{"text":"Question: Let c(n) = 2*n + 13 - n - 2. Let f be c(0). What is the remainder when 22 is divided by 130\/11 + 2\/f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -s + 220, -5*l + 9*l - 3*s - 315 = 0. Calculate the remainder when 232 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.91474 and 204.\nAnswer: 205.91474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**4 - 156*p**3 - 2160*p**2 + 4800*p + 192000.\nAnswer: -3*(p - 8)*(p + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4969?\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from fffffcfffffccfffff?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhgq when four letters picked without replacement from {s: 4, h: 5, g: 2, q: 4}.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 15*b - 1. Suppose 18 = 4*f - f. Let q(c) = c**3 - 5*c**2 - 5*c - 3. Let r be q(f). Does 17 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 10)*(5*s**3 - 4*s**3 + 0*s**3) + 0 + 2*s**3 + 0 + (-5*s + 2*s + 5*s)*(-2*s + 2*s**2 + 2*s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of l**6 + 3*l**5\/5 + 34*l**3\/3 - 11. Find the third derivative of z(i) wrt i.\nAnswer: 360*i**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m + 2214. Let i(f) = -130*f. Give i(t(h)).\nAnswer: 130*h - 287820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2. Let o be 22\/99 + (-4)\/18. Let m be q(o). Suppose m = 2*j - 33 - 9. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -15*c - 2195. Let r(i) = 8*i + 1099. Let d(g) = -4*l(g) - 7*r(g). Is d(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.975573 years in months?\nAnswer: 83.706876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.0231*-7.1241\nAnswer: 0.16456671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 505, 508, 513, 520, 529, 540, 553?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/40*(-10)\/6*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 568612 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = s + 18, -3*x - 30*s + 27*s = 18. Let w(d) be the first derivative of -3*d + 20 - 3\/2*d**x. Calculate w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 554, -0.05, 158 in ascending order.\nAnswer: -0.05, 158, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + n - 5*n)*(6 - 4*n**3 + n**3 - 12 + n**4).\nAnswer: -4*n**5 + 12*n**4 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1182449, -2365127, -3547805, -4730483, -5913161, -7095839?\n\"Answer: -1182678*j + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 13*j + 34. Suppose -3*w - o + 8 - 45 = 0, 4*w + 4*o = -60. Let y be r(w). Calculate the remainder when ((-8)\/y - (-139)\/6)*2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1768, -7075, -15926, -28321, -44260, -63743?\nAnswer: -86770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1223 in 11, 0.5, -2, -1\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11010111100000101 (base 2) in base 11?\nAnswer: -759a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1154 by -1.\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 6.2  (b) -2\/7  (c) 73912\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 114 - 113 - 1582*p - 1287*p. Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 9. Suppose -o - 3 + s = 0. Suppose 0 = -4*m + 2*g + 18, 0*m - 55 = -5*m - o*g. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2502*y**3 + 285970*y**2 - 5 + 5 - 283984*y**2 wrt y.\nAnswer: -15012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {b: 6, f: 2, h: 2, e: 1, n: 1, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and 66886.9.\nAnswer: 66883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -28135*k. Let u(o) = 2555*o. Give h(u(x)).\nAnswer: -71884925*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -35.76817 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + t**2 + t)*((-2*t - t + 2*t)*(-3 + 4 - 2) + 2*t - 3*t + 2*t - 28 + t + 28 - 2*t - 3*t - t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.3992 or 0.021?\nAnswer: 0.3992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 6, t: 4}. What is prob of picking 2 t and 2 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 132 + -88. Calculate the highest common factor of 44 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3, -15, -45, -87, -141?\n\"Answer: -6*j**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1326, -2649, -3970, -5289, -6606?\nAnswer: -7921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 7*q - 96 = 2*q, -2*q = 8. Let n be (-2)\/3 + (-4)\/(-6). Suppose -5*w + 36 + v = n. Solve 12 = 5*m - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -563204 divided by -4?\nAnswer: 140801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85 + 66 - 107)*(r + 2*r - r)*(-2*r + 2*r + r).\nAnswer: -252*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000424 rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 21, 72, 149, 246, 357, 476?\n\"Answer: -y**3 + 19*y**2 + y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3471170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*j*v**2 - 69391*j*v + 2*j - 78056*v**5 - 21*v**2 wrt v.\nAnswer: -4*j - 1561120*v**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.9  (b) -7.1  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -25041 (base 6) to base 13\nAnswer: -18b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1510 - -3202?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/8)\/h)\/(h**(-7)\/h))**(-22) assuming h is positive.\nAnswer: h**(-605\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 352 - 349 = t, 0 = 6*i - 5*t - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - a. Let g be o(-3). Let l(h) = -10*h + 1. Let x be l(g). Suppose -4*y + x = -143. Calculate the highest common divisor of 34 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10434 - 35*l + l**2 + 29*l**3 - 69*l**3 + 12*l + 10434 to f + y*l + o*l**3 + a*l**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 563 a factor of 52075811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (((-1)\/(-3))\/(13\/39))\/1. Let u be d - 3 - (-90)\/18. Let l(f) = 21*f - 14. What are the prime factors of l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -15*t**3 + 2*t**2 + t + 8. Let h(f) = -75*f**3 + 11*f**2 + 7*f + 40. Calculate 2*h(u) - 11*i(u).\nAnswer: 15*u**3 + 3*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/118580 and 31\/1100.\nAnswer: 592900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 5*r + 8 - 1.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 + 24*k - 51. Let l be p(-14). Solve -6*f - l = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1858690207 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 0)*-3 - (4 + 0). Put d, 1, -4, -5 in ascending order.\nAnswer: -5, -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 320, 295, 214, 47, -236, -665?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2373 divided by -526.\nAnswer: 2373\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 297 and 486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/26 + (924\/78 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/((n*(n*n**17*n)\/n)\/n)))**(-13)\/(n**(4\/13)\/n)**(11\/5) assuming n is positive.\nAnswer: n**(-15111\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00926 to 4 decimal places.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 23 = -152. What is the highest common factor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9936 + -3244. Calculate the highest common divisor of n and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3051 divided by -339\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -16, -39, -68, -103, -144, -191?\n\"Answer: -3*i**2 - 14*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7488)*-1*-3 - -2*(sqrt(7488)*2 - sqrt(7488) - sqrt(7488) - sqrt(7488)))\/(-3*2*sqrt(100)*-4))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -2\/7  (c) -0.5  (d) -0.12  (e) 521\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 7:35 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15993?\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -38*p**2 - 8*p + 17. Let g(z) = 37*z**2 + 7*z - 14. Give 5*g(d) + 4*k(d).\nAnswer: 33*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 199917163 to the nearest integer?\nAnswer: 14139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 4*a - 2 = 0, 3*t - 2*a - 3 = 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -1\/14, 1\/24, -2834?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -i + 4, 4 - 12 = 2*h. Let w = 3 + -5. Let r(t) = t**3 + 2*t**2 - t - 2. Let q be r(w). Solve q = p - i + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3445 = -144\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/51960 and -52\/135?\nAnswer: 467640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 9*i**2 - 20*i + 106. What is the least common multiple of 80 and b(6)?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -4*i**2 + 834*i - 2477. Determine k(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262*y**3 + 156*y**3 + 0*y**2 + 20101*y - 20101*y - 421*y**3 + 0*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 6*r. Let w(f) = 491*f**2. Give w(c(y)).\nAnswer: 17676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**2. Let i(q) = 325*q**2. What is i(n(y))?\nAnswer: 1300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*f**2 - f**2 + 2*f**2 - 6*f**2 + f**2 + 4*f**2 + (4 + 0 - 2)*(-2*f**2 + 0*f**2 + 0*f**2).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6560347 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 0*w + 2*w)*(-3*w**3 + 0*w**3 + w**3) - w**4 + 0*w**4 + 3*w**4 - 2*w**3 + 2*w**4 + 2*w**3.\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 15*g**3 + 2*g**2 - 1. Determine j(-2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -739, -738, -737, -736, -735?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f**3 + 47*f**2 - 18*f = 0. What is f?\nAnswer: 0, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/2097798 and -61\/21.\nAnswer: 14684586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + 2*h + h**3 - 6*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(325) + sqrt(325) + -2*sqrt(325) + 4 + 3 - 5*(2 + 2*sqrt(325))).\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 29\/((-56376)\/630) + (-2)\/(-8)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -1, i - 6*i - 91 = l. Let n = -12 - i. Suppose -n*z = -9*z + 15. Solve -3*s = -7 - z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -3, -680.\nAnswer: -680, -51, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 517*a + 3634. Determine t(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = g - 0*j + 5*j, 4*j = -5*g - 74. Suppose -248 = -4*w + 2*q, 5*q - 43 = -3*w + 143. Let x = w + g. What is the highest common divisor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate o**2 + 17*o - 133.\nAnswer: 2*o + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 26*l**2 - 233*l - 7. Determine m(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-1)*(-760)\/15 - -2. Let b be (-2)\/(-10) - 195\/v. Put 0.5, 0.1, 0.3, b in decreasing order.\nAnswer: b, 0.5, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 213647*v**2 - 740742*v wrt v.\nAnswer: 427294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r**3*s**4 + 8*r**3 - 235625*r**2*s**4 + 3117*s**2 wrt s.\nAnswer: -48*r**3*s - 5655000*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260 and 539073548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -9*l**5 + 5487*l**4 - 99901*l**3 + 362637*l**2 - 209270*l + 33096 = 0.\nAnswer: 1\/3, 4, 14, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11332201 - 10002?\nAnswer: 11322133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48532 + 29109. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.41499662 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -8*l - 52, l + 3*g = -93 + 83 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 90 = -4*o - g, 0 = -3*o + 2*g + 76. Let p = -55 + 34. Let n be (o\/p)\/((-2)\/(-1)). Put 2, -5, n in ascending order.\nAnswer: -5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -12*n**4\/5 + 66*n**3\/5 - 126*n**2\/5 + 96*n\/5 - 24\/5 = 0?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1188510364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-766)\/(-1915)*(-2*92\/16)\/(1\/1)\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9 or -47781?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of -x**5\/60 - 5*x**4\/8 + x**3\/2 + 13*x**2 - 3*x + 26. Let w(y) be the second derivative of s(y). Let h(z) = z. Give h(w(t)).\nAnswer: -2*t - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 12) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m + 6. Let n be q(-4). Let l be 6\/14 + (n - -2). Let w = 6\/7 + -43\/42. What is the closest to 1 in 3, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 662062 is divided by 1213.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 28 = 157. Let f = a - -63. What is the highest common factor of 50 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 - (-6 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 596 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5 = -2*p. Let f = -2.1 + 0.1. Put -0.2, p, f in decreasing order.\nAnswer: -0.2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + k - 2*k = 31, -31687*v - 84 = -31686*v - 15*k for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -8*r**2 - 7*r - 12. Determine z(-4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 - 4*m - 6. Let z(r) = 3*r**2 - 9*r - 13. Let u(j) = 5*i(j) - 2*z(j). What are the prime factors of u(3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2893, 3.\nAnswer: 2, 3, 2893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111111011101 + -1011011?\nAnswer: 111110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 119449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3*k - 691 - 330, -1680 = -5*k + u. Let z = -333 + k. Find r, given that 2\/11*r**5 + 2\/11*r**z - 4\/11*r - 6\/11*r**3 + 0 - 10\/11*r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) -10  (c) -3  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + l + 36. Let f be v(0). Suppose 4*r = r + f. Let q(s) = 5*s - 77. What is the least common multiple of r and q(19)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*i = 0. Suppose -2*z + i*z + 4*p = -156, -z + 72 = -5*p. Calculate the remainder when z is divided by 20 - (29\/9 + 14\/(-63)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -163915*y**5 - 92*y**4 - y**3 - 408510600*y**2 wrt y.\nAnswer: -9834900*y**2 - 2208*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1660?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18901246460 + 213130455300015\/11276. Let m = g + 2\/2819. What is the common denominator of ((-1)\/((-10)\/244))\/((-16)\/(-5)) and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -4*i + 7*i - 5*i. Let q(f) be the second derivative of -f**4\/6 + f**3\/3 - f + 7. Calculate d(q(s)).\nAnswer: 4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45*m**5 + 4*m**3 + 11*m**2 + 6 wrt m?\nAnswer: -2700*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*a*j**3*u**2 + 773861*a*j**3*u + 15*a*j**2*u**2 + 70424*a*j**2 + j**2*u wrt j?\nAnswer: 18*a*u**2 + 4643166*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*w = 4*f + 2, 4*w - 2*f + 24 = 0. Which is the closest to 0.1?  (a) w  (b) 5\/2  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9241239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 3. Suppose -4*i - 3*w + 149 = 0, 6 = -2*i + j*w + 87. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - 5*d - 9 + 3, -3*d = 7*q + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 14*r. Let y(t) = 2 + 2 - 4 + t. Calculate v(y(m)).\nAnswer: m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24112403.\nAnswer: 7, 53, 103, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-6)*(8 - 360\/50)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 65 = 3*f - 5*u, 0 = -5*f - 4*u - 74. Let k = f - -21. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24310 (base 5) to base 11\nAnswer: -1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1231*m**3 + 5 - 228 + 65*m + 13 + 1226*m**3 + 30*m**2.\nAnswer: -5*(m - 7)*(m - 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -219 at most -284.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 7:25 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24450 - -24478.974. Let p = a - -0.026. Let h = -28.7 + p. What is h rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (3*sqrt(7) + 2)) + sqrt(567)*-5.\nAnswer: -47*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 6*n - 94. What is t(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 10 - (50 - ((-7 - 4) + -4))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - 25. Let n = t + 21. Solve -4*k = n + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3070, 5296, 9006, 14200, 20878?\n\"Answer: 742*t**2 + 2328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -13*y - 130. Let u be s(-10). Let f(o) = 48 - 25 - 23 + o + u*o. Let h(q) = -7*q - 2. Give f(h(b)).\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 287 a factor of 170433802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kmmmmmkmkkmmkkkmkkm. Give prob of sequence kk.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -718 + -2128?\nAnswer: -2847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 0*i**3 + 6*i + 1\/4*i**4 + 0 + 7*i**2. Differentiate k(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 7*w**2 - w + 8. Let j be s(7). Let x be (j + 12\/4)*2. Suppose 558 = 5*f + x. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 1778753213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 20\/203, 4, 0.3, 0.1, 3\/2.\nAnswer: -8, 20\/203, 0.1, 0.3, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 0*g + 0 + 1\/24*g**4 + 0*g**3 - 3*g**2. Let h(i) = 10*i - 9. Let y(x) = x - 1. Let u(w) = -2*h(w) + 18*y(w). What is u(j(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 153654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m + 126. Let j(r) = 2*r + 42. What is 3*c(b) - 8*j(b)?\nAnswer: 2*b + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 112266 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - 9\/(-6 + 3). Suppose -v*d + 5 = -15. 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 = -33 + 37. Sort i, 0.02, 2\/15.\nAnswer: 0.02, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3928487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3*k + 55 = -0*k, -2*k - 60 = -5*o. Let y(g) = g**2 + 1. Let u be y(5). Suppose -5*f = w - 24 - o, -4*w + u = -2*f. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(50\/(-15))\/(-5)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35294273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 434444.\nAnswer: 2, 313, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -8*c**2 - 6*c. Let r = 24 - 11. Let l(g) = 17*g**2 + 13*g. Let y(i) = r*j(i) + 6*l(i). Let n(d) = 156*d - 156*d + d**2. What is n(y(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 101723 + -101729.10132. Let x = 6.1 + b. Round x to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 - 35.05. Let q = 2.55 + w. Let b = -2.5 + q. What is the biggest value in -5, b, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-52)\/195)\/(3\/((-18)\/(-20))). Sort -2, t, -53 in descending order.\nAnswer: t, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 86  (b) 0.1  (c) -0.13  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 139*n - 24. What is the hundreds digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8971?  (a) -5  (b) -2\/11  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*a**5\/3 + 82*a**4\/3 + 154*a**3\/3 + 130*a**2\/3 + 46*a\/3 + 4\/3 = 0. Calculate a.\nAnswer: -2, -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**3 + 2710*r**2 + 28805*r - 212400.\nAnswer: 5*(r - 5)*(r + 16)*(r + 531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 38 + -38. Suppose -5*f = 0, z - 3943 = -u*z - 3*f. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13648 + -286610\/21. What is the closest to 33 in b, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - 4 - (0 + -1 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h - 11*h + 2 - 18*h - 7*h.\nAnswer: -34*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.3 take away -2.5845487?\nAnswer: -0.7154513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 48*y - 252. What are the prime factors of z(28)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 2586654.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-1530)\/34 + 12)\/((-3)\/143) and 858.\nAnswer: 9438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 78 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/(-66))\/((-18)\/(-33)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 8*f - 0 + 85 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -192 + 577\/3. Let c(u) be the second derivative of 3*u + 7\/30*u**6 + 0*u**2 + 0 + 0*u**5 + s*u**3 + 0*u**4. What is the second derivative of c(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -16.942  (b) -2  (c) 0.5  (d) -1\/3  (e) 6\/13  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2474031 rounded to 4 dps?\nAnswer: 0.2474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -681*g + 706*g - 400 = 0 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -68*w**2 - 1656*w**6 - 4*w - 4833*w**2 - 2440*w**6 + 4*w wrt w.\nAnswer: -491520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.7 - 0.3. Let f = -1187\/36 + 212\/9. Let u = f + 29\/3. Sort -0.3, j, u.\nAnswer: j, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12760 - -13588. What is the highest common divisor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 580 = 4*q + 188. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 98 - 98 - 33*c - c + c + c + (-2 + 4 - 4)*(-3*c - 2*c + 3*c) + (4 - 4 + 2*c)*(-2 - 1 + 4) + 2*c + 4 - 4.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -678 - 685 + 1363 - 118*i**4 - 4*i**3 + 122*i**5.\nAnswer: 2*i**3*(i - 1)*(61*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 times 12?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17431 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 164 = 311. Suppose 4*l - 140 = -4*w, -h = -3*l - 3*w + 5*w. Suppose 4*p = -2*d + 59 + 63, d - l = -p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1227 + 1249. What is the lowest common multiple of 33 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 314030322 - 1210?\nAnswer: 314024112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 13*a - 12. Determine y(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/7  (b) -2\/33  (c) -0.1  (d) 11  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-241)\/8435*1280\/96*2\/(-8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 90 divided by -3117\nAnswer: -30\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4 = -r, 3*l - 2*r = 1443 - 1486 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 253854993419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -276388 (base 16) in base 4?\nAnswer: -21312032020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17031 or -17045?\nAnswer: -17031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2148211631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -0.4, -3\/5, -643, 0.4 in increasing order.\nAnswer: -643, -2, -3\/5, -0.4, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 137950 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q + 3*l - 74 = 0, -16166*l + 16171*l - 105 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 - 3*m**2 + 5*m**2 - 2*m - 20 to f + q*m**2 + c*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98039 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 2854  (c) -32  (d) -81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 918.1, 5, 2\/13, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 11*f**2 - 11*f - 10. Let q be j(-10). Suppose -s - v + 6*v + 23 = q, 0 = 5*s + 4*v + 1. Let 1\/4*d**s - d**2 + 0 + d = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/3*(-2)\/((-12)\/9). Let c = -2 - -2. Let k = -5.7 + 0.7. What is the second biggest value in c, m, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 4*v**3 - 62*v**2 + 26*v + 57. Let j be n(15). Suppose 7*b = 2*b - 5. Let w be -5 + 1\/((-3)\/3). Sort w, j, b in decreasing order.\nAnswer: b, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/7987824 and 157\/4212.\nAnswer: 71890416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320260 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -2*b**4\/9 - 5594*b**3\/3 - 11182*b**2 - 150938*b\/9 - 22360\/3 = 0.\nAnswer: -8385, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 2 - ((-26 - 13) + 42)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 97009864 and 133388563.\nAnswer: 1067108504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -15570*t. Let x(n) = 4*n. Give x(q(a)).\nAnswer: -62280*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-40 - 8*z + 40)*(328 + 91*z - 328) as k*z**2 + a*z + n and give k.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9857246 to the power of 1\/2, to the nearest integer?\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 357794262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/b**(-6\/11))\/b*b**8*b)\/((b*b*b*b**(-12\/5)\/b*b*b*b*b*b*b)\/(b\/(b\/(((b\/((b\/(b*(b**(-8)\/b*b*b)\/b*b)*b)\/b*b*b))\/b)\/b))*b)) assuming b is positive.\nAnswer: b**(-223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 178821*r - 11. Calculate u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + 1 + sqrt(272) + sqrt(34)\/(sqrt(32) - sqrt(2)))*-6)**2.\nAnswer: 888*sqrt(17) + 93128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - -111. Suppose -10*g = -3*g - f. Is g smaller than 49\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 + 19*l + 65. Let k be s(-15). Let u be 4\/(-10) - (-22)\/5. Let v be (-4)\/(u\/3) + 18. What is the greatest common factor of k and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.52 - -4.48. Sort y, -2\/7, -5.\nAnswer: -5, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10030311 divided by -10030311?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -217 - -224. Let n(r) be the second derivative of r**3\/3 - 2*r**2 + 2*r. What are the prime factors of n(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 94448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-10)*-14)\/(3 + (-13)\/5)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j - j - 2*j + 0*j. Let y be i(0). Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = 8*m - 87. Suppose 0 = -0*h + 2*h - 34. Calculate the remainder when m is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -3*r + 8, -4*u + 4 = -3*u - 2*r. Solve 6*f - u = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14691353\/3 or 4897117?\nAnswer: 14691353\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 6*q**2 + 3*q - 15. Let o be a(6). Suppose -y = 4*v + 3*y + 16, 12 = v - o*y. Suppose v = -0*w + 4*w - 16. Solve 0 = -0*m + w*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3044771?\nAnswer: 613, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, -2\/5, -0.01, 2\/109, -7\/4, 20, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*b - y = 45*b - 1, 2*b - 3*y = -5. Let o(z) = 2508*z - 1254*z - 1254*z + 9*z**b. Let n(l) = 3*l - 3*l - l. What is n(o(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from {v: 5, n: 1, z: 4, o: 3}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 79 and 0.4?\nAnswer: 31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60493109?\nAnswer: 60493109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17323*z + 32134*z - 14801*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 12*s**2 - 13*s + 4. Calculate m(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -279 - -3629\/13. Let o = -12 - -9. What is the nearest to o in 3\/2, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -o**7\/840 - o**6\/120 - o**5\/60 - o**3\/6 + 3*o. Let v(d) be the second derivative of y(d). What is r in v(r) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18e2 (base 15) to base 12\nAnswer: 314b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 219 and 39995.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o - 169*o + 241 + 4725 = 0. What is the highest common divisor of 1443 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -13. Is x > -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(4\/9))\/((-17352)\/69408).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2017830524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -325 - -323. Which is the closest to 2\/13?  (a) 4  (b) -15  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66599, -66529, -66437, -66323?\nAnswer: -66187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 520 and 3055?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 312 and 66.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.3 - -2.7. Let x be (16\/48)\/((-1)\/(-6)). What is the biggest value in c, -8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -194470892642843 minus 1?\nAnswer: -194470892642844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -43*p**6\/3 + 61*p**2\/2 + 121. Find the second derivative of k(y) wrt y.\nAnswer: -1720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -293*b**2 + 36*b - 75. Calculate q(2).\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 281957 and 4797?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219*a + 222*a - 204 = 0. What is the highest common factor of a and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3\/37  (b) -2\/3  (c) -3  (d) 0.09  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 - 1 - (-44 + (-954)\/(-48))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1600*f - 1600*f + 31*f**3 + (4*f + 0*f - 2*f)*(2*f**2 - 5*f**2 + f**2) - 2*f**3 + f - f + 197 - 19*f**3 - 197 - 2*f**3 + 5*f - 5*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -318710 divided by 2198\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -416 - -132. Let t = n + 475. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/27 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-13))**26)**(-9\/5) assuming m is positive.\nAnswer: m**(3042\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -148*q**2 - 20368. Let g(r) = 16*r**2 + 2263. What is 28*g(o) + 3*p(o)?\nAnswer: 4*o**2 + 2260","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21595 is divided by 216.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**9*k**17)**22 assuming k is positive.\nAnswer: k**572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/208 and -17\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1293 and 160350533?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 12:52 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 40 = -3*j. Sort -1\/2, j, 2 in descending order.\nAnswer: j, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -248063 = 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from bniniidonootno.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4bda75 (base 16) to base 2.\nAnswer: 10010111101101001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3973 - 2?\nAnswer: -1.6027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 + 289)*(-3)\/(-9)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -1 - 4. Suppose -3*l + 22 = -o*v - 15, 2*v = -3*l + 2. Suppose 0 = 2*z - l*z. Solve -d - 6 + 3 = -2*a, 2*a = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214215 (base 6) to base 8.\nAnswer: 42603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 898111 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*121\/(-176) - 4\/2. Is 2 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1654 + 6*v**3 + 1155 - 2057 to the form r + d*v**3 + a*v**2 + h*v and give r.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/269 and 56\/11.\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + -88. Let u = 178 + x. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30.95 + 31. Which is smaller: n or 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (14 + -7 + (1 - (10 - 7))) - -28?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 283*f**4 + 132*f**3 + f - 56394 wrt f?\nAnswer: 1132*f**3 + 396*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**(-10))**(-1\/27)\/(s**(4\/9)*s\/((s*s**(-22)*s)\/s)))**(-7\/5) assuming s is positive.\nAnswer: s**(1442\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2*f + 294, 3*f = 6*f + 6. Suppose 53*d = s*d + 60. Let g be (-2)\/7 + d\/(-42). Solve g*o = -o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.635 in -4, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zssz when four letters picked without replacement from sszszszzsszssszzzzss.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccnc when four letters picked without replacement from {c: 10, n: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c + 1107 = -212*c + 883 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 5:11 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10319999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 120*f. Let w(c) = -2*c**2. Determine m(w(v)).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - 1)*(4*r**2 - 6*r**2 + 7*r**2)*(-2 + 4 - 5)*(-r + 0*r + 0*r) to u*r + y + g*r**2 + v*r**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -4, 27194\/157?\nAnswer: 27194\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {w: 2, r: 5, o: 2, n: 2, f: 2, a: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 1)*(-6*r**2 + 14*r**2 + 10*r**2 + (-r + r + 3*r**2)*(2 - 1 + 0) + 2*r**2 + 2*r**2 - 2*r**2) to s + y*r + g*r**2 and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3422*c - 2. Let d be y(2). Let u = 95733\/14 - d. Let x = u + 17\/7. What is the smallest value in 4, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + n - 2*n = 15, -f + 9 = -2*n. Let t be 1\/f*36\/(-4). Let w be -2*t\/(3*6). Which is the closest to 0?  (a) w  (b) 0  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01 and 11070?\nAnswer: 110.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 10:08 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m**2 + m**2 + m**2 + (-4 + 4 - 2*m)*(-945*m + 119*m - 1723*m).\nAnswer: 5100*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-21)*d\/(d*d**(-22))*(d**(-2\/17))**(22\/7))**(1\/2) assuming d is positive.\nAnswer: d**(75\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -44357624 (base 8) to base 12\nAnswer: -3250470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 769781 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1371 times -2.1?\nAnswer: 2879.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 7*t - 6. Let r be a(6). Let g be -1 + 26 - (-4)\/(-4). What is the highest common divisor of r and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3752, 3761, 3782, 3821, 3884, 3977, 4106?\n\"Answer: c**3 + 2*c + 3749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 23 - 33. Solve -h*t - 1 = 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -13. What is the greatest common divisor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q - 2. Let k(g) = -2*g**2. Determine b(k(t)).\nAnswer: 4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 5*z + 36. Let p = z - 26. Let k = p + -4. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38185 + -25936. Suppose -561*j - c = -564*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1632 and 31311008.\nAnswer: 93933024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43548?\nAnswer: 2, 3, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1097 + 982 - 2*o - o - 803 in the form b*o + i and give i.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, k: 2, w: 6}. What is prob of sequence wwee?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*o)*(4*o**4 - 3*o**4 - 4*o**4) - 3*o**5 + 3*o**5 - o**5 + (o**3 + 3*o - 3*o)*(0*o**2 + 4*o**2 + 5*o**2).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82892 = -18014*t + 16795*t for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 5*w**2 + 7*w + 8. Let v be k(-6). Let a(u) = 3*u - 2. Let q be a(2). Solve v*r - 2 = q*b, -r - 3*r - 4*b = -16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2459 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -960 + 1771. What are the prime factors of g?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 5:16 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16218 - -16227.549. Let g = 9.5 - y. Let j = -0.029 - g. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 x when three letters picked without replacement from {x: 2, r: 1, u: 2, o: 2, h: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-48)\/(-6))\/(4\/(-206)). Let g be 2\/8 - l\/16. What is the highest common factor of g and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*x**2 + 95*x**2 - 107*x**2 + 12*x**2 + 2*x**2 + 10*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 64 = -12. Let r = -11 - y. Let o = 11.6 + -11.4. Which is the fourth biggest value?  (a) r  (b) -4\/7  (c) -1\/3  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 24. Let z(v) = -v**2 + 6*v - 4. Let c be z(5). Suppose -6*s + m*g + 38 = -2*s, c = -s - 3*g. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-320 - (2 - 1))*-811. Let l = x + -182331. Round l to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 7*y + 1. Let n be q(-3). Sort n, 1, -2 in increasing order.\nAnswer: n, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 37\/2 of a microsecond?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 + 27.1. Suppose -6 = -f - 1. Let n be (f\/30*2)\/(2\/(-4)). What is the biggest value in n, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -156, -316, -474, -630, -784?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*j**5 - 44*j**4 + 2*j**3 + 239731*j**2.\nAnswer: 840*j**2 - 1056*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -l - 16, 2*l + 44*g - 47*g = -17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/3509961 and -56\/58305.\nAnswer: 17549805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3901  (b) -0.7  (c) 2  (d) -0.5  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*v + 66 = 20*v. Suppose -279 = v*c - 25*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-372)\/(((-15)\/(-1250))\/1). What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 3*p + 6)*(259 - 5 + 321 - 113).\nAnswer: -1386*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2077 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/6*10\/18 + (-20)\/(-90). Solve s**4 - m*s**2 - 7\/4*s + 11\/4*s**3 - s**5 - 1\/2 = 0 for s.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-43)\/258)\/((-15)\/54)*(-6)\/(-9)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.365 + -0.365015875. Round v to seven dps.\nAnswer: -0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121) - 6*-1*sqrt(121))\/(-6*sqrt(44)\/sqrt(4)).\nAnswer: -7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2*sqrt(612) + (sqrt(17) + sqrt(119)\/sqrt(63) - sqrt(17) - (sqrt(17) - (-4 + (-2*sqrt(17))**2))).\nAnswer: 34*sqrt(17)\/3 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -18 - 22. Let w(m) = m**2 + 9*m. What is the least common multiple of w(x) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3854912\/406419 + 22\/10421. Let y = 2\/28485 + -7463096\/370305. Let g = y + o. Find the common denominator of g and -17\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4 = 1. Find the common denominator of 17\/6 and (-34 + -1)\/(-2*q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 2*c**2 + 0*c)*(-56*c**3 - 135*c**3 - 46*c**3 + (c + 3 - 3)*(-2 + 2*c**2 + 2)) + c**5 - 4*c**5 + c**5.\nAnswer: -472*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32 by 17.\nAnswer: -32\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 AM and 4:23 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((-75)\/(-282))*3375\/(-216)*1\/(-25)?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j**3*m**2*v - 4*j**3*v**3 - 3*j**3*y + 3*j**2*m*v**3 + 6*j**2*m*v + 2*j*m**2*v*y + v**2*y wrt j?\nAnswer: -12*m**2*v - 24*v**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 75*k + 352. Calculate l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 5617020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gst when three letters picked without replacement from gsgsswts.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 + 20*z + 4. What are the prime factors of t(7)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x = -0*x - 185 + 140 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5883?\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -124.8+0.2\nAnswer: -124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-1125)*693\/308?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from aaaaaaaaffaffa?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-180)\/(3307500\/87325) - (-48)\/10\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 117 + -110. Let k be 958\/8 - 4\/((-112)\/s). Suppose -7*a = -3*a - k. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 24\/(-60) - (0 + 142\/(-5)). Solve 3*i + a = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 40589343, 40589341, 40589329, 40589301, 40589251?\n\"Answer: -a**3 + a**2 + 2*a + 40589341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (8 + -7 + 2 + 2 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 24032.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/3, -0.3, 3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -127.79786 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -30 + 34 - (-1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 - 24*f - 30. Calculate d(-14).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c - 24. Let f(d) = -d**3 - 31*d**2 - 30*d - 4. Let h be f(-30). What is p(h)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1464 + -36?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b - 2*b + 13294 = 26*b. What is the remainder when 1173 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**3 + 14*j**2 + 336*j - 2088. Calculate i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -90444*t - 542659. What is a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 4 + 4)*(0*x - 3*x - x + (3 - 6 + 1)*(-x + 3*x + 0*x) + 0*x + 5*x - 4*x + (0 + 2 - 3)*(4*x + 0*x - 2*x) + 2*x - 1 + 1)*(826 - 2583 - 801).\nAnswer: 17906*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 (base 7) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 - 8*g**2 - g - 14. Calculate o(-4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**5 - 29*g**4 - 43*g**3 - 31*g**2 - 8*g + 2. Let l(b) = -b**5 + b**4 - b**3 + b**2 + b - 1. Let v(w) = 5*a(w) + 10*l(w). Let v(j) = 0. What is j?\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + (0\/(-2) - -2). Let n(y) = 2*y**2 + y + 1. Let d be n(s). Let x be (9\/3)\/(d\/6). Solve -x = -z - 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 237*g - 299*g + 893*g - 302*g.\nAnswer: 55*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ziz when three letters picked without replacement from izzizzziiiziz.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12941 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8548761 to the power of 1\/2, to the nearest integer?\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/19 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2)\/r*r**4\/r)\/(r\/(r\/(r**3\/r)*r)*r**(-1\/4)) assuming r is positive.\nAnswer: r**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s + 4. Suppose -u + 0*u + 5 = 0. Suppose u*w + 15 = 10*w. Let v(k) = -3*k + 5. What is w*v(d) - 4*a(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4*n + 154, -72 - 117 = -5*n + 3*f. Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48\/7 in 3\/7, -2, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84)*1*-2 - sqrt(84)))))\/sqrt(12))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/10 + (-42)\/(-10). Suppose -u - n = -q, 4*q - 18 = 5*u - 3. Let a be 9 + 3*(-6)\/9. Solve -3 = q*i + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44521674?\nAnswer: 2, 3, 17, 19, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yllfqdlfzlflzdl. Give prob of picking 1 y and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-6*-4*2*(1 + sqrt(11)) + 5 + 4*(sqrt(44)*2*-5)\/(sqrt(108)\/sqrt(3))))**2.\nAnswer: 275600*sqrt(11)\/3 + 3606425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4588 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -3. Let k be 5 - v\/(-1)*1. Suppose 3 = k*p - p, -3*q + p + 23 = 0. Calculate the least common multiple of 12 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**10*v**(-2\/3))\/(v**(-2)\/v**(1\/5)))**(-28) assuming v is positive.\nAnswer: v**(3136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 21 = -2*k + 79, 2*h - 5*k = 65. Suppose 4*g = 6*g - 10. Suppose -3*f + g*f = h. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 8\/553353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1463 + -1102. Which is greater: i or 1447\/4?\nAnswer: 1447\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) 1  (c) -0.54  (d) 5\/7  (e) -1  (f) 2\/51\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -8. Let q = -23842 + 23833. Sort q, j, 3 in decreasing order.\nAnswer: j, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 0.0137?\nAnswer: 0.4137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -148 - -150 - (23 + -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17725564697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24935 is divided by 8304?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 231 and 1176.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5*c + c**3 - 2*c - 7*c**2 - 1 + 4*c. Suppose 5*q = v + 31, 4*q - 2 = 4*v + 26. What is g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 431031966 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of 2*j**3 + 7*j**2\/2 + 23. Suppose -h + 25 = 4*h. Let f(u) = -5*u**2 - 7*u - 1. Let d(a) = h*f(a) + 4*r(a). Give d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjkmkzkkumkzkjmz. Give prob of picking 1 u and 1 m.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -29. Let z be ((-6)\/40)\/(s\/(-8)). Which is the closest to 1?  (a) 2\/9  (b) -2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1120363 (base 7) to base 11\nAnswer: -95853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -28. Suppose 0 = -k - w, 4*g - k - 10 = -1. Suppose 0 = 3*x + 4 + 8, -2*d = -g*x - 44. 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: Solve k + 15 = -5*x, -6 - 13 = -3*x + 5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4094*v**2 + 4104*v**2 - 8198*v**2 - 2*v + 17*v**3 + 2*v.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/4*(-100)\/75\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, u: 5, n: 3}. What is prob of sequence uc?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3684 divided by -57.\nAnswer: -1228\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2\/b)**(-5\/3)*(b\/(b\/(b**(-4)*b)))**(-29) assuming b is positive.\nAnswer: b**(256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 1241*c + 182072. Calculate m(170).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -182*q**2 - 877*q + 1844. What is the derivative of p(x) wrt x?\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6071 and 122655.\nAnswer: 57279885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 228*x + 3*x**2 - 228*x. Let p(q) = -9*q. Let m(k) = 4*k. Suppose -19 = 5*i + 11. Let j(b) = i*p(b) - 14*m(b). Determine j(f(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/56 and 57\/2096.\nAnswer: 14672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3258297 + -853684. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 19*v**2 + 44*v - 1947. What are the prime factors of n(-63)?\nAnswer: 2, 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (-2150)\/129 + 14\/(-6) + 361\/60?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -1\/6  (c) 11  (d) -3  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 567 + 954 = -169*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4, t: 2, d: 8, w: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.96 + 0.96. Let d = 20.8 - 21.1. Sort d, -4, r, 4 in decreasing order.\nAnswer: 4, d, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 1183*a**2 + 5915*a + 11. What is d(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 8 - 4. Let z(q) = -3*q - q**2 - 3 - m - 8*q. Let o be z(-7). What is the highest common divisor of 147 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47817088 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.203, -1.1, 0 in decreasing order.\nAnswer: 4, 0.203, 0, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010110100111101 (base 2) to base 16.\nAnswer: ad3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 735, 725, 699, 651, 575?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6391742 + 4?\nAnswer: -6391738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/7  (b) 5  (c) -0.4  (d) -1.911  (e) -2\/15  (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-1\/5))**(8\/13)*(f**(1\/3))**(-5\/8))\/((f**(-2)*f\/(f\/f**(-2)))\/(f**(-1)*f**1)) assuming f is positive.\nAnswer: f**(7067\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.7 - 0.5. Let a = -2 + 2.4. Let m = a - 0.6. What is the second biggest value in m, d, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 - (-31 + (19 - 3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 746922 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 55840?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 6:37 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6840 divided by 855.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 - 2*o**3 + o**3)*(-2*o**2 - 4*o**2 - 4*o**2).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*p = -d - 8, 3*p = -4*d + 21. Suppose 2*b - d = i, -b + 16 = -2*i + b. Let l(g) = -g**2 - 6*g + 4. Let u be l(i). Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 149*l - 6. Let o be w(2). Suppose 1093 = 4*x - 3*j, x = -0*x - 3*j + o. List the prime factors of x.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -293.2 - -292.4. Which is the smallest value?  (a) w  (b) 0  (c) 2  (d) -8  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7094 - -7090. Sort p, -3, -58 in decreasing order.\nAnswer: -3, p, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 0*d**4 - 7\/3*d**3 + 0*d + 0 + 0*d**5 + 1\/12*d**6 - 7*d**2. What is the derivative of x(z) wrt z?\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - 12. Let a be 5 + -3 + 1 + p. Is (33\/(-12))\/((-2)\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3417076*-2\nAnswer: -6834152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 9*t**2 + 6*t + 10. Let v be y(-4). Let m = v - 199. Sort m, -1, -2, 5 in decreasing order.\nAnswer: 5, -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 5 = -p, 3*p - 29*y - 9 = -26*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 3 + 5*t - 2 - 1. Let x be h(6). Let n = x + 20. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (86 - (51 - 2)) + -49.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 5*m + 11. Let w(h) = -6*h - 9. Calculate -5*c(a) - 6*w(a).\nAnswer: 5*a**2 + 11*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 782161050?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -169\/862837 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 389 divide 774499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**2\/7 + 694*o + 19448\/7 = 0?\nAnswer: -4, 4862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7935833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2787, 5649, 8509, 11367, 14223, 17077, 19929?\nAnswer: 22779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*-5*sqrt(88)*3)\/((2*-2*sqrt(88))\/(sqrt(1331) + (sqrt(1331)*-1 - sqrt(1331)))).\nAnswer: -495*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34991498433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and ((-3)\/(-18))\/((-10)\/(-300)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/5 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -56 + 28 + 0*i - i + 33 + i + 9*i. Let u(r) = 3*r + 2. Let s(t) = -2*t - 2. Let d be s(-5). What is d*u(g) - 3*q(g)?\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 equal to -45263.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from ovlvllvlollovpo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*y**2 + 1673 + 1155 - 14*y**2.\nAnswer: y**2 + 2828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 199.6 less than -134?\nAnswer: -333.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 2 - 10. Suppose -5*p = -s - 90, p + 0*p - 18 = 3*s. What is the remainder when p is divided by (4 + -6 - 3)*q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 208 + -211.8. Let o = 1 - 3. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 2\/9  (c) -3  (d) -0.4  (e) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 48, 65, 82?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 7:26 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 24, 45, 64, 81, 96?\n\"Answer: -o**2 + 24*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 668929854 divided by -4207106?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*f + 24*f + 29*f + f**2 + 10*f to a*f + d + h*f**2 and give a.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7739115 and -28?\nAnswer: -216695220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/5 + (-6)\/15. Let v be 0 + 1\/r - 73. What is the least common multiple of v\/(-4) + (-2)\/4 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -111869635*f**4 - 4*f**3 + 451198968*f wrt f.\nAnswer: -1342435620*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*(-12)\/(-63)*3\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 3:33 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 158286180 rounded to the nearest one hundred thousand?\nAnswer: 158300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 4*d = -7 - 13, -4*k - 3*d + 1 = 0. Which is the closest to -0.1?  (a) -1  (b) k  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*g + 75*g - 28 = 0. Let j be (30 - g)*(-11630000)\/32. What is j rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -4 + 0 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -71295200 to the nearest one hundred thousand.\nAnswer: -71300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26.93 + -40.9. Let c = 0.03 - z. Let n = 165.8 - 165.7. Is c greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/5 + 4686768*t\/5 + 2745724285728\/5.\nAnswer: 2*(t + 1171692)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times 121?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - 69\/(-9))*(-90)\/(-4). Suppose 92*c - t = 97*c. What is the common denominator of 33\/10 and (-12)\/(-67)*(27\/c + 3)?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -3*q**4\/8 - 11*q**3\/6 - 1074*q**2. Let n(p) = -2*p. Let m be n(2). Let g(u) = -3*u - 4. Calculate m*a(o) + 11*g(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -129477803, -129477800, -129477797?\nAnswer: -129477794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 10:23 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -401100411 (base 6) to base 15\nAnswer: -8dbc67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 195 - -290. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2*w**3 - 114*w**2 + 5359*w - 343135. What is h(60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 222183*u**4 + 79682*u**2 + 2*u wrt u?\nAnswer: 5332392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 19 = 3*q, 0 = 241320*q - 241322*q + 4*b + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qvqqpqvqpvpqq. Give prob of sequence qv.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - v + 5, -12 = -3*m + 2*v - 7*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1866851 and 28?\nAnswer: -52271828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -0.3, -684128.\nAnswer: -684128, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3548296 is divided by 318.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - r**2 - r + 3. Let h = 14182 - 14181. Determine s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*1*(4 + sqrt(208)) - 1*(sqrt(208)*3 + 5))**2.\nAnswer: 88*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18298733021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -46*o + 5068. Determine g(86).\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 175 - 334. Let z = -72 - u. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {t: 1, y: 3, j: 3, u: 3, h: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 393421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7677 is divided by 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x**(1\/3)\/x*x))\/x)\/(x*x*(x**(4\/5)*x)\/x))**(-1\/22) assuming x is positive.\nAnswer: x**(47\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 867, 1850, 2845, 3858, 4895, 5962?\nAnswer: 7065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 5*c + 14, -c + 4 = -0*c. Factor -22*g**q - 3*g**2 + 5*g**2 + 24*g**3.\nAnswer: 2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1523111.\nAnswer: 67, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/45)\/(((h\/(h**(-1\/13)\/h))\/h)\/h))**(4\/21) assuming h is positive.\nAnswer: h**(-76\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of h**7\/42 + h**6\/40 - h**5\/16 - h**4\/16 + h**3\/24 - h + 1. Let u(i) be the first derivative of y(i). What is m in u(m) = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 32. Let p be b(22). Let z(j) = 34*j**2 + 11*j - 1. Let t be z(9). Suppose -t = -p*l - 742. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000157101 to 7 decimal places.\nAnswer: -0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + 3 + -6 - (3 + 0). Let t = u - -12. Let i be 9\/(-2)*4\/t. Sort -2, i, 4 in ascending order.\nAnswer: i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8, 9, 54, 139, 276?\n\"Answer: 2*g**3 + 2*g**2 - 3*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1340, -1342, -1344, -1346, -1348?\n\"Answer: -2*v - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 55*s**2 - 51*s. Let p(n) = 9*n + 9*n + 10*n**2 + 7*n - 37*n**2. Let g(z) = 4*j(z) + 7*p(z). Find the second derivative of g(a) wrt a.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -1) + -9 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.9 in -21, -2, 0.043, 0.18, 2\/13?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + 8*k + 7. What is the tens digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10456 (base 7) to base 4.\nAnswer: -221032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -5*o**2 + 2*o - 1. Let v be j(1). Let m = -529 + -65. What is the remainder when m\/(-21) + v\/14 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -1101. What is the highest common factor of i and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*c + 18. Suppose -c*f + 3012 = f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(2\/15)*q**(2\/3)\/q*q*(q**(-1\/2))**28 assuming q is positive.\nAnswer: q**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 498 divide 1382946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(612))*4*6)**2 + 1.\nAnswer: 6912*sqrt(17) + 353089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -331044 (base 7) to base 6\nAnswer: -1124303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*b**3 + 10476*b**2 - 140*b**3 + 1429 - 9450*b**2 + 3*b**4 - 2916*b + 1406.\nAnswer: 3*(b - 35)*(b - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 10.9. Which is the closest to 2\/7?  (a) -2  (b) -1\/5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 + -8)*-2*4. Let q = f - 3. Suppose -q*p + 4*c + 19 = c, 4*p + 4*c = 28. Solve a + 0 = 5*v - 4, p*v + a + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22647 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8a6 (base 16) to base 13.\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 - 6 = -4*u. Suppose 5*f = u*f - 27. Solve 8 - 23 = -f*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/195)\/(246\/(-820))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -93001837*i**2*u - 1636234*u - 16 wrt i?\nAnswer: -186003674*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 1 + 184*t**2 - 16 + 6*t**2 - 42 + 2. Let r(o) = 7*o**2 - 2. Calculate 2*i(v) - 55*r(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.69612 millilitres in litres?\nAnswer: 0.01769612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13316 or -13317?\nAnswer: -13316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -2*j - 1858, 0 = 5*j - b - 3*b + 4663. Let y = 112 - j. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-6))\/(20\/1230). Suppose 2*q + 36 = 3*p - q, 0 = 3*p - 2*q - l. What is the greatest common divisor of p and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 4. Suppose -v = 0, 0*a + v - 3 = a. Let p be 3*(-10)\/a - 0\/5. Let k be n(p). What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 - 2*b**2 + 3*b + 1. Let t be c(-3). Let u be t*(9 + 2) + -1. Solve 0 = 5*s + 5*q - 8*q + u, 3*s = 4*q - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -34*g + 1544. What is the remainder when 2\/(0 + (-4)\/(-134)) is divided by q(45)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 720 = 4*x, x + 78 = -5*s + 243. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 236*n + 18494 - 18494 - 239*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 3*g = 565 - 534, -3*o - 4*g = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 12, -28, -0.05, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/8 - 5435\/(-20). Let j be f*((-2)\/4 + 1). Let d be 2*2\/((-4)\/(-17)). What is the greatest common factor of d and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30.5 - 22.65. Let b = 0.05 + t. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -191.5 greater than 246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1805 - 5\/(15\/9). Let q = 25325\/14 + x. Calculate the common denominator of q and -25\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 8 - 24 = -2*z, 4*z = -a - 34. Let t = a - -13. Let c(v) = 25*v**2 + v + 1. List the prime factors of c(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*w - 2. Suppose w*v = -4*y + 306, v - 8 = -3*v. What is the remainder when y is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g = -0*g - 161156 + 40932. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 1319, 5, -10 in decreasing order.\nAnswer: 1319, 5, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/9*(-9)\/2. Let h be 4\/3*(-9)\/(-6). Factor 2*k**2 - h*k**2 - k**2 - k**s.\nAnswer: -k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 321 divided by 194.\nAnswer: 321\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 25 = 19. Solve 2*v + c = 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*o - 17*o + 27*o + 2 - 2 - o + (1 - 3 + 1)*(1 - 2*o - 1) + (0 - 2 + 1)*(2*o + o + 0*o) - 2*o - 3 + 3 to the form c*o + k and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0631334 to four dps.\nAnswer: 0.0631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1086 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 5*j + 187, -3*s + 3*j - j = -496. What is the tens digit of (s\/(-10))\/(-1) - 2\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1667 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a**2 + 15*a - 21. Let l(z) = -2*z**2 + 7*z - 10. Calculate -13*l(v) + 6*s(v).\nAnswer: 2*v**2 - v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 12. Let n(w) = -7 - h - w + 5. Let r(f) = 3*f - 48. Let z be r(14). Give n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 0*j**2 - 9 - 14.\nAnswer: -j**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - i + 2 = -3*h, -4*h = 5*i - 18. Solve 0 = -h*f + 4*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 14, p: 1, b: 2}. Give prob of picking 1 p and 1 y.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -35877*z**2 + 71740*z**2 + 2*z - 35871*z**2. Let y(v) = -37*v**2. What is o(y(b))?\nAnswer: -10952*b**4 - 74*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 2:34 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 85*c**4*t - 2*c**3*t - 180*c**2*t - 7*t wrt c?\nAnswer: 2040*c*t - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 27 and -122427197272?\nAnswer: 122427197299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 157\/936 and 23\/186.\nAnswer: 29016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19554 or -19424?\nAnswer: -19424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 23*q**2 - 22*q - 36. What is the remainder when 261 is divided by z(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y**3 - 3*y - 5. Let i = -43 - -46. Let t(n) = 3*n**3 - 4*n - 6. Calculate i*t(b) - 4*q(b).\nAnswer: -3*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -12, 7*p - 5*d = 3*p + 1556. Calculate the highest common factor of 480 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**3\/3 - 8*y. Let o(b) = 2*b**2. What is j(o(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 2)*(-5 + 5 - 8*o)*(0 - 3 + 4) - 5*o + 2*o + o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -224*a - 2483. Give x(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 5*x**2 - 5*x - 22. Let w be u(8). Suppose -638 = 16*i + w. What is the tens digit of 904\/18 - i\/(-252)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 0 + 42*v + 42*v - 77*v - 7 - 2. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-14)\/(-12)*135\/(-42). Let y = m - -5\/2. Let w(n) = n**3 - 7*n**2 - 17*n - 11. Let f be w(9). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*n = -22 + 205 + 223 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*o**2 + 1\/3*o + 2\/3 - 1\/3*o**3.\nAnswer: -(o - 1)*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(1628\/(-111))\/(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/10 - 105\/2. Let y = l - -62. What is the greatest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 696 and 64264?\nAnswer: 192792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*sqrt(228)*1 + -3*((sqrt(228)*1 + sqrt(228) - sqrt(228)) + sqrt(228) - sqrt(228)))*3)\/((sqrt(588)*-1 - sqrt(588)) + -5*sqrt(588)))**2.\nAnswer: 13851\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111102 (base 5) to base 2.\nAnswer: 111100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7425463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxt when three letters picked without replacement from {x: 7, i: 2, j: 1, t: 3, r: 1}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 21*y + 5. Suppose 38 = 2*q - 2*v, 2*q - v - 41 = 2*v. Suppose -3*i + q = i. Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -615*v**5 + 17*v**2 - 2*v + 3142 wrt v?\nAnswer: -12300*v**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-2256)\/3384)\/((1\/12)\/((-1)\/2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17759.4 + 17760. Which is the closest to 0.7?  (a) u  (b) -1  (c) 8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 1 + 2)*(3 - 2*p - 3) + p + p + 0*p + (0 - 4 + 3)*(12*p - 9*p + 2*p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -270*q - 1563846 = -341*q. What are the prime factors of q?\nAnswer: 2, 3, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202 is divided by 129?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 22010 (base 5) in base 16?\nAnswer: 5e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43233258, -43233249, -43233234, -43233213, -43233186, -43233153, -43233114?\nAnswer: -43233069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 5*x**2 + 6*x + 6. Let c be f(-6). Suppose c*q - 55 = q. Solve -3*r - q = -3*m - 29, -m + 3*r = 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - 3*y**2 + 3*y + 2. Suppose 9 = 5*u - 6. Calculate the remainder when t(-4) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*o - 28*o + 93 = 3*f, 108 = 4*o + 4*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.11 and -0.22.\nAnswer: 0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -24 + 6992662?\nAnswer: 6992638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a. Let m(n) be the second derivative of 6*n**3 + 10*n + 12*n - 9*n**3. What is m(q(b))?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 16725588 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 7627*x**3 + 1. Let z be f(1). Let l = z + -61105\/8. Calculate the common denominator of (-4)\/(-6) + 322\/48 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4327189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 228*g - 47. Is v(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 158\/(-3)*((-8980)\/43104)\/((-5)\/(-36)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72381 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 165\/19 - -739\/114. What is the common denominator of r and 17\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - 1.59\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2064 - -2067. Suppose 2*n + 40 = 12. Sort -1, 5, q, n in decreasing order.\nAnswer: 5, q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-18) - (153600\/675)\/(-128)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 38 - 9 - 16 - 306*b - 1 + 57*b wrt b?\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((1*sqrt(55))\/sqrt(11) - 4*sqrt(20)\/sqrt(4) - (sqrt(5)*1*-3 - (sqrt(20)\/sqrt(4) + -5))))**2.\nAnswer: -14*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*t**3 - 9*t**3 - 2*t**3 + 0*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dmmz when four letters picked without replacement from {m: 5, d: 1, q: 1, z: 2, s: 7}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 143933 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**2. Let m(p) = -16091*p**2. Calculate i(m(a)).\nAnswer: 776760843*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -4*o**2 + 0*o + 0*o. Let z be ((-6)\/(-8))\/(2\/8). Let q(b) = b + 3 - z. Determine y(q(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 630998 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -64 + 97. Suppose 5*w = 2*w + 9. Suppose 0*s = -w*s + q. What is the lowest common multiple of 9 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**3 - 7*o**2 + 2*o - 3. Let s be d(3). Suppose s = y + 12. Let t be ((-35)\/(-3))\/(y\/54). What is the highest common factor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 2*r + 8*r)*(10*r + 112 - 112).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 + 14*r - 13. Let d be w(10). Suppose 11*o + 5 - d = 0. Let m be 0\/((-4 + o)\/(-2)). Solve 4*g + m + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36854066 and 38444.\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -2*q**4\/3 + 3*q - 237. Let d(g) be the second derivative of 5*g**3\/6 + g. Give d(n(v)).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2938\/49 greater than or equal to 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, h: 2}. Give prob of sequence rrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -145.5 + 99. Let l = -235 + 142. Let i = k - l. What is i rounded to 0 decimal places?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 3*f - 1. Let n be o(-4). Let q = 10 + n. Let k(s) = -9*s + 57. Let r be k(6). Solve q*x - 7 = 3*g, 2*g = -r*x + g + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.034 - 0.0127. What is t rounded to three dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhni when four letters picked without replacement from hzipdndhi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**2 + 18*z - 11. Calculate the remainder when f(5) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/10 + (-1030)\/25. Let z = i - -60. Suppose 40 = 4*u - 0*u. What is the remainder when z is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -67065947 and 0?\nAnswer: 67065947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 - 33 - 8 = 21*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 3*d + 6. Suppose -6*y - 72 = -12*y. Suppose 2*r - 4 = -3*s, 3*r + 2*r = -2*s - y. What is the remainder when z(s) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-12)*(-108)\/12. Suppose n*c - 4*c + 55 = 0. What is the remainder when 100 is divided by c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(-25))*a\/a**38)\/(a**(-8)*((a\/(a*a\/(a**(1\/10)\/a))*a)\/a)\/a))**27 assuming a is positive.\nAnswer: a**(-13797\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of -85*z**6\/6 - z**3\/3 - 809*z**2\/2 - 556*z - 4. What is the derivative of o(i) wrt i?\nAnswer: -1700*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-207)\/189 + (-6)\/(-9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3 = 0, 4*j + 27*u = 23*u + 264. What is the remainder when 80 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 122694*f**2*l**3*t - f**2*l**3 + 86*f**2*l**2*t + 6*f**2*t + 2*f**2 + 2*f*l**2 + 3*t wrt l?\nAnswer: 736164*f**2*t - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 22*6*(-5)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.7 + -0.3. Let x = -63.6 - -64. Which is the nearest to r?  (a) -4  (b) 0.2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1276370\/(-60))\/(2\/4 + (-4)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnvy when four letters picked without replacement from {o: 2, u: 1, h: 2, v: 1, n: 2, y: 11}?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 107237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - ((-468)\/(-66) - -2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-616)\/44 + 14 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 373.00941 + -373. Round p to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2232 is divided by 1112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66)\/(-1386)*1*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -125 - -187. Let d(m) be the third derivative of m**4\/24 + m**3\/2 + 8*m**2. Calculate the remainder when y is divided by d(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c = -5*k - 51, -589*c - 48 = -592*c - 5*k for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55551549?\nAnswer: 3, 457, 40519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 - 13. Let m(s) = -s**2 + 17*s + 2. Let v be m(9). Let x be 2\/7 + v\/(-14). Sort a, x, -4 in descending order.\nAnswer: a, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -233859*h**3 - 177511*h**2?\nAnswer: -1403154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-182) + 1944\/18096\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -3\/2, -2772.76, -3?\nAnswer: -2772.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2)\/((z*z**(-5))\/z)*z**(-1)\/(z*(z\/(z**2*z*z))\/z))**(2\/87))**(2\/49) assuming z is positive.\nAnswer: z**(20\/4263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 1 + 1)*(-2*o**4 + o**4 + 3*o**4) + 35*o**5 + 17*o**5 + 3*o**3 - 2*o - 75*o**5.\nAnswer: -25*o**5 + 3*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (19 - 11) + 69\/27\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*b - 16*b - 59 = 5*p, 5*b + p - 165 = 0. Calculate the remainder when (4\/2)\/((-4)\/(-334)) is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 24. Let a be 3\/(18\/u*(-8)\/6). Let m(p) = p**3 - p. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*p + 2930 - 2279 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -0.2, 2, 9 in descending order.\nAnswer: 9, 2, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1470745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.19 + 1.69. Let o = q - 1.8701. What is o rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 9:54 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*k + 3*k + k + (4*k + 0*k + 0*k)*(2 + 2 - 5) as p + f*k and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (7 - 9275\/14)*4\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k + 5*k + 1 + 2710844*k**2.\nAnswer: 2710844*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26260 divided by 2.\nAnswer: 13130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (1 - 3) - (7 + (-38 - -17 - 5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + 13*z - 8. Let s be w(12). Suppose -s*l - 16 = 0, 368 = 4*t - 5*l - 0*l. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8385 - 6800. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 4 = 5*j, -2*j - 13 = -3*n. Let f = 21 + -5. Suppose -5*v = b - 22, -3*b + 10 = -n*v - f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*x - 597 - 48 = -265 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 89319.08 days in hours?\nAnswer: 2143657.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d - 4. Let n(c) be the first derivative of 9*c - 1 - 9\/2*c**2. Let t(k) = k. Let o be t(-3). Determine o*n(m) - 7*a(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 484*t**2 + 6003*t - 17789. Calculate m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.307 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(1\/3) + -1. Suppose p = -h + 3*p - 3, -h + 5*p = 15. Suppose 2*q - 5*n = -n, -h*n = 0. Solve 0 = u*s - 2 - q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2084880893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-20)*4\/(-16).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -451 (base 13) to base 6\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 + 16 = -6*b - 5*p - 2 - 24, 2*b + 217*p + 2172 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 f when three letters picked without replacement from {n: 1, c: 1, f: 1, s: 1, a: 1, w: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-33277)\/4248 - 2\/8. Let l = m - 22\/531. What is the common denominator of l and 4 - 249\/18 - 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1727420 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -335*q**2 + 676*q**2 - 339*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -0*m + 3. Suppose 8 = m*j + 2. Find the first derivative of -1 + 0 - 6*c**2 + 2*c**j wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50814.83 micrometers to meters.\nAnswer: 0.05081483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 10941?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -45 - -37. Sort o, -1, 3 in ascending order.\nAnswer: o, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -0.3, -279, 31, 2, -4 in increasing order.\nAnswer: -279, -9, -4, -0.3, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -15*p**3 + 2*p**2 + 14*p - 17. Is s(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5, 17, 35, 59?\n\"Answer: 3*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 b when three letters picked without replacement from jhubuhjujujujhjuhj.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/210 + -2 + 24\/10. Solve -2\/7 + f*y**3 + 0*y**2 - 4\/7*y + 2\/7*y**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 17393*y**2. Let l(p) = -135*p**2 + 4. Give l(t(k)).\nAnswer: -40839720615*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 8:24 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -106 + 28 + 40 + 35 + 8*d. Let t(x) = -9*x + 3. Determine 6*t(m) + 7*v(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/(-3)*-9 + 4 - (-90963)\/(-12636) and -89\/498.\nAnswer: 12948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -22\/5  (b) -0.5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 90968 divided by 83?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 5:56 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014122 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17653*z**3 - 2 + z**2 - 2*z**2 - 17659*z**3 to the form g + c*z**2 + r*z**3 + p*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -2\/7  (b) 1\/3  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1215895001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 301 - 709. Let c = -407.9999711 - d. Round c to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, k: 1, l: 3, r: 4}. Give prob of picking 1 r and 1 b.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: a (base 14) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**3 - 60*y**2 + 3*y - 44. Suppose 15*q = 184 + 266. Is f(q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -87 - -3. Let s be (-12)\/20 + z\/10. Which is greater: s or -10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 + 5*a - 1. Let o be q(4). Suppose -4*n + 83 = 95. Put n, o, 4 in descending order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1640 (base 7) in base 4?\nAnswer: 22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 28 - 62 - l + 41. Let x be q(4). Let y(b) = 161 - 161 + x*b**2 - b. Give y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k - 2 = -15. Is k <= 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-3))**43)**(15\/4))**(-41) assuming q is positive.\nAnswer: q**(79335\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -33*f**3 - f**2 - 4*f - 2. Let m be n(-2). Let k = m + -1071\/4. Let q = -2 - k. Which is the third smallest value?  (a) q  (b) -5\/4  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-10))\/(3\/15). Let i be 0\/(-1) - -1*k. Suppose 125 = i*s + 3*s. Solve -q = 4*q + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 644?  (a) -5\/4  (b) 1\/7  (c) 12\/11  (d) 18\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 219 a factor of 6830172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 55 - 52. Let p be ((-72)\/(-10))\/((-15)\/(-50)). Let t be ((-1)\/(-3))\/((-4)\/p). Put u, t, 1 in decreasing order.\nAnswer: u, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 - 7*t - 10. Suppose 0 = 2*d - 3*d - 3. Let l be z(d). Let o(w) = w**3 - 2. What is o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1287916 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 21968, 21962, 21952, 21938, 21920?\n\"Answer: -2*m**2 + 21970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 6:50 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -5*u - 3. Determine o(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -403, -833, -1263, -1693?\nAnswer: -2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99284*x - 47190 = -98921*x for x.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*1)\/(-97*(-26)\/29003).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.05 + -0.45. Suppose -5*b + 1 = 16. Let z(h) = -2*h + 10. Let f be z(5). What is the closest to f in b, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (2 + -21 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 1:59 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 16643?\nAnswer: 83215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 1754 + 253 + 3*n - n**2 - n.\nAnswer: -n**2 + 2007","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123 - -121. Is (-16 - -35)\/(q\/(-118)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -13*m + 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-18*(-10)\/60)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 13) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 45121544?\nAnswer: -45121544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 673383929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 234*n + 238. Give f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from ttjjjbfj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11687 - -8237. What is d rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 54 and 300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*m - 39, 3*k + 1 - 4 = 0. Suppose -26 = -3*d + m. What is the common denominator of 39\/10 and (-5)\/12*26\/d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 + 138*r + 7. Calculate v(-7).\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.3 - -3.2. Which is the nearest to -1\/2?  (a) -1  (b) -1\/4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34695541 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13560560 (base 8) to base 2.\nAnswer: -1011101110000101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1729532015 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**3\/c))\/c**(1\/22) assuming c is positive.\nAnswer: c**(-23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 25\/5 + (3 - 0)\/(-3). Find the common denominator of q\/(-18) - 8195\/(-792) and -39\/47.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84781625?\nAnswer: 5, 678253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 28*f - 7. Let n(t) = 28*t - 6. Let q(b) = 4*i(b) - 6*n(b). Let s be q(-3). Let m = -103 + s. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 252577 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -43*u + 2. Let h be s(-2). Calculate the greatest common divisor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14\/25 and -117*7\/(-3465)*-2.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 643*c - 8347. Calculate the smallest common multiple of a(17) and 68.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-198)\/72*12\/60*60?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -2. Solve -x = -3*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 160 in -2, -0.53, -4.5?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 950 is divided by 239?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o**(-32)*o*o))\/o)**(1\/55) assuming o is positive.\nAnswer: o**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2082371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -3.7. Suppose -4 = -4*x - 2*c + 4, -c = 4. What is the second biggest value in -2\/19, x, g?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 475 and 5400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 5:46 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -84 + 115. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2. Suppose 7*h + 28 = 11*h. Suppose 5*s = -2*a + h*a - 35, 0 = -a - 3*s - 13. Let q(d) = -19*d**a - 18*d**2 + 11*d**2. Determine q(i(o)).\nAnswer: -104*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 39499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.2019 - -6321.4019. What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mks when three letters picked without replacement from mssdkmmsasa.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -177358*u**2 - 174572*u wrt u?\nAnswer: -354716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 469990268 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + a = 6. Suppose 0 = 4*n - a + 2. Let l be 1\/((-3)\/(-2) - n). Solve -2*p + 0*z = z + 10, 0 = p - l*z - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 145073.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2436063 and 63.\nAnswer: 7308189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*b**2 - 14*b**2 - 15*b**2 - b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13752325 is divided by 109?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-14190)\/60830)\/(-129))\/(2\/(-14))?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 4:31 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -60216?\nAnswer: -60222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -1335, -5, 0, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**2*j**2*y**2 + 2*i**2*j*y**2 + 19*i**2*j + 145093*i*j**3*y + i*j + 2*i*y**2 - 2*j - 23*y**2 wrt j?\nAnswer: -4*i**2*y**2 + 870558*i*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (67 - 7) + (-6030)\/99\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 49\/21 + (-1)\/3. Let d be 1\/i - (-33)\/6. Solve 2*h - j - 16 = -6*j, -3*j - d = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 5*r**2 - 6*r - 2. Let a be t(-7). Let z(i) = -109*i - 4354. Let c be z(-40). What is the greatest common divisor of c and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -194 - -233.5. Let s = 0.5 - c. Let l = s - -38.9732. Round l to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a + 16*a - 46450117 = -4*i, 5*i - 58062605 = 2*a. Suppose -26*z - 12515477 = i. What is z rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/997 or 323?\nAnswer: 2\/997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + h. Suppose 14*p + 71 - 295 = 112. Let r(o) be the third derivative of -8*o**5\/15 + o**4 + 8*o**2. What is p*m(l) - r(l)?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74 - -449\/6. Let f = -0.07 + -2.93. Suppose 2*p = -3 + 13. Which is the second biggest value?  (a) f  (b) p  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*941119.\nAnswer: 282335.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 256 - 469\/2. Let h = -5885 - -94081\/16. Let m = h - -227\/80. Calculate the common denominator of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7626*m - 9850 + 19707 - 9857 in the form j*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91265200 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2566 + 2*v**2 + 13*v**3 + 14*v**3 - 2566 + 4*v in the form p + y*v + w*v**2 + x*v**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 700 by 20.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01620497 to five dps.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 10:19 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1578 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 7*j = 60, -10 = 5*t - 8*t + 5*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (18 - 58) + 64 + -25\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58.48*-0.3.\nAnswer: -17.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*g - 2449 - 1037 = 1288 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 48*b**3\/7 + 1054*b**2\/7 - 44*b\/7 = 0.\nAnswer: -22, 0, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2786043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*i**4 - 16529*i**3 + 2561*i**2 - 11?\nAnswer: 96*i - 99174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5 = 1. Let x = -1.2 - -0.8. Put x, 2\/3, r in increasing order.\nAnswer: x, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {j: 8, n: 5, l: 1, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9529, -9533, -9537, -9541, -9545, -9549?\n\"Answer: -4*l - 9525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/14)\/((-13)\/(-13))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3*(-10)\/35*(-4515098)\/68?\nAnswer: 3, 61, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2474678?\nAnswer: 2, 41, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c = -13*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (19\/(-36) + 237\/316)\/((-20)\/(-27))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1631 + -8.5531. What is n rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -4*h**5 - 1092*h**4 + 22272*h**3 + 23360*h**2 = 0.\nAnswer: -292, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50 and 770975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllyylylyy. Give prob of sequence yy.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1144338.\nAnswer: 2, 3, 13, 17, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.058 + 31.942. Let d = 34 - v. What is the nearest to -1 in d, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(6\/5))\/g)**26)**(-39) assuming g is positive.\nAnswer: g**(-6084\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100 not equal to 1808006\/1643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 334422 and 46926.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-6 - (-40)\/8))\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24941731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**3 + 0*f**3 + 3*f**3 + (-2 - 2 + 6)*(f**3 + 2*f**2 - 2*f**2))*(-9 - 8 + 2).\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-4))\/((-3)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r**2 - 2*r + 5. Let l(p) = 4*p**2 + 2*p - 6. Suppose -v + 54 = -7*k + 8*k, -3*v + 161 = 4*k. Let h = -50 + v. Determine h*l(a) + 6*m(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*-1*sqrt(171))**2 - sqrt(171)) + (-1*sqrt(1216))**2 + -1.\nAnswer: -3*sqrt(19) + 7371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -9*y**7\/7 + 7*y**3\/3 - 13. Find the third derivative of g(w) wrt w.\nAnswer: -1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t - 4. Let x be h(6). Suppose -x*f + m = 1, 4*m - 3*m = f - 1. Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 307, 928, 2141, 4144, 7135, 11312?\nAnswer: 16873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 5:40 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 537309201 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 71, 150, 287, 500, 807, 1226, 1775?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/154493 + 309016\/2317395. Factor 8\/15 - 2\/5*b**2 + 0*b - l*b**3.\nAnswer: -2*(b - 1)*(b + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -16982*k + 2. Let w(l) = -l**2. Calculate g(w(v)).\nAnswer: 16982*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.80662kg in tonnes?\nAnswer: 0.02580662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 221 = 3*l, -73*w = -68*w + 5*l - 515. Solve -69*q - w = 515 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 504*h - 13173 + 1581 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**3 + 2*i**3 + 0*i**3)*(-81*i - i - 8*i)*(0 + 4 - 2).\nAnswer: -360*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/12  (b) 0.2  (c) 0.4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-4)\/4 + 98. Let f(m) = -2*m**3 + 13*m**2 + 10*m - 6. Let d be f(6). Let a(x) = -i*x**2 + 190*x**2 - d*x**2. Let p(b) = 11*b. Calculate p(a(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**5\/5 - 44*d**4\/5 - 314*d**3\/5 - 792*d**2\/5 - 648*d\/5.\nAnswer: -2*d*(d + 2)**2*(d + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -4*o**3 - 2144*o**2 - 2255*o - 61522. Give d(-535).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-2*3\/8). Suppose 2*d = -k - c*k + 9, -3*k - 57 = -4*d. What is the smallest common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 635503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b - 1. Let c(f) = -2*f + 1. Calculate c(y) + 3*u(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 160, 292, 412, 514, 592, 640, 652?\n\"Answer: -k**3 + 139*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44 - 49. Sort 0.2, n, 1.4, -3\/5 in descending order.\nAnswer: 1.4, 0.2, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -3*y + 3*n, 4*y + n = 4*n + 72. Let m = -6 - -12. What is the remainder when y is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 13*x**3 + 258*x**2 - 139*x + 3703. Give t(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/w**(15\/2))**(-37))**(37\/3))**24 assuming w is positive.\nAnswer: w**60236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 47889 and 397197?\nAnswer: 6752349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 - 2.06. Let l = 103\/2 + -50. Let z = 64\/35 - 10\/7. Sort z, l, a.\nAnswer: a, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 16\/5 - 2\/5*j**3 + 8\/5*j - 4\/5*j**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57 - -57. Suppose -4*s - 4*y + 10 + 26 = z, -4*s + 71 = -3*y. What is the smallest common multiple of s and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 896256666.\nAnswer: 2, 3, 49792037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8772041, -8772043, -8772045, -8772047, -8772049, -8772051?\n\"Answer: -2*x - 8772039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8729705*k**3 + 29*k**2 + 115*k + 379.\nAnswer: 52378230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2077765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -26*m + 5. Let w(h) = -128*h + 24. Give 5*w(i) - 24*z(i).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2\/7, 1\/3, -1\/5, -11.86?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xywwywnnmyomyxom. Give prob of sequence xx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 3. Suppose -6*b + 10 = -n*b. Let f be ((-231)\/385)\/(12\/(-140)). Solve 10 = -b*l, 2*s + 3 = 2*l + f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75\/15*(-57*10\/(-1900))\/((-1)\/12)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 373052779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*n + 3. Solve 0*k + 6 = -2*k + 4*x, 4*x - 7 = n*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*t + 9 - 3 = 0, 5*t = -3*u + 26. Suppose -12*z + 15*z - 179 = -u*q, 3*z + 261 = 3*q. What is the remainder when q is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22830979*c**3*k**2 - 91024718*c**2*k**2 wrt c?\nAnswer: 136985874*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1\/30)\/(48\/(-108)))\/((-5)\/(-20))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 9:31 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 117*y**2 - 2610*y - 10387. Calculate t(-4).\nAnswer: 1925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 60.287 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 129932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 443174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o + 3*o + 3*o + (-3 + 4 - 2)*(5*o + 0*o - 3*o) + 3*o - 3*o + 2*o + o - 2*o - o - 11 + 4 + 3*o + 4.\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3781*w**2 - 648000 + 228369*w + 305*w**2 + w**3 - 129*w**2 - 6*w**3 - 879969*w.\nAnswer: -5*(w + 1)*(w + 360)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 4*y**2 - 7*y + 4. Let s be r(1). Suppose 0 = -5*c + s*u + 18, 2*c + c - 4*u - 8 = 0. Solve -2*b - c = -0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -7*l**4\/12 - 3*l**3\/2 + 11*l**2\/2 + 6*l. Let y(c) = 4*c**2 + 5*c - 6. What is -6*x(p) - 11*y(p)?\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + -8. Suppose s = 33 - 9. Let t = s - d. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 9514  (b) -0.08  (c) -5\/2  (d) 1\/4  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 679876 is divided by 30900.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**6 - 15720*g**4 - 2*g**2 + 10439*g?\nAnswer: -240*g**3 - 377280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dl when two letters picked without replacement from lnlvdllnlnndl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2445620 + 58?\nAnswer: 2445678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34661 = 61*k - 50556. Calculate the remainder when k is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*r + 16 + 19 = 0. What is the least common multiple of 952 and r?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -5*z**8\/336 + z**7\/84 - 5*z**3\/6 + 3*z + 6. Let d(c) be the second derivative of q(c). Factor d(w).\nAnswer: -5*w**3*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 + l. Let z(f) = 6*f**3 - 5*f**2 + 12*f - 6. Let j(p) = -5*r(p) + z(p). Determine j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q**3 - 174*q**2 - 166*q - 880. Let z be f(88). Let j be 8 + -1*4\/(-2). Sort z, 4, j, -4.\nAnswer: -4, z, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 5. Let p be h*(3 + -2) + 6. Determine g so that 13*g - 2*g**2 - p - 5 - 5*g - 1 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 + -10 + (-37 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 163610681 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 210*n - 215*n. Solve -n*d + 16 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(4\/(-5)) - 2. Let q(t) = -11*t + 6. Let k be q(g). Let j = -6 - k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6122\/143 - 476\/11. Let u = 694\/39 + a. Let r = -17 + u. What is the closest to r in 1, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(-12)\/72*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58350.1945 rounded to the nearest 10?\nAnswer: 58350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -365556*x**3 - 20*x**2 - x - 6. Let f be p(-15). Round f to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 1 + 2*b**2 - 2 - 11*b - 8. Let h be v(7). Suppose 3*k + 6 = -5*d, -4*k + h = -3*k - 3*d. Calculate the lowest common multiple of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**5\/10 + 11*l**4\/12 + l**3\/3 + 17*l**2\/2 + l + 5. Let v be k(-5). Calculate the highest common factor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -86629\/11270 + -15\/1127. Find the common denominator of h and ((-15)\/2)\/(24\/(-22)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 69*(6\/(-3) - -3). What is the first derivative of -1 + 4 + 73*x**3 - w*x**3 wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = 2*f + 2*x, 34 = -4*f - 5*x - 106. Let l = 102 + f. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at least 948235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 841, 3375, 7605, 13537, 21177, 30531, 41605?\n\"Answer: n**3 + 842*n**2 + n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {b: 2, f: 3, s: 2, v: 1, k: 4}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/2*(-6)\/(-20)*1250\/(-300)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*v + 1513, 2*v = 8*l - 3*l + 1533. Let w be (-2)\/(-12) + l\/(-6). Suppose -w = s - 200. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, 44\/5, -1\/4, 3.7, -0.06, 3?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -267.5397 and 8.\nAnswer: -2140.3176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/2528 and -47\/7?\nAnswer: 17696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**2 + z - 8. Suppose 13 = -4*y - 11. Let w be f(y). Let s = -60 - w. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*i - 114*i = -375. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 r, and 1 j when three letters picked without replacement from {j: 7, r: 3, q: 2, a: 5, x: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1114 and -0.08.\nAnswer: 89.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 + 11*x**2 + 11*x - 8. Calculate z(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 240 - 209. Solve 6*q + 5*d + l = 3*q, q = 2*d + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 + 31 - 24)*(7 + 0 + 0)*(107*k + 78*k - 39*k).\nAnswer: 47012*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l**2 + 10*l**2 + 5*l**2)*(1 - 2 + 13)*(1 - 3 + 1) + (-l + 2 - 2)*(4 - l - 4).\nAnswer: -107*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1025, -2166, -3307, -4448, -5589, -6730?\n\"Answer: -1141*q + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8229 and 143.\nAnswer: 90519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ez when two letters picked without replacement from ddeeedzdeeuujeju?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 5*o - 21, -3*x = 2*o + 2*o - 3. Let w be 1 + (-4)\/2 + o. Let z = 1 - w. Sort z, 2, 0 in decreasing order.\nAnswer: 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.03, -1\/6, 2\/7, 2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -101101020202210 (base 3) to base 6\nAnswer: -314121503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19918415?\nAnswer: 5, 11, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-238)\/51)\/7)\/((2*7)\/(-1))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4674203 by -33.\nAnswer: -4674203\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -412583.\nAnswer: 8\/412583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372393?\nAnswer: 3, 7, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 30 + -26 + 27 + 31.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2097351, 2097366, 2097405, 2097480, 2097603, 2097786, 2098041, 2098380?\nAnswer: 2098815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (633*r - 633*r - 17*r**2)*(-1 - 2*r + 1)*(-4 - 4 + 4)*(-1 + r**2 + 1).\nAnswer: -136*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 0.84  (b) 2\/7  (c) -590  (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -265*v - 3725. Give q(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(-4)\/x)**(-8))**38*(x**(-7)*x**(3\/7)*x)\/((x\/(x**(-4)*x*x)*x)\/x*x**9*x) assuming x is positive.\nAnswer: x**(6254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 30\/1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 63588617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 38 + 70 = v, 0 = 4*v + 7*x + 189 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -120 + 161. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b + 14*b + 3*a + 36 = 0, 3*a = -5*b. Solve -4\/13*f**b + 4\/13*f + 2\/13*f**2 - 2\/13*f**4 + 0 = 0 for f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/5670 and 109\/60?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 3109092  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 7*h - 4. What is y(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 813033 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -5115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 9:40 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -261 (base 10) in base 11?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 76 - 74. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 158263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 101000011000110100110001 (base 2) in base 16?\nAnswer: a18d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9, 17, 23, 27, 29, 29?\n\"Answer: -h**2 + 11*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 3*x + 4. Let j be l(-2). Suppose j*k + 1 = -u + 6*u, 0 = u + 1. What is the remainder when (-1122)\/(-24) + k\/4 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sh when two letters picked without replacement from sshsdqssssbbsqssssh?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3165 + 1639 + 105*b**4 + 1599 wrt b?\nAnswer: 420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 6*f**2 + 14*f + 64. Suppose 0 = 32*q - 19*q + 117. Does 28 divide u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*n*o**2*p**3 - 414*n*p**3 + 2*o**2 + o*p**3 wrt o.\nAnswer: 14*n*o*p**3 + 4*o + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220 + 545 = -16*u + 61*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 77*p + 1471 + 1224. Let w(o) = o**3 - 4*o**2 + 2*o - 4. Let x be w(4). Let u = -39 + x. Is p at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 102762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 take away -503?\nAnswer: 503.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 d when three letters picked without replacement from ddwddwidduddddd.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -15. Let i be (-20)\/15 - 76\/o. Suppose -i = 3*l - 6*l. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-1)\/((-2)\/(-22)). Let k(n) = 6*n**2 - n - 6. Let o be k(-2). Calculate the highest common divisor of c and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 1. Let z be 0 + 3 + (37\/(-9) - -1). What is the closest to -0.1 in z, g, 7\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*3\/9*0\/173.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, f: 3, r: 8, u: 1, e: 2, y: 1}. Give prob of sequence eefr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/7 - (-68)\/(-42). Let r = -84 - -84.078. Let p = r + 0.022. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 0.3, 0.4, -326?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*i - 5*f - 34, -4*f = 4*i - 8. Solve 0 = -i*s + 4*c - 37, c - 15 = 2*s - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2796*v**3 + 1128*v**2 wrt v.\nAnswer: 16776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1309\/(-49) - -25)\/((-44)\/(-14))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 55*o - 42. Suppose -46 = -3*y - 2*l - 19, 4*y - 38 = -2*l. List the prime factors of z(y).\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 1487*w**3 - 1558*w**3 - 18*w**2 + 0*w**2)*(3*w**2 - w**2 - 4*w**2).\nAnswer: 142*w**5 + 36*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 5:48 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 4*z. Let u be l(-5). Suppose -u = -2*d - 9. Let t be d\/8 - (-3)\/(-36). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72 + 72.000000094. Round n to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -756*i + 196556. Determine x(260).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*r = -27 + 4252. Calculate the remainder when r is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 12, m: 2, f: 4, s: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 18*b**3 - 7*b**2 + 4*b - 40. Let f(t) = 2*t - 4 - 10*t**2 - 2 + 9*t**3 - 14 + 6*t**2. Let d(p) = 7*f(p) - 4*j(p). Differentiate d(a) wrt a.\nAnswer: -27*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**4 - 26*m**4 - 15*m**3 + 13*m**3)*(-m - 3*m - m).\nAnswer: 135*m**5 + 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.7218 times 76?\nAnswer: -3398.8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -l + 2*z, -4*l - 94*z + 18 = -92*z. Solve 4*d - 16 = l*c, -4*d = -c - 11 - 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -906468 by 12.\nAnswer: -75539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 516 divide 94667424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 6:21 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4*s + 22. Let t be z(-5). Let r(m) = -13*m - 19 - 13*m - 11*m + 23*m + m**t. List the prime factors of r(19).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-4)*231\/567 - (-2)\/(-4)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m**2 - 4 + 0*m - 3*m**2 - 3*m. Let w be f(-3). Let p(i) = -3*i - 6. Let t be p(w). What is the greatest common divisor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*m + 6. Let n(s) = 183668*s**3 + 5 - 1 - 3 + 196331*s**m. Let w be n(1). Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6160 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 4)\/(-1 - -2). Let h be w\/(-3) + 117\/27. Is h <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 978 - -b801?\nAnswer: 10579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27402 is divided by 762?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 134\/3 - 44. Let i be 304\/1596*7\/6. Let -4\/9*d**3 - 2\/3*d**4 + 2\/9 - i*d**5 + j*d + 4\/9*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 181, 367, 555, 745, 937?\n\"Answer: l**2 + 183*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 270*j + 12 + 17*j**2 - 18*j**2 - 261*j. Let t(b) = -2*b**3 - 2*b**2 + 2. Let m be t(-2). Give a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 4  (b) 10\/9  (c) 0  (d) -47  (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-2) + 3 + 3 + -5. Suppose 24 = i*p - 36. What is the remainder when 91 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 24 = 3*x, -2*x = -0*v - 5*v + 26. Suppose -v*a = -3*a. Suppose 0*f - 3*f - 8 = -4*j, a = 5*f - j + 2. Solve f*g = g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of -k**4\/2 + k**2. Let x(v) = v. Determine 5*x(f) + z(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 71, 173, 367, 683, 1151?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**3 - w**3 + 3*w**3)*(-w + 0 + 0) + w**2 - 265*w + 282*w - 10*w**2 - w**4.\nAnswer: -2*w**4 - 9*w**2 + 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -5*p + 1, 3*c - 5289 = -3*p. Suppose 11*u + c = 21*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 979, -41 in descending order.\nAnswer: 979, 2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*c - 13*c - 15*c)*((4 - 4 + 4*c**3)*(-3 + c + 3) - 17*c**4 - 2*c**4 + 5*c**4) - 2*c**5 - 2*c + 2*c.\nAnswer: 68*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 25*r + 7. Let t be y(3). Suppose 0 = l + l - t. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 25*a**2 - 39*a + 439. Does 9 divide o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3682859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24.551 + -0.051. Let m = -22 + h. Let k = 3.5 - m. What is the second smallest value in -0.2, k, 5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3*f**3 - f. Let l(m) = 75*m**3 + 18*m - 9. What is -l(u) - 18*r(u)?\nAnswer: -21*u**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -244 - -124. Suppose 0 = 4*l + 31 + 17. Let u be l\/d*(-85)\/(-2). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(4\/17)\/c*c**(-7\/8)*(c\/(c*c**8\/c))**(-9))**(5\/7) assuming c is positive.\nAnswer: c**(41725\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.647 + -2.03. Let g = -40.983 + 41. Let t = g - b. Sort -1, 8, t in decreasing order.\nAnswer: 8, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/327 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z - 4*q = -1, -25823*z + 0*q + 3*q = -25821*z + 2*q - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3491510736 a multiple of 3227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3 = 4*h, h + 19 = -5*q - 2*h. Let c(x) = 2 + 5 + 1 - 25*x. Is c(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - 13*n**2 - 12*n + 6. Let r be u(-12). Calculate the remainder when r - (-3 - (-5 - 1)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l + 48 = 0. What is the smallest common multiple of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13034 or -39103\/3?\nAnswer: -39103\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 234 - 63. Suppose 16*z = 14*z - 4*i + 90, 5*i = -4*z + q. Let c(o) = 5*o**2 - 7*o - 4. Let g be c(-5). What is the highest common factor of z and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -30*z**2. Let j(x) = x**2. Let f(m) = 4*j(m) - w(m). Let y(c) = -2*c. Give f(y(s)).\nAnswer: 136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -7, -5, 2, 229, 1 in decreasing order.\nAnswer: 229, 4, 2, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15884, 15879, 15874, 15869, 15864, 15859?\nAnswer: 15854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/28*4\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3072, -7658, -13758, -21372?\n\"Answer: -757*z**2 - 2315*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c + 4*c + 10. Solve 5*a + 6 = c*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 13*m - 37. Let v be j(8). What is the greatest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 47 - 68*y**3 + 27 + 65*y**3 + 16*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285336?\nAnswer: 2, 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1057\/245*7 - (-2)\/(-10) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 110 + 143?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-420)\/(-1056)*-4 + 3\/2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9133 is divided by 1013?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/168 and -53\/445662?\nAnswer: 1782648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025 times 68642?\nAnswer: 1716.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**4 - 2*x**4 - x**4)*(2 + 8 + 5)*(2 - 6 - 12).\nAnswer: 480*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {b: 5, p: 4, k: 6}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/393, 5\/2, 28, 5, 0?\nAnswer: -5\/393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -323180923 divided by 5.\nAnswer: -323180923\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + 2*s - 4*s)*(51*s - 10*s - 12*s).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -50 + 62. Let x be 1 - 57\/r - -4. What is the closest to 0 in -2, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61, 208, 441, 760, 1165?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -117\/2669600 and -23\/1278.\nAnswer: 24026400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t. Let c(r) = -r + 1 + 3*r - r. Let j(h) be the first derivative of -4*h**2 - 7*h - 4. Let z(u) = 28*c(u) + 4*j(u). Give -5*n(s) - 6*z(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 13\/45, -321, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.8 from -8039.1.\nAnswer: -8039.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0*k + 2 = -k, 5*b - 14 = -2*k. Let x = b + 14. What is the tens digit of -4 + 2 + x\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -90115295 times 4\nAnswer: -360461180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7d (base 14) in base 9?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 + 126*f - 609. Determine y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 + -2. Suppose 2*s + 2*g = 22, 3*s - 10 - m = -2*g. Suppose 5 = -5*t, -3*t = 5*f - t - 58. What is the remainder when f is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 u when three letters picked without replacement from eecceuuuueuu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 5\/3*n**3 + 16 - 13*n + 0*n**2. What is the first derivative of g(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h + 6. Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 3*c - 5. Determine m(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/1206909 and 25\/1609212.\nAnswer: 4827636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63 * -257.\nAnswer: 16191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 220 and 69740.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmkdmqmmmmmwdmm. What is prob of picking 1 w and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*v + 21*v + 144 = 0. Let x = v - -74. Suppose 5*y + 43 = 4*u - 14, -u - x*y + 24 = 0. Calculate the lowest common multiple of 9 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -471\/388565 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -11463285 less than 34614?\nAnswer: 11497899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 3*a + 6 = 0, 5*r - 8 = -3*a - 0. Let o = r + 23. Suppose 5*y - 2*c = 126, -3*y + 110 = 4*c + o. What is the highest common factor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of 5*y**7\/42 + 7*y**6\/30 + y**5\/10 + y - 4. Let n(r) be the first derivative of h(r). Factor n(g).\nAnswer: g**3*(g + 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-2)*j*j*j)\/(j\/(((j\/j**(-7))\/j)\/j)))**(-23)*(j*j**(-2\/11)\/j*j*j*j**(2\/15))\/(j**(-1\/2))**(-11) assuming j is positive.\nAnswer: j**(-54301\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-49)\/21*3\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h. Let f be (-1)\/(1\/4)*-1. Suppose -j + 7 = 4. Let a(z) = 8*z - 17*z + 8*z. Give f*y(x) + j*a(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/(-1092))\/((-98)\/637)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llx when three letters picked without replacement from {l: 3, e: 6, x: 1, b: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (-105)\/(-25) + -6*2\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 3. Let p = -2 - t. Let a = 1.04 - p. What is a rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 26 + 58 = 0. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49577853 and 16525951.\nAnswer: 49577853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -10 + (5 - (-2 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 73 - 68 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of m**4\/6 + 19*m**3\/6 - 27*m**2\/2 + 5*m. Let t be j(-11). Let u(d) = -t + 6 + d + 0. Let y(v) = 2*v. What is u(y(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -3*j**5 - 51*j**4 + 486*j**3 - 432*j**2 = 0.\nAnswer: -24, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2715.7183823 + 3897.71836679. Let s = a - 1182. What is s rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 12, a: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bexx when four letters picked without replacement from xxbbbbbbxexeeb.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*n*o**2 - 74*n*o - 1098626950*n - 34472*o**2 - 2*o wrt o.\nAnswer: -16*n*o - 74*n - 68944*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + o**3 + o**2 - 2*o**3 + 2*o**3 to c*o**3 + x*o + d*o**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**3 + 9730*s**2 + 19425*s - 29160.\nAnswer: 5*(s - 1)*(s + 3)*(s + 1944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -16*c - 26. What is the remainder when 178 is divided by (-52)\/(-78) - c*(-53)\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ozzvzozzo. What is prob of picking 1 v and 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5221933.\nAnswer: 5221933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6124 and -2.54035.\nAnswer: 6121.45965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -5*i - 2. Let y(k) = 10*k + 4. Calculate 5*j(h) + 3*y(h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/16 and -87\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12592 and 24.\nAnswer: 37776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**2 + 4*p - 1. Suppose 2*a - 5*a = 12. Is y(a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 328*w**2 + 3*w - 2. Is u(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 7:15 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2166*i**3*k - i**3 + 2*i**2 - i*k - 4*k - 3230 wrt i?\nAnswer: 6498*i**2*k - 3*i**2 + 4*i - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 5, 3\/59, -3, -26, 4?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 47.2 in -32, -1189, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1, 42, 119, 236, 399, 614, 887?\n\"Answer: q**3 + 11*q**2 + 3*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*y + y - y)*(3*y - 3*y - 2*y**3) - 2*y**4 + y**4 - y**4.\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 4:15 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f + 2. Let m be s(-2). Suppose -i - 3*i + m = 0. Let n be -2 + 2 + 1 - i. Put -3, -4, n in increasing order.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1877949.84 plus 1205668?\nAnswer: 3083617.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(((j\/(((j*j*j**(3\/4))\/j*j)\/j))\/j*j)\/j))*j**(-3))**(-2\/21)*(j**(-1\/7)\/j**5)\/(j*j\/(j*(j\/(j*j**(-5)))\/j*j)*j*j**2) assuming j is positive.\nAnswer: j**(-155\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, 43, 184, 467, 940, 1651, 2648, 3979?\nAnswer: 5692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2122447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 6, 0*j - 5*j - 4*w = -13. Suppose 0 = j*n - n - 40. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 - -23. Let z be 3 + 1\/((-1)\/4). Let o = 6 - z. Calculate the highest common divisor of l and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + -2 - ((-18)\/2 + 3). Suppose 2*y + 3*b + w = -0, 4*y - 2*b - 18 = 0. Solve -4*t - 9 - 6 = -3*p, -y*t + 5 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 12) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {k: 1, t: 2, o: 4, d: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6 - -4 - (1 - 0). Let s be (-7 - (i - -2)) + -1. Does s = -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586181.6 rounded to the nearest one thousand?\nAnswer: 586000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 1)*(3*s**2 - 3*s**2 - 2*s**2) + 0*s + 0*s - s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*w + 15 - 44 + 17 + 12.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/((s\/(s\/s**(-7\/3)))\/s)*s*s\/s**(1\/54) assuming s is positive.\nAnswer: s**(341\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 69 = 5*f. Solve -10 = -5*d - 2*p, 2*d - 2*p - f = -5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -82*i - 2. Let p be z(-2). Suppose 0 = -l - 35 + p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 3\/54850616?\nAnswer: 3\/54850616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 494 + -504. Let g be (-18)\/(-45) + (-1 - 206\/b). Solve k = 6*k - g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382*d = 376*d + 6. Let r(o) = 10*o**2 + 8. Let c(n) = -n**2 - 1. Determine d*r(j) + 12*c(j).\nAnswer: -2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 2*n**3\/3 - 3*n**2\/2 - n. Suppose -2*m = 5*c + 712 + 430, -2*c - 472 = -3*m. Let z = c + 227. Calculate i(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -5. Solve 0 = 5*s - 2*m + 3, 4*m + a = 2*s - m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 613\/11  (b) 0.3  (c) 0.01  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 20 + 4*15\/20. Let r(s) = 4 + 3 - 7 - c*s. Let q(m) = 2*m**2. Determine r(q(a)).\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 149*n**2*q**3*w - 4116*n**2*q**2*w + 2*n*q**3*w - 2*n*q**3 + 5*n*q**2 + 41*q**3*w - 4*q*w + 12 wrt n.\nAnswer: 298*q**3*w - 8232*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1408.032612ns in weeks?\nAnswer: 0.00000000000232809625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-6 + 4) - (-14 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48039 is divided by 12009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/11?  (a) -3  (b) -5  (c) 15544  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 42, 58, 80?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 = -81*m - 9*m - 50. Solve -m*j - 3 = 3*l + 7, 4*j + 18 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*s**4 - 2\/7*s**3 + 4\/7 + 10\/7*s + 6\/7*s**2.\nAnswer: -2*(s - 2)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 278 - 19. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -31*m**2 + m - 2. What is d(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s + 27. Let r(v) = v + 13. Let f(d) = 6*p(d) - 13*r(d). Let g be f(-10). Sort g, -4, -2 in ascending order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**3 - 195*q**2 - 1035*q - 1485.\nAnswer: -5*(q + 3)**2*(q + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 8:11 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.46208223 rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21234, -46107, -74610, -106743?\n\"Answer: -1815*q**2 - 19428*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 + -2)*20\/(-6). Let v be (-26127)\/(-6) + r\/(-20). Let q = v - 2722. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 70?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z**3 - 190*z**2 + 889*z + 6660 = 0. Calculate z.\nAnswer: -4, 9, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -20*a**2 - 48*a**2 + 22*a**2. Suppose -4*r - 2*y + 2 = 0, 3 = r + y + 2*y. Let d(i) = r*i + 7*i - 8*i. Calculate d(l(z)).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 5, 7, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-555 - -554)*16\/(-14)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 115726 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8  (b) -5  (c) -129  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 - m + 24. Does 38 divide d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-16)\/152 + 979471\/19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-70)\/22 + -3*10\/(-165). Sort -5, s, -1, 2.\nAnswer: -5, s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from {n: 3, j: 1, z: 5, q: 1, i: 2, y: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1194.92 to the nearest ten.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14049*j**3 - 302*j**2 + 8367580*j wrt j.\nAnswer: 84294*j - 604","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1300) + 0 + sqrt(1300) + 0) + 5 - 5*(sqrt(1300) + 0)*3*-5)**2.\nAnswer: 7900*sqrt(13) + 8113325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1645392 and 2.469.\nAnswer: 1645394.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 373, 836, 1315, 1810, 2321, 2848?\nAnswer: 3391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - -1) + (21 - 43).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1196750 rounded to the nearest 10000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14194, -14236, -14296, -14374?\n\"Answer: -9*g**2 - 15*g - 14170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = -21*f + 99 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2147641?\nAnswer: 2147641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37 + -3. Let x = -33.8 + f. What is the third smallest value in -3, x, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4830474 and 143?\nAnswer: 62796162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -694\/501 or 0?\nAnswer: -694\/501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*j + 962 - 9278. Suppose c - 253 = -5*o, 2*c - j = -2*c + 2*o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7715*r**3*y - 213*r*y + 2797060*y - 3 wrt r.\nAnswer: -23145*r**2*y - 213*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 486*v + 54*v**2 + 3\/2*v**3 + 0.\nAnswer: 3*v*(v + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10017301 is divided by 5008632.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 278883359.1 - 278883781.0999579. Let b = f - -422. What is b rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 147015*o. Let v(s) = 5*s**2 - 16*s. What is v(z(w))?\nAnswer: 108067051125*w**2 - 2352240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from cucvu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 15 = 3*j. Let z(i) be the second derivative of i**3\/6 + 9*i**2\/2 + 3*i. Let o be z(j). Solve -7*l - n = -2*l + 23, -9 = l - o*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 806107?\nAnswer: 806107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 182 = -3*j, 0*j = j - 4. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/5, 2\/29, 1, 0.06?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of b**7\/315 + b**6\/18 + 4*b**5\/15 + 11*b**4\/18 + 7*b**3\/9 + 92*b**2. Factor c(g).\nAnswer: 2*(g + 1)**3*(g + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -885531 divided by 15009?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of a**5\/10 + a**4\/6 - a**3\/3 + 2*a**2 + a - 68. Let b be 2\/(-9) - 80\/(-36). What is the units digit of g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**15*w*w**(1\/3)*(w*w**(-8))**(-12\/19) assuming w is positive.\nAnswer: w**(1183\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*k - 284 = -12*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -5*p. Let w be 5*5\/50*2. Let b(g) = g. Determine w*f(n) + 4*b(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + (-3)\/(9\/12). Let t = s - -9. Suppose 0*a = t*a - 2310000. What is a rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110001 (base 2) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9146.4 millilitres in litres?\nAnswer: 9.1464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s - 5*s - 32 - 14*s + 25*s.\nAnswer: s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/39 and -187\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q**2 + 46 - q**2 - 46.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -1, -4, 7\/2, 1 in decreasing order.\nAnswer: 7\/2, 1, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = z - 5*l, -2*l + 4*l - 33 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 17697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35358 = -3*y + 4*b - 981, 0 = y + 2*b - 11459. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 5*l + 1138 = 3*w, 5*w + 4*l = 5690. List the prime factors of w.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 10*y - 1. Let m be d(7). What is the greatest common factor of 1016 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**2*j\/(j\/(j**7*j)))\/(j*j**0)**(-1\/13)*(j**10*((j**(-1\/2)\/j)\/j)\/j*j)**35 assuming j is positive.\nAnswer: j**(7009\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13 and 268098.8.\nAnswer: -3485284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -628, -1347, -2066?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 126903946 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13168398 is divided by 306.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 3*h - 11 = -92, 4*s - 3*h = 103. Let z = -233 - -959. Suppose 3*y + z = 6*y. What is the greatest common divisor of s and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 - -11. Suppose -14 - l = -13*k. Let j(n) = n**2 - 7*n + 3. Let r be j(3). Which is the closest to 0?  (a) r  (b) -4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i**5 - 15*i**4 + 62*i**3 + 68*i**2 - 72*i - 32 = 0. What is i?\nAnswer: -2, -4\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from iibiibnvbbnipipbpib.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -11*z**5\/20 - 59*z**4\/12 + 22*z + 108. Let l(y) be the first derivative of p(y). What is the third derivative of l(j) wrt j?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-2 + sqrt(432)*-2*4)**2 + ((0 + sqrt(3))*6*2 - (0 + 3*sqrt(6)\/sqrt(2) + sqrt(3)))**2.\nAnswer: 384*sqrt(3) + 27846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5055 - 1085*d - 5055)*(-2*d**3 - 4*d + 4*d) to the form n*d**2 + t + x*d**3 + u*d**4 + l*d and give u.\nAnswer: 2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1580684 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10881 by -279.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -16. Let j = -0.008 + -24.992. Let r = 25.5 + j. Which is the nearest to q?  (a) r  (b) 1\/5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o + 29. Let x be l(-16). Let z(a) = a - 7. Let i be z(8). Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of c**2*v - 53*c*v + 3660*v wrt c?\nAnswer: 2*c*v - 53*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 8*o**2 + 5*o + 16. Let t be g(7). What are the prime factors of (115\/25)\/(t\/(-5))*-14?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (120\/128)\/((-3)\/4)*1988\/4473?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 33 = 4*d, 0 = -5*d + 3*u - 6*u + 43. Suppose 2*h = -5*t + 435, -t - 2*h - d = -87. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13724\/723 or -19?\nAnswer: -13724\/723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - -34. Calculate the greatest common divisor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 0 - 13. Let z be (21\/6)\/((-2)\/(-4)). Suppose -2*f - z + 31 = 0. Solve -5*x + n = -f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.1  (b) -0.6  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - 1 + 0*i + 0)*((2*i - 3*i + 4*i)*(i**2 - i**2 - 3*i**2) - 31*i**3 + 13*i**3 - 5*i**3 + (0*i + 4*i - 3*i)*(-i**2 - 4*i**2 - 4*i**2)).\nAnswer: 41*i**4 + 41*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -2\/15, 0.5, -772?\nAnswer: -772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8607 divided by 24875.\nAnswer: 8607\/24875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/(-16))\/(-3))\/((-2)\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 149298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -111 + 105. Let k(b) be the second derivative of -4*b**3\/3 + 5*b**2\/2 - b. Let n(h) = h - 1. Give q*n(u) - k(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 21\/(-70)*(-10 - 0). Sort -8, 1, p, -1, 7.\nAnswer: -8, -1, 1, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.55 - 0.38. Let k = 0.1178 + 1.8822. Sort -1\/5, k, x.\nAnswer: -1\/5, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4138*c**2 + 18*c + 2. Let b(m) = -8276*m**2 - 33*m - 4. Calculate 6*b(h) + 11*p(h).\nAnswer: -4138*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*4*(sqrt(252) + sqrt(7)) - -6*(-4*sqrt(14))\/sqrt(2)) + 4)**2 + -3.\nAnswer: 480*sqrt(7) + 25213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 212212011 (base 3) in base 9?\nAnswer: 25764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2.2312665 months?\nAnswer: 0.0185938875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*m**3 - 2991605*m**2 - 356207236*m.\nAnswer: 36*m - 5983210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**4 - 3*v**4 - v**4 + (-2*v**3 + 4*v**3 + 3*v**3)*(-2*v + 3*v + 2 - 5*v) to the form r*v**2 + n*v**3 + y*v**4 + z*v + j and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589033870.\nAnswer: 2, 5, 58903387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/8*5)\/((-15)\/(-12)). Suppose 3*p - q*z = z - 9, -2*p = -z + 11. Let h(i) = i**3 + 7*i**2 - 7*i + 6. Calculate h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1486.3 + 1486. Which is the nearest to -1\/2?  (a) -0.2  (b) 0.3  (c) g  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5838551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6430543131 take away -0.7?\nAnswer: -6430543130.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 5*q**2 - q. Let t be z(1). Is ((-60)\/(-18))\/(t\/30) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89\/2 of a year in months?\nAnswer: 534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of -5*n**6\/6 + 13*n**5\/5 + n**4\/4 - 17*n**3\/3 + 2*n**2 + 4*n + 8. What is a in t(a) = 0?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b**2 - 29*b + 50*b - 9 - 4 + 12 in the form x*b**2 + h*b + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/90 and -14\/11.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 19. Suppose 2 = w*l + 6. What is the units digit of ((-29)\/(-3) + l)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 725757.\nAnswer: 3, 241919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9290 + 18485. Suppose -2*m = 3*s - 5527, s + 5*m + t = 6*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/4)\/(14\/(-84)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 388051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 + 85 = -2*l - 3*n, 5*l + 403 = -3*n. Let r = -84 - l. What is the lowest common multiple of 4 and r*((-4)\/30 + (-264)\/45)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z. Let a(y) be the first derivative of 2*y**2 + y - 2. What is -a(b) + 5*w(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1117471 - 21?\nAnswer: -1117492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 849 + -430. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 960189.\nAnswer: 1\/960189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11024501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84835?\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4618094281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 46*d**2 - 5 + 3.\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 3*u = 0, 5*h - 2*u - 9 = -37. Let g(k) = k**3 + 3*k**2 - 6*k - 2. Let d be g(h). Let v = 8 - d. Sort -4, -1, v.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-80)\/(-48) - 4\/6. What is the second biggest value in 0.3, r, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 3*k = -k. Let o(t) = 2*t - 1. Let s be o(2). What is the second derivative of -9*q**3 - 8*q + 0*q - 5*q + k*q**s wrt q?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 6*m**2 + 4*m + 30. Let i be o(3). Suppose -2*c + 4*c - i = 0. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-622465)\/(-25)*5\/16. Let b = m + -7776. Calculate the common denominator of b and 73\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(1 + -4 + 1). Suppose 3*a + 5 = -f*b - 4*b, 0 = 3*a + 5*b + 10. Suppose 0 = a*s + 171 - 971. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*s - 8655202285 = 17189947715. What is s rounded to the nearest 1000000?\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4793, -4873, -4965, -5075, -5209, -5373?\nAnswer: -5573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/366?\nAnswer: 1\/366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 465377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80312218, 80312216, 80312214?\nAnswer: 80312212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by (39\/(-5))\/((-45)\/(-750)*-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83327222449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 128  (c) 2  (d) -0.8  (e) 93\/190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 135588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6.5, 3, -3185, -5, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -o**8\/7560 - o**7\/756 + 31*o**3\/3 - 63. Let r(w) be the third derivative of z(w). Factor r(s).\nAnswer: -2*s**3*(s + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**2 - 2*u**2 + 2*u**2 - 2 + (-3 - 2 - 3)*((0 - 2 + 4)*(-2*u + 2*u**2 + 2*u) + 4*u**2 - 5*u**2 + 0*u**2).\nAnswer: -26*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.075 - 0.425. Suppose 4*x = 4*k - 0*k - 24, 5*x - 42 = -3*k. Suppose -6*y = -9*y - k. What is the nearest to y in 3, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 111  (b) 0.18  (c) 3\/7  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g*(g**(2\/17)\/g)\/g)**(-1\/11) assuming g is positive.\nAnswer: g**(-19\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) -1  (b) 8  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o - 5. Let d = 3731 - 3670. Let q be (64\/6 + 0)*-6. Let y = d + q. Let n(k) = -k + 4. What is y*n(r) - 2*i(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -68*r - 478. Let z be i(-10). Is 202 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -91*n + 132 - 21, 4 = -2*s - 4*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -125, -3 in increasing order.\nAnswer: -125, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/5, -2, 2\/5, -3\/595?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 0*y + 3. Let a be (4\/(-10))\/(y\/(-5)). What is the lowest common multiple of 4 and (7\/4)\/(a\/(-16))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 2539.277s?\nAnswer: 2539277000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-2))\/((-18)\/264). Suppose x - 7 = -0*x + s, -4*x + 2*s = -i. What is the smallest value in x, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*x**2 - 51*x**2 - 151*x**2 - 556*x**2 - 63*x.\nAnswer: -737*x**2 - 63*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 2*b - 43. Let u(o) = 2*o**2 - 576*o - 130. Determine -3*a(l) + u(l).\nAnswer: -l**2 - 570*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 662 + -662.2. What is the closest to 5\/4 in l, -4, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 245*p**2 - 5*p + 2. What is the units digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s - 9. Give n(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (7 - (0 + 3)) - ((66 - 156) + 62)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10.051 - 1113.651. What is i rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27*i**3*p**2 + 5*i**3*p + 10*i**2 - 385*i + 4*p**2 wrt i?\nAnswer: -162*i*p**2 + 30*i*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2885*s**4 - 1036*s**2?\nAnswer: 69240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2100*j + 2104*j - 32. Suppose 2*t = 2*r - 176, -4*t = -3*r + t + 264. What is the greatest common factor of j and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c - 7*c + 725*c**2 - 330*c**2 - 394*c**2 + 0*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -1047*b + 15. Let v(a) = -350*a + 6. Calculate -4*o(d) + 11*v(d).\nAnswer: 338*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 15*q**2 + 13*q + 21. Give n(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = r + 18 - 15, -21*r - 15 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 221.503 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3*0.082\nAnswer: -0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 - (-4 + (-8)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/116)\/(98\/(-14))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -152 (base 9) to base 14.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -2197*s**7\/336 + 507*s**6\/5 - 2769*s**5\/8 - 4099*s**4\/6 - 452*s**3 - 144*s**2 + 494*s. Factor j(o).\nAnswer: -(o - 6)**2*(13*o + 4)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -235445 (base 8) to base 16.\nAnswer: -13b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-3 - 6)) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 639710717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -712, -719, -740, -781, -848, -947, -1084, -1265?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -257 + -639.\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -16968 divided by -6\nAnswer: 2828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 10*x - 17. Let g be v(7). Let o be (-126)\/(-33) + g\/22. Suppose 2*b - 3*y - 36 = -y, 5*b - 92 = o*y. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 2, e: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 200 - 196. Find the second derivative of 83*h**3 - h**2 + 75*h - 69*h**3 + c*h**2 wrt h.\nAnswer: 84*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) 5\/3  (c) -1\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(144) - (sqrt(144) - 4*sqrt(144))) + sqrt(144))\/sqrt(9))\/sqrt(8).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/2 - (-56 + 0). Let o be (l\/6)\/((-6)\/(-36)). Let c = o + -12. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 102 and 3910.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -863*q**3 + 93146*q - 45611*q - 47535*q.\nAnswer: -863*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/7?  (a) -2\/9  (b) 2  (c) -0.4  (d) 39  (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40*b**3*g - 5*b**2*g**3 - 25*b**2*g*s**2 + 51*b*g**3 - 24*b*g + 2*g**2*s**2 - 2*s**2 - 4 wrt b.\nAnswer: 240*b*g - 10*g**3 - 50*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8)*156\/(-117).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**5 + 295780*n**4 + 887324*n**3 + 295768*n**2 - 887326*n - 591548 = 0.\nAnswer: -147887, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -169936 by -172.\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -10101111011 (base 2) to base 13\nAnswer: -83c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 28605002 divided by 62\nAnswer: 461371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -1) + 6 - -4. Calculate the highest common factor of 77 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1103\/4 - 274. What is the common denominator of 89\/2 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5675\/3405)\/(10\/198)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*o**3 + 2*o**3 + 4*o**3 - 4 + 4*o**3 to t + x*o**2 + q*o**3 + k*o and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of 7\/2*n**3 - 5 + 3\/2*n**2 + 0*n. Factor z(a).\nAnswer: 3*a*(7*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c - 1241?\nAnswer: -125d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 2. Let d be 4893\/(-14) - 2\/r. Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12962 + -9226. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 62*i**4*o + 228528*i**2*o + 15664873*o - 1 with respect to i.\nAnswer: 248*i**3*o + 457056*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2020 - -2033. Let a(n) be the second derivative of -n**3\/2 - n**2\/2 - 2*n. Let s be a(-2). Solve p + 2 = s*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from rbyirobq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 52559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*(2\/1)\/6. Differentiate 9*l - 27*l**2 - 2 + 11*l + 16*l + k + 24*l**2 wrt l.\nAnswer: -6*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64436*a**2 - 89003*a wrt a?\nAnswer: -128872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*k + 18, v + 4*v - 5*k - 75 = 0. Solve -3*n - n + v = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 p when four letters picked without replacement from {p: 5, m: 14}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -137*u**2 + 265*u**2 - 134*u**2 + 6 + u**3 + u. Let w be s(7). Calculate the greatest common factor of 155 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 4134, 2, -2, 5.\nAnswer: -2, 2, 5, 9, 4134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/21, 2\/15, -0.4, 4\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.198 plus -7682.3?\nAnswer: -7682.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2512?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.726 and -12.\nAnswer: 20.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.074642629272 + -0.01\nAnswer: -0.084642629272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(405) + 1 - (sqrt(5) + 0 + 3)**2) + (sqrt(80)*6 + 2)*1.\nAnswer: -13 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 1, k: 1, p: 2, r: 10, d: 1, z: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 3*v**5 - 152*v**4 + 1621*v**3 - 3780*v**2 - 2596*v + 2960 = 0?\nAnswer: -1, 2\/3, 4, 10, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 - 5*s + 5. Let c(d) = -2*d + 2. Let p(r) = 5*c(r) - 2*k(r). Let m(n) be the third derivative of -n**5\/12 + 4*n**2. Determine p(m(x)).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -3*m**4\/5 - 153*m**3\/5 - 297*m**2\/5 - 147*m\/5 = 0?\nAnswer: -49, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -104 by -26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 + 0.4. Let z be (2\/(-10) + 8\/(-10))\/1. Let j be (2\/(-4))\/((-2)\/2). What is the second smallest value in j, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 19*h**2 - 2*h - 3. Give q(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o**3 - 12*o**2 - 15*o - 11. Is j(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -2.5, -6 in ascending order.\nAnswer: -6, -2.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**3 + 18*l - 18*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89638082?\nAnswer: 2, 44819041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and 4.8.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.037015651 rounded to five dps?\nAnswer: 0.03702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 534750 is divided by 533914.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4388062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2233386 is divided by 1173.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -11, 1.641, 20, 6?\nAnswer: 1.641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 2*m - 40 = -5*r, 4*r - 3*m = 39. Let s be (15\/(-2))\/((-1)\/4). What is the highest common divisor of s and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 + 15834757\nAnswer: 15834756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-46))\/(1164\/352474). Let n = t + -1\/2231. Find the common denominator of 109\/10 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3732 and 1555.\nAnswer: 18660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*((-3980)\/(-8))\/(-5). Suppose -v - 2*v = -r - d, -3*r = -15. Suppose 6 = 2*s - v. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - ((-4 - -6) + (0 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, p: 2, d: 2, e: 1, j: 1, u: 1}. Give prob of sequence djpd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 18593.1\nAnswer: 1859.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/120*46*-2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -128 (base 13) to base 16\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 not equal to 62648630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1114061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -221, -451, -691, -941, -1201?\n\"Answer: -5*q**2 - 215*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (69225\/(-1287))\/(-71)*(-90)\/(-25).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 364 = 2*r, r - 5*r = -4*v + 352. Let n be ((-44)\/(-3))\/(60\/v). Solve 4*l - n = -6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -44*t - 1542. Calculate j(-37).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 43 = 767. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -q + 1. Suppose 11 + 19 = q*k. Calculate the lowest common multiple of 8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*d**2 - 13*d**2 + 8*d**2 - 205 + 205.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 33.557990749 and -0.1.\nAnswer: 33.457990749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -39.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001445 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16)\/sqrt(2))\/sqrt(4) + 4 + 1*sqrt(162)*3)**2.\nAnswer: 224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7521679 is divided by 1184?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1004 times -13685?\nAnswer: -13739740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 1459*n + 11674. What is o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.2, 0.4, -4, 3, -10, 0.06?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of (130\/(-6))\/(24\/(-720))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 8, -9 in increasing order.\nAnswer: -9, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y - y - y + (2 - 3 - 2)*(3*y + 14 + 14*y - 16*y).\nAnswer: -5*y - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -108 in 2\/13, -0.5, 0, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.8 + 1. Let z = 25.7 + -26. Let p = a - z. Put p, -0.4, -7 in decreasing order.\nAnswer: -0.4, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/4900 and 67\/51622900.\nAnswer: 361360300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 617767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 121  (b) -1\/10  (c) -0.14  (d) -2\/3  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -941 in 0.2, -1\/9, 3, 21, 7, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = 3*p + 3*i, 10*p - i + 34 = 8*p. Let x be ((-28)\/10)\/(6\/p). Solve -5*g + x + 13 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3*7*2\/7\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1072516 (base 9) to base 7\nAnswer: 4631523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1111026 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 20 = -3*c, -8 = -2*c + 5*y + 20. Let d be c - (0\/(-2))\/1. Solve 4*x - 13 = -3*l + 6*x, -d*l = 5*x - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45870780.\nAnswer: 2, 3, 5, 61, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4947*z + 1638*z + 1660*z + 1622*z - 28.\nAnswer: -27*z - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/30*25*36\/63?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 9*t**2 - 10*t + 1. Let i be j(10). Let z(a) = a + 9. Let n be z(-19). Is i > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -230426 (base 9) in base 14?\nAnswer: -384a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 483 and 39543?\nAnswer: 909489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3582*a - 131333 = 90751 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 4*o + 90, -o = -3*c + 2*o + 69. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b**2. Give v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of 0*p + 0*p**3 - 1\/3*p**2 + 0*p**5 - 1\/9*p**6 + 1\/3*p**4 + 2. Factor m(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 6*c**4 - 440*c**2 + 10*c**3 - 40*c - c**4 + 420*c**2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201102120 - -1?\nAnswer: -201102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10356387 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5*(sqrt(204) + 1*sqrt(204) - sqrt(204) - sqrt(204))*-4)\/(2*(1*sqrt(588) + sqrt(588))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 19. Let x(u) = -u + 9. Determine 6*n(i) - 13*x(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (12 - (-1441)\/44 - -7)\/((-1)\/(-356)).\nAnswer: 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2491, 10211, 23093, 41149, 64391, 92831, 126481, 165353?\n\"Answer: 2*g**3 + 2569*g**2 - g - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 319075737 a multiple of 5287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 246 and 42.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31215 + -513?\nAnswer: 30402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.01, 2\/33, 5 in ascending order.\nAnswer: 0.01, 2\/33, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125686 is divided by 879.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 11001?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 4 = 14. Let n(q) = q**4 + q**3 - q**2 - 1. Let k(m) = 4*m**4 + 2*m**3 - 2*m**2 - 2. Let v(h) = z*n(h) - k(h). Factor v(a).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 0 + sqrt(117) - (sqrt(117) + 0)*6)**2 - 4*sqrt(13)*3*1*2.\nAnswer: 36*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 4:36 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2998341743 to the nearest integer?\nAnswer: 54757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69106 is divided by 11512?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3 = 0, 0 = -3*k + 4*v + v + 46. Solve c - 3*h = -5, -c - 3*h = 4 - k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 4*d**2 + 10*d + 27. Calculate r(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d - d + 0*d + (0 - 2*d + 0)*(0 + 2 + 0) - d + 2*d + 0*d + 0*d + 2*d + 0*d + d + 18 + 2*d + 0*d.\nAnswer: -d + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 1965*d + 1966*d + 3418*d**3 + 4 + 1591*d**3 to m*d + c*d**2 + i + a*d**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 8, -5*a - 3446 = -13*s + 9*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5154 - 5153.7. Which is the closest to -2?  (a) 2  (b) o  (c) 4  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18863 - -29052. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 7:14 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 895\/358*(-16)\/(-130).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 4:35 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 101 and 808.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f**3 - 20*f**2 - 6*f - 75. Determine r(11).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 23212 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 2)*(-2 + 7 - 3)*(6*i**2 + 5*i**2 + 4*i**2).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -67*j - 33. Let i be a(2). Let w = i - -263. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h + 2. Let l be c(-3). Let q be l\/2*-4 - 2. Let p(u) = -13*u + 7. Let y(r) = -3*r + 2. Let i(z) = -2*p(z) + 9*y(z). Give i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 2\/3  (b) 1  (c) -4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/189*7)\/((-1)\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4\/7  (b) 3\/5  (c) -9  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1836971789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2985*r = 2991*r + 126. Let q(x) = x**3 + 19*x**2 - 40*x + 50. Determine q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -836606*h**2 - 57635688 wrt h.\nAnswer: -1673212*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -88, -151, -216, -283?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 6*c**2 + 89*c + 105. Calculate q(-14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 146*i**4 - i**2 - i + 11 wrt i.\nAnswer: 1752*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -19987070 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, -5, -7505, 1\/15 in decreasing order.\nAnswer: 0.09, 1\/15, -5, -7505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -435643 - -435648. Factor -23\/4*r**2 + 7\/4*r**3 + d*r - 1.\nAnswer: (r - 2)*(r - 1)*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 1 - 5 - 19259*x**3 - x + 0*x. Let f = -223 - -226. Let d be q(f). Round d to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 PM and 6:20 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.496 + -5.05. Let z = 0.054 + p. Let w = 3 + -5. What is the second smallest value in 0.4, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 698020 + a - 698020.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -79 - -44. Let q = -10 - z. Let t = -25 + q. Put 3, -0.2, t in decreasing order.\nAnswer: 3, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 34*g**2 + 292*g - 12. What is w(19)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 30, 92, 204, 372, 602, 900, 1272, 1724?\n\"Answer: g**3 + 19*g**2 - 2*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.6 + 5.91. Let f = -0.41 + v. What is the second smallest value in f, 1, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4*n + 38 = 0, 8*n = j + 3*n - 39. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*u**6 - 2*u**5 - 3739*u**3 + 4449*u**2 + 18*u?\nAnswer: 240*u**3 - 120*u**2 - 22434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13 + -33?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29136425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4174 + 236a?\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -662 + 664. Determine t so that -2\/3 - 2\/3*t**3 - 2*t**c - 2*t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 267498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6798, -26992, -60640, -107736, -168274?\nAnswer: -242248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v + 7. Give i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 662 + 259*n - 662 + (-3 + 2 + 2)*(-1 + 1 + 2*n) + 4 - 22*n - 2 - 4.\nAnswer: 239*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (63\/14 + -5)\/((-2)\/296). Let z = -56 + a. Is (-50)\/18 - -3 - (-4568)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 135086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006395 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100011001110 - 100100100000001?\nAnswer: -11000000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r - 13. Let t be p(-5). Suppose 4*d + t = o + 9, -3*o = -5*d. Suppose 15 = -3*z, 4*y - 147 = d*z + 240. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212*k - 173*k = 156. Solve 6*j - 9*j = 3*r + 18, -k*r = 3*j + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14\/3*(9 + -5 + (-5485)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -488960 bigger than -488960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10106691*j**4 - 12446789*j**2 wrt j?\nAnswer: -242560584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26954277, -53908533, -80862789, -107817045, -134771301, -161725557?\nAnswer: -188679813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c + 42*c - 858 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 3*s**2\/2 - 613. Let m(d) = -3*d**2 + 7*d. Calculate r(m(v)).\nAnswer: -9*v**2 + 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/8 and 17\/2118?\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -5, 0.2, -0.26 in decreasing order.\nAnswer: 3\/5, 0.2, -0.26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*g + r - 6*r, -4*g + 3*r + 20 = 0. Is 1666\/g + (-1)\/4 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 72 - 83 = 0. Suppose -5*f - 103 = 2*d, -3*d - 77 = 3*f + 2*d. Let y = f + a. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -256, -1021, -2296, -4081, -6376?\nAnswer: -9181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 8*t - 2. Let p(u) = 1. Let l(w) = -6*p(w) + x(w). Let f be l(6). Suppose 0*c - 24 = -n - f*c, n - 23 = -3*c. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 493341\/4 - 123334. Factor -1\/4*k**4 - g*k**2 - k**3 - 1\/2*k + 0.\nAnswer: -k*(k + 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16904801*u - 26300221?\nAnswer: 16904801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3)*(0*p - 2*p + p)*(2904*p**2 - 2530*p**2 - 2877*p**2).\nAnswer: -2503*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 649 in 0.04, 1\/9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 499929986.\nAnswer: 2, 249964993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyhydddhyhd. Give prob of sequence dd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 6:18 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 167193, 334388, 501593, 668814, 836057, 1003328, 1170633?\nAnswer: 1337978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 6*a + 0*a - 13*a. Let w(q) be the second derivative of -q**4\/12 - q. Calculate k(w(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 523 - 305. Suppose 5*t = -5*r + 375 + 170, m = 2*r + 3*t. What are the prime factors of r?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 1927 + 580. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -72*o**2 + 4*o. Let m(p) = -2*p + 9. Let s be ((-18)\/(-8))\/(3\/8). Let b be m(s). Let q be y(b). What is q rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 9\/8  (b) -7093  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = 3*z - 65. Find the second derivative of q**4 - z*q - 3*q**4 + 61*q wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 152.08 - 148. Let l = 0.08 - h. Let b = 4.29 + -0.29. What is the second biggest value in l, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -84*v**2 - 14 + 3 + 22 - 4*v**3 + 6*v**4 + 21 - 8*v + 12*v**5 + 46*v**4 = 0.\nAnswer: -4, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i + 2635 = 1063. What are the prime factors of i?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-1 + -1 + (sqrt(363) - (sqrt(363) - (1 + sqrt(363)))) + -1)**2 + -3)*-2.\nAnswer: -732 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4418187g in nanograms?\nAnswer: 441818700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times 332.7905\nAnswer: -13.31162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -5.4. Let w = 0.4 + o. Let y = -4 + 8. Sort 0, y, w in increasing order.\nAnswer: 0, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13231 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 6*r + 7. Let b be -1 - 16\/(-6)*3. Let d be o(b). Let t(g) = -g - 3. Let v be t(d). Sort 2, v, -4 in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 5*i**5 + 105*i**4 - 224140*i**3 - 224640*i**2 + 896480*i + 896880 = 0.\nAnswer: -222, -2, -1, 2, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 38, 3, 2\/5?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s + 1 + 2*s + 2*s + 3 - s - 3 + (2 - 2 - 1)*(4*s - s - 5*s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -137 - -199. Suppose 360 = 4*w - 4*f, w - 4*f = k + 37. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -7\/6*i**3 + 3\/8*i**4 + 0 + 9*i**2 - 1\/60*i**5 + 0*i. What is y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 5.117  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42121?\nAnswer: 73, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 119*q + 95 with respect to q.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 45*z + 116. Let c be n(40). Let u = 318 - c. Solve 3*t - u*s + 8 = 0, -4*t - 2*s + 9 = 29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in -4, -7, -0.4, -19\/93, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 17657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65 + 107. Suppose 4*y - 18 - r = 0. What is the remainder when 43 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 39*k - 159. Calculate z(-30).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 - 2*u. Let n be g(3). Let f(r) be the first derivative of 3*r - 3\/4*r**4 + 17\/4*r**n - 15\/2*r**2 + 3. Solve f(k) = 0 for k.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r**3 - 4*r**2 - 4*r - 3. Let p = -6 + 10. Suppose -x = -p*x - 6. What is the remainder when 13 is divided by f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let p = -0.01 - 0.49. Let q = 0.33 + -2.33. What is the nearest to 1 in q, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 56820900 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*a**2 + 2*a**2 - 4*a**2)*(a**2 + 83440 - 83786 + a**2) as h*a**2 + n*a + g + x*a**3 + t*a**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -18*p - 95. What is r(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 70937, 71078, 71493, 72320, 73697, 75762?\n\"Answer: 23*i**3 - i**2 - 17*i + 70932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -11*g**2. Let d(k) = -k**3 + 4*k**2 + 6*k + 5. Let r be d(5). Let b = 11 - r. What is z(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(173\/(445129\/(-186))))\/(1\/(-2))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2030575.8 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13028383 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 106442 at least -44.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1165383277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/25 in -2\/5, -78, 0, 0.17, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -0.27, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57729*l - l**3 + 57729*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -0.3, 1\/4, 3, 456, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-21646)\/(-4))\/((-1)\/(-1))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 365834.\nAnswer: 2, 7, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - 100*x**2 - 111*x + 1023. What is s(101)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 i when three letters picked without replacement from {i: 4, f: 4, b: 1, m: 2, e: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 5*y + 181. Let q = -20224\/9 - -2242. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1015 = -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -53.55 in 5, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1209 and 6324?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 74058, 74069, 74080, 74091, 74102?\n\"Answer: 11*q + 74047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.026 and -3?\nAnswer: 21.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 3*v + 147519 + 228250, 3*b + 5*v - 281805 = 0. Round b to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5*c - 9. Suppose -2*g - 106 = 152. Let v = g + 122. Let w(b) = -2*b - 5. Calculate v*w(l) + 4*m(l).\nAnswer: -6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17.1 + 16.1. Let b = 0.3 - 8.66. Let t = -8 - b. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*o + 2 = -63*o. Which is bigger: o or 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*4 - 455\/91. Solve -3*y + 2*s + 13 = c*s, -35 = 5*y - 3*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 752439402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z**2. Let d(j) = j**2 + 1. Let m(a) = -4*a**2 - 5. Let s(g) = -10*d(g) - 2*m(g). What is q(s(c))?\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (0\/9 - (-19)\/(-1)). Solve -4*b = 4 - t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.03598 + -0.56378. What is o rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 14  (b) -1\/6  (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 10. Let a = 11 - b. Suppose -t + 25 = a*t. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*k = 6*k - 11, 2*p + k = 2. Let z = -0.368 - -0.568. Which is the closest to p?  (a) -2  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8e - -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4521, 18317, 41371, 73677, 115229, 166021, 226047, 295301?\n\"Answer: -t**3 + 4635*t**2 - 102*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jojjjjjojjj.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*b**2 + 9*b**2 + 24*b**2.\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 249791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3591, 9167, 14769, 20409, 26099, 31851, 37677?\n\"Answer: 2*l**3 + l**2 + 5559*l - 1971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 224623.5 centuries?\nAnswer: 269548200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 4. Sort -3, o, 2, 8.\nAnswer: o, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -15 - 4*q + 0*q - 647*q**2 + 4927*q**2 + q. Let a be x(-5). What is a rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 20, 36, 70, 128?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0419 and -0.0187.\nAnswer: -0.00078353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 726320?\nAnswer: 2, 5, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 344358118, 688716233, 1033074348?\nAnswer: 1377432463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -10*a**2 - 97*a - 258. What is b(-6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/19 + 256*r**2\/19 - 5150*r\/19.\nAnswer: -2*r*(r - 103)*(r - 25)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o + 50, 2*d - 6*d + 3*o = 13*o - 104 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(16\/4)\/(-8))\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*z = -2*z + 182 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 15 = -2*i, -2*i - 6*t - 654 = -716 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 7, 2\/103, 0.07?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*w + 27 = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001404 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 38420 to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206174743?\nAnswer: 131, 1117, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -195786 divided by -21754\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, s: 3, m: 2, n: 5, t: 8}. Give prob of picking 1 m, 1 u, 1 t, and 1 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -14 + 17*o - 5 - o**2 + 7. Let m be a(15). Factor 20*y**2 + 16*y**2 - m*y**3 - 27*y**2 - 27 + 18*y + 15*y**2 + 3*y**4.\nAnswer: 3*(y - 3)**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -8. Let p(b) = b**3 - 5*b**2 - 2*b + 10. Let o be p(5). Let h(c) = 0*c + i*c**2 - 1 + o*c + 3*c - 2*c. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*o - 12 = 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence muu when three letters picked without replacement from {u: 12, m: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 2  (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 52  (c) -1  (d) -5  (e) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 5*k - 5, 0 = -5*d + 3*k + 18142. Suppose 1344 = i + 4*v + 433, 4*i = -v + d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**4\/3 + 54*v**3 - 1786*v**2\/3 + 1026*v - 1456\/3 = 0?\nAnswer: -91, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 33 - 3 = 0. Does 42 divide (-3770)\/k + (-10)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 325180 is divided by 321601?\nAnswer: 3579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.57 + -33.43. Let a = -34.0000027 - o. What is a rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + k. What is the remainder when 178 is divided by p(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 - 5*l**2 - l + 9. Let q be k(5). Suppose q*y + 2*d = 0, d = 2*y - y. Suppose -2*c - r + 4*r + 253 = y, 0 = -c - 4*r + 132. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298 - 302 = 4*k, -3*k = -5*g - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 23 = 5*d, -w = -2*w + 3*d + 15. Let c = -14 - w. Put 3\/7, c, -0.2 in decreasing order.\nAnswer: 3\/7, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -53901 + 53901. Let -2*y**3 + n*y + 0 + 2\/3*y**4 + 4\/3*y**2 = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 3, -12509*p + 12507*p = 5*c - c + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -1275?\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/5, 0.04874, 1, 2.\nAnswer: 0.04874, 1, 8\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*n**2 + 2*n + 22*n**2 - 3*n**3 + n**4 + 4*n**3 to the form q*n**4 + d + s*n**3 + j*n**2 + r*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.059  (b) 2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1176)\/98*(-1 - 1\/(-2)). Let s(p) = p**3 - 7*p**2 + 9*p - 6. Let a be s(x). Solve r + 9 = a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -117*k - 3653. Determine s(-31).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6360742 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2922586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 42 = 2*i. Let f = 22 - i. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppplptplbuuluutllpu. What is prob of sequence up?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16974 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (50*(-6)\/4)\/(-2 + 1). Suppose 5*o + s = 5*h - 0*o, -2*h = -o - 35. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**2 - 14*b - 13. Let t be x(8). Suppose -2 = i + t. Sort -8, i, 3 in ascending order.\nAnswer: -8, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 699*c*q**5 + 756*c*q**4 - 9*c*q**2 - 2*c*q - 516*c wrt q?\nAnswer: 41940*c*q**2 + 18144*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -71\/4?  (a) 0.5  (b) 0.45  (c) -2\/7  (d) 45\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -7*l**3 + 17*l**2. Let r(h) = 66*h + 3. Let i be r(0). Let a(x) = -10*x**3 - 2*x**2 + 24*x**3 - 12*x**i - 4*x**2. Give 17*a(b) + 6*w(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67045.\nAnswer: 5, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9768 + -117307\/12. Calculate the common denominator of o and (-459)\/(-255)*(-4)\/(224\/(-10)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.63 - -0.55. Let g = 0.98 + 1.1. Let n = g + u. Which is greater: n or 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5625 - 10135. What is b rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3510 and 16848.\nAnswer: 84240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 3*o. Let y(x) = 7*x - 202. Let v be y(31). Suppose v*s - 30 = 5*s. Calculate h(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 501593071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1399087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 4 + o**2 - 2 + 2*o**4 + o to b + f*o**2 + i*o**3 + j*o**4 + x*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1282\/3 - 428. Sort 3, i, 0.33, 1\/5 in ascending order.\nAnswer: i, 1\/5, 0.33, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -6*r**2 - 72*r + 333. Calculate u(5).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -75240 divided by 627?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.12 times -21.86?\nAnswer: 68.2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-1 - 0) + ((-14)\/1)\/(-2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -196, 139841, -1 in descending order.\nAnswer: 139841, -1, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 115 - 166. Calculate the common denominator of 2\/2*93\/(-20) and (-3 + (-185)\/(-60))*b\/(-8).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/((-35)\/7) - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1162 and 8902082?\nAnswer: 8902082","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -461 - -463. Suppose -7*v + 2*v + 15 = 0. Let m(d) = -3 + 0 - 6*d**2 + d**v + 4 + x*d + 2*d**2. Determine m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 212 - 17. Suppose 0 = 4*o - 5*o + 17. What is the remainder when t is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1187261574.\nAnswer: 2, 3, 67, 71, 41597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q - 3. Let x be o(3). Let g(r) = -2*r**3 + 9*r**2 + 11*r + 9. Let j(k) = k**3 - 4*k**2 - 5*k - 6. Let d(t) = 4*g(t) + 9*j(t). What is d(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 1. Let b(l) = -2*l**2 - l + 26. Let q(s) = b(s) + 2*d(s). What is the remainder when 82 is divided by q(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -1 - ((-8 - 1) + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 202 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 61779, 63416, 65053, 66690, 68327, 69964?\n\"Answer: 1637*v + 60142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -96, -143?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4650707 + -0.09.\nAnswer: -4650707.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 2*m - u - 1 = 0, 3*u = 411 - 432 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f**2 + 3*f + 10. Let n(z) = 7*z**2 - 6*z - 23. What is 5*c(s) + 2*n(s)?\nAnswer: -s**2 + 3*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 = -0*c - 51*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -6. Let z(g) = g**2 + g - 20. Let v be z(0). Is v\/y - 4\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/4485536 and 21\/40.\nAnswer: 22427680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 11. What is the remainder when 19 is divided by z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 525769, 525601, 525313, 524899, 524353, 523669, 522841?\n\"Answer: -s**3 - 54*s**2 + s + 525823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/415527624 and 109\/57712170.\nAnswer: 2077638120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 17 = 4*m - 14, -11 = m - 5*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppep when four letters picked without replacement from {p: 15, e: 4}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f**2 - 25*f + 25. What is a(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 159115\/238 + -1337\/2. Let s = m + 2588\/595. Calculate the common denominator of s and -57\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t + 8 = 7*t. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -12002210?\nAnswer: -12002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/2736 and -47\/1828080.\nAnswer: 34733520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -450. Let l = -268 - w. List the prime factors of l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/286924 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + 6*(-6*(-2*sqrt(192) - sqrt(192)) + 5*(-3*sqrt(192) - sqrt(192)))*-4).\nAnswer: -20 + 1536*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 24\/9281  (b) 0.4  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5158737857.6 - -956171395.6. Let m = -4202566509.00000042 - v. Let a = m + 47. What is a rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/5, -5, -0.1, 1791481?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -65261, 4 in increasing order.\nAnswer: -65261, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**4 + 8238*b**3 + 24732*b**2 + 24738*b + 8247 = 0 for b.\nAnswer: -1, 2749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 1624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5165 + 5163 + q + 3*q**4 - 4*q**4 + 8*q**3 in the form r*q**2 + h + z*q**4 + u*q + n*q**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 6*a**2 - 7*a + 4. Let z be o(7). Is 593\/z + (-9)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 3*q + 12 = -0*h, -6 = h - 4*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 30, -0.05 in decreasing order.\nAnswer: 30, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 128*u - 1527. Let f be m(11). Solve 0 = -134*x + 135*x - f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8441156 is divided by 134?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27555 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1472 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1717 is divided by 1705.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1182*j + 800*j = 580*j + 35050 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-93)\/12 + (-9)\/(-12). Let j(t) = -t**3 - 8*t**2 - 10*t. Let c be j(q). List the prime factors of 6\/(-21) - (-153)\/c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (17 - 18 - -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3078881 (base 11) in base 9?\nAnswer: -11184013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 561877.\nAnswer: 367, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.0307223kg?\nAnswer: 30722.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, -3, -15 in descending order.\nAnswer: 4, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 419, 395, 363, 329, 299, 279, 275, 293?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 16071 divided by 1461\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(80)*6.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48*w**2 + 39*w**2 - w**3 - 20*w**2 + 4)*(3 - 3 + 1).\nAnswer: -w**3 - 29*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1288.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1284 - -13630\/9. Let w = j - 230. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2776\/(-22))\/(-2) + ((-3445)\/143 - (-94 - -70)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(200)*2)\/(sqrt(160) - (-1*sqrt(160) + sqrt(160) + sqrt(160)) - sqrt(160) - sqrt(10)))**2.\nAnswer: 8*sqrt(5)\/5 + 21\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1487*a**4 - 2*a**3 + 192*a**2 - 650833.\nAnswer: 5948*a**3 - 6*a**2 + 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 9*y**2 - 6*y - 109. Let f = -18449 + 18442. What is j(f)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248426072 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -5*r - 100, 56 = -2*r - r - 5*z. Let v be 4\/22 - 238\/r. Differentiate v*j**3 + 8 - 32*j**3 + 16 - 6 wrt j.\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -10100100011?\nAnswer: 10100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 - ((-2 - 2) + 3 + -24 + (-18 - -35)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**4 - 114*s**3 - 324*s**2 - 318*s - 105 = 0. Calculate s.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 10 + 0*c**3 - 39*c**2 + 15*c**2 + 17*c**2 - c**3 + c. Let b = -7 - 0. Let h be d(b). Solve -25 = -5*p, -h*p = -7*m + 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14742 divided by 3?\nAnswer: -4914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 147902668 to the nearest integer?\nAnswer: 12162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 + 2)*(0*v - 5*v + 6*v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -15*p + p**2 + 28*p + 30 + 2*p. Determine u(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 152 - 74 - 68 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -124 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 8*h**2 - 9*h + 1. Let n be (0 + 1)\/(3\/6). Suppose -4*d + 27 = i, n*d - i = -d + 29. Calculate the remainder when g(-7) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*l**2 + 1880*l - 220900 = 0. Calculate l.\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 252 divide 4423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x - 12 = -13*x. Suppose 3*n + 15 = 3*a, a - 2*a + 5 = n. Let w(p) = n*p + p - p - p + 2. Calculate w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 20 = -f, -10*q + 5*q - 25 = -3*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -319.0581 - -0.0581. Let h = -315.22 - z. Round h to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1))**(21\/4)*w**(2\/23)\/(w*(w*(w\/(w\/(w*w**1*w)))\/w*w)\/w*w)*(w**(-2\/3))**(-6)*w**(-4)*w**(-3)\/w assuming w is positive.\nAnswer: w**(-1303\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -3\/4*p**4 - p**3 + 0 + 0*p - 1\/4*p**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56912 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*s**3 - s + s + 4 - 4 + 2*s**3 - 2*s**3 + 6*s**3 - s**3 + 7*s**3 - 3*s**3 - 3*s**3 + (-3 + 1 + 4)*(-3*s**3 - s**3 + 5*s**3).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of 42*b**5\/5 + 41*b**4\/2 - 137*b**3\/3 - 1154. What is the third derivative of a(d) wrt d?\nAnswer: 1008*d + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -2 - -1 - (-11 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 0*r**3 + 5*r + 6*r**3)*(-225*r + 39*r**2 + 225*r) - 1 + 1 - 2*r**5.\nAnswer: 232*r**5 + 117*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-i**3 + i**3 + i**3)*(-596 + 1047 - 695) to x*i**3 + w + h*i + a*i**2 and give x.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by 29291.\nAnswer: -38\/29291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.28 - 2.08. Which is smaller: 2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-912)\/1520*(-5)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 5 + 7. Let j be 424\/14 + y\/14. Let c = j - 10. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 540 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 3*q + 6*q)*(1 + 2 - 1) + 1 - 1 - 2*q - q - 3*q + 3*q - 2*q - 11*q + 7*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 20 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2 - 3*c - 4. Let v(f) = -f - 5. Let i be v(-9). Let x be w(i). What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18750 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 39294.20361 to the nearest integer.\nAnswer: 39294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -446939.99993 - -446948. Let g = 8 - a. Round g to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3220 a factor of 413267680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 57395 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14\/60562613 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1425168 is divided by 1062.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39dc (base 16) to base 13.\nAnswer: -6985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of -1\/4*q**4 + 0*q - 1\/15*q**5 + 0 - 1\/3*q**3 - 1\/120*q**6 + 6*q**2. What is the remainder when 22 is divided by d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 7799 = -2531. What are the prime factors of b?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 7 + -51 + -8 - 33\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 3*i**2 - 3*i + 5. Let z be m(-4). Suppose -c + 6 = -z. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -11*g**2 + 1 - 1 + 10*g**2. Let j(t) be the first derivative of -t**5\/120 - t**3\/3 + 1. Let a(q) be the third derivative of j(q). Give y(a(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67 - 40. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-44)\/16)*4\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + k - 6*k)*(3 + 2 - 2)*(-3 - 1 + 6).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34055.\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1109449, -4438402, -9986649, -17754184, -27741001?\n\"Answer: m**3 - 1109653*m**2 - m + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -60 - (-15 - 29) - -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (285 - 260 - (-1 + 0)) + -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i - 240. Let u(d) = -243. Let r(q) = 2*o(q) - 3*u(q). What is the remainder when r(0) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r\/r**4))\/(r\/(r*r*r*r**(-3\/2)))*(r\/r**1*r)**(24\/7) assuming r is positive.\nAnswer: r**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1385622 is divided by 9426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 343960 and 17335584.\nAnswer: 86677920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(88) + sqrt(88))\/sqrt(8))**2*-6 + (5*sqrt(99)*-2)\/sqrt(9).\nAnswer: -264 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jsoxjjxxxsfsxxfxsf. What is prob of picking 1 o, 1 j, and 1 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of -4*x**2 + 0 + 0*x + 1\/10*x**5 + 1\/60*x**6 + 0*x**3 + 0*x**4. Find the third derivative of k(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 5. Let k(b) = -b**2 - 2*b + 6. Let l be k(-3). Suppose l*n - 10 = 2*d, d - n = 3*d + 10. What is u(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00168454524 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1389073.8 rounded to the nearest one thousand?\nAnswer: -1389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 7. Let f = 1 - u. Suppose 7*x - 4*x = f. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 + 426 = 128*s - 756 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*r + 23*r = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3 - 6 + 1 + 3*t. Let b(u) = u + 4*u - 6 + 5*u. Let a(z) = 4*z - 4. Let g be a(-3). Determine g*s(w) + 5*b(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - -17. Suppose -3*b + z = -0*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**5\/5 + 442*h**4\/5 + 6846*h**3\/5 + 836*h**2 - 30661*h\/5 + 19194\/5 = 0. Calculate h.\nAnswer: -14, -3, 1, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1879543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (3 - 1) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 17*t**2 + 13*t - 167. Give i(-16).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1036 + 1054.84. Let n = -4.86 - k. Let g = 24 + n. What is the closest to g in 2, -3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13.76 - 0.24. Let a = 2041129849.00000021 - 2041129835. Let i = k + a. What is i rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 7*x + 8. Let z be (-61)\/(-366) - (-94)\/12. Give n(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1813459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 7 = 5*i - 3*c, 0 = c - 3. Let s(a) = 3*a + 2. Let f(b) = -b + 2 - 5*b - 1 + 7*b. Give i*f(n) - s(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -d**5\/12 + 2*d**3\/3 + 5*d**2. What is the derivative of i(m) wrt m?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -4) + 2 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1) + -1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 9:04 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 9*o**2 - 6*o - 6. Let l(u) be the second derivative of 9*u**4\/4 - 17*u**3\/6 - 17*u**2\/2 - 2*u - 242. What is 6*l(i) - 17*m(i)?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 148777902 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*z**4 - 2 + z - 3*z**3 - 1 + 5*z**4 - 17*z**4 to the form o*z**3 + y + b*z**4 + q*z**2 + w*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5*g + 5. Let i be y(2). Let p(b) = -224002*b - 10. Let m be p(i). What is m rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) 3\/5  (c) -0.375  (d) 5  (e) -0.3  (f) 17  (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -3*b - 5*t - 35, 4*b = -3*t + 21. Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*b + 13*b + 7*b + (3 - 4 - 1)*(-137*b - 125*b - 72*b) as q*b + s and give q.\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*y + 2*y. Suppose -4*t - 15 = -7*t, 5 = y*x - 4*t. Suppose -x*p = -k - 240, 5*k + 122 + 44 = 3*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 64575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/223 and 74\/4683.\nAnswer: 4683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 6:27 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**16\/v)*(v**(-3\/8)\/v*v)\/v)**17)**(-29) assuming v is positive.\nAnswer: v**(60639\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -48*(-5)\/1200*75?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 3  (c) -4  (d) 2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7276\/35 - 261\/7. Let b = 170 - s. Which is smaller: b or -3\/14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2*f + 324 = f, -3*t + 266 = 5*f. Let s(p) = p - t + p - 3*p + 84. Let r be (-3)\/(-12) + 45\/12. Calculate s(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 281 + -277. Let h = -5.09 - -0.09. Which is the second smallest value?  (a) h  (b) -3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 340*n**2 - 1087*n**2 + 5497*n**2 + 3803*n**2 + 2*n + 2 + 10600*n**2.\nAnswer: 19153*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01341971 rounded to four decimal places?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - a**2 + 3*a + 65. Let r be g(0). What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30753 and 25058.\nAnswer: 676566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1155)\/(-210))\/((-4)\/8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 276953656.\nAnswer: 2, 7, 4945601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1575 + -1703.29. Let r = d + -2.71. Let s = r + 130.9658. Round s to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84143.66 days to nanoseconds.\nAnswer: 7270012224000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/40)\/(30\/(-16)). Which is the nearest to 2?  (a) -5  (b) z  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14737 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-331)\/(-33))\/(75\/(-90)) - 2*-6.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578166 times 0.006?\nAnswer: 3468.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 2:53 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 772112 and 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1)*s\/(s**(3\/7)*s*s))\/(s**(-3\/2)\/(s*s\/s**(4\/5))) assuming s is positive.\nAnswer: s**(19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-9) + (-352)\/(-693). What is the nearest to -0.1 in 1\/3, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (0 - -9 - (-121 + 122))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -7*v**5\/20 + v**4\/12 - v**2\/2 + 44*v. Suppose j + 1 = -3*j - 3*s, -j - 4*s + 3 = 0. Give y(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37 * 2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 213240 = -3*c + 19265, c + 484944 = 5*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.2996878mg?\nAnswer: 299687.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -281960 divided by 665?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 352940 (base 10) in base 6?\nAnswer: 11321552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (7 + (8 - 5)) - (84 + -67).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18386 (base 14) in base 7?\nAnswer: 343026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -7*v**2 - 3*v**2 + v**2 + 9*v + 3*v**3 - 3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -8*b**3. Let i be r(-1). Suppose -2*y + y = -1. Suppose -2*q + y = c, 0*q - 3*c + 3 = 2*q. Solve 3*m + m - i = q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 16 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*0.8\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -88764 divided by -4?\nAnswer: 22191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c**3 - c**2 - 3*c + 3. Give d(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 28 = -q, 677*q - 5*t = 678*q + 44 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g. Let c(w) be the second derivative of -827*w**4 - 10297*w. Determine c(k(r)).\nAnswer: -9924*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 328961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11896711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3316533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/1601 + 27255\/60838. Calculate the common denominator of 93\/4 and d.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/84)\/((-7)\/2 + 4 - 174\/377)?\nAnswer: -104\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -73*l**3 + l**2 - 39*l + 15. Let x be j(-5). What is the greatest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (4 - 5 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of 199*d**7\/210 + 25*d**4\/4 - 196*d**2. Find the second derivative of q(k) wrt k.\nAnswer: 2388*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1\/3, 0, 150, 2\/11 in descending order.\nAnswer: 150, 4, 1\/3, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1439, 130, 5, -4\/9 in decreasing order.\nAnswer: 130, 6, 5, -4\/9, -1439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 2 - -6) + 1 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 894106, -5, -2 in ascending order.\nAnswer: -5, -2, 3, 894106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7945 is divided by 1022.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 + 102113332221?\nAnswer: 102113332203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -58 - -58.1. What is the third biggest value in 9, -0.2, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and 38.72.\nAnswer: 39.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 2:27 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - 24 - (-4 - -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 - 203*i**2 - 9599*i - 76. What is p(-75)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/21)\/(394\/(-788)))\/(1\/(-14)*-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 35\/21*126\/(-35). Put 2, -3, 5, o in increasing order.\nAnswer: o, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of ((-9)\/(-18))\/((-2)\/(-76))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86574293?\nAnswer: 13, 6659561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7501 times 0.507?\nAnswer: 3803.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.29 - 0.67. Let z = 0.66 + i. Which is the third biggest value?  (a) z  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-919*c + 128*c - 860*c + (-2 + 0 + 4 + (-6 + 4 + 1)*(-1 - 4 + 4))*(3*c - 2*c + c))*(1 - 6 + 4) to the form v + f*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + -10 - (39 - 25)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73788 = 582*h + 968*h - 432*h for h.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2519697936 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2635007.6 rounded to the nearest 100?\nAnswer: -2635000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**3 - 23*w**3 - 5*w**3.\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**3)\/s*s**(-3\/4))\/((s\/(s\/(s\/(s*s**(-1\/4)))*s))\/s*s**7*s))**(-19\/2) assuming s is positive.\nAnswer: s**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**2 + 16*a. Let p be r(5). Suppose 10*v = p*v + 3060. Suppose v = 5*l - l. What is the highest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10106\/89265 - 24\/541. Let d = -4\/165 + z. Let i = 1 - 4. Which is the second smallest value?  (a) i  (b) d  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 745*a + 6 = 747*a, 2*a = -5*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/34 + ((-9126)\/(-153))\/3. Solve 5*g - 2*h - k = 0, -3*h - 8 = g - h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 - (-4 + 7 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68131.\nAnswer: 7, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8 = -0*w - 5*r, 2*w - 5 = 3*r. Let g = 161.9 - 154. Let p = g + -8. What is the second smallest value in w, p, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 4*w**3 - 88*w**2 - 261020*w + 27676800 = 0?\nAnswer: -288, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -9353172\nAnswer: 37412688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/35 - (-174)\/15. Let f = 187 - m. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 374.22 - 376. Let g = 1.78 + x. Do 6\/43 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15294223 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 341143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 529.5677 millennia in decades?\nAnswer: 52956.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 47190833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/5  (b) -233  (c) -1\/7  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/28)\/(((-162)\/(-12))\/9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -53*v**6\/60 + 2*v**5\/15 - 2*v**4 + v**3\/3 + 1284*v**2. Find the second derivative of z(r) wrt r.\nAnswer: -636*r + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 2*l. Let d be c(2). What is the second derivative of d*z - z**3 - 1 - 4*z + 1 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 1)*(-6*w**2 + 3*w - 3*w + (3*w - 3*w - w)*(w - 2*w + 3*w) + w**2 + 0*w**2 + 0*w**2).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*-3*2 + (sqrt(114) - (sqrt(114)*3*3 + sqrt(114))))\/((sqrt(540)*5)\/((sqrt(160) + sqrt(10))*-2)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 18 = 3*i, -2*i + 0*a + a - 17 = 0. Suppose -3*n - 8 = -9*n + 10*n. Sort i, n, -1.\nAnswer: i, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 25, -5 + 12 = 3*z + p. Solve z*x + 0*x - y + 12 = 0, -y + 4 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -7690.5?\nAnswer: -1538.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9 + 10)\/(0 - (-2)\/14). Suppose 188000 = -11*h + t*h. What is h rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/4 at most as big as 12784\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)*1)\/sqrt(12) - (sqrt(72)\/sqrt(3))\/sqrt(8))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8635, -34067, -76327, -135409, -211307?\nAnswer: -304015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2. Let y(t) = t**2 + 6*t - 6. Let b be y(-7). Let l(h) = h - b - 2 - 3. Let m(s) = 1. Let k(x) = l(x) + 6*m(x). What is w(k(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3*1\/3 - (-1)\/(-2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - 204032130?\nAnswer: -204032140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of 1\/180*k**6 + 2\/3*k**3 - 1\/6*k**4 - 1\/60*k**5 + 0*k**2 + 0*k + 1. Let w(v) be the third derivative of l(v). Factor w(g).\nAnswer: 2*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4781575177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 13 + 3. Let y(t) = t**2 + 5*t + 15. Let m be y(-3). Let k(l) = 2 - 9 + 5*l - m*l + 3*l. Determine k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from ooktoovovooovvoooko.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10950\/(-657)*2\/5*(-108)\/(-30)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (5 + -39 + 16 - 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32617536 is divided by 197682.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 67. Suppose 68 = -4*u + 2*w, w = 3*u - 8 + 60. Let x be h(u). Let a = 150 + x. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 730417.\nAnswer: 19, 37, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.38 - -0.02. Let u = -5 + 5.9. Let n = -1144 + 1143. What is the closest to n in -1, u, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 - 5*z**2 + z**2)*(-3 + 3 + 2*z)*((-2 + 6 - 3)*(3*z + 2 - 2) - 14 - 45*z + 14).\nAnswer: 168*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o\/o**(-10)*o)\/o)\/o)**(-3\/53)*o**(-21)\/(o*o\/(o\/(o*(o\/o**26*o)\/o*o))) assuming o is positive.\nAnswer: o**(17\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 7*d + 16 = 0. Let b(m) = 2*m**2 - 3. Let s be b(d). Solve 0 = -10*l + s*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-35 - 2 - 2 + 5)*(-177*o**2 - 233*o**2 - 21*o**2).\nAnswer: 14654*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 214 + -212. Let b(f) = 3*f - 7. Let i(t) = -50*t + 120. Let s(h) = j*i(h) + 35*b(h). Let u(v) = v**3 - v + 1. Calculate s(c) + 5*u(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2. What is the remainder when 45 is divided by k(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 1. Let b(d) = -4 - d + 7*d - d**f + 0 - 6*d**2. Let m be b(-7). Solve m*j - 1 = -10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-2) - (-1675)\/50. Suppose -4*h + f = 2*s - 7*s, 0 = 5*h + 4*s - 13. Are 4 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.5, -0.5, 2\/3, -15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**3\/9 + 674*t**2\/3 + 52400*t - 20318624\/9 = 0.\nAnswer: -524, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 14*g**2 - 6*g + 6. Let b(t) = -99*t**2 + 44*t - 44. Let d(a) = 3*b(a) + 22*h(a). Let u(f) = -f**2. What is d(u(x))?\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 167620 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 95*s**2 + 169*s - 169*s + (3 - 6 + 1)*(0*s**2 - 3*s**2 + 2*s**2) - 3*s**2 - s**2 + s**2 in the form o*s**2 + p + b*s and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 177 a factor of 791349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3541*l**2 + 2*l - 2*l - 103 + 113 + 3550*l**2.\nAnswer: 9*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/3 + 113891*l\/3 + 113890\/3.\nAnswer: (l + 1)*(l + 113890)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3094 = 3030. Solve -j*x + 5 = z - 14*x, 20 = 4*z + 4*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 13*f = -c + 10, 2*c - 5*f - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -4, -570, 2, -12, 95 in decreasing order.\nAnswer: 95, 2, 0, -4, -5, -12, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) -22924  (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 14*o**2 - o + 1. Let l be q(2). Suppose -2*j + z + 35 = 0, j + 3*z = -3*j + l. What is the remainder when 85 is divided by ((-4)\/j)\/((-2)\/232)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-38)\/(-4) + 0 + 103\/(-206). Suppose k + o = 10. Sort -4\/3, 2\/11, k, -4.\nAnswer: -4, -4\/3, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59 is divided by (1\/3)\/(9\/27) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -3*v - x, 2*v - 7*v - x - 5 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 115894210 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150904 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 344) + -1 + 4. Let i = -6443\/19 - z. What is the closest to -1\/4 in i, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2953090 divided by -84374?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*x + 308 = -74*x. Suppose 2*s + 230 = -3*s. Let z = s - x. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 8:17 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41055 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9739*h*p**3 + 2*h*p**2 - 14390292*h*p - h + 1062*p**3 + 6*p**2 wrt p.\nAnswer: 58434*h + 6372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47\/3 - -191\/12. Suppose 5*g + 2*y + 472 - 85 = 0, -2*g - 162 = -y. Let r = 102 + g. Which is the closest to -1?  (a) r  (b) z  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 1120639226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 447694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 159\/8  (b) 2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 152481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 3910?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -1026*t**3 - 247*t - 247. Let z(g) = 25*g**3 + g + 1. Let i(y) = -y - 1. Let k(n) = -5*i(n) + z(n). Determine -247*k(h) - 6*l(h).\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 241869911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*5*sqrt(250))\/(-3*(sqrt(125) + 4*sqrt(125))))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 9*v**2 + 3*v - 22. Let s be i(9). Which is the nearest to -2\/7?  (a) -0.2  (b) s  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25*b**3*o**2 + 10061*b**3*o + 6*b**2*o**2 + 12*b*o**2 - 15*b*o - 3 wrt b.\nAnswer: 150*o**2 + 60366*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9664611 is divided by 789.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1752593, 1752693, 1752793, 1752893, 1752993, 1753093?\n\"Answer: 100*v + 1752493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 955790958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39\/259 + -72\/259. Which is the closest to 0?  (a) 3  (b) y  (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2\/9 - 211300\/(-90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38385271 to the power of 1\/2, to the nearest integer?\nAnswer: 6196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 10*m + 5. Let b be r(10). Let v(a) = 4*a. Let c be v(1). Suppose -t = b*s - c*t - 86, 30 = 2*s + t. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a + 114. Let s be y(13). What is the greatest common factor of 50 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.23 - 2.33. Suppose l - 3 = -4. Does l = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -53, -118, -191, -272, -361?\n\"Answer: -4*m**2 - 53*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-18)\/(-22) + -1 + 224\/264. What is the nearest to b in 2\/11, 2, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 1. Let f(p) = -4*p**2 + 2*p - 4. Calculate f(j) + 3*w(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3*r + 1. Let y(j) = -j**3 - 2*j**2 + j. Let o be y(-2). Calculate the lowest common multiple of 8 and c(o).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -2\/3  (b) 5  (c) -260  (d) 0.3  (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 132.63 + -0.01.\nAnswer: 132.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -19. Let q = 0.24 - 11.24. Let f = q - -7. Which is the biggest value?  (a) -0.3  (b) f  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 14*d + 2. List the prime factors of f(8).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2838*a**3*j**2 - 2*a**2*j**3 - 8*a + j**3 + 2*j**2 - 3*j wrt a.\nAnswer: 17028*a*j**2 - 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 110891?\nAnswer: 11089.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*(25 + (-1212)\/48). Are c and -2\/15665 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 - 5*l**2 + 194*l - 1447. What is q(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (268\/(-670))\/(42\/(-1085))\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -101297 at most -101295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -122202110 (base 4) to base 9\nAnswer: -175078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, f: 2, t: 2, e: 2}. Give prob of sequence trr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 441781\/191 - 2313. Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z - 2. Let m(a) = 5*a. Let c be ((-20)\/45)\/((-20)\/90). Let i(w) = w. Let y(k) = c*m(k) - 9*i(k). Determine y(j(q)).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3497 divided by 264\nAnswer: -3497\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27 or 1068?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23489 is divided by 23121?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.24 + -0.06. Let g = -0.5 + 0. What is the smallest value in c, g, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24\/5 - 4. Let u = -168 + 1510\/9. What is the second smallest value in u, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1213010059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 134957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 233, 234, 209, 146, 33, -142, -391, -726?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**3 - 15*r**2 - 37485*r + 1287495.\nAnswer: 5*(r - 51)**2*(r + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 542 + 522 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -6*s**2 - 1. Let q be ((-2)\/8)\/(6\/(-72)). Suppose q*m - 10 = 17. Suppose 2*g - m = 5*l, l = -0*l - g + 1. What is y(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51467614 a multiple of 2306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u + a - 3, 0 = u - 269*a + 272*a - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 73193*h**2 - 369*h - 219918781 wrt h?\nAnswer: 146386*h - 369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -57845, -115682, -173509, -231320, -289109, -346870, -404597?\n\"Answer: i**3 - i**2 - 57841*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2780, -4, -166 in decreasing order.\nAnswer: 2780, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/2*(-4)\/51. Let t = -50 - -51. Which is the nearest to 0?  (a) -2\/7  (b) t  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -2776, 0.3, -0.2, -0.14, 0.4, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 118658 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2174, -4349, -6524, -8699, -10874?\n\"Answer: -2175*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-1\/2)*k**(1\/3)*k**(1\/2)*k*k**(3\/2)*k**3\/(k\/(k*k\/k**5))*(k\/k**(1\/11))\/k**(-5) assuming k is positive.\nAnswer: k**(511\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -744*b. Let g(f) = -57*f. Give -64*g(j) + 5*x(j).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -381 - 683?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00066411333 rounded to six decimal places?\nAnswer: 0.000664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/(-2)*80\/5*24\/3072*32?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13645*l - 12041*l + 62764 + 32426 = 16594 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/(-72)*42\/(-28)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182 divided by 91?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7381133 is divided by 14587?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1\/4)\/((-5)\/20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19288*b = 19311*b - 46 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-3))**3*x**(-1\/6)*x*x*x*((x**(-14)\/x)\/x)\/x*x)**36 assuming x is positive.\nAnswer: x**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 771*f + 4504. What is o(-7)?\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*j, -3*r = 2*j - 22 + 22. Let k(q) be the second derivative of -33*q + r + 216*q**2 + 1\/4*q**4 - 12*q**3. Let k(f) = 0. Calculate f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 3*u + 5*d + 25 = 0, 4*u - 4*d = 20. Suppose 4*o - 23 - 1 = u. Find the third derivative of 0*a**2 - 4*a**2 - 4*a**o - a**2 wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1003409190118 - 0.005.\nAnswer: 1003409190117.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 93*d**3*m - d**2*m*z**2 - d**2*m + 1300*d*m*z**2 + d*m - 2*m wrt d.\nAnswer: 558*d*m - 2*m*z**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8197*z**4 - 38964 + 38964 + (-2*z**3 + 2*z**3 + 2*z**3)*(-2*z - 3 + 3) + (-2 + 2 - 2*z**2)*(-4*z**2 + z**2 + z**2).\nAnswer: 8197*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 62 - 43. Let b = 25 + v. What is the third biggest value in -1\/2, b, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, b: 8, t: 3, d: 4}. What is prob of sequence tb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30074724*y**2 + 30074732*y - 8 = 0 for y.\nAnswer: 2\/7518681, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = t + c + 4, -15 = 5*t - 5*c. Let b(y) = 3 - 1 + y**2 - 3. Let r = 0 - -4. Let x(h) = 5*h**2 + 2*h - 3. Determine r*b(g) + t*x(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 450\/75 - (-3 + 0) - 6. Which is the third smallest value?  (a) -1\/6  (b) -68  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/10*-2*(-2)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -368*y + 5047 - 4132 = 15267 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -64062 - -5?\nAnswer: -64057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 394 is divided by 81?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6 - 48 = 0. Let s be (-15)\/(-4) + t\/(-24). Suppose k + q + 2*q = 13, 2*k - 26 = -s*q. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**4 - 116504*y**3 - 17988742*y**2 - 17872236*y = 0.\nAnswer: -153, -1, 0, 58406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 623\/4 + -156. Let x = 0.29 - -0.01. Sort d, x, 0 in decreasing order.\nAnswer: x, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k - 10 = 0. Let x = -4 - k. Suppose -17 = -5*f + 4*d, -4*d + 7 = -4*f + 19. Sort 2, x, f in ascending order.\nAnswer: x, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3086867 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 27929994 = 3*f - 2*k, -4*k = 2*f + 18620012. What is f rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from vzzvzv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r*r**(-1)))**(1\/56)*(r*r**(-1))**(-1\/15) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -19444297*k. Let t(o) = o**2. Calculate t(z(w)).\nAnswer: 378080685824209*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1062825665 rounded to 3 decimal places?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 2\/9, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-8) - (-391679874)\/8. Suppose -21 = -0*n - 4*n - 3*o, 5*n + 4*o - 25 = 0. Let w be 4\/n + j\/36. Round w to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 210, 894, 2050, 3684, 5802, 8410, 11514, 15120?\nAnswer: 19234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffd when three letters picked without replacement from fdfdddn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1305 - -1964. Suppose 0 = 4*j - m - 873, -3*j + 7*m + u = 2*m. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxxxrxxrxxxrxrxx. Give prob of sequence rr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + ((sqrt(70) - (sqrt(70) + sqrt(70)*-1)) + sqrt(70))*1)\/sqrt(10)*-1 - (0 + 4 + 2*sqrt(7) + -2))**2.\nAnswer: 20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5))**22 assuming a is positive.\nAnswer: a**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d42cb - -4?\nAnswer: -d42c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tfl when three letters picked without replacement from {v: 1, l: 3, n: 5, t: 1, f: 1, w: 3}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 1032*k - 39220. Give o(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-43)*k*k\/(k**(-18\/11)*k))\/(((k*((k*((k*k**24\/k)\/k)\/k)\/k)\/k)\/k*k)\/k*k\/(k\/k**(-2\/21))*k))**(-3\/2) assuming k is positive.\nAnswer: k**(7192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 44\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 145971?\nAnswer: 5\/145971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 605*c - 287*c - 319*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/((-3)\/9 - 0). Let x(u) = 15*u + 12. Let b(z) = -z - 2. Let h(p) = 6*b(p) + x(p). Let f(t) = 22*t. What is d*h(i) + 5*f(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, x: 1, f: 2, c: 1, i: 5, b: 7}. What is prob of sequence ihc?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -427 = -13*r - 479. Let w be 1\/(2\/12) - 2. Let l(u) = -u**2 + 5*u + 1. Let s be l(w). What is the nearest to 0 in s, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 41 = y. Suppose 1231 = 5*j + 2580*h - 2578*h, -4*h + 257 = j. Calculate the remainder when j is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l**5\/5 + 570694*l**4\/5 + 20355584758*l**3\/5 - 10202189802*l**2\/5 - 865136471346*l\/5 - 427473275796\/5 = 0.\nAnswer: -71337, -6, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 11, k: 5, s: 1}. Give prob of sequence ks.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.058003432 rounded to three decimal places?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -y**2 - 2*y - 12. Suppose -2*x - 10 = -3*x. Suppose 3*v + x = -2*v. Let j(g) = g + 1. Calculate v*p(r) - 6*j(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 15 = 5*p, u + 3 = p - u. Let i(c) = -45*c**2 - 64. Let f(z) = 44*z**2 + 66. Let h(m) = p*f(m) + 2*i(m). Differentiate h(v) with respect to v.\nAnswer: 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -139764 - -139781.3643. Let q = o + -6.2772. Let y = q + -11.1. What is y rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, v: 1}. Give prob of sequence wv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*h**4*z**2 + 161*h**2*z**2 - 1108*h*z**2 wrt h?\nAnswer: -36*h**2*z**2 + 322*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-13 - -16) + (-19 + (2 - -5) - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2096894732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (17 + 6 - 3*x - 27)*(-2*x**2 - 2 + 2) as b*x + z + i*x**2 + j*x**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -716 = -4*f + 564. Suppose -5*z = -5*o + 445, 3*o + 5*z + 93 - f = 0. Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-96 + 325 - 87)*(-7*b - 3*b + 2*b + 2).\nAnswer: -1136*b + 284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 443307 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8317)\/((-8 - -10) + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*t = -6*q + 122, 4*q - 103 = 5*t. Suppose -y - 3 = z, -4*z + 2 - q = -4*y. Sort -2, z, -5.\nAnswer: -5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 20*o**2 - 8*o. Let y(k) = -k**3 + 19*k**2 + 7*k. What is 6*j(l) + 7*y(l)?\nAnswer: -l**3 + 13*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12\/13?  (a) 0  (b) -0.036  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 - k - 1. Let x(p) = 92*p**2 + 12*p + 12. What is 12*c(r) + x(r)?\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4418 and 20.\nAnswer: 44180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wcc when three letters picked without replacement from xfwtxxffxttctcfftfft.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -709 - 116 = 15*u. Let v be u\/15 - (-1)\/(-3) - -72. Calculate the highest common factor of v and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*q - 20*q - 9*q + 8*q as i*q + f and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**5 - 126*n**4 + 886*n**3 + 14622*n**2 + 42172*n + 28560 = 0.\nAnswer: -68, -5, -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 2\/7, -18.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 969266 and 9614.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**8\/(z\/(z\/(z\/z**3))))\/(z*(z\/(z**(-1)\/z))\/z*z)**(2\/43)*(z*z\/(z\/(z\/(z\/(z\/z**(-2\/3))))))**(7\/4)*(z\/z**1)**(-1\/2) assuming z is positive.\nAnswer: z**(1868\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 14, 0.21736, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -118, -239, -362, -487, -614?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2123404 (base 5) to base 2\nAnswer: 1000110100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 327 = -3*z + 3*p, z = -5*p + 97. Calculate the remainder when z is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11.23 + -3.3. Let y = -0.53 + u. Let o = y - 6. Round o to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -t**6\/40 + 3*t**4\/8 + t**3 - 4*t**2 + 3*t. Factor g(c).\nAnswer: -3*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-20)\/(-4))\/(-5))\/(1\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 1 in ascending order.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/147*0 - 2\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -94343.\nAnswer: -3\/94343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -7. Which is the closest to -2?  (a) -0.1  (b) -0.3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 8:32 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*g = 30 + 144. Let k(f) = -f**2 + 5*f. Calculate k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*t + 150*t = 4*x - 12, -6*x = -3*t - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (368\/(-276))\/((-4)\/18*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -350*i + 1061. Give h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 12:03 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 5, 11, 2, -4 in descending order.\nAnswer: 11, 10, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -856, -4164, -11032, -22570, -39888, -64096?\n\"Answer: -185*t**3 - 670*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 6*y - 10. Suppose -y*f - 48 = -123. Is 10 a factor of f + (2 - (-2)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1378805620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 21*x - 1092 = 60*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - m - 2. Suppose 0*f + 3*f - c = 8, -2*c = -4*f + 8. Give i(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 61*g**4\/2 - g**3\/6 + g**2\/2 + 19*g. Let p be f(1). Suppose -v + 381 = v + 3*m, 2*m + p = 2*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 193024 and 52?\nAnswer: 193024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4674306.\nAnswer: 2, 3, 7, 13, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - (-28)\/1 - -3. Suppose -5*o + 2*a = -3*o - u, 2*a - 44 = -4*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 16) + 3 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -4*b + 16. Let o(t) = -t**3 + 5*t**2 + 9*t - 6. What is the lowest common multiple of o(6) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*x + 925 = -353 - 581 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4568871 and 8103?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -1. Let g be n\/(2\/(-36)) + -2. Let d = 2 + g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(117)*1 + sqrt(117) - (sqrt(117) + (sqrt(117) - -1*sqrt(117)))*-4)\/(((sqrt(6480) - sqrt(6480)*4) + sqrt(6480))\/sqrt(5)))**2.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78896752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101001000 - 1000000001000000?\nAnswer: -111100011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of 25*b**3\/3 - 11*b**2\/2 - 22*b - 220. List the prime factors of g(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10102 (base 5) in base 8?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 789 = 20614*y - 20351*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-80)\/(-20)*-3*1\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 97*v**5\/15 - v**4\/12 + v**3 + 7*v**2 + v - 27. Let a(n) = -5*n. What is p(a(w))?\nAnswer: 9700*w**2 + 10*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -4*t**2 - 2*t - 1. Let n be u(-1). What is the common denominator of 13\/8 and 428\/(-24) - (-2)\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 109169222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/19 - 2220*b**3\/19 - 6648*b**2\/19 - 6644*b\/19 - 2214\/19.\nAnswer: -2*(b + 1)**3*(b + 1107)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 17*p**5\/5 + p**4\/4 - 2*p**3\/3 - 12*p - 130. What is the third derivative of x(f) wrt f?\nAnswer: 408*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1048, 1748, 2450, 3154, 3860?\n\"Answer: j**2 + 697*j + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -260 or -1815\/7?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -12, 18149.\nAnswer: -12, 3, 5, 18149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -401.3 != 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 7 + 5 + 5 - (5 + -13).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d - 5*b - 2, 0*d - 2*d = 5*b + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 + -3268476?\nAnswer: -3268475.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 13) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 9:26 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(304)*-2)**2 - (5 + (sqrt(2299) - (-1 + sqrt(2299) + sqrt(2299))))**2.\nAnswer: 132*sqrt(19) + 8609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36368?\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (0 - -2 - (-1 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 73243973, 146487947, 219731921?\n\"Answer: 73243974*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 - -9)*1\/(12\/(-248)). Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 0 + 16 - (-1 + 2) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 40 = 2*r, 3*r + 43*p = 46*p + 42 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, a: 1, t: 2, z: 2, s: 2}. Give prob of sequence es.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 188617030 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 1  (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 - 4*j + j + j**2 + (-7*j - 8*j + 5*j)*(9*j + 2*j + 4*j).\nAnswer: -151*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 2*m - 42, -4*m = -5*d - 66 + 18. Let x be ((-75)\/d)\/((-1)\/16). Let u = -68 - x. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 - 19.4. Let n = 1.5 - a. Let m = -4.9 + n. What is the nearest to 2\/7 in 0.3, m, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-365)\/(-146) + (-735)\/(-6). What is the greatest common factor of 75 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -54 + 55. Let y = -16 + 82\/5. What is the smallest value in c, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zudm when four letters picked without replacement from mzmmdudmzmmmmjmujmu?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -1185834?\nAnswer: 1\/592917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*30\/(-3)*(-32)\/60?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8705 - -19116. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-18)*45\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30323 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1199 - 1198. Put -2\/13, 25, x in descending order.\nAnswer: 25, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3901 is divided by 72?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -g + 5*v + 10079, -3*g - 3*v = -30246. Suppose 7*d = 17268 + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/3))**44\/(g**(-5\/2)\/(g\/g**(2\/5))) assuming g is positive.\nAnswer: g**(-347\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -1 + 12 + -1 + 74 + (81 - 140).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2441576 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -87*z - 21*z**2 + 37*z**2 + 158*z + 183*z to the form f*z + p*z**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18621*j + 18601*j + 480 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.32064 + -0.16564. What is the third biggest value in 3, 34, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**2 + 1168*l + 19278 = 0. What is l?\nAnswer: -567, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v - 27*v = -44. Solve 8 = -4*w + v*x, 2*w - 4*x = -3*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/(-6) - (-4)\/6. Suppose 5*u - p = 32. Suppose -3*z = -5*q - 74, -2*q = -z + u + 19. What is the lowest common multiple of z and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r**2 + r - 4. List the prime factors of d(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/2 + 0 + -4. Let u(b) = -2*b. Let m(f) = -5*f - 4. Let h(s) = m(s) - 2*u(s). Let q be h(-4). What is the nearest to q in t, 7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4370?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 15*a + 160. Give o(0).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 262608.\nAnswer: 525216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8.283732g?\nAnswer: 8283732000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 396 - 251. Differentiate 7 + o*l**4 - 78*l**4 + 30 wrt l.\nAnswer: 268*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7425704?\nAnswer: 2, 11, 13, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 1728*r**4 + 11*r**3 + 11*r + 155. Let f(a) = 862*a**4 + 6*a**3 + 6*a + 77. Let q(j) = 11*f(j) - 6*v(j). Differentiate q(s) wrt s.\nAnswer: -3544*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 464158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*r**3 + 76*r**3 + 46*r**3 + 9*r**3.\nAnswer: 71*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b - 21. Is a(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 431840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(-2)*(-90)\/(-21). Suppose 16*n - 31 = c*n. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -o**2 - 5*o - 6. What is m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2608716.\nAnswer: 2, 3, 11, 19763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -31700 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8086330?\nAnswer: 2, 5, 7, 331, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 368224057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 8 + 28 = 0. Let f(x) = x**3 + 10*x**2 - x - 4. Let a be f(s). Solve a*z - 3*z = -4*m + 5, -z = -2*m - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**3 - 14*u**2 - 4*u**3 + 3*u - 4*u + 6*u**3 as c + o*u + i*u**3 + f*u**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89149*q - 3 - 89145*q + 3.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 13*v + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.00107 + 158.\nAnswer: 157.99893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0013 and -2?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**4 - d**3 - d**2 - 1. Let q(g) = 627*g**5 - 10*g**4 - 5*g**3 + 133*g**2 - 5. Let r(a) = 5*b(a) - q(a). Find the third derivative of r(m) wrt m.\nAnswer: -37620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.022228+7149\nAnswer: 7148.977772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**7\/p*p**8\/p*(((p**(-2)\/p*p)\/p)\/p)**37*p*p**(3\/2)*p**(-4\/7)\/p*p**(-2)*p*p**(-6)*p assuming p is positive.\nAnswer: p**(-1961\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*i**4 + i**4 - 2*i**4)*(-2 + 0 + 1) + 2*i**4 - i**3 + i**3 + 1 - 1 + 2*i**4)*(-65 + 32 + 29) as x*i + m*i**4 + q*i**3 + z*i**2 + w and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -28788, -29444, -30544, -32094, -34100, -36568, -39504, -42914?\n\"Answer: -n**3 - 216*n**2 - n - 28570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4920, -4946, -4986, -5046, -5132, -5250?\nAnswer: -5406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 8*y**2 + y - 1. Let k = -69 - -70. What is the tens digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (7 - 7) + (-34 - -23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 66\/23 + -511\/138. Let k = 3 - 3.4. Let r = 5.3 - 5. What is the nearest to 1\/4 in w, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/120*20*(150\/80)\/(-15)*-2?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(6\/7)\/(b*b**0))\/((((b*b\/b**6)\/b)\/b)\/b**1) assuming b is positive.\nAnswer: b**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -y**3\/3 - 4*y**2 + 2*y + 5. Let f be b(-4). Let a = 35 - f. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 44*z**2 - 1706*z + 366356. Let g(d) = 37*d**2 - 1707*d + 366358. Let b(s) = 6*g(s) - 5*p(s). Suppose b(l) = 0. Calculate l.\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7793025162352 - 6.\nAnswer: 7793025162346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5639614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -7) + 13 + -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uiuuuuuuuuuuu. What is prob of sequence uiuu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -367 (base 8) in base 3?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4548548.\nAnswer: 2, 1137137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 8*u + 9. Let s be q(-7). What is the second derivative of 2*j**2 + 5*j - 7*j - 4*j**s wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 PM and 1:35 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (32\/168*-7)\/((-1)\/((-171)\/(-12)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 180699, 361366, 542001, 722604?\nAnswer: 903175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/(-16))\/((-210)\/(-1440)). What is the third biggest value in 3\/4, b, -0.48?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -13*d - 12. Let r be k(11). Let z = r + 2016\/13. Suppose -10*j - 53 = -43. Which is bigger: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 - 8 + 11 = c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - (-5)\/((-10)\/(-6)). Suppose 2*y = 2*u - 4, 0 = 6*y - 2*y - 2*u + 6. Let z be (36*y)\/((-4)\/6). Calculate the highest common factor of w and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3306, -6046, -8786, -11526?\nAnswer: -14266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of f**9\/362880 - f**8\/40320 + f**7\/10080 - f**6\/4320 + f**5\/20 + f**2. Let n(b) be the third derivative of x(b). Factor n(o).\nAnswer: (o - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*j**2 + (2*j**2 - j + j)*(8 - 10 - 13).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3665 (base 7) to base 9.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001586729581 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -31264152 (base 7) in base 11?\nAnswer: -1541870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 878538?\nAnswer: 2, 3, 146423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3109, 3108, 3109, 3142, 3237, 3424, 3733, 4194?\nAnswer: 4837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 5*w + 2 - 2*w**2 - 2*w + 1. Let t(s) be the first derivative of -s**3\/3 + s**2 + 2*s - 167. Suppose 0*d - 10 = d. Determine d*t(j) + 6*b(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.3357251 - -23.8.\nAnswer: 25.1357251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2 = -0*f. Let d = -12 - -12. Which is the closest to f?  (a) d  (b) -0.3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -742.64+2\nAnswer: -740.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from {c: 3, i: 12, w: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1108 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -43932699304 and -6.\nAnswer: -43932699310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7112 - -426?\nAnswer: 7538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 594188683 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*2*(3 - 2). Let b be (-3)\/6 + (-5)\/y. Suppose 4*r + 48 = 5*z + 3*r, -b*z = -5*r - 10. Solve 3*g + z = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2493)\/1662*686\/21?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**2\/2 - 2*f - 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do -2\/4637 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11686.76 + 0.\nAnswer: -11686.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-18) + (-2)\/24)\/((-1305)\/(-1044)). What is the fourth smallest value in -6, -1, b, 8.6?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 19*c - 1490. Let q be f(78). Are q and -54 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {x: 5, v: 4, y: 10}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 3. Let f = 601 + -7811\/13. Which is the smallest value?  (a) f  (b) 1\/5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 20, 53, 104, 179, 284, 425?\n\"Answer: p**3 + 3*p**2 + 17*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/36)\/(68\/816).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 5*r, 0 = 4*m + r - 18 + 13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.8057 + 0.0843. Let j = k - -0.11. What is the third biggest value in j, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 11 = -4*d, 3*z + 4*d = -14 - 1. Let j be (-8)\/(-8) - 2*z*1. Suppose -j*x = 4*x - 21. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1.1056, 5, 0.04 in decreasing order.\nAnswer: 5, 1, 0.04, -1.1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cnccnccn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/3, 628729, 0.4 in increasing order.\nAnswer: -5\/3, 0.4, 628729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -n**4\/4 + 4*n**3\/3 - n**2\/2 + n - 10. Let i be 15*(140\/50 - (-2)\/(-1)). Let v be ((-8)\/24)\/((-1)\/i). Give w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h**4*i + 2*h**4 + 17531*h**3*i + h**3 + 2*h**2*i + 4*h**2 - 15673*i wrt h?\nAnswer: 72*h*i + 48*h + 105186*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 2, 508, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -37*o**2 + 8*o - 3. Let j(a) = 6*a**2 - a + 1. What is -c(n) - 5*j(n)?\nAnswer: 7*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.8494928 and -0.3?\nAnswer: 0.55484784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18.46 - 1924.54. Let o = 1947.446 + t. What is o rounded to one dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 3:24 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 42 + 6. Suppose 4*o + r = h, -2*h - 4 = -o - 15. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*d = -21*d - 3586. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 370006397.\nAnswer: 370006401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 82.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -398, -802, -1230, -1694, -2206, -2778, -3422?\nAnswer: -4150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*m**4 - 11*m**3 + 2*m**2 - 47068*m?\nAnswer: -108*m**2 - 66*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296*n = -268*n - 958 + 286 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 1, 145, 2467 in descending order.\nAnswer: 2467, 145, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8102 + -0.1?\nAnswer: 8101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(18) - sqrt(72)\/sqrt(4)) + sqrt(18))*-3)\/((sqrt(9) + sqrt(324) + sqrt(9))*6).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (9 + 5 + -10) - (5 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n + 3*n + 5*n)*(0 + n + 0) + 4*n**2 - 4*n**2 - 2*n**2 + 28 - 28 - 493*n**2 - 222*n**2 in the form y*n + i*n**2 + a and give i.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.07  (b) -2\/5  (c) 5  (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6784)\/160*5\/(-2). Let q = n - 126. Calculate the remainder when (1*-3)\/(-1) + q\/20 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3246, -9, 14, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/3, 738 in decreasing order.\nAnswer: 738, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from fffkffk.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7139733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70812 = -135*f - 862*f - 689*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 + 1. Let g(p) = -2. Let l(m) = 5. Let f(y) = -14*g(y) - 6*l(y). Let s(z) = z - 5. Let w be s(5). Let j = w + -1. Determine j*f(v) - 2*o(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -20259770 to the nearest 100000.\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 389827 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2305413, 2305418, 2305425, 2305434, 2305445, 2305458?\nAnswer: 2305473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*g - 4*g + 5*z, 5*z = 5*g - 30. Solve g*m - 5 = 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1256452 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -1. Let c(r) = r**2. Let w be c(a). Suppose 8*m = w*m + 56. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10906363.8 microseconds to days.\nAnswer: 0.0001262310625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -56\/9 and -49\/123.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 5*v**5\/2 - 183765*v**4\/2 - 827235*v**3 + 3308580*v**2 = 0?\nAnswer: -12, 0, 3, 36762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 12, n: 7}. What is prob of sequence ntt?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 32858 = -781322. Suppose -36*d = 8224399 + 3037697. Let y = d - m. What is y rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*(2 + (sqrt(108) - (sqrt(108) + 5 + -2*sqrt(108)))))**2 + 5.\nAnswer: -72*sqrt(3) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*z - 118*z + 240*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5765 - 6269 + 11507)*(-2*x**2 - 5*x**2 + 5*x**2) - 4 + 2*x**2 + 4 to the form q*x**2 + g*x + r and give q.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26923059*h**3 - 66014130 wrt h.\nAnswer: -80769177*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6062.919ml?\nAnswer: 6.062919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 58427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88308.43 millennia to months.\nAnswer: 1059701160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = u - 4. Suppose -a + 4*a = u*f - 65, f + 2*a = 43. Let v(h) = -81*h + f*h + 39*h. Let q(y) = -y**2. What is v(q(c))?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**2 - 320*z + 320*z + 15*z**2 - 7*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/13))**(-38) assuming u is positive.\nAnswer: u**(76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*r - 14 = 6*f, 2*f + 4*r - 4 = 0. Which is the third biggest value?  (a) 2\/13  (b) 2\/15  (c) f  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmttmmmttttm. What is prob of picking 2 t and 2 m?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -7489\/5094 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y**3 - 47*y**2 - 47*y - 98. What is n(-8)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 4952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 53 = 5*o, 211*o - 27 = 207*o - y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -539 - -539.4. Let v = 13 - 18. Which is the smallest value?  (a) p  (b) v  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 + 6 - 45)*1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -l**5\/10 - 7*l**4\/24 - l**3\/9 - 61. Find n, given that a(n) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**4\/2 + 33221*h**3\/4 + 679339*h**2 + 14353920*h + 20030400 = 0. Calculate h.\nAnswer: -40, -3\/2, 16692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-2*-1*(-2 + sqrt(891)) + -3 + ((sqrt(891) + sqrt(891)*-1)*-3)**2)*-1.\nAnswer: -54*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -140 + 167. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 170128 and 271901?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-1))**50\/(n*n**(-1\/4)*n*(n**(-1)*n)\/n) assuming n is positive.\nAnswer: n**(597\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8622, -16845, -25068, -33291?\n\"Answer: -8223*f - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -547.55 - 10.45. Let o = 557.999673 + c. What is o rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-264)\/(-594))\/(15\/(-60))\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggggggggggggegggggg. What is prob of sequence egg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 91038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b + 1. Let n(y) = y**3 + y. Let j be n(1). Let k(v) = v**2 - 1. Determine j*k(l) + d(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 368810906.\nAnswer: 2, 31, 5948563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-65)\/52*(-2)\/(-5). What is the closest to p in 1\/2, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-seven fifths of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 5. Let m(t) = g*t + t - t - 7*t. Let x(v) = -25*v. What is x(m(y))?\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 27 + 35 = 0. Let m = j + 26. Let y = 84 + m. What is the remainder when y is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.78 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12.2 - 12. Let g = -1 + 0.7. Which is the biggest value?  (a) g  (b) d  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jtwtjpjjjjppjpttjjwj. What is prob of sequence jwwt?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1347079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11144133242 (base 5) to base 4.\nAnswer: -233221101132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8708396*h**2 - 8618110*h wrt h?\nAnswer: -17416792","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4814112654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -68971 take away 0.3393662?\nAnswer: -68971.3393662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.084 in 135, -2\/21, -13?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 38*c**3 - 2*c**2 + 28*c + 23. Let t(m) = -17*m**3 + m**2 - 14*m - 12. Calculate -4*n(y) - 9*t(y).\nAnswer: y**3 - y**2 + 14*y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.07 - 0.15. Let y = -73 + 76.08. Let l = h + y. Which is the second biggest value?  (a) 1\/10  (b) 1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 74 = -f. Let v = f - -52. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - f**2 + 2)*(6*f + 2395 - 547 - 1292).\nAnswer: -6*f**3 - 556*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -14*i**2 - 3*i + 3. Let r(h) = 92*h**2 + 20*h - 20. Let c(m) = -3*r(m) - 20*w(m). Let g(t) = -87*t**2. Determine c(g(o)).\nAnswer: 30276*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of 0*f**4 + 11 + 0*f + 0*f**2 - 5\/3*f**3 + f**5. Find n such that b(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9.704 * -5700\nAnswer: 55312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36771, 35937, 35103, 34269?\nAnswer: 33435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**3 - 1. Let k(t) = -321*t**3 - 214. Give 214*d(r) - k(r).\nAnswer: -107*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*y**4 - 178 with respect to y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -135*z**2. Let w(i) = 315*i. Let s(y) = 184*y. Let c(a) = 5*s(a) - 3*w(a). Calculate q(c(h)).\nAnswer: -84375*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2 - 3 - 12*p - 9 + 0 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32 and -3 + 5 - 109\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (40 - 45) + 3670\/336 - 5 and 173\/672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -6*v - 21. Let r(a) = a - 25. Let h be r(10). What is the units digit of p(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -16 + -5 + (8 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 101483 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-19899.\nAnswer: 7959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -14, 13, -4, 23 in increasing order.\nAnswer: -14, -4, -3, -1, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) 0.4  (c) -4  (d) 5\/7  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7336110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003188 rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 617126, 1234252, 1851378?\nAnswer: 2468504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 4, v: 4, c: 3, o: 3, k: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k**(-1\/7))\/k*k**2\/k*(k**1)**(-32))**9)**(-2\/75) assuming k is positive.\nAnswer: k**(1266\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1564*w + 2021*w - 2559*w)*(-w - 2 + 2) + (0*w - w - w)*(w - 5*w + w) to the form c*w + s + z*w**2 and give z.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 10 + 70. Let m = w + -5. Let k be -1 + m\/12 - (-2)\/(-8). Is -12\/11 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 PM and 9:30 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/(-3))\/((-4)\/(-6)). Suppose -a - h*a = -21. Suppose 7*u - 3*u = 5*t - 12, 5*u = -5*t + 30. What is the smallest common multiple of t and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116450 >= 118115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1024232 (base 5) to base 2.\nAnswer: -100010000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -93232.078494 + 93232. What is x rounded to 3 dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -55 + 295. What is the highest common factor of 208 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 2  (c) -0.3084  (d) -4\/9  (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by -8099.\nAnswer: -25\/8099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 122410991 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 3*v + 7. Let x be j(3). Suppose x*m - 706 - 834 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13345.4 - 13339. What is the closest to 0.1 in z, 0.5, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 8*z. Let a(s) = -s + 1. Suppose 1036*j + 28 = 1050*j. What is j*a(w) - 2*t(w)?\nAnswer: -18*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -252 + 260. Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m + 337. Is p(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 9)*(j - 2*j**2 - j).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/6 - (581\/(-21) + -7). Suppose -3*d - 4*m + 78 = -g, -m + 2 = 0. Solve n - 5 = -u - u, 4*u - d = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 2. Let q be d(0). Let o be ((-12)\/(-2))\/q + 1. Let m be (-1 + 2)*(-1)\/(-7). Which is the biggest value?  (a) m  (b) -0.3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 + 3*h**3 - h**3 + 2*h**3 + 0*h + 0*h + (4*h**2 - 3*h**2 - 3*h**2)*(-h - 3*h + 3*h) + 2*h**2 + 2*h**3 - 2*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of 3\/16*s**4 - 9\/8*s**2 - 24 - 1\/2*s**3 + 0*s. Let q(o) = 0. Calculate o.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-873 - -873 - 83\/2) + 1\/(-2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6536479 rounded to the nearest ten thousand?\nAnswer: -6540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 316*w. Let l(b) be the second derivative of -b**4\/6 - 109*b. Calculate l(h(m)).\nAnswer: -199712*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 32460567 divided by -1411329?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (555\/74)\/(25\/20)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12959545*-0.36\nAnswer: -4665436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 145424 + 4?\nAnswer: 145431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25bb + -424?\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**6*d\/(d*d**1)*(d**(-1\/2))**(2\/41))**(-43) assuming d is positive.\nAnswer: d**(-8772\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/1 + (-18)\/(-6). Let k(s) be the third derivative of h*s + 1\/36*s**4 - 2*s**2 + 0*s**3 + 0*s**5 - 1\/180*s**6 + 0. Factor k(t).\nAnswer: -2*t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 1, -9 in ascending order.\nAnswer: -9, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(2\/5)*o*o**(-1)*o*(o\/o**(-2\/3))**(-9\/7) assuming o is positive.\nAnswer: o**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 1 = 25. Find the second derivative of 9*p**2 + 23*p**h - 13*p**2 - 22*p wrt p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 623*c**3 + 356*c**2 + 356*c. Let l(h) = -h**3 - h**2 - h. Give -j(x) - 356*l(x).\nAnswer: -267*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/6*(-120)\/(-100). Let k(g) = g**2 + 3*g - 1. Let y be k(-3). Sort r, y, -3 in decreasing order.\nAnswer: r, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*n**3*s**2 + 39*n**3 + 4*n**2*s + 11*n**2 - 4694*n*s**2*w + 2*n*s*w + 3*n wrt s.\nAnswer: 8*n**3 - 9388*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 + a - 9. Calculate d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 11*b = -5*b. Let v(f) = -2*f - 3*f + 8 + 4*f. What is the remainder when 14 is divided by v(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 7:49 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -10. Put j, -0.5, 0.1 in increasing order.\nAnswer: -0.5, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f - 6. Let w(n) = 8*n + 55. Let t(z) = w(z) + 6*x(z). Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -8. Let t be (1 + a)\/(-2) - 1. Let p = -673\/24 - -219\/8. Are t and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6527 bigger than 6135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12177 and 61776?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 - 1. Let a(o) = o**2 + 8*o - 2. Let q be a(-8). Let z(p) = p**2 + 21248 - 42501 - p + 21254. What is q*z(r) - w(r)?\nAnswer: -3*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - g + 7. Let d be j(0). What is the third derivative of 14*i**5 - 5*i**2 + 1 - d*i**5 - 1 wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1420303, 2840612, 4260921?\nAnswer: 5681230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 495.7174 years in decades?\nAnswer: 49.57174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (14\/6)\/((-4)\/24). Let v be 32\/t + (-4)\/(-14). Let i = 31 - v. What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -r - 2, 0 = 4*r - y - 4 + 12. Let h = -4 + r. What is the units digit of ((-2)\/4)\/(3\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -389.6 - -393.6. What is the third biggest value in 0.08, g, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001620671339 to 7 decimal places.\nAnswer: -0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5049774 divided by -39762?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7962 - -159337\/20. Calculate the common denominator of m and ((-82)\/(-6))\/((-44)\/6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -2.434?\nAnswer: 0.9736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 10*c**2 - 3*c - 55. What is the lowest common multiple of h(5) and 15?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.06  (b) -5  (c) 922\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(3\/19)*z**(2\/3)*z\/(((z**(-1\/5)\/z)\/z)\/z)*z*z**(-4\/3))**(-24) assuming z is positive.\nAnswer: z**(-10696\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -160.2 + 160.1. What is the nearest to -4 in j, 4, -2, 1\/31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 255 - 1013\/4. Let q = 7\/8 - b. Let a = -3053\/610 + 104\/61. Find the common denominator of q and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 84613?\nAnswer: -169226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 20*q**2 - 27*q - 131. What is c(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2297  (b) 1715  (c) 1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (0 - (-121)\/(-2)). Let k = -479\/8 - l. Which is the third biggest value?  (a) k  (b) 1\/39  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 110511 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*u**3 + 4*u**2 + 334 + 15*u - 10*u**4 - 334 - 54*u**2.\nAnswer: -5*u*(u - 3)*(u - 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b + 0*b - 13*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(704)*1*-6 + -2*(sqrt(704) - sqrt(704)*2))**2 + ((sqrt(704) - (sqrt(704) + -1 - sqrt(704)))*3*2)**2)*-2.\nAnswer: 5760*sqrt(11) + 366440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c + 2*c**4)*(4 - 7 + 1).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -r**4\/4 - 3*r**3 - 11*r**2\/2 - 12*r + 23. Let v be g(-8). Let b(u) = 12 - v + 2*u**2. Let n(s) = 26*s. Determine n(b(h)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Suppose 3*r + 33 = 120. Suppose 6 = 3*u - 3, 0 = 4*v - 5*u - r. Suppose -4*g + 3*z = -128, 4*z - 19 = -g + 13. Calculate the remainder when g is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23123090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.555784 from -59.\nAnswer: -60.555784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73553, 295868, 666393, 1185128?\nAnswer: 1852073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -35, 20 in increasing order.\nAnswer: -35, -4, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 74 + -9. Let b = q - 48. Let k(o) = 6*o**2 + 18*o + 5. Is k(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-18)*-3 - 941\/378. Let c = -2\/189 + m. What is the common denominator of 107\/12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5723583 by 25.\nAnswer: 5723583\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1354*i + 20 = 7*f - 1359*i, -46*i = 3*f - 44*i - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -14*x - 1. Suppose 0 = 4*o + d + 4, 3*o + 5*d - 10 = 4. Let g be w(o). Let p = g + -24. Put p, -1, -5 in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 - 6. Suppose 180 = 4*l - z. What is the remainder when l is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**4 + 56*n**3 + 52*n**2.\nAnswer: 4*n**2*(n + 1)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 321*f - 992. Determine g(6).\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 7. Solve 4*v + 16 = b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -4*f - 4, -4*f + 5*f - 1 = 2*x. Sort 8, -0.5, 5, f in decreasing order.\nAnswer: 8, 5, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**2 - 3*v + 1. Calculate w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13688880 divided by -12?\nAnswer: 1140740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17547 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c = 19*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + 18. Let f(t) = -2*t**2 - 2 - 6*t + 2 + a. Let n(k) = -k**3 + 2*k**2 - 4*k + 2. Let h be n(2). Let i(r) = -6*r**2 - 17*r. Give h*i(d) + 17*f(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of m**5\/120 + 3*m**4\/8 + 167*m**2. Solve w(k) = 0 for k.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (19\/(-19))\/((-6)\/2). Which is the biggest value?  (a) q  (b) 4\/7  (c) -1\/42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8668 and 81952.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2502 smaller than 2510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of t**4\/12 + t**3\/3 - 3*t**2 - 14*t. Let r be z(-4). What is the lowest common multiple of 3 + -6 - (-15 + r) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) -2  (c) -0.11  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3060883 or 3060853?\nAnswer: 3060883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1652839877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -16  (b) 5  (c) -2\/9  (d) -2\/33  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9210 divided by -2.\nAnswer: 4605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18276 - -175255. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 296*s**4 + 16*s**2 + 16*s + 216. Let z(i) = 99*i**4 + 5*i**2 + 5*i + 72. Let p(l) = -5*r(l) + 16*z(l). What is the derivative of p(v) wrt v?\nAnswer: 416*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.48 + -2. Let i = 6.52 + s. Let h = 24\/35 + -2\/5. Sort i, -0.4, h.\nAnswer: -0.4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 5*s - 1. Let t be x(-4). Let p = 6 + t. Is p != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or -77\/9?\nAnswer: -77\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 53*v**3 + 4. Let f(g) = -6307*g**3 - 477. Determine 4*f(l) + 477*q(l).\nAnswer: 53*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-6) + (-1848)\/15660. Let l = j + 1\/145. Sort l, -0.5, -0.1.\nAnswer: -0.5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 31 = -5*a + 16, 3*j = -4*a - 11. Let z(v) = v**2 + 3*v - 4. Let h(t) = 3*t**2 + 7*t - 9. What is j*z(u) + 4*h(u)?\nAnswer: 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/((-323)\/(-19)))\/(7*(-5)\/(-595))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -n - 8, 3*z - 8 = -3*n - z. Suppose n = -q + 3. Suppose 0 = p + q*p - 2*w - 126, -4*w - 136 = -4*p. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -9*i + i**2 + 12*i - 5 - 7. Let a be g(-6). What is the third derivative of -m**2 + 4*m**6 - 4*m**2 + 0*m**2 + 0*m**a wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/11)\/b*b)\/b*b)\/((b\/b**(1\/2))\/b)*b**3*b\/(b*b\/b**(-3\/7)*b) assuming b is positive.\nAnswer: b**(179\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -85*y**3 + 1099 - 3*y**2 - 2*y**2 - 552 - 548 + 4*y**2 in the form x + o*y**3 + i*y + p*y**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -8*x + 515. Let a(w) = -21*w + 1543. Determine 3*a(m) - 8*b(m).\nAnswer: m + 509","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 5*a + 58. What is m(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -200750213.\nAnswer: 2\/200750213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.2, 13\/28, 1\/6.\nAnswer: -4, 1\/6, 0.2, 13\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 918151155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111101001011101 - 10010?\nAnswer: 100111101001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3672 divided by 6.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*a + 2. Let m = 18 - 4. Calculate the smallest common multiple of 8\/a + 2\/(-3) and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.589 + -3.649. What is the nearest to -0.2 in 4, 2\/7, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**4 - 351000*y**3 - 350985*y**2 + 701990*y = 0 for y.\nAnswer: -70199, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 6*i + 11. Suppose -4*v - s = -11, s = -3*v + i*s - 9. Find y such that -2*y**2 + v*y**2 - 5*y**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*(s\/(s**(-2\/27)\/s*s*s))\/s*s**19*s assuming s is positive.\nAnswer: s**(542\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 449377839 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 46456 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -132, 35, 492, 1383, 2852, 5043?\n\"Answer: 24*j**3 + j**2 - 4*j - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/7  (b) -0.23  (c) -4  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 141 + -43. Suppose -q + i = 3*y, -1 - 35 = -y - q. Let o = -20 + y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 21*x - 9. Let o be z(4). Suppose 4*s = s + o. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16857033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 9*n - 12. Let c(m) = -m**3 - m**2 + 7*m - 15. Let t be c(-4). Calculate k(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**5 + 16800*v**4 - 11112662*v**3 - 44635396*v**2 - 55865616*v - 22359680 = 0. Calculate v.\nAnswer: -9016, -2, -1, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - 0.1. Let j = -35753 + 35757. Sort u, j, 2\/5.\nAnswer: u, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -158433029 - -625810494971\/3950. Let l = c - 3\/1975. What is the common denominator of -28\/195 and l?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 44\/314023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of 0 + 0*z**2 + 230*z - 1\/2*z**3. Let q(l) = -8*l - 9. Let a(x) = 4*x + 4. Let o(u) = -9*a(u) - 4*q(u). What is n(o(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 7*z - 12 = 0. Let s be -4*(3\/z + -1). Let o be -2*9\/(-3) + -2. Solve -o = -3*b - 2*w, 0*b = -2*b - s*w + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/125, -0.5, 0.3219, 4?\nAnswer: 0.3219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 6*n - 270. Suppose 11*i = 5*i + n. Suppose 11 = i*f - 4. Solve 0 = -0*p - f*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 611*a - 51943. What is v(85)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 0*h + 0*h)*(4*h - 4*h + 2*h**3)*(-724*h - 1084*h - 693*h).\nAnswer: -10004*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 + 54 = -3*c. Calculate the remainder when 7 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22159606?\nAnswer: 2, 7, 31, 51059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -471\/47 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -230 + 111267?\nAnswer: 111037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/2))**(-1\/42))**(-1\/11)*(v**(2\/5)\/v**(-2\/29))**(13\/7) assuming v is positive.\nAnswer: v**(116833\/133980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 52\/5 - 521\/15. Let d = 25 + h. Let l be (-2)\/6 + (-4)\/6. Which is the third biggest value?  (a) -2  (b) d  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/28*(-152)\/3154. Let j = u + -1735\/2324. What is the second biggest value in 1.4, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 18*i**3 - 2*i + 1. Let z be (-4)\/(-2)*(-4 - (2 - 5)). Let l be p(z). Let f = l - -258. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1497.748 days to milliseconds.\nAnswer: 129405427200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 704\/9 or 77?\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.971179km to meters.\nAnswer: 971.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (1 - 3) - (-8 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 3.6. Let r be 1 - 0\/(3*-1). Let s be (1 - (-1)\/2)*r. Sort 2\/9, w, s.\nAnswer: w, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.001 - -37.499. Let p = g - -0.5. Let x = -37.977 + p. What is x rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 25*r + 41. Let k(x) = -6*x. What is w(k(j))?\nAnswer: -150*j + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + j - 3*j - 23617, -i - j - 7871 = 0. Let u = i - -385858\/49. Find the common denominator of 2\/3 and u.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 + 35 = -80*w - 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -27, -61, -105, -165, -247, -357?\n\"Answer: -x**3 + x**2 - 30*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 594 + -513. Calculate the highest common factor of 72 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 4*t - 1. Let m = -2 + -1. Let z be p(m). Suppose -z*q - 2*q = -152. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 539 + -10767\/20. Calculate the common denominator of (388\/18)\/1*3\/4 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2814*d - d**3 + 2*d**2 + 2769*d - 1 - 2 as p*d + v + b*d**3 + z*d**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1824547086.\nAnswer: 2, 3, 19, 1093, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22230 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.07 + -8.27. Let u = -8 - r. Let l be 1 + (2\/(-11) - 1). What is the closest to 0 in u, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -9*y**2 + 120*y - 38. What is w(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(60)\/sqrt(2))\/(sqrt(1440) + (sqrt(1440) - (sqrt(1440) - 2*sqrt(1440))) + sqrt(1440) - sqrt(1440)).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.649444 to two decimal places.\nAnswer: -10.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5372, -5385, -5412, -5459, -5532, -5637, -5780?\n\"Answer: -v**3 - v**2 - 3*v - 5367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6266 - -9685. List the prime factors of o.\nAnswer: 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a minute in seconds?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(6 - (-467152)\/(-77861)). What is the tens digit of 2\/(-6) - a\/147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-6)*(-60)\/(-560).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.299  (b) 0.23  (c) -3\/4  (d) -1996\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 11*z = 7200000. What is z rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -4*o + 112. Calculate c(0).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000611 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 + 925108*k - 925108*k. Let w(b) = -11*b - 12. Calculate w(v(u)).\nAnswer: -22*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 15*f**2 - 4*f + 13. Let t(v) be the third derivative of -2*v**5\/15 + v**4\/12 - 7*v**3\/6 + 4*v**2. Give -6*s(n) - 11*t(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -3, 0, -484.\nAnswer: -484, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 5. Let u be d(4). Suppose 0 = -i + 2, u = q - 2*i. Suppose -2*f**5 + q*f**2 + 0*f**4 - 12*f**3 + 0*f**5 + 8*f**4 - 2*f + 3*f**2 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a + h + 15, 5*a - 2*h + 992 = -5*h + 953 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5*y - 63 = -4*c, -c + 7 = -y. Let v be (4 - 4 - -3) + c. Is v\/(-24)*-2014 + (-1)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -361501 (base 8) to base 2.\nAnswer: -11110001101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -0.2461\nAnswer: 1.2305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3843724mg to nanograms.\nAnswer: 384372.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(21\/9))\/(201\/737).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(-6 - 44 + 2*h + 66) + 3*h - 3*h - h.\nAnswer: -3*h - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - -36. Suppose 0*k = 2*k - 30. Calculate the remainder when f is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4 + 48*x**3 + 342*x**2 + 648*x.\nAnswer: 2*x*(x + 3)*(x + 9)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddwwdjwwwwjwwww. Give prob of sequence wjjw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/(-44))\/((-195)\/(-143)))\/((-9)\/(-15))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -16, 27 = -3*n + 2*q - 5*q. Let c = 4 + n. What is the units digit of c + 2 + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86713 is divided by 12379?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 503 - -77?\nAnswer: 57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 3*v**2 - 4*v. Let r be k(-4). Suppose 4*b + 31 = -4*o + o, r = -5*o + 4*b - 9. Put o, 3, -2 in ascending order.\nAnswer: o, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + -2*sqrt(475) + sqrt(475) + 0 + sqrt(475) + -1)**2*2*-4.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 114743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1475 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {s: 2, y: 7, b: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 830 a factor of 181246270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/17)\/(s**(-2\/15)*s)*s**(7\/6)\/(s**(2\/5)*s))**(2\/17) assuming s is positive.\nAnswer: s**(-177\/1445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*l + 46*l = -8075729. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -10*z**3 + 13*z**2 - 12. Find the second derivative of l(y) wrt y.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -443 * -198\nAnswer: 87714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -8. Suppose 4*n - 2*d = -22, -5*d + i = -n - 1. Let m be ((-4)\/n)\/((-2)\/(-30)). Solve -y - y = m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3 + 25905*l**2 - 37534200*l + 9985162000.\nAnswer: -5*(l - 2420)**2*(l - 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -27 greater than or equal to -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.052 - 192.052. Let c = -191.99999883 - n. What is c rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mqq when three letters picked without replacement from {q: 6, m: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**3\/8 - 84491869*b**2\/8 + 1784718939532355*b\/8 + 1784719024024225\/8 = 0. What is b?\nAnswer: -1, 42245935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 42, 77, 90, 75, 26, -63?\n\"Answer: -o**3 - 5*o**2 + 57*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**3 + 15*a**2 + 7*a - 6. Let u(t) = -8*t**2 + t**3 + 3 - 2*t + 0 - t. Let x(w) = -3*h(w) - 5*u(w). Let q = -35417 - -35423. Determine x(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 388 - 267. Let t = w + -70. Find the common denominator of ((-19)\/18)\/(17\/t) and 57\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 5*x - 1. Let v be q(-4). Let u be 67\/v - 20\/(-30). Suppose 4*j - 135 = -u. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzyyzuzuzbyzufb. What is prob of picking 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 2 + -3 - (-8 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34124743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -73.838809416?\nAnswer: 75.838809416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 4*k - 1597 = 3171, k - 4759 = -4*b. Suppose -3*i = -b - 710. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/153 and 50\/181.\nAnswer: 27693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20.3539 and 0.1?\nAnswer: -2.03539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**2\/11 - 24986*d\/11 - 6816 = 0. What is d?\nAnswer: -3, 12496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158918187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2c (base 15) to base 4\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 13. Let n(p) = -p + 13. Let q(l) = 5*n(l) + 4*w(l). Let h be q(4). Let m(u) = u**3 - 7*u**2 - 16*u - 16. Let v be m(h). Solve 3 = o - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-5 + 2*((1 + sqrt(1872))**2 + -4 + (3*(sqrt(1872) + -1))**2))*-1.\nAnswer: -1536*sqrt(13) + 149788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 9*x - 168. Let c = -19 - -27. Suppose p = 5*p + c, -5*r + 309 = 3*p. What is the remainder when r is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1449 - -1448.1. What is the closest to -1.5 in 1, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -33312321 - -3?\nAnswer: -33312312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 12*v - 46. Let z be s(4). Let p(g) = 11*g + 3. Let r be p(z). Solve 5*w - 2*w - r = -5*t, 4*t = w + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 449701 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1386, 2769, 4152?\n\"Answer: 1383*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -4*n - 28, -y + 3*n = 6*n - 5. Solve 5*u - 12 = 4*c + y, -3*c = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from {j: 7, q: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 38\/5 or 2\/1369?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 3 - 18 + 5*n + 2*n**4 + 23 + 26*n**2 - 12*n**3 - 29*n = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-196)\/(-245)*-7*(-80)\/(-672)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13.091 - 0.209. Let v = 26.2 + c. What is v rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 2342?\nAnswer: -4684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 4. Let t be (1 - -1)*3\/(-6). Let a = t + 3. Put k, -3, a in increasing order.\nAnswer: -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 7. Put m, -0.3, 1.4 in ascending order.\nAnswer: m, -0.3, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 635570 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69578147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 3345?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -w**3\/3 + 3*w**2 - 2*w + 1. Let l be z(5). Sort -4, l, -5 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -882 + 2412. What is the remainder when 168 is divided by (u\/15)\/(9\/3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1538 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: Simplify (3 + 2 + sqrt(17))**2 + -2 - ((1 + sqrt(17))**2*-1 + -4).\nAnswer: 12*sqrt(17) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15774, -31591, -47408, -63225, -79042, -94859?\n\"Answer: -15817*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -51530*-1\nAnswer: 51530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -84, -72, -58?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -808 = -156*z + 797 + 111 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (-6 - -1) + -35 + 36 + -1 + 60?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -14*t + 3. Let l be n(-4). Suppose -52 - l = -3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 169137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 8:33 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 438 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*h**2 + h**4 - 4*h**2 + 2*h**2 + h**4 + 0*h**4 - 2*h**4 + (-9*h - 4*h + 5*h)*(-2 - 2*h**3 + 2) to o*h + s*h**4 + c*h**3 + r + y*h**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-19)*g*g**(-2\/3)*(g**1)**(1\/7))**(-5\/4) assuming g is positive.\nAnswer: g**(1945\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 378 <= 4909\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1000010 (base 2) to base 5\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 959\/6 - 160. What is the nearest to s in -0.1, 0.4, -2\/9, 1\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4559504*h + 2735379 with respect to h.\nAnswer: -4559504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -240, -504, -804, -1152, -1560, -2040, -2604, -3264?\n\"Answer: -2*q**3 - 6*q**2 - 232*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -977f1a - -3?\nAnswer: -977f17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a - 2. Let t be s(-9). Let c = t + 0. Let p(n) = -n**3 + 8*n**2 - 6*n - 1. Give p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -15*a - 11. Let u(j) = 313 + 34*j - 318 - 42*j. Give -6*f(y) + 13*u(y).\nAnswer: -14*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2\/5 + 1385596*o\/5 - 15239136.\nAnswer: -4*(o - 346344)*(o - 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y. Let k(j) = 197*j + 104373. Calculate i(k(u)).\nAnswer: 394*u + 208746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 - -11. Suppose w = -n - 4*q + 13, 0 = n + 3*q - 0*q - 11. Suppose -2*j = -0*h + h - 10, -4*j + 24 = 4*h. Solve -m - j = -n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 - -6.9. Let g = n + -6.99. Let q = -1.1 + -2.9. Which is the nearest to -0.1?  (a) 0  (b) g  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) 26  (b) 0.12  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**4 - 5809*z**3 + 5810*z**3 + 111*z**4)*(2 - 2 + 1).\nAnswer: 107*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 1)*(-4 + 4 - 3)*(-4*b + b + b) to i*b + r and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -n**4\/6 - n. Let y(r) = 0*r + 4 - 2*r - 4. Determine x(y(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 562117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 2*z - 3084 = 0, -3092 = -11*g + 7*g - 2*z. Suppose -5*a + 1488 + g = 0. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4a097 - -43?\nAnswer: -4a054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) 0  (b) -0.3  (c) -6\/7771\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 31 = 1. Let r(w) = w + 6*w - y*w + 2*w. Let f(m) = 16*m. What is f(r(t))?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5420, 5421, 5422, 5423, 5424, 5425?\n\"Answer: d + 5419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 2*a - 2*a)*(11*a + 6*a + 19*a) + (0 + 0 - 2*a**3)*(1 + 1 - 5) + (-3 - a**2 + 3)*(-4*a - 2*a + 2*a).\nAnswer: -62*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15624*u + 1803018?\nAnswer: -15624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (351\/(-26))\/((-2)\/8). Suppose -3*w - 3*j + 36 = -5*j, -2*w - 4*j + 8 = 0. What is the first derivative of r*o - 54*o - w + 3*o**3 wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*n - 28302 = 0. Let o = n - 169901\/18. What is the common denominator of ((-14)\/(-4))\/((-20)\/(-14)) and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-98)\/343)\/(2\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m\/((m**28\/m)\/m))*m**(-1\/5)*m)\/((m*m*m**26\/m)\/m**23) assuming m is positive.\nAnswer: m**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 76881562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 43*s - 32. Let n be a(25). Calculate the greatest common factor of 52 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*d - 2 = -2*r - 38*d, r - 7 = 4*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/6)\/((-1)\/3). Differentiate -4*w**4 - o - 6 + w**4 wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 9*o - 3. Let u be a(-5). Let z = u - 9. Suppose 2*t - z*t + 384 = 0. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 0*y = 12. Suppose 5*f = -5*t + 3*t + 19, -4*f = -y*t - 6. Solve -t*b + 5*b - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 663243 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)\/(sqrt(12)*3) - (sqrt(2299)*-1 - sqrt(2299)))**2 + -5.\nAnswer: 85246\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7290 and 648.\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6479181 and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 44488, 42239, 39990, 37741, 35492?\n\"Answer: -2249*d + 46737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-27)\/2*8\/(-12)*1. Let l(m) = m**3 - 8*m**2 - 13*m + 38. Let d be l(g). Solve 2*n = -4*k + d, -4*k - 13 = -3*n - 0*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbtbttbbbttbbbbbb. What is prob of picking 2 t and 1 b?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5348266*n + 458*n**3 - 5348266*n.\nAnswer: 458*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -4*c - 3. Let n be g(-2). Let b = 12217 + -12214. Solve 0 = -2*s + n*s - b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 234 and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 + -2 + 0)\/(-1). Let n(g) = -g + 10. What is the tens digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/22 or 13\/2?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9246394cm to millimeters.\nAnswer: 9.246394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -26075?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1426617 is divided by 414?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 3151?\nAnswer: 2\/3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -5\/24948 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 36430634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1246*r + 3153*r - 2759 - 3395 = 1322*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1161 + -917. What is the highest common divisor of 36 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2986, -6694, -10402, -14110?\n\"Answer: -3708*q + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 613*-2\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-1)\/h*h*h)**(-17)\/(h**(-1\/2)\/h)**44)**(2\/57) assuming h is positive.\nAnswer: h**(98\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-258)\/(-172))\/((1*3)\/((-64)\/4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3366 = 5*w - 1136. Let b = w - -730. Suppose -b = 3*t + 256. What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 1, -229, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -p - 2*x, -30 = -4*p - 5*x - 0*x. Let j = 14 + -8. Let b(t) = 4*t + 8. Let u(f) = 5*f + 9. Let a(r) = j*b(r) - 5*u(r). Give a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + q - 5*i + 90 = 0, -q = 5*i + 10. Let b be 5\/(((-5)\/q)\/1). Suppose -17*d = -b*d + 33. Solve v + 10 = 4*w + 2, -v = -5*w + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c - 2 + 2 + (2 - 3 + 4)*(-3 + 3 + 2*c) + c + 0 + 0 - 22*c + 42*c - 19*c + 16.\nAnswer: 9*c + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - (6 - -3)) + 5 - -1. Solve 3*t - r*p - 4 = 8, -3*t = p + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 11776960\nAnswer: -1\/5888480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 0*c - 3*c)*(2*c + 0 + 0)*(0 + 0 - 2*c**2).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**5 + 157*n**4 + 1435*n**3 - 375241*n**2 + 373650*n = 0.\nAnswer: -47, 0, 1, 53, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of n**5\/30 + n**3 - 3*n**2. Let h(d) = 3*d**2 - d - 1. Calculate the remainder when v(-4) is divided by h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.02 + -0.19. Let n = -29 - -27.17. Let f = n + o. Which is smaller: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 8, -7292*s + 7288*s = l - 3 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -21428329, -21428327, -21428325, -21428323, -21428321, -21428319?\n\"Answer: 2*d - 21428331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1035.7*0.03.\nAnswer: 31.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of -r**6\/10 + 9*r**5\/5 - 11*r**4\/4 + r + 70. Factor l(t).\nAnswer: -3*t**2*(t - 11)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -6*p + 3*p - 643, 0 = 3*h + 5*p - 475. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1944.008 years in months?\nAnswer: 23328.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 109.178538 rounded to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -21 and -9316769143.\nAnswer: -9316769164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 6, 11, 18, 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 13) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -1\/3, -5\/23336 in decreasing order.\nAnswer: -5\/23336, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 981 + -981.2. Let n = 2 - 5\/2. Which is the closest to -0.1?  (a) 2  (b) t  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 3)*(-5*y**4 - y**4 + 3*y**4) - 192*y**2 + 192*y**2 - 36*y**4.\nAnswer: -39*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -219*x - 4. Let j be w(-1). Suppose 0 = -15*t - 20 + j. What is the first derivative of t*s**2 - 20*s**2 - 14*s**2 + 15 wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a factor of 330500579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10352692 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 26 + -9 + (-6)\/(-2). Solve -4*v - 21 + 1 = -4*l, 2*v = -4*l + q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 78164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -21, -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -28 - 17 - 45*o**2 - 8 - 100*o**3 - 45*o + 8. Let d(s) = 43*s**3 + 3 - 4*s - 7 + s**2 - 5*s**2 - 52*s**3. Give 4*c(p) - 45*d(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 4. Suppose -2*x - x - 5 = j*w, -w + 2*x - 14 = 0. What is the tens digit of w\/(-4) - 4*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/4)\/((-2)\/104). Let r = o - 10. Factor k + 0*k**2 + 3*k**2 + 3*k**r + 2*k**2 - 1.\nAnswer: (k + 1)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*g = 24*g + 380. List the prime factors of 3 - (-9)\/(18\/g).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 242507797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(0 - (-12 + 1)). Let h = -7 - n. Suppose h = x - 5. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/16 - (17\/(-4) + 1). Is (3 + 3)\/s*164\/8 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/(-14)*18\/(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 100*t**2 - 380*t + 15237. Calculate b(-105).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = k + 6, 3*k + 7 = -2*d + 2*k. Let j = 18 + -15. Which is the closest to -0.2?  (a) d  (b) j  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 0.67?\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*g - 5*g + 4*g)*((g - 5*g + g)*(-g - 5*g - 6*g) + (-2*g + g - g)*(-5*g + 4*g + 3*g)) in the form n + o*g + t*g**3 + h*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -101 + 99. Let w be ((-32)\/28)\/(0 - -2). What is the third smallest value in m, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -3*z - 36. Let l = -6 - z. Suppose 3*o - 54 = -3*y, 0 = 4*y - 3*y - l*o - 22. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92896 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 91\/35 + 3\/(-5). What is the third derivative of -4*u**3 - 3*u**v + 0*u**2 - u**2 wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 521 + -673. Let z = 156 + v. Let o = 2.1 - 10.1. What is the fourth smallest value in z, -0.4, o, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 516*i - 28. Let s be j(1). Let y = s + -458. Solve -2*o = 4*o + y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2209.53157 rounded to the nearest 10?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 + 0.1. Let b = 32 - 31.6. Sort z, b, 3.\nAnswer: z, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 1 = 0, 0 = -0*x + 2*x - 4*z + 16. Let l(r) = 2*r + 20. Let t be l(-11). Which is the nearest to t?  (a) x  (b) -2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 20 + 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5.87 * 0.7\nAnswer: 4.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2270.964 to the nearest 10.\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**5\/3 - 8*k**4 - 19*k**3 + 998*k**2\/3 - 820*k + 600.\nAnswer: -(k - 2)**3*(k + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.56035 nanometers in centimeters?\nAnswer: 0.000002056035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**2 + 35 + 36 - 73 + 43*f**3 + 31*f**3 as m*f**3 + k*f**2 + a + l*f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(((-3)\/(-2))\/((-24)\/(-16))). Find the second derivative of 5*x**q + 13 + 24 - 3*x**4 - 19 - 2*x**2 - x wrt x.\nAnswer: 24*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - 441420?\nAnswer: -441410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*o**3 - 494*o**2 - 1732*o + 464.\nAnswer: -2*(o + 4)*(o + 58)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u**3 + 7*u**2 + 12*u + 2. Let x(a) = -2*a**3 + 4*a**2 + 8*a + 1. Let y(w) = 5*l(w) - 8*x(w). Determine y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*i - 4*i - 20*i - 9*i - 6*i + 79*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 56520 + -56208.008. Let y = 312 - o. Which is bigger: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 2*d - 2 + d)*(-372*d**2 - 219*d**2 - 142*d**2)*(-5*d**2 + 2*d**2 + d**2).\nAnswer: 1466*d**5 - 2932*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 p, and 1 x when three letters picked without replacement from lxlglpxllxllgplplll.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) -2  (b) 2\/9  (c) 35  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 + 188 + -152 - -119?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -j + 39. Let d(i) = -i**3 - 6*i**2 + 7*i + 9. Let w be d(-7). Let q = w + 28. Calculate the remainder when q is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 141*q**3 + 13341*q**2 + 13347*q**2 - 26689*q**2 + 54*q**3 + 3*q as l*q**3 + j*q**2 + t + n*q and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 23 = 1. Let y = 22 + z. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(-2*sqrt(400)).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 13 - 13*h - 24)*(-3*h + 6*h + h) in the form y*h + z + n*h**2 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h**2 + h - 712. Let s be n(0). Let m = s - -1769. What are the prime factors of m?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w + 40 - 28. Let a = -214 - -1510\/7. What is the biggest value in a, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4738972 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -36*f - 503. Determine c(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 3*b - 2*b + 59, -2*b = -2. Let j = k + 52. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus -0.0666?\nAnswer: -3.9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70.55 - 70.5514854. What is f rounded to five decimal places?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4704 + 964322\/205. Is h < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1013946256 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -27*w - 66 + 177 - 516 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l. Let g(d) = -9*d + 13. Let f(r) = -4*r + 6. Let y(h) = 13*f(h) - 6*g(h). Give p(y(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4232368549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 203 + -135. Suppose 0 = -t + 2, -2*t - 3*t - v = -3*z. Calculate the highest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3790809 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - (102\/(-18) - 7))*2*(-2)\/(-12)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 12 = 8*f. Let v be (-1 - f)*-1*15. Let c be 5\/14*(-60)\/v. What is the second biggest value in c, -5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = b + 2*w - 20, 0 = 4*w - 4. Let f be b\/(-10) - 98\/(-130). Let a = -0.3 - -0.1. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11209573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 7  (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*t = 5*z + 2, -z - 6 = -2*t. Suppose -4*v - t*w + 287 = -785, v = 2*w + 278. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/50502 and -115\/2658.\nAnswer: 50502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 8 = 13*c. Let o = c + -4. Let q(r) = -5*r + r**2 + 11*r - 5 - 10*r. Calculate q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 0.3, -2.36758, 0, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4b59 (base 12) to base 8\nAnswer: -20565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44379773.\nAnswer: 29, 271, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 176618139 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7576 + -4517. What is the units digit of 1\/(-2 - -8) - q\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-16)*0)\/(-2). Solve z = -3*x - l, 3 = -5*x - 2*l + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 30*p**2 - 9*p + 12. Determine v(3).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169*c - 32 = -168*c. Let x be 8\/(-8 - c) - (-530)\/(-6). Put -3, -4, x in increasing order.\nAnswer: x, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -1\/3, 0.5, 0.2, -2030.04, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 138282 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -21. Solve i = 3*h + h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9990 and 888?\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h + r - 3, 4*h + 5*r - 35 - 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7fc - -3?\nAnswer: -7f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 + 4.1. Let w be -2 + 2\/3*3. Which is the smallest value?  (a) w  (b) f  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -0*v + 2*v + 8, 3*v + 4*q - 22 = 0. Let t(r) be the second derivative of v*r + 1\/12*r**4 - 5\/6*r**3 - 2*r**2 + 0. What is t(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c**2 - 382944771*c + 382944771*c.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 2*r**2 + 8*r. Let a be k(4). Is a < 5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + -2*2\/(-4). Let z = 54 + -108. Let m be (9\/z)\/((-2)\/4). Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 6 - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0.3, -2\/5, 2\/61221 in ascending order.\nAnswer: -2\/5, 2\/61221, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18989033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11.85017027299 - -0.1\nAnswer: 11.95017027299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2977620 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*u - 126991 = -131671 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = 3*i - 5*i. Suppose -c + i = 13. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2842 + -3.8698. Let b = -0.054 - r. Let x = b + -7.6. Round x to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 bigger than -7992\/3853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7644155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*0.07.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-6))\/(2\/(-6)). Suppose -3*c = 2*z - 31, y*z = -5*c - 0*z + 57. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58990 = 1507*u - 1505*u. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0, 96.4, 5, -2, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -432, 4 in decreasing order.\nAnswer: 4, 3, 1, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*c - 34, 5*g + 70 = -5*c. Suppose l = -3*d - 56, -d - d = 4*l + 24. Let q = g - d. Sort q, -9, -1, -5.\nAnswer: -9, -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -489115 or -489117?\nAnswer: -489115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-387)\/(-24))\/(27\/36) and 24\/109?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h. Let a(u) = u**2 - u + 2. Let b be a(0). Let t(m) = 0*m**2 + m**b + m**2. Calculate z(t(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-24*182\/(-234))\/(42\/12)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - 2*sqrt(132)*3))*-6)\/(-6*(sqrt(12) + (sqrt(48) + sqrt(192)\/sqrt(4))\/sqrt(4) + sqrt(12)))*-5.\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - -2) + -1 + -1. Let m(t) = -t + 3. Let j(q) = 5*q - 12. Let k(i) = n*j(i) + 9*m(i). Find the first derivative of k(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*w**2 - 17*w**2 - 4574*w + 4614*w + 2 wrt w?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -637, -631, -623, -613, -601, -587, -571?\n\"Answer: x**2 + 3*x - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*z - 10*z + 26*z + 20)*(-32 + 155 + 163).\nAnswer: -286*z + 5720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28586 + 48018. What are the prime factors of v?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 125791 + 6?\nAnswer: 125797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l - 15 + 15. Let j(z) = 3*z. Determine j(r(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 140, 2, 4, 5, 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(-24)*15\/9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -116*b**4*s**2 + 125*s**2 + s with respect to b.\nAnswer: -464*b**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.308 times 17.4?\nAnswer: 22.7592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 69\/15 + 2\/5. Let u = 17 + -6. Suppose -u*c = -13*c. Solve l + a*x - 10 = c, -3*l + 0*x = x - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + 99. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - -11. What is the units digit of ((-4)\/(-10))\/(1\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 36\/7053161 and 81\/494?\nAnswer: 183382186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 289474505 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -32 + -501a?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 6071208593627.\nAnswer: 6071208593626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17400*u - 17472*u = -34931*u + 2714 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 78868170 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-1)\/((-5)\/(-25)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -2281*k**5\/60 + 49*k**4\/12 - 7*k**3 - 15*k**2 + 9*k + 1. What is the second derivative of a(b) wrt b?\nAnswer: -4562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 7:47 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110)\/(sqrt(10)\/sqrt(2)))\/((sqrt(48)\/sqrt(4))\/sqrt(6)))**2 + (5 + sqrt(99)*2 - (sqrt(99) + (sqrt(99) + 0)*6)) + -4.\nAnswer: -15*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2063414077?\nAnswer: 173, 11927249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 + 19*u**2 - 19*u + 20. Let h be l(-20). Suppose 0 = -2*v - h*v + 6. Solve 5*k = 0, 3*d + 0*k - v*k = 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 140 = -5*r. Suppose -5*k = -5 - r. Calculate the highest common factor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4215 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 3865 = 2*j - 3868, 0 = f - 4*j + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25\/4 + 2*c**3 + 1\/4*c**4 - 10*c + 3\/2*c**2.\nAnswer: (c - 1)**2*(c + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -344 + 244. Let x = 100 + a. Solve 2*y - 8*y = x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -146*d + 1460. What is w(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zyy when three letters picked without replacement from {d: 1, k: 1, z: 1, y: 2, q: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -192*j + 11030*j**3 - 5*j**2 - 17114866 + 17114866 wrt j?\nAnswer: 66180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4 and -2263\/883 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -102, -337 in descending order.\nAnswer: 1, -102, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 + 2*d - 1. Let v(r) = 9*r**2 + 24*r + 37. Let g(x) = -4*s(x) - v(x). What are the prime factors of g(-16)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -270?  (a) -10\/11  (b) -18  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3 = -13. Let g(f) = -2*f**2 - 61*f - 186. Let y be g(-27). Solve 4*b - 11 = y*w, l*w - b = -5 - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - -2 - 0) + 6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 23\/7 - 8\/28. Let l = 0 + m. Calculate the remainder when 4 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*7\/34*(-4344)\/2534?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 26 - 6 = 0. Suppose 5*s = 4*r - 1, 4*s - d = -0*r + r. Factor -c**3 + 3*c**2 + 5*c**3 - 2*c**2 - 1 - c - s*c**3.\nAnswer: (c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -134, -1031, -3408, -7985, -15482, -26619?\nAnswer: -42116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 4:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 32 = -w + 2*g, -4*w = -3*g + 36. Do w and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26981 is divided by 465.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 2:03 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-6)\/9*45\/9\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13028 + -12177. Which is bigger: 5\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -709, -509, -169, 317, 955?\nAnswer: 1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 8*d + 14. Let c be b(-10). Let i be ((-32)\/(-12))\/((-4)\/c). Let a be -1 - ((-3)\/15 - 0). What is the nearest to 1\/4 in a, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -515512 + 21?\nAnswer: -515451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -109 + 101. Suppose 25 = -x + 6*x. What is the remainder when 34\/y*(-2 - 2) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 67*g - 156 + 22*g + 155 to the form p + l*g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 93, 430, 999, 1794, 2809, 4038?\n\"Answer: -q**3 + 122*q**2 - 22*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzzx when four letters picked without replacement from xxxxxzxzzxxxxxxx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-33)\/15 - -1. Let r = -4 - -4. Is r >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/5 - 5) + 3\/((-5130)\/1071).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 24 + 3*j - 23 - j. Suppose 0 = 3*m - 5*b + 3*b - 7, 4*m = 5*b + 21. Calculate i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 r when four letters picked without replacement from roffrororooof.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - 12\/(-2 - 2). Suppose -33 = -k*t + t. Suppose 3*i = t + 33. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 9 - 6 = 0. Suppose 3*v + w = 51. What is the highest common divisor of 176 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/7)\/t**(12\/7))**(10\/3)*((t*t\/(t\/(t\/(t*t\/t**2)*t*t)))\/t)\/(t\/t**7)*(t**0)**23 assuming t is positive.\nAnswer: t**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*x**2 + 4*x**2 - 11*x**2)*(x + x - 3*x) + x**3 - x**3 - 5*x**3 + (-3*x**3 + 0*x**3 + 2*x**3)*(2 - 2 - 1))*(-2 - 2*x + 7 + 5*x)*(3 + 3 - 7).\nAnswer: -9*x**4 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (99 - 86) + (-38)\/3. What is the fourth smallest value in 3, 15, y, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wjwlwelwjjllll. What is prob of sequence wwl?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/61034336 and 11\/128?\nAnswer: 244137344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -105  (b) -5  (c) 55819\/6  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**3 + 4*c**2 + c + 3. Let o(m) = -6*m**3 + 12*m**2 + 3*m + 8. Determine 8*g(x) - 3*o(x).\nAnswer: 2*x**3 - 4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 5*v**2 + 13*v + 27. Let g(d) = -3*d**2 - 9*d - 18. Let m(s) = 5*a(s) + 7*g(s). Is m(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 PM and 6:10 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3485\/34*(-56)\/(-10)?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*l - 372388 + 367558 = 0 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 14. Calculate the remainder when 22 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -2118?\nAnswer: 5\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 5*h**4 + 465*h**3 - 15*h**2 - 1405*h - 930 = 0.\nAnswer: -93, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9987.344km to nanometers.\nAnswer: 9987344000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -3 + 1 - -1. Let v(s) = 2*s**2 + 5*s - 9. Let h be v(-4). Sort -9, t, h in descending order.\nAnswer: h, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3352 smaller than 3038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -405099 and -4?\nAnswer: 1620396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-585))\/(2\/20).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - r + 29 = -2*t, -2*t - r = -1. Let s = t + 4. Is 3*-15*s\/(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.544255 millennia to years.\nAnswer: 544.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1155, 669, -261, -1857, -4341?\nAnswer: -7935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1300)*-3)**2 - sqrt(1300)) + sqrt(1300)*-3*4 + -3.\nAnswer: -190*sqrt(13) + 11698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2029673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 230547*s**3 - 2*s**2 - 4 + 4 - 222253*s**3 + (2 + 2*s - 2)*(4*s**2 - s**2 + 0*s**2) to g + k*s**3 + v*s**2 + u*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 344832232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 1968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6*f + 166 - 308 + 159. Let d(c) = -2*c - 6. Determine 8*d(s) + 3*z(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + 12102020211?\nAnswer: 12102020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 137325270 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cllhchlcchh. What is prob of sequence hcl?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 6. Let u be s(-7). Let j(k) = 9*k**3 + k**2 - 2*k + 1. Let m be j(u). Suppose -49 = -5*g - m. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 - 6*x + 8. Let n be f(-7). Let g be -5*(n\/1 + -2). Suppose -23 = -g*z - 3. Solve -21 = z*l - d, -13 = -2*d - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61903361 is divided by 1540.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o**3 + 6*o**2 + 1. Let f(r) = -6*r**3 + 5*r**2 + 1. Suppose 0 = -4*c - 5 - 19. Calculate c*f(t) + 5*u(t).\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 8:54 PM?\nAnswer: 7:18 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: Let m(t) = -42*t**2 - 45*t - 1. Calculate m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-64)\/30 - -2)*561885\/(-1594)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-894)\/(-1080) - 44\/55. Let t(o) be the third derivative of 4*o**2 + 1\/36*o**4 + 1\/180*o**6 - a*o**5 + 0*o + 0*o**3 + 0. Determine w so that t(w) = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0.5  (b) -3\/2  (c) 0.21  (d) 6\/5  (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 240*k = -1250*k - 65560 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9, -97, -249, -429, -619, -801?\n\"Answer: 3*q**3 - 41*q**2 - 4*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 - 3*q**2 - q + 3. Determine o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3502, 13977, 31386, 55687, 86838?\nAnswer: 124797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 3. Let j = 2.0005 - y. Round j to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1911) - 1*sqrt(1911)*5)\/((sqrt(24)\/sqrt(2))\/sqrt(4) - sqrt(27)\/(sqrt(9) + sqrt(9)*1)).\nAnswer: -56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427*q + 6362 = -472*q - 16113 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (253*v**3 - 60*v + 60*v)*(-23*v + 5*v - 3*v + 1) in the form o*v + w + g*v**4 + p*v**2 + n*v**3 and give n.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3210182 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-18) - 771\/(-189). Let h be (-174)\/56 + (-3)\/2. Let i = h + v. Sort 0.1, 0.5, i in decreasing order.\nAnswer: 0.5, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 31 + -26. Suppose -1 = -w*h - 21. Let d be (-3)\/(-6) + 5\/2. Put 4, d, h in decreasing order.\nAnswer: 4, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times 0.1549?\nAnswer: -1.8588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 739642 (base 13) to base 8\nAnswer: 12244247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -1510\nAnswer: -7550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-214925 - 2398*t + 214925)*(-t + 2*t - 2*t) to h*t + w + i*t**2 and give i.\nAnswer: 2398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -5*j + 3*j + 9, 2*j - 4*h = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 0*g = -4. Let b(m) = m - 3. Let c be b(5). Sort 5, c, g in increasing order.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*h - 3*f = 3, -12 = -3*h + f. Which is smaller: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 9*z**2 - 24*z + 58. Determine v(3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (3\/(-2))\/(-1)*400\/16 and 13\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12802641 divided by 15187\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9230 - -1974?\nAnswer: -7589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.226 + -2.499. What is q rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2317.\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12677.\nAnswer: 7, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of t**2\/2 + 14*t + 30. Let c be l(14). What is the third biggest value in -1\/5, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 5:14 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1231 (base 5) in base 11?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 205 = -7. Suppose 0 = 13*x - 363 + 129. Calculate the highest common divisor of t and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 + 11*v - 8. Let y be i(-12). Suppose y*o - d - 205 = 0, -o + 266 = 4*o + 2*d. 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 next in -1643, -1680, -1505, -1112, -495, 352, 1435, 2760?\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5728205 millilitres?\nAnswer: 0.0005728205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*p + 2*h + 16, h + 10 = p. Let v be 4\/(-6)*(1 - 88). Let d = v + -35. Calculate the remainder when d is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12165 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 49, 10, -126, -2\/5 in decreasing order.\nAnswer: 49, 10, -2\/5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, j: 1, l: 4, t: 1, q: 2}. Give prob of picking 2 q, 1 i, and 1 l.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23192*i**5 + 8*i**2 + 901 wrt i?\nAnswer: 1391520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.3084 times 13\nAnswer: 4.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b - s - 67 + 142 - 62, 2*b - 10*s - 14 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 3*w**3 - 339063*w**2 + 9579462117*w + 47905787535 = 0.\nAnswer: -5, 56513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1722592343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (26 - 26 - 38*x)*(x + x - 7*x) as i + h*x**2 + t*x and give h.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -9*z**3 - 27*z**2 - 25*z - 27. Let p(m) = -5*m**3 - 14*m**2 - 13*m - 14. Let b(k) = 7*p(k) - 4*u(k). Let f be b(-9). Which is smaller: 9 or f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 5 = 5*n, n + 11 = 6 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -8596 <= -1\/341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1336446 is divided by 7770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 221*h**2. Let k(z) = z**2 - 3*z - 45. Let d(j) = 2*j**2 + j + 15. Let y(m) = 3*d(m) + k(m). Determine y(c(i)).\nAnswer: 341887*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 5:10 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2 + a - 12*a**2 - 2*a**3 + 12*a + 0*a**3. Let l be p(-7). What is the greatest common divisor of 63 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*v - m, -2*v = -5*v - 2*m - 1. Is (-139)\/v - 1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172858023?\nAnswer: 3, 13, 17, 59, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 103*i - 104*i + 2*d - 18, 5*i - 3*d = -52 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**3 - 2*t**2 + 24*t + 2271. Give d(0).\nAnswer: 2271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 665 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (5\/(-20) + -4 + 3\/4). Let m(s) be the first derivative of 4*s + n*s**2 + 1\/3*s**3 + 3 - 1\/4*s**4. Calculate m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*m**2 - 7 + 4*m**3 - 4*m**2 + 2*m**2 with respect to m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 - -12. Let q(o) = -o - 1. Let p(r) be the second derivative of -1\/2*r**2 + 0 + 6*r. What is z*q(x) - 3*p(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(400)\/(sqrt(8)*2))\/((sqrt(320) + sqrt(20) + sqrt(20))\/sqrt(2)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppqqpqppqq. What is prob of picking 1 q and 3 p?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 9068*r - 4. Let q(l) = l**2. Give u(q(f)).\nAnswer: f**4 + 9068*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence brri when four letters picked without replacement from {b: 2, f: 1, i: 3, u: 1, g: 3, r: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 39 = -q, -3*q - 127 = 2*k + 60. Let i = -32 - q. What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 62\/221875 and 81\/17750?\nAnswer: 443750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*b - 3 = 0, -2*m + 5*b - 2 = 3. Let u(h) = 6*h**3 - 2*h**2 + 4*h - 3. Let i be u(2). Suppose m = 2*t - i + 5. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2830620 divided by 6?\nAnswer: 471770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/1472 and -89\/36.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*o + 395 - 269 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 1243?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(627\/(-38) + 17)*(0 - 22).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -31, -58, -83?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17624916 to the nearest integer?\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -54661.6  (b) 0.2  (c) -1\/4  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-27)*(-126)\/28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 13*w + 112. Let g be r(-8). Suppose -g*z + 12540 = 12*z. Is 51 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 5 - (2 + -7 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -3627\/610?\nAnswer: -3627\/610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.2 take away 0.4?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 20 = i, 1 = 3*x + i. Let q(k) = k - k**x - 5*k + 4*k. Let d(a) be the second derivative of -a**3\/3 + 2*a. Determine q(d(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r - 1. Let k(u) = -u**2 - 10*u - 22. Let i be k(-4). Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of -o**5\/120 - 3*o**4\/8 - 3*o**3\/2 - 30*o**2. Let g(h) be the first derivative of w(h). Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 5:44 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 2*d - 63172, 203*d + 15779 = a + 199*d. Does 45 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -704, -688, -670, -650, -628?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4615932 or -4615937?\nAnswer: -4615937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10527 is divided by 351.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 13\/(-3)) + 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 40801428707?\nAnswer: -40801428707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: 3250182 times 45\nAnswer: 146258190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 25 = 0, -2*r - 155 = -3*s + 389. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-40)\/(-15)*(-3)\/(-2). Let n(g) = g - 5. Let j be n(7). Find the third derivative of 2*i**b - i**4 + 3*i**4 + i**j wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-50))\/(28\/70).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737962.\nAnswer: 2, 197, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2432 - 793. Let j = z - 381. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-160)\/(-456) - (-6)\/19. Find p such that -2\/9*p + 4\/9 - c*p**2 + 2\/9*p**3 + 2\/9*p**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (293 - 298) + (26 - -1) + 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o - 18 + 18 - 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/7, -2047, -1, 3, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/1026 and 2\/481061.\nAnswer: 25977294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -41533.594 to the nearest 100.\nAnswer: -41500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*2*((-76)\/(-38))\/((-2)\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 63, 105, 133, 141, 123, 73?\n\"Answer: -y**3 - y**2 + 52*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -5.98, 2, -5, 6 in descending order.\nAnswer: 6, 2, -1\/7, -5, -5.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 1\/6, 4, -0.2053, -39 in increasing order.\nAnswer: -39, -0.4, -0.2053, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**2. Let r(y) = 5*y**2 - 3*y**2 - 7*y + 39*y**2 + 5*y**2 + 12*y**2. Determine r(m(d)).\nAnswer: 232*d**4 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -238 and 0.21.\nAnswer: -49.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -16140*c + 161374. Determine o(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.054 + -0.124. Which is the nearest to d?  (a) -0.2  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3452017904 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7956, 15913, 23870, 31827?\n\"Answer: 7957*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4820 - 4100. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 5:56 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.0126514.\nAnswer: -0.00253028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 47 = -2*y, 0 = -2*y + 2*s - s + 27. Let q(c) = 7*c**2 - 2*c - 1. What is the lowest common multiple of q(-1) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1569, -3127, -4647, -6111, -7501, -8799, -9987?\nAnswer: -11047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 38442277 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13\/4, -18\/5, -2\/9, -7, -5 in ascending order.\nAnswer: -7, -5, -18\/5, -13\/4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4239200 is divided by 977?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a + 8. Let k be 7 + 0 - (-9 + 12). Let w be i(k). Suppose 0 = 2*y - w*y - 2*l + 1584, -4*l - 1554 = -2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8351964 divided by 153?\nAnswer: 54588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, g: 4}. Give prob of sequence gdgg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/2 + 2533*p**3 - 3117552*p**2 - 230811840*p = 0. What is p?\nAnswer: -70, 0, 2568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 0.5, -4, 472.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -325.475184 to 0 dps.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - (1 + 4 - 0). Let i(j) = j**2 - 3*j. Let f be i(v). Suppose 0 = 4*a - f - 54. Calculate the remainder when 52 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(6\/5)*n**(-6\/11))**43 assuming n is positive.\nAnswer: n**(-1763\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2233 - 9 - (1 + 10)?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1550023 and 11675669.\nAnswer: 4391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5834*d**2 - 57*d - 29 wrt d.\nAnswer: 11668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 402246 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 689044 = 38*p - 34*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 8 - 142477*q + 142539*q)*(0*q**2 + q**2 + q**2).\nAnswer: 124*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - (-47 + 1 - -13)) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45 - 42. Suppose -3*u**5 + 40*u**4 + 6*u**y - 19*u**4 - 9*u**5 = 0. Calculate u.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1043, -2042, -3051, -4076, -5123, -6198?\n\"Answer: -a**3 + a**2 - 995*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -30169.2?\nAnswer: 30169.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 364480 and 5120.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**2\/c*c*c**(5\/7))\/(c**(-9\/7)*c**(-7\/2)) assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -0.3, -90\/18859, 50 in descending order.\nAnswer: 50, -90\/18859, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m + 18. Let j be x(15). Suppose 0 = -5*f - j*f + 160. Let a(h) = 9*h**2 + 2*h + 1. Let n be a(-1). Calculate the highest common factor of f and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 910976 and 1056?\nAnswer: 2732928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*j - 24 = 0, 0*x = -5*x - j - 78. Is 11 a factor of 12\/x + 845\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -256797, -256843, -256889, -256935?\nAnswer: -256981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o*o**0*o*o\/o**(-1\/2)*o*o**(-5)\/o**(-2\/7)*(o**(-5)\/(o**(-3\/2)*o))\/((o**0*o)\/(o**(2\/3)\/o)) assuming o is positive.\nAnswer: o**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -4 - 0)*(15 + 630\/(-36)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3 + 1117*n**2 + 18289*n - 182413 = 0. Calculate n.\nAnswer: -23, 7, 1133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.000394 - -0.036294. Let y = z - 0.0359. Which is the biggest value?  (a) -3\/2  (b) 0.028  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 7) to base 14.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2 - 5 = -3*v, 5*v - 6 = 2*c. Let g(l) = l**2 + 4*l + 3. Let n be g(-5). Let x = n + v. Calculate the smallest common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 5*b - 7*b. Let f be b - (-1)\/2 - (-43)\/2. Suppose 4*l - 16 = 0, 2*i - f = -l - 3*l. Solve 5*v = -p + i, p - 4*v + 8 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2310 (base 4) in base 14?\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**2\/5 - 1466588*v\/5 + 2933192\/5 = 0. What is v?\nAnswer: -366649, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 14*m**3 - 56*m**2 - 56. Suppose 7*s + 2*z - 9 = 12*s, -4*s - 4*z = -4. Let v(h) = -h**2 - 1. What is s*x(r) + 56*v(r)?\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 149838384, 299676767, 449515150, 599353533, 749191916, 899030299?\n\"Answer: 149838383*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40703?\nAnswer: 13, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 509 - -793?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1149, 20 in increasing order.\nAnswer: -9, 20, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -15. Let j be t\/(-1) + (1044985 - -15). What is j rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(1\/3)*w)**(12\/11)*(w**(1\/4))**(-19\/5))\/((w**(-1\/2))**14\/(w**1\/w)**(-2\/75)) assuming w is positive.\nAnswer: w**(1891\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20 and 1.9.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 227097 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3042541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-5)*12\/4. Let i = 16 - 17. Let q = -14 - -10. Which is the closest to i?  (a) r  (b) -0.1  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 56.475531s?\nAnswer: 0.0156876475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 6*m + 3. Let z be i(6). Calculate the greatest common factor of 24 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -7 - 53. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-10)*(2512 - 2522). Suppose -6\/5*y**3 + 12\/5 + 12\/5*y + 3\/5*y**b - 9\/5*y**2 = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 4)\/(-4*(-6)\/864). What is the highest common factor of 252 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1330 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*u + 3*u**3 - 31*u + 20*u + 61*u**3.\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 7  (b) 41  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*d = -u + 38*d - 11, 15 = 3*u - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nbnf when four letters picked without replacement from nnbnnmnfn.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 12\/7, -1, 1\/4 in decreasing order.\nAnswer: 12\/7, 2\/7, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1048 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 2*h + 44. Calculate u(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (((-4)\/(-2))\/(-2))\/1. Let u be 3 + (q + 2)*12. Suppose 7*h - u = 69. Solve -5*k = -k + h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4272387 * 7.\nAnswer: -29906709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13 - 19 + 9*s + 42 + 30*s + 21*s**3 + 50*s**2.\nAnswer: (s + 1)*(3*s + 2)*(7*s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 371549 or 371548?\nAnswer: 371549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35654 + 35724. What is the second smallest value in 0.11, -6, p?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -81*c**5 + 202*c - 202*c + (c**4 - c + c)*(3*c - 2*c + c) - c**5 - 4*c**5 + 4*c**5.\nAnswer: -80*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gceg when four letters picked without replacement from {c: 5, g: 8, e: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.7685265l?\nAnswer: 768.5265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315242 is divided by 78785?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of s**7\/14 - 3*s**5\/4 + 2*s**3 + 70*s. Let r(z) = 0. What is z?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -8*3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1336*l + 24 + 32 - 56 as p + x*l and give x.\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46996, 187985, 422966, 751939, 1174904, 1691861, 2302810?\nAnswer: 3007751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -72.8 - -70.8. Let x = -14 + 27\/2. What is the closest to x in 0, v, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 0 - (9 + 5 + -15) - -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 219*w - 10542. Calculate l(-71).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from hskhhcskvssc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-68)\/6*(-9)\/6. Suppose -44*j - 16 = -52*j. Suppose -j*a - 43 = -2*c + m, 2*c - 5*a - 48 = 0. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/((-27)\/9*(-3)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*h*k**4 + 2*h*k + h + 2*k**4 - 73*k wrt k?\nAnswer: -60*h*k**2 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-300)\/120)\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(2\/18*-3). Suppose 0 = -5*h + g + 27, -23 = -c*h - 0*h + 4*g. Let d = 8 - 2. What is the remainder when d is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 33370 - 3322?\nAnswer: 30046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7703 (base 9) to base 15.\nAnswer: -1a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 990 and 1870?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -13*c - 113. Let z be x(-9). Suppose 7*g = -2*n + 10*g + 1715, -z*n = -g - 3435. What are the prime factors of n?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of 16*u**3\/3 + 6*u**2 - 4*u + 24. Factor j(s).\nAnswer: 4*(s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 12:59 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aihn when four letters picked without replacement from {n: 1, c: 2, i: 2, h: 2, x: 7, a: 2}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 10 = -0*x. Let j(v) = v**3 + 3*v - v + x + 0*v**3 - 7*v**2 + v**2. Suppose 3*i - 2*r - 35 = 3*r, -r = -i + 9. What is j(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -183 + 259. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, u: 9}. Give prob of sequence puuu.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 542\/(-48) - 12\/9 and 55\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7017.8 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1399228 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 7*w = h - 127, -5*h = 3*w - 391. Let r = w - -69. List the prime factors of r.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -570*v + 1134 = -192 - 12924 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/10*(-84)\/315?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -119 + 760. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from peqpepppeqefqqeqppo.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(81)\/sqrt(3))\/sqrt(9)*5.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -0.006  (c) -2\/5  (d) 0.2  (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*w - 7 + 39 = 0, -2*g - 2*w = 0. Is g + (1 - 4) - -96 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12.087 - 1.257. Let k = o - -0.17. Let s = -10.8 + k. What is the smallest value in 0, 0.1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35271?\nAnswer: 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 272, 10, -5217, 0 in increasing order.\nAnswer: -5217, 0, 10, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ul when two letters picked without replacement from wppppwpplulwwpppp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 21*b + 15. Let u be c(-20). Let k(w) = -w**2 - 4*w - 1. Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 3 = -9*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*i - 96 + 96)*(6*i**3 + 5*i - 5*i) + (3*i + 2*i - 3*i)*(-2*i**3 - i**3 + 0*i**3).\nAnswer: 132*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 8*s - 4908. Suppose 2*y - s - 1654 = 0. Suppose 0 = m + 3*m - y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69322805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**4\/3 - 5*h. Let j be s(1). Let d be (-3869997)\/(-9) + j\/(-12). What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/15)\/(((-8)\/(-1))\/(-4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 352493 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36 is divided by 39*(-4 + 13\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgpnksp. What is prob of picking 1 n, 1 g, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-25)\/d*d*d**(-40))**27 assuming d is positive.\nAnswer: d**(-1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -6*h + 17. Let i(l) be the first derivative of -3*l**2\/2 + 8*l - 4281. What is -7*i(f) + 3*s(f)?\nAnswer: 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -459*u + 10 = x + 460*u - 917*u, 21*x - 10 = -2*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20832 divided by -32?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x*x\/((x\/(x\/(x*x**(-6)*x*x*x*x)))\/x*x*x*x)))\/x*x)**(-2\/103)\/((x**(-9\/2)\/x)\/((x**(1\/3)\/x*x)\/x)))**18 assuming x is positive.\nAnswer: x**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - 2*g - 2. Let x(h) = -3*h**2 + 5*h + 6. Let w be 2 + (-11 - -2)*-1. Give w*r(l) + 4*x(l).\nAnswer: -l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3164007279 to the nearest integer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9371 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of u**4\/12 - 7*u**3\/6 - 11*u**2. Let k be l(5). Solve -z = -k*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + 4*((-3*sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77)))\/((sqrt(11) - sqrt(275))*6).\nAnswer: 19*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 11*n**2 + 2*n - 1. Let c be l(1). Suppose -c - 7 = -m - 3*f, 21 = 4*m + f. What is the units digit of 0 - 5\/((-10)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-10))\/(18\/(-30)) - -367. Let l = 381 - x. Solve 5*j + l + 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -722 in -18, 2\/9, -2\/9?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 0.3  (c) -1\/6  (d) -46  (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3072*q - 3100*q - 6188 = 0. Is q at most as big as -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + -15 + 14 + -6 - (0 - 6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001743739 to six dps.\nAnswer: 0.001744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -56, -28 in descending order.\nAnswer: 1, -4, -28, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*i - 44 = 37*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c. Let i(l) = 769 + 46*l + 42*l - 85*l. What is w(i(r))?\nAnswer: 3*r + 769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 792351 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 432 and 0.0630945034.\nAnswer: 432.0630945034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**6\/120 - r**5\/15 + r**4\/4 - 7*r**3\/6 - 3*r**2 - 1. Let b(v) = v**2 - 32*v - 110. Let c be b(35). Determine q(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.8891706ml?\nAnswer: 0.0008891706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-13 + 21 + (-23 - -15) - 53).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14923077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -1\/15*t**7 - 73\/30*t**5 - 3*t**2 - 28\/3*t**3 - 37\/6*t**4 + 49*t - 1\/336*t**8 + 0 - 67\/120*t**6. Factor r(k).\nAnswer: -(k + 1)*(k + 2)**3*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6036615 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9908*b**3 - 4*b**2 - 1332249 wrt b.\nAnswer: 29724*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3111103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (28 + -22 - 40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 150632 (base 7) to base 10\nAnswer: 29129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003986 to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of h**5\/20 - 7*h**4\/4 - 17*h**3\/6 - 9*h**2 + 36*h. Is l(22) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32100 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -0.05, -2\/7, 8, 2178 in decreasing order.\nAnswer: 2178, 8, 2\/7, -0.05, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1, 4, -0.07242, -1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + z - 3*z)*(3 - 3 - 3*z) + 0*z**2 - 2*z**2 + 4*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 15 = 2*p. Let z(h) = 2*h + 8. Let j be z(-4). Suppose j = p*v - 9 - 41. What is the smallest common multiple of 14 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1235 - 265. Is 51 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 4072.\nAnswer: 36648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 67841.9 rounded to the nearest 100?\nAnswer: 67800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 7:09 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) 3  (c) -2\/7  (d) -45\/16  (e) 0.5  (f) 109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o**2 + o. Let r be u(-1). Suppose -j + 4*q - 15 = r, -3*q + 15 = 0. Solve -4 = 2*g + j*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/3 - (-1677)\/(-9). Let t be 18\/(-63) - s\/(-7). What is the units digit of t\/(-12)*192\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -4. Suppose 5*a = o + 125. Suppose -4*r + 76 = z, r - z + 3*z = a. Calculate the greatest common factor of r and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 6:15 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 721108 is divided by 55469?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 9*n**2 + 7*n - 9. Suppose 12*h - 10*h - 16 = 0. Calculate o(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -39*u**4\/4 - 318*u**3 + 6087*u**2\/4 - 2193*u + 999 = 0.\nAnswer: -37, 1, 18\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.1, -0.3, 2\/21, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16859.\nAnswer: 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -10 - 52*c - 31 + 219*c. What are the prime factors of n(4)?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 5. Let s be (l + 2)*-1 + 1. Solve -u + 6*u - s = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590393 is divided by 118036?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27796*636.\nAnswer: -17678256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = l - o + 2*o, -36 = 5*l - 2*o. Let u be (3\/l)\/((-21)\/14). What is the nearest to u in 0.1, -4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5699 + -4912. Which is smaller: j or 784?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 223*c**2. Let h(v) = -5*v**2. What is l(h(a))?\nAnswer: 5575*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 9:07 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 18 - 4997c?\nAnswer: -49964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 561*y**2 - 13*y + 20. Let m be t(2). Let f = m + -2236. What is k in -3\/2*k**f + k + 1\/2*k**4 + 0*k**3 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.01 - -0.41. Let t = -78 - -74. Sort -0.3, b, t in descending order.\nAnswer: b, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + ((-1)\/(-3))\/((-10)\/90). Suppose 2*p + 10 - 4 = h, -2*p = -t - 6. Sort t, 1, 5.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 7:18 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 + q**5 - 2*q**2 + (-6*q**4 + 4*q**4 + 5*q**4)*(3 - 3 + 2*q) + 4*q**5 - q**5 + 2*q**5 + (0*q**3 + 0*q**3 - q**5)*(2 + 0 + 0)*(2 + 16 + 2).\nAnswer: -28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z**3 - 15*z**2 - 43*z - 16. What are the prime factors of d(-12)?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 155?  (a) 1  (b) 1\/9  (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -275?  (a) -5\/4  (b) 3\/2  (c) -0.5  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00711568 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 126*k - 1435 = 129*k, 4*a = 4*k + 5708. List the prime factors of a.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**3\/3 + 2*v. Let m(b) = 7*b**2 - 12. Determine m(d(l)).\nAnswer: 28*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10894, 10739, 10566, 10369, 10142, 9879, 9574?\n\"Answer: -r**3 - 3*r**2 - 139*r + 11037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 3:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 73*x + 31. Let v be u(2). Calculate the greatest common divisor of 118 and v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 112, -1 in descending order.\nAnswer: 112, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -909*k**3 - 6445*k + 6445*k + (0 - k**2 + 0)*(0*k - 3*k + 2*k) - 3*k**3 + k**3 + 4*k**3 + (-5*k + 3*k - 2*k)*(-3*k**2 + 3*k**2 + k**2).\nAnswer: -910*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -0.165, 2\/7, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*z**2 + 15284*z - 3932984 = 0. What is z?\nAnswer: -4063, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66 + (-70 - -122 - 61)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5\/(-2))\/(2\/(-4)). Let v(p) = -2*p + 12. Let y be v(t). Find g, given that -1\/2 - 1\/2*g**y + g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101100110010100111111010 (base 2) in base 8?\nAnswer: 54624772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 600633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*j*l**3*y + 4*j*l**3 - 5*j*l**2*y - 3*j*l*y + 2*j + 105*l**2*y wrt l?\nAnswer: 126*j*y + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -44289 divided by 9\nAnswer: -4921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0317715 and 0.44.\nAnswer: 0.4717715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v. Let f(m) = -m + 4. Determine f(s(y)).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -487*v**3 + 144*v**3 - 15*v**2 + 15*v**2 + 339*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -32, 33, -2, 4 in increasing order.\nAnswer: -32, -2, 0, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (2*sqrt(7) + 5)**2)*2 - (sqrt(7)*2 + -4 + sqrt(189)\/sqrt(3) + -1).\nAnswer: 35*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 86960?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - -2182?\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of 5 - 3*m**3 + 4*m**3 + 0*m**3. Let r(d) = 4*d**2. What is y(r(w))?\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4843.45 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2699268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkdtvdkddidkcddk. Give prob of picking 1 v, 2 k, and 1 t.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -548 - -550. Suppose -2*n + 5 = 5*s - 4, -r*n = s - 5. Which is the third biggest value?  (a) -0.1  (b) 4  (c) s  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 11 = -15. Let l be 20 + -3 + -4 + (-16)\/r. Solve 3*i - l = z, -4*i + 5*z + 37 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -35 + 47 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -5*k**2\/2 - 5*k + 2. Let f be l(-6). Suppose 270 - 130 = 28*r. Calculate the highest common divisor of f and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74287119 to the power of 1\/2, to the nearest integer?\nAnswer: 8619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 53260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2075*o + 89 + 2016*o - 89.\nAnswer: -59*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*j - 83*j + 572 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(-72)*-9)\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26 - -10. Let l = 19 + j. Solve -2*i + 5*m = 14, -4*m = -l*i - 0*i - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 244140\/7 + -34877. Which is the closest to 30?  (a) p  (b) -1\/9  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000443144 (base 5) in base 15?\nAnswer: 28d419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3)**23\/(s**(6\/7)\/s*s*s*s**(-16)*s) assuming s is positive.\nAnswer: s**(575\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106136?\nAnswer: 2, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -21*c**2 - 2. Let q(r) = -2*r. What is s(q(x))?\nAnswer: -84*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o**3 + 13*o**2 - 37*o - 148. What is j(-6)?\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 46\/(-110)) + 94\/235. Let z be (-1)\/(-2)*44\/(-99). What is the nearest to z in 1\/6, b, 1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1230718 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -4, -60040\/13, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 3:16 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32002 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337686, 337695, 337702, 337707?\nAnswer: 337710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*v**2 - 5 - 33*v**2 + 34*v**2 - 9*v**3 to d + t*v + y*v**2 + j*v**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 16*p + 13. What is the tens digit of o(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -498*m = -503*m - 3*y + 31, y + 14 = 5*m + 3*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 + 5*s**2 - 15*s + 2. What is f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1362 - 608 + 875)*(3 - 4 + 0)*(3 - 3 + m) to b*m + h and give b.\nAnswer: 1095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/55 - 94430\/(-10450)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 270 and 300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 - -6. Let k = o + 24. Suppose -8*c + 99 = 25*c. Solve -c*x = -0*x + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 161 - 37 - 43 - 33 + 14*l**2 + 29*l - 40. Let z(t) = 9*t**2 + 19*t + 5. What is -5*m(s) + 8*z(s)?\nAnswer: 2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from uqqkruquqfq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10498544 divided by -656159?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*w - 0*f + 183, -5*w = 3*f + 510. Is (2\/11 - (-58131)\/w)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8a5a + 0?\nAnswer: 8a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10898058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cwufcfqqcwvw. Give prob of picking 2 c and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -1447*m**3 - 6*m**2 + 4*m + 4. Let h(l) = -2*l**3 - 2*l**2 + 2*l + 2. What is 2*h(y) - q(y)?\nAnswer: 1443*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (4 + -9 + 9 - 19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/24)\/((-21)\/(-1946)) and ((-7)\/8)\/(36\/936).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**2\/11 - 6096*p\/11 + 24352\/11 = 0?\nAnswer: 4, 3044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8\/5  (b) -6  (c) 0.2  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -282*q**2 - 1697*q - 42. Calculate d(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**5\/60 + k**4\/24 + 5*k**3\/6 + 2*k**2. Let r be l(0). Let x(a) = a**3 - 5*a**2 + 3*a - 4. Does 11 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 7:53 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = w + 10, 0 = 2*w + 4*d - 3*d + 20. Let h be (-1)\/w - 2\/10. Sort -1, 2, h.\nAnswer: -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 29*k**2 + 3*k - 1. Is y(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 1795974*o - 1795968*o - 42, 0 = -3*d + 4*o - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -82*c**2 + 12*c - 1 wrt c.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a + 22. Let m be 2 + (-74)\/(-14) - 10\/35. Let r be y(m). Solve 2*p - 2*k = -r, -2*p - 3*k = k + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*k**2*n**2*p - k**2*n*w + 2*k**2*n + k**2*p - 26*k*n**2*p*w - k*n**2*w + k*w - n**2*w wrt k?\nAnswer: 16*n**2*p - 2*n*w + 4*n + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vqd when three letters picked without replacement from rvvfdrrrq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -6*p + 25833110. Let x(w) = 2*w**2. Determine q(x(y)).\nAnswer: -12*y**2 + 25833110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 4, -1\/15, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*k - 10, 2*k = -2*r + k - 2. Solve r = j - 3, 2*m + 4*j = -2 + 14 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -152258851*0.4.\nAnswer: -60903540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - l + 35 = 3*l, 4*m = 3*l + 30. Suppose -187 = 2*j - 2*r - 219, 4*j = r + 61. Calculate the smallest common multiple of m and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15123 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, p: 1, g: 2, k: 5}. Give prob of picking 1 d, 1 p, and 2 k.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/30624 and 73\/68617248.\nAnswer: 754789728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 21 + 5 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 4:46 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 40045 + 81673. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35522 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(32) - sqrt(800)*6) + sqrt(512) + 0))**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 86514.14 millilitres?\nAnswer: 86.51414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 - -31. Let c = -3 + y. Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, e: 4, y: 5, o: 1}. What is prob of picking 1 o, 1 e, and 2 h?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11731518 divided by 1.\nAnswer: 11731518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1171191062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**4\/7 + 231108*d**3\/7 - 924513*d**2\/7 - 2542338*d\/7 - 1386720\/7 = 0. Calculate d.\nAnswer: -77040, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of 0*d + 0 + 1\/6*d**5 + d**2 + 0*d**3 + 0*d**6 - 1\/14*d**7 + 0*d**4. Find the third derivative of p(f) wrt f.\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -w**4 - 13414067*w**3 - 8*w**2 - 368*w - 171012.\nAnswer: -12*w**2 - 80484402*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of -22*s**3\/3 - 287. Let d(w) = -11*w. Calculate d(t(h)).\nAnswer: 242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 8 = 5*w, -17 = -4*w - 1. Let i be o\/14 - ((-6)\/(-2))\/(-1). Suppose 55 = -i*h + 4*h - 3*c, -h - 3*c = -41. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60 + 0.122.\nAnswer: 60.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 59*m**2. Let l(g) = 103874*g**2 + 3. Determine l(x(z)).\nAnswer: 361585394*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b - 2*x - 12467 + 12461, 0 = b - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 2 - 1 - 2 - -2. Let a be ((-7)\/(98\/(-4)))\/(o\/14). Suppose -492 = -3*v - a*b, -3*b + 4*b + 667 = 4*v. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 9:23 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5653527 or 5653528?\nAnswer: 5653527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 5. Suppose l - 6*l = m. Suppose l = -4*q - 6 + 42. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 6497\/6 + (-10)\/(-60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1170*75\/1350 - 21\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -983756\/7 + 140807. Let v = a + -272. What is the common denominator of v and -18\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**2 - 473*j - 16778. Determine s(-93).\nAnswer: 1264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*t, 4*p - 2*t - 61 = -3*t. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*n**5 - 2*n**2 - 182*n wrt n.\nAnswer: 360*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/876 and (-327)\/(-18) - (-200)\/60*6\/4.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lggrryzql. Give prob of sequence rqy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - z + 1. Let p(n) = -13*n**2 - 4*n + 5. Give 5*g(w) - p(w).\nAnswer: 18*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (1 + sqrt(175) - sqrt(175))*-4)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -0.01, 4 in decreasing order.\nAnswer: 12, 4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 44075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 - 29. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 19*b**2 + 14*b + 772. What is i(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 83202442.1 to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 792 a factor of 2422335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 71292 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 2*g**4\/3 + 2740*g**3\/3 + 882050*g**2\/3 - 12878000*g + 132540000 = 0.\nAnswer: -705, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3606587966 to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6386, -6422, -6480, -6554, -6638, -6726, -6812?\nAnswer: -6890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*k + 23 - 23)*(32 - 6*k**2 + 275794*k + 5*k**3 - 275794*k) in the form g*k**3 + n + z*k + x*k**2 + p*k**4 and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {i: 10, u: 3, r: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -153*b + 1339*b - 580*b + 475 wrt b.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 214450, 214462, 214474, 214486, 214498, 214510?\n\"Answer: 12*x + 214438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-79)\/((-158)\/(-112)) + 94 + -127\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17 - 13*s**2 - 13 + s**2 + (1 + s - 1)*(12*s - 19*s + 11*s).\nAnswer: -8*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62759998.\nAnswer: 2, 7, 73, 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.69574*-0.1\nAnswer: -0.069574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 + -3. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 + 13*m**2 - 12232 - 11*m**2 + 12244.\nAnswer: -m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 864 and 33912?\nAnswer: 135648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1637902906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 4*y + 3*a + 69, y - 5*a + 46 = 0. Let o be 1\/((y\/(-162))\/7). Let i = o - -18. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 - 0.00842?\nAnswer: -93.00842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 6:08 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.978817 decades in months?\nAnswer: 117.45804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 1*0\/5. Suppose 8*f - 21 - 11 = p. Suppose f*m - y - 60 = 0, -2*m - 5*y - 17 + 47 = 0. Calculate the remainder when 40 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 5, j: 1, k: 2, e: 1, y: 7}. Give prob of sequence ype.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 294 and 324984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**2 + 4*g**2 + g**2. Let q(u) = 3*u - 5. Suppose -7*m + 4*m + 15 = 0. Let h(k) = k - 2. Let y(x) = m*h(x) - 2*q(x). Calculate y(n(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z - 35 + 45 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*k + 14 + 82 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14000135 + 1?\nAnswer: 14000136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2154467328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = 4*s + 44, -8660*y + 90 = -8662*y - 5*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10.8 in 17, -12\/5, 0, 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 744654231 and 939.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = o + 9*o. Let m be (-1*(o - 8) - 6) + 10. Suppose m*w - 10 = 30. Solve -n - w = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cggdgmgccgcgg. Give prob of picking 2 g.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7326 and 7569386.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 23*g**2 + 39*g - 264. Let j be z(-26). Calculate the greatest common factor of j and 4625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218665292101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*8 + 2 + -6. What is the derivative of 0*o + z*o - 6*o + 11*o + 5 wrt o?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**2 - 18*o**2 + 18*o**2 + 7*o**3 + 5*o in the form r*o**2 + g + p*o + c*o**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1034011831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.6 - -0.6. Sort b, 1\/8, -2\/5 in descending order.\nAnswer: 1\/8, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*y - 3 + 6 - 3.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -17*c + 2 - 5 + 20*c. Suppose -3*z + 55 = 5*j - 8*z, -24 = -4*j - z. Suppose -j = 4*v - 23. Give f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -2, 40, 102, 178, 262?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 + 28*v**2 - 31*v - 19. Let g be p(-15). Sort 5, g, 2, -6.\nAnswer: -6, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3329.\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*d**2 + 96*d**2 - 11*d**2)*(-2*d - 6 + 2 + 1)*(d + 2*d - d).\nAnswer: -392*d**4 - 588*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -27  (b) 12  (c) -1\/6  (d) 0.5  (e) 10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 15*o**3 + 13*o**2 + 56*o + 5. Let u be j(-12). Let t = u + 1730149\/70. Find the common denominator of -27\/4 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -49444909 and -49444910 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -42 >= -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2573103 is divided by 214418.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1100) - -3*-1*sqrt(11))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(1\/35))**(-36) assuming k is positive.\nAnswer: k**(-1224\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 420, 26, 1, 0, -0.7, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 2636*i - 2636*i + 1. Let w(m) = -4*m**3 + 12*m**2 + 12. Suppose 2*g + 24 = 4*g. Calculate g*y(a) - w(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -203, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 - h**2 - 3. What is o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5834 - 5886. Suppose -8*k + 2*k = 0. What is the biggest value in b, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 49325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -330 * -2\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, e: 2, t: 1, o: 1}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 27\/3349  (b) -9\/10  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - 2*s + 3*s)*(2 + 1 - 2) - s - 2*s + 5*s + (3 + 1 - 3)*(1 + 5 - 3)*(-18 + s + 18).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 12*y**2 - 19*y + 1. Let o be a(-2). Is o >= -23\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 45\/20 + (-2)\/8. Suppose j + 4*p - 3 = 3*p, -h*p = 3*j - 4. Let k = -7 + 2. What is the second smallest value in j, -1\/7, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 601\/60 - 484\/15. What is the common denominator of p and -95\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 2*b + 381 = 385, 2*d - 3*b + 38 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - (-26896)\/(-697))*-34.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 13 = -m. Suppose b - 126 + m = 0. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + k**2 - 1. Let w(v) = -32*v**3 - 24*v**2 + 24. Let i = -3229 - -3325. Determine i*u(o) + 4*w(o).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1794921 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7425*a + 15045*a + 1 - 7433*a to the form x + i*a and give i.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 6*g**3\/11 + 52180290*g**2\/11 + 521802354*g\/11 + 469622070\/11 = 0.\nAnswer: -8696705, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -565 - 604 = 117*g - 116. Sort 1, g, -2 in ascending order.\nAnswer: g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1847178*w**2 - 238*w - 22126 wrt w?\nAnswer: -3694356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -399.56388932+4\nAnswer: -395.56388932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -207557 divided by 207557?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tcqq when four letters picked without replacement from tccqqcccqt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 21*k - 60180 = 14262. What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8367562 decades to centuries.\nAnswer: 0.08367562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 624 divide 6563232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 - (-92)\/(-20))*(-63 - -83). Let g(k) = k**3 + 9*k**2 + 4*k - 6. Let l be g(-7). Calculate the greatest common divisor of v and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/8 + (-6)\/(-4). Suppose -u*f - 14 = -v, 0*f = -2*v + f + 43. Calculate the highest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-24))\/((-5)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(13\/6)\/(c**(3\/10)*c))\/(c*c**(-1\/8)*(c**(-9)*c)\/c))**(-19\/5) assuming c is positive.\nAnswer: c**(-20501\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 23270579 to the power of 1\/2, to the nearest integer?\nAnswer: 4824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 + 11*s**2 - 27*s - 2. Calculate p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -1, 37\/7 in descending order.\nAnswer: 37\/7, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 21 + 20. Let l be 2144\/4221 + k + (-5)\/(-7). Which is the nearest to -1\/3?  (a) l  (b) 5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/26640 and 20\/9?\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -18 - 3. Let l(r) = -r**2 + 10*r - 9. Let i be l(z). Let f = -7 + i. Solve -4*t + 19 + f = 4*s, -2*t = 5*s - 27 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2 = -2*x. Let w be 5 + -4*4\/(-16)*-1. Suppose -6 - x = -w*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w - 9. Let z(t) be the first derivative of t**2\/2 + 9*t + 2. Let x(a) = -2*b(a) - 3*z(a). Let h = 463 - 458. Determine x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**3\/4 + 21*r**2\/4 + 45*r\/4 + 27\/4.\nAnswer: 3*(r + 1)*(r + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -156 divided by -26\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3131878841?\nAnswer: 7, 13, 34416251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 9:07 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(-2)*(-20)\/25. Suppose -3*x = 3*y, -r*y + x = -4*y. What is the smallest value in y, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 26*j + 12 + 26*j - 18175*j**2.\nAnswer: -18175*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 180.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7018009763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -380*s**2 - 345 wrt s?\nAnswer: -760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1222431 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) - (4 + 1 + sqrt(2299)) - (sqrt(2299) - (-5 + (-1 + sqrt(2299) - sqrt(2299))**2))) + 2 + (-2*(-2 + -2*(sqrt(2299) + -2*sqrt(2299))))**2.\nAnswer: -363*sqrt(19) + 36793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(450)*-3 + (sqrt(2178)*2 - sqrt(2178)))\/(sqrt(60)\/sqrt(90) + sqrt(6) + sqrt(72)\/(sqrt(36)\/sqrt(3))).\nAnswer: -12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 122*n - 1439. Calculate w(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 168 + 156 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 387*i**2 - 7*i**3 + 7*i**3 - 384*i**2 + 4*i - 4 - 3*i**3. Calculate y(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4+10475.4\nAnswer: 10471.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -2*j - 234 + 179, 0 = b - j - 3*j - 55 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -702*t + 705*t + 0*t**2 - 3*t**2.\nAnswer: -3*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 177 and 173 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = -8*k - 161. Let d be k\/(-5) + 14\/(-35). Determine f, given that d*f**3 - f**3 - 15*f**3 - 2*f**4 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/496 and 23\/14322.\nAnswer: 114576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**5 + 1328988*t**4\/13 + 7871062*t**3\/13 + 14106228*t**2\/13 + 7359696*t\/13 = 0. Calculate t.\nAnswer: -51109, -3, -2, -12\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -2)\/((-5)\/(-20)). Suppose n*u - 231 = -w + 28, -3*w + 249 = 4*u. Let t = u + -64. Let j(a) = a**2 + 2*a - 1. What is j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3 + 484854*w**2 + 19591737924*w + 117532973448.\nAnswer: 3*(w + 6)*(w + 80806)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 5*u + y - 30, 3*y - 15 = 0. Suppose 49*b + u = 51*b. Solve -5 = -b*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = g - 6 - 1, 2*r = 6. Let a = 91 - 56. What is the remainder when a is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -141.11 and 0.2.\nAnswer: -28.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 389048 minus 34.2?\nAnswer: 389013.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -204 + 259. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8.7 + -119.7. What is the second smallest value in 4, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18424347647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*w**3 + w - 18*w**3 + 10*w**3 + 1 as d*w**2 + q*w**3 + s + x*w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*x + 267 + 343 = -1119 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 5*s - 1. Let p(n) = -n**3 - 3*n**2 - 3*n - 3. Let j be p(-2). Let r(t) = t - 1. Let u(f) = j*m(f) + 4*r(f). Calculate u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14422202 (base 5) in base 15?\nAnswer: 30c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -121049 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36339812*h**4 - 3*h + 1697115.\nAnswer: 436077744*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 181061 + -102358. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 426 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2144019 + 7655981. Round t to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 137d1d4 (base 14) to base 15\nAnswer: c695ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -10. Let q(l) be the second derivative of l**5\/20 + l**4\/6 - l**3\/6 - l**2 + 3317*l. What is q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 43 and 1763.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7\/9, 0.1, 1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3765.03 + 3736. Let c = 3.31 - s. Let q = -32 + c. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.9, 12, -0.2, -47\/2 in descending order.\nAnswer: 12, 0.9, -0.2, -2, -47\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.23 + 0.03. Let d = s + 0.15. Round d to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6 - 22 - -4)\/((-1)\/(-6)). Let b = w - -154. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004046242 rounded to five decimal places?\nAnswer: -0.00405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 47578 bigger than 47336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -463934437 times 5\nAnswer: -2319672185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -70*f + 1084. Give t(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**4 + 264*y**3\/5 - 172*y**2\/5 - 264*y\/5 + 162\/5 = 0.\nAnswer: -27, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*f**2*v + 191566148*f**2 + 84*f*v + 319428*v wrt v?\nAnswer: 2*f**2 + 84*f + 319428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**6\/40 + 2*h**5\/15 + 13*h**2. Find the third derivative of v(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*x + 64 = -323 + 79 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26372736 by 45786.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -832*b + 3*b**2 + b**3 + 839*b + 4*b**2 to y + v*b**2 + r*b + j*b**3 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3534532 is divided by 17075.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-260)\/65*(1713\/750 - 0 - 2). Is i bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115769\/48 - 2413. Let f = -9930 - -119233\/12. What is the common denominator of f and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 431051, 1724197, 3879433, 6896753, 10776151, 15517621, 21121157?\n\"Answer: -d**3 + 431051*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -385 divided by -77?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 316374, 633205, 950038, 1266873, 1583710, 1900549?\n\"Answer: b**2 + 316828*b - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 + -2 - (-6900 + 6998)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 389, 384, 377, 368, 357?\n\"Answer: -b**2 - 2*b + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qhh when three letters picked without replacement from {e: 2, q: 5, h: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -819 + 823. Let a(g) be the first derivative of 9\/5*g**5 + 0*g**u + 0*g + 1\/3*g**3 + 0*g**2 - 8. Find the third derivative of a(b) wrt b.\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1221\/(-55)*5\/1. Let d = p + 155. What is the highest common divisor of 110 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 232 = -2*r - 0*q, 556 = 5*r - q. Suppose d = 4*b + 5*d - 196, 3*b - 4*d = r. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (((-12)\/(-7))\/(-3))\/(30\/(-35)). Sort z, 2, 4, 3.\nAnswer: z, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 + 44761?\nAnswer: 44770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 1. Let r(o) = -48103*o**2 + 20*o - 23. Let l(w) = -r(w) - 5*z(w). Let q be l(17). Round q to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6632137, 6632131, 6632135, 6632155, 6632197, 6632267, 6632371?\nAnswer: 6632515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114)\/(sqrt(6) + sqrt(6)*2 + sqrt(6) + sqrt(6)) + 0 + sqrt(19)*-2 + sqrt(19))*-6*-6 + -4 + 1)**2.\nAnswer: 864*sqrt(19)\/5 + 394209\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -229113a - -7a?\nAnswer: -2291080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of 5*d**4\/3 + 4*d - 7. Let o(k) = k. Give i(o(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 84768 by 16.\nAnswer: 5298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 2\/5, 3\/4, -1.\nAnswer: -1, 2\/5, 3\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d\/d**(-2\/13)))*d**4\/d)\/((d\/d**(5\/3))\/d*d**(-1\/8)*d) assuming d is positive.\nAnswer: d**(1543\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express c**2 + c**4 + 6*c**2 + c**3 - 5*c**2 - 8*c - 2 - 4*c**2 + c**2 as d*c**3 + m*c + n*c**4 + l + t*c**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28.2 + 29. Let n = 0.1 - 0.1. Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -348*u - 275*u + 732*u as o + c*u and give c.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 29144000 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 251102911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*a + 37 - 133 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 4*b - 3*c, 4*b - 5*c = 192 - 229 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y*y**2)\/y)**(-3\/25))**(-43)*((y*y*y**(-1\/3)\/y)\/y**(-1\/8))**(-2\/43) assuming y is positive.\nAnswer: y**(199217\/12900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of 7*a + 0 - 5\/21*a**4 + 1\/147*a**7 + 1\/7*a**5 - 1\/7*a**2 - 1\/21*a**6 + 5\/21*a**3. What is i in w(i) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7.357, 0.2, -25, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.183 - -0.243. Let q = 2 + r. Let x = 0.06000033 - q. Round x to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 33, 2\/19, 1\/381, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 62 - 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/90*-10*5\/20?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99701, 99693, 99683, 99671, 99657, 99641, 99623?\nAnswer: 99603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/4 - (-36)\/8. Let c(l) = 2*l - 4. Let a be (-175)\/55 - ((-600)\/(-88) + -7). Let r(i) = 2*i - 5. Calculate a*r(q) + o*c(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = k - 3*m, 0 = -k - 5*m - 5 + 11. Let v = -1 - -20. Let j = k + v. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5970732032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15 - 6\/(-9)*6\/4. Solve 3*q = -o + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 15 = -n - 2*n, 3*q + 5*n = -7. What is the second biggest value in -0.1, 4, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 4*c - 6. Let n(t) = t - 1. Suppose -6 = -f - 1. Determine f*n(y) - q(y).\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1370 is divided by 281?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -1080*z + 155541. Give l(144).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/9  (b) -6  (c) 1\/6  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 263588172 to the power of 1\/2, to the nearest integer?\nAnswer: 16235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*n**4 - 31*n**4 + 13*n - 3*n + 3*n wrt n.\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 272, 609, 1092, 1727?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**4 - 537690*o**3 - 1075390*o**2 + 537690*o + 1075388 = 0.\nAnswer: -2, -1, 1, 268847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-22) - 388\/44. Let b = o - -13. What is the derivative of 0*c**3 - 4 + 1 + 3*c**3 + b wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1176 and 9114.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) 20  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 42*t - 50 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1104\/(-660) + (-105)\/(-75).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**(-37\/4)*(t\/(t**(-1)*t))**(8\/5))\/(((t**(-4)\/t)\/(t*t*t\/t**(-3\/4)))\/((t*t**(-5))\/(t\/(t\/(t**(-6)*t)*t)))) assuming t is positive.\nAnswer: t**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 53471784 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58939435?\nAnswer: 5, 11787887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -136\/41 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 - -77\/2. Suppose 1\/2*l**4 - 3\/2*l**5 + l + j*l**3 + 0 - 9\/2*l**2 = 0. Calculate l.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1991*q**2 - 120 + 1991*q**2 - 35*q**3 - 8*q**3 to t*q**2 + j*q**3 + p*q + c and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 + -23. Let a be (7\/196)\/(u*2\/127). Let f = -5\/98 - a. What is the second biggest value in -2, -2\/7, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23357 is divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rdrkkrrdrdk. Give prob of sequence kd.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51 - -254.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u + 2*u**3 + 6 + u**3 - 4*u**3 + 7*u**2. Let z be 1\/(-4) - (-148)\/16 - 2. List the prime factors of d(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f*f**(2\/11))\/f)*f**(2\/9)*(f\/f**(-1\/4))**(-21\/2))\/((f\/(f*((f*f**(-2\/7)*f)\/f)\/f))\/f**(4\/3))**(-45) assuming f is positive.\nAnswer: f**(-328357\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 11:30 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 18. Find the third derivative of 0*s**4 - s**4 - c*s**2 - 8*s**2 + 4*s**2 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -182, -189, -198, -209?\n\"Answer: -i**2 - 4*i - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -48d1c - 223?\nAnswer: -49141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -4*h**3 + 421436*h**2 + 52319568*h = 0.\nAnswer: -124, 0, 105483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*c**2 - 3*c**2 - 2 - 3*c**2 wrt c?\nAnswer: -26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 0*z = -2*z + 10, 2*v + 4*z = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*j - 3*j - 8. Let k(d) = d**2 - 8*d + 9. Let x be k(7). Suppose j*g + x*g = 40. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*12\/(-297))\/((-90)\/(-81))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of 6*r**4 + 2*r**3\/3 + 11*r**2\/2 - 48. What is the third derivative of z(y) wrt y?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -467*b**3 - 2*b**2 + 1461*b wrt b.\nAnswer: -2802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.7 + -1. Let m be -1*((-6)\/3 - -1). Let l be m\/(-7) + 140\/(-49). What is the closest to 2 in 0.2, o, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*35\/(2450\/112)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**3 - 4*w**2 - 4*w - 32. Let p(s) = -s**2 - s. Let f(j) = -g(j) + 4*p(j). Differentiate f(b) with respect to b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-4 - 5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**2 - 1 + 32*t**3 - 13*t - 6*t - 20*t + 32*t - 1 as n*t**2 + k*t + c + s*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -137, -425, -973, -1865, -3185, -5017, -7445?\nAnswer: -10553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 15*f**2 - 16*f - 16. Let t be -14 + -1 + (-2)\/2. Let z be d(t). Let p be -3 - (100\/z + (-1)\/(-4)). Solve p*v - 2 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -6\/5  (b) -6  (c) 0.05  (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1898 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 v, 1 y, and 1 d when four letters picked without replacement from {g: 1, v: 1, m: 2, y: 1, d: 9, e: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-3\/5)\/z*z)**(26\/3)\/(z**(1\/14))**(-17) assuming z is positive.\nAnswer: z**(983\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 850070, 1700129, 2550188?\n\"Answer: 850059*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10680532649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -317*h + 16. Is p(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.13  (b) -1\/4  (c) 0.04  (d) -0.115  (e) 1\/4  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -611355 times -289?\nAnswer: 176681595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -20075*g**2 + 30*g - 2993657 wrt g?\nAnswer: -40150*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = g. Suppose -d - 9 = -g*d. Find the first derivative of -w**3 - 2 + 3*w**2 - d*w**2 wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -9*n + 22. Let h(m) = -18*m + 45. Let v(p) = 3*h(p) - 5*x(p). What is the first derivative of v(b) wrt b?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(12\/(-24))\/((-35)\/14*(-1)\/(-10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408296427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 3 = -3*j, 7*r + 27 = 5*j + 3*r. Suppose 39 = w + j*g, -2*g = -1 - 9. Solve 3*s + w = 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 9*s + 10. Let b be j(-8). Suppose 0 = -226*i + 173*i. Solve i*w = b*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 13601?\nAnswer: -13603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(209) + (sqrt(209)*-2 + sqrt(209))*2))\/(sqrt(176)*-4 - (sqrt(1331)*2 - sqrt(1331))).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5*i. Let t(k) be the first derivative of -5 + 1\/2*k**3 - 7*k + 0*k**2. Let u(j) be the first derivative of t(j). Determine h(u(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 3 + (0 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30 + 63\/2*i - 3\/2*i**2.\nAnswer: -3*(i - 20)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50102 - 39023 = -31*i. What is the greatest common divisor of 805 and i?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(264) - sqrt(264)*1))\/sqrt(8))\/((sqrt(275) - sqrt(275)*1) + sqrt(11) + -2*sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 643860 and 285138.\nAnswer: 19959660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 9425974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1075133 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -34586*f + 2455621. Give l(71).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + s**2 - s + 2. Let n be d(0). Suppose 2*u + 4*g = 13199980, -2*g + 13200020 = n*u - 6*g. What is u rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -18573*b + 1291. Let a be w(67). What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txzz when four letters picked without replacement from zxzztztzzxz.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 10:56 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 11*m**3 + m + 5. Let r(q) = -27*q**3 - 3*q - 12. Let l = -22 - -10. Let s(g) = l*j(g) - 5*r(g). What is the second derivative of s(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*v**3 - 45*v**3 + 87*v**3 + 5.\nAnswer: 7*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13885 is divided by 6939.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 257702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2102929948, -2102929947, -2102929946, -2102929945?\nAnswer: -2102929944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*x**2 - 3*x + 3*x + 1932 - 1932.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(104\/117) + -3 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 6 = -2*f. Find the common denominator of 55\/34 and -2 - (-132)\/21 - f\/(-4).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 2*z**2 + 638. Does 11 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1961.98527 + 1962. What is u rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 5*f + 27, 0*f = 3*k + 4*f + 28. Is -9 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 54, -6, 5\/2 in descending order.\nAnswer: 54, 5\/2, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -602, -4503, -15034, -35513, -69258, -119587, -189818?\n\"Answer: -553*z**3 + 3*z**2 - 39*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8  (b) 4  (c) -5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5027985.9 days in weeks?\nAnswer: 718283.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -6*f**2. Let z(u) = -12 + 12 + u + 6*u. Determine i(z(r)).\nAnswer: -294*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1313521, 2627069, 3940645, 5254249, 6567881, 7881541, 9195229?\n\"Answer: 14*j**2 + 1313506*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*g**2 - 4*g**2 + 646*g + 13*g**2 - 221*g - 3*g**2 to p*g**2 + z*g + t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t + 13664 + 34584 = 93*t. Calculate the highest common factor of t and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*l**6 + 14*l**5 + 2*l**2 - 8*l - 4?\nAnswer: 1440*l**3 + 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(68) + (-2*sqrt(68))**2 - ((sqrt(833) - (3*(sqrt(833) + 0 + sqrt(833)))**2) + sqrt(833)).\nAnswer: -12*sqrt(17) + 30257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {m: 3, v: 5, f: 3, s: 2, e: 1, l: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 times 14?\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, w: 1, f: 2, d: 4, t: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - v + 2. What is l(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5226160*u**6 - 727860*u**2 + 1?\nAnswer: 627139200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxxfffffgfffffg. What is prob of sequence gf?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: d (base 15) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 2*w**3\/7 - 722*w**2\/7 - 3240*w + 23400\/7 = 0?\nAnswer: -30, 1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -40 - 2*v + 10 + 16 + 14. Let t(k) = 0*k - 2*k**2 + 0*k. What is t(s(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-26)\/6*(-2)\/((-23)\/(828\/24)). Sort x, -76, 2, -5 in ascending order.\nAnswer: -76, x, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.39 in 1, 7, 4, -2, -209?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1*sqrt(1053) + 4) + 4 + (-1 + sqrt(1053))*-3 + -2)**2.\nAnswer: 1386*sqrt(13) + 51718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -1 - 1588993\/(-7). What is x rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/3))**37*(d**(2\/3)\/d)**24*(d**(6\/7)*d\/((d**6\/d)\/d))\/(d**7\/((d\/d**1)\/d)) assuming d is positive.\nAnswer: d**(-899\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -1575.\nAnswer: 2\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -137225\/4 + 34042. Let n = 267 + j. What is the common denominator of n and 115\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + (27 - 5 - (22 - 18))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.039675507 rounded to 5 dps?\nAnswer: -0.03968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 2 - (-16 - (-8 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -3*j**2\/7 - 19356*j\/7 - 38628 = 0.\nAnswer: -6438, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -117*o - 263*o - 339*o to the form p*o + h and give p.\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52606.\nAnswer: 2, 29, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -159*r**5 + 125927*r**3 - 138969970*r**2 wrt r.\nAnswer: -9540*r**2 + 755562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2. Let m(u) = -5486*u**2 + 12*u. Determine m(b(o)).\nAnswer: -5486*o**4 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2780\/6179 + -30\/167. Let i = c - -44\/111. What is the third smallest value in i, -9, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.12 + -0.12. Let b = -2.5 + f. Let g = 2 + -7. What is the third smallest value in b, 2\/19, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3 - 11402*o**2 - 91330*o - 79926.\nAnswer: 2*(o - 5709)*(o + 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 0.1  (c) 0.32  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2\/4 - 503076*h - 6036885\/4.\nAnswer: -3*(h + 3)*(h + 670765)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -424 - 4*d - 7*d + 10*d + 0*d as l*d + o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/368 and -77\/120.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4230 by -2115.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -349 + 161. Let l = s - -292. Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -305 and -5?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from assbsbba. Give prob of sequence sba.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -55 - -93. Suppose b = c - 7*i + 2*i, -78 = -3*c + 3*i. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 863447953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(5 + (-3*(1 + sqrt(325)) - sqrt(325) - (3 + (sqrt(325) - (2*sqrt(325) - sqrt(325))) + sqrt(325) + sqrt(325)))*3*6)*-2)**2*-5.\nAnswer: -304112720 - 8899200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/24 + 252\/(-48). Calculate the common denominator of -59\/50 and (-8 - 244\/(-30)) + (-28)\/i.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1774.23683 - 3208.7.\nAnswer: -4982.93683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q + 4. What is o(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -5*z, 3*z = 1092*k - 1087*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 1 = -g, -h - 2*g = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-82194)\/513)\/(-103)*2\/7\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 6 - 16 = 0. Suppose -3*t + 454 = 5*q, 4*t - 105 = m*q - 297. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67\/3 - 667\/30. Let u be (-3)\/(-4)*(-28)\/(-7). Let j be 3 - 3\/u - 2. Sort 1, n, j.\nAnswer: j, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**2. Let p(j) = -15*j - 5. Let q(b) = -16*b - 6. Let c(d) = 6*p(d) - 5*q(d). What is c(g(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 41634520 divided by -5\nAnswer: -8326904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.3 + -13.7. Let i = 17.2 + s. Is i not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-64)\/(-112))\/(-1 - 1). Which is the closest to y?  (a) 4  (b) 3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 213 and 1633?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, s: 15, y: 2}. What is prob of picking 1 y and 1 s?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + -1 - (-15 - (9 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -87102115 - -5676164?\nAnswer: -81425951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/13 + (-5944)\/(-104). Suppose x - 120 = -9*l. Solve 5*c + 9 = -d, 0 = 2*d - 0*d - c + l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 8*n**2 - 9*n - 9. Let h be i(-7). Suppose 138 = 3*c + 4*b, -h*c - b + 247 = -0*c. 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 value of 2*19\/((-7714)\/(-2784))*3\/6*-7?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 - 2*q**3 + 2*q**3)*(-q + 6*q - 7*q).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((54\/105)\/3)\/((-6)\/(-20)). Suppose 2*u - 5 = -1. Factor 4\/7*g**4 + 2\/7*g + 0*g**3 - p*g**u + 0 - 2\/7*g**5.\nAnswer: -2*g*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3 + 0 - 7*n**3 + 0*n**3 + 5*n**2 + n + 0*n. Let p(o) = -3*o**3 + 2*o**2 + 1. Calculate -2*f(b) + 5*p(b).\nAnswer: -b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 101.21256ms in minutes?\nAnswer: 0.001686876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6709176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**3 - 2*i**2 - 2*i. Let g be m(-2). Solve 2*f = -4*b - g, 3*f - 3 = -0*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299\/46*24\/52.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5587 is divided by 193.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**5\/5 + d**4 - 8*d**2 - 3*d. Find i such that u(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 + -1141?\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38655 by 45.\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 4 = -4*m, -5*m = 6*v - 11*v + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of 0 + 27*k**2 + 0*k**3 + 7\/8*k**4 + 0*k - 11\/60*k**6 + 0*k**5. What is the second derivative of r(d) wrt d?\nAnswer: -132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -42, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 412938 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w**3 - w**2 + 5*w + 7. Let h be v(-3). Let m = -66 + h. Sort m, 6, 0 in decreasing order.\nAnswer: 6, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (13*(-2 + 1))\/(-1). Let r be ((-9)\/27)\/(6\/5940*-3). Suppose -o*l = -8*l - r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 5*h = -1034 + 1069, 0 = 2*q - 5*h + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c - -33ba?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*i**3 + 15*i**3 - 6*i**3)*(-63*i + 44*i - 3 + 1).\nAnswer: -38*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o - 11*o - 20 = 0. Suppose -8*s = 4 + 36. Put -2, 5, o, s in increasing order.\nAnswer: s, -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9760, 4, -3.6, 1 in increasing order.\nAnswer: -9760, -3.6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 7:56 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of -29*n**5\/12 - 27*n**4\/4 - 55*n**2 + 2*n. Find the second derivative of v(j) wrt j.\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*u - 1317 - 1635 = 62*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 5*w + 45 = 0, i - 348*w - 343*w + 1035*w = 341*w + 13 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 486*t**2 + 21044*t + 962. What is p(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12.3 in 82, -1\/28, 2\/9?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c3b (base 13) in base 4?\nAnswer: -1002303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 116.973 + 0.027. Let i = 6151.3579 - 6268.3578973. Let a = i + f. Round a to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 98, -39, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5103612 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110 (base 2) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86 + -84. Suppose 5*n = 4*c - i*c - 16, -c - 5*n - 7 = 0. Suppose 2*g - 3*m = 5*g - 12, 3*g = c*m + 36. Calculate the least common multiple of 3 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {s: 8, b: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2*z - z**3 + (2*z**2 + 3 - 3)*(-z + 2*z - 2*z) + 5 - 5 - z**3 - 3*z - z**3 + 3*z + 2*z**3 + 4*z - 4*z)*(2*z**2 + 0*z**2 - z**2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -554\/494879 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q**(-11)*q))\/(q**(-13)\/q))\/(q\/(q**(-4\/3)*q)*q**(-1\/3)\/q*q))**(6\/25) assuming q is positive.\nAnswer: q**(144\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - s. Let j(m) = -7*m**3 + m**2 + 8*m. Let z(a) = -6*a - 97. Let h be z(-16). Calculate h*j(c) - 6*q(c).\nAnswer: c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108299.\nAnswer: 37, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3139 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w - 37 + 38 - 5*w. What is d(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, o: 18}. Give prob of picking 1 v and 1 o.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.12, -1\/2, 2\/19 in increasing order.\nAnswer: -1\/2, 2\/19, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n - 6. Let w(o) = 4*o - 5. Suppose 84*g + 106 = 526. What is g*y(r) - 6*w(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (30\/(-20))\/(1\/(-4)). Suppose 3919*z + 57 = 3938*z. Solve z*j = j + i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4166)\/(-135395))\/(2\/(-40)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/5 - 22\/40. Let x be ((-6)\/2)\/((-3)\/(-4)). Put m, 3\/4, x in increasing order.\nAnswer: x, m, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 p when three letters picked without replacement from {j: 2, d: 3, e: 1, p: 4, l: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-6 - (8 - 13) - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 - -742. Suppose 2*h - q = -5*c - 2*h, 2*c + 3*h = 289. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b (base 15) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 103\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -61 + 64. Suppose -5*k + g*a - 6 = -3*k, -2 = -2*k - a. Solve k = -5*i + 1 + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - 5*m. Let i(c) = -7*c**2 - 9*c. Let o(s) = -13*s**2 - 18*s. Let n(p) = 11*i(p) - 6*o(p). Determine -3*n(j) - 5*z(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/21986 and 65\/822?\nAnswer: 9036246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -4*n + 2248, -3*v + 2251 = 4*n - 0*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 541\/10 at most as big as 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32\/111 + 3164\/9435. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -6. Let f be 85\/25 - (-4)\/(-10). Suppose 5*p = 4*n - 53, f = 4*n - 2*p + 7*p. Which is bigger: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 6*v**2 - 4*v - 11. Let x be q(-5). Let b = 39 - x. Let z = 2 - -1. Solve 0*m + b*m + 35 = 5*p, -3*m - 9 = z*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zimippiiiiuiuimzmzu. Give prob of sequence muz.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 249584741.\nAnswer: 7, 19, 701, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1725463 centuries in months?\nAnswer: 207.05556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + 6*d + 5. Suppose 4*c - n + 1 = 20, c + 4*n - 26 = 0. Let z be p(c). Suppose z*g - 75 = 5*m, -3*g - 5*m - 21 + 74 = 0. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5.177087, -1\/3, -0.1, 4, 3?\nAnswer: -5.177087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2145*n + 713*n + 717*n + 698*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*p + 4*p**3 - p**3 + 5*p**3 + 139*p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = 2*f - 4, -17*x + 14*x - 4 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-3) - (-22)\/6. Suppose t - 3*t + 8 = 0, -4*c - 4*t + 80 = 0. Suppose p = -5*k + 1 - c, -5*k = 5*p + 15. Solve p*d = z*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(468) + -4 - sqrt(468)) + sqrt(468))*6)**2 + 4.\nAnswer: 6912*sqrt(13) + 26068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 + 36*v + 34. Let z be k(-17). Solve 4*q = 3*m + q - 21, -3*m - 3*q - 9 = z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/6*(-81)\/(-90)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1282 - 1307 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -0*d - 0*d + d, 4*o + 5*d + 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -16034308?\nAnswer: 16034304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 4*a**2 - 2*a - 5. Let i be r(-4). Let w = 0 + -0.2. Let d = 9 - 4. Sort w, i, d in descending order.\nAnswer: d, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of 3*k**2\/2 - 14*k - 46. Let q be t(6). Solve q = 2*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155701 is divided by 76392?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83 by -15082.\nAnswer: -83\/15082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 652, 1344, 2036, 2728, 3420?\nAnswer: 4112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-2\/15))**(-9\/11) assuming l is positive.\nAnswer: l**(-51\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of -j**5\/5 + j**4\/4 + j**3 - 5*j**2\/2 + 2*j - 103. What is h in w(h) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**4\/4 + 51*c**3 + 1095*c**2\/4 - 651*c\/2.\nAnswer: 3*c*(c - 1)*(c + 7)*(c + 62)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -313054 (base 7) in base 12?\nAnswer: -2722a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.4654 * -19.\nAnswer: -141.8426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/7 + 200*v**2\/7 - 1578*v + 17892.\nAnswer: 2*(v - 21)**2*(v + 142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151, -282, -413, -544?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lmmgmswumwmmgmsu. What is prob of picking 1 g and 1 l?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159*d + 10 = -157*d. Solve -3*j - 2*m = 10, -d*j - 23 = -0*j - 3*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -1\/3*m**3 - 9 + 3\/2*m**2 + 0*m. What is x(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12024033 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 567746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5, -2, 3, 10, 19?\n\"Answer: x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t - 1. Let v(x) = 8*x. Let b(g) = 15*f(g) + 3*v(g). Let y be b(6). Suppose -p + 3*i + 215 = 0, -p - i + y = -5*i. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, w: 1, q: 1}. What is prob of sequence wkq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skhjktjt. Give prob of picking 1 j and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37658714*d**3*h**2 - 179756*d**3*h*l - 9*d**2*h*l + d*h**2*l + 11*h*l - 2*h wrt h?\nAnswer: -75317428*d**3 + 2*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.08?  (a) -3  (b) -4  (c) -2885  (d) -0.12  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 34942792.\nAnswer: 5\/34942792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4547 + -1310. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*z - 114*z + 4*n = 12, -4*z - 2*n - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 32\/10*1\/2*10. Put q, 2, -4 in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h = -5 + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3762, -3763, -3764, -3765, -3766, -3767?\n\"Answer: -x - 3761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(84)\/(sqrt(24)\/sqrt(2)) - sqrt(7)) + (sqrt(63)*-6)**2)*-4.\nAnswer: -9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 9:09 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3082052 weeks in microseconds?\nAnswer: 186402504960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -702 = -37*q - 110. Solve 2*h = -6*h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -33. Suppose -19 - 89 = -9*p. Calculate the remainder when m is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 19 - 31 - 10 = 0. Suppose 0*i - 4*i - 2 = -2*g, 2*g + 5*i = 11. Suppose 2*a + 3*l = l + j, a - 3*l = g. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4399327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.67104 - -1467?\nAnswer: 1477.67104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 61 - 29 - 30\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 2.6. Let s = 0.1512 - -0.3488. Which is the biggest value?  (a) r  (b) s  (c) -0.3  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13199493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*t + 18*t. Let o = -32\/19 - -314\/209. Which is the closest to t?  (a) o  (b) 2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 17*x = -14*x + 47, 6*s - x = 101 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 53939*z**2 - 3. Let j(w) = 2*w. Give o(j(u)).\nAnswer: 215756*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3950 and 10130.\nAnswer: 4001350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/14 and 306\/21*(-2)\/(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95009 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132208636 is divided by 50136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 5 - 5*d - 4 - 2*d**2 - 4 + d**3. Let b(x) = -2*x**2 + 6*x. Let f be b(4). Let o be -6 - (f + 4) - -6. What is n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27551162207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 55*w**2 - 340*w - 47. Let b be g(-48). Are 142 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cjcj when four letters picked without replacement from sjjcdssejcdse?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 20*b**2 + 26*b + 1139. What is p(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vsasndassiaaas. Give prob of picking 1 a and 1 v.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38079 divided by 2.\nAnswer: -38079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*a - 560 = -26*a. What is the greatest common factor of a and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7)\/(-21) - 5\/(-3). Suppose 0 = -0*w + x*w. What are the prime factors of w + (6 - (-1)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 85025, 84996, 84967, 84938, 84909, 84880?\n\"Answer: -29*s + 85054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 - 3*v**3 + 5*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(1\/2))*u*u\/(u\/u**(-12)))\/(u\/(u*u**15\/u*u)*u**(-6)))**19 assuming u is positive.\nAnswer: u**(361\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*b - 30906 = 5*b. Suppose 0 = -5*h - 5*n + 2*n + b, 2*n = h - 346. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/((-18)\/(-15)*5). What is the second biggest value in 0, a, 2, 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -3 + (-2 + 1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 2\/9, -0.01428, -140?\nAnswer: -0.01428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 133098345 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 56193616.2 to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1234, 4262, 9758, 15254, 20750?\n\"Answer: 5496*j - 6730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 2\/15, 3, -4.12, -0.27 in increasing order.\nAnswer: -16, -4.12, -0.27, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 956153 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -7*l**2 + 251*l + 13. Let k(c) = 19*c**2 - 753*c - 36. What is -4*k(j) - 11*s(j)?\nAnswer: j**2 + 251*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/7)*(o\/((o**(-30)*o)\/o))\/o)\/(o**(-18)*o*(o*o*o\/o**(-19))\/o*o*o*o) assuming o is positive.\nAnswer: o**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 43679 + -43496. Sort 1, 0.5, n in descending order.\nAnswer: n, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -41.53665?\nAnswer: 40.53665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 5. Let v be (-2)\/(164\/55 - 3). What is the greatest common divisor of h and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3106801 millilitres in litres?\nAnswer: 0.0003106801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*l + 11*l + 2*l to the form h*l + a and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 775, 1503, 2153, 2689, 3075, 3275?\n\"Answer: -6*d**3 - 3*d**2 + 779*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4*m + 28783 = 0, 5*x - 5*m = 11738 + 17052. Is x a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in thirty-one fifths of a microsecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f**3 - 4*f**2 - 7*f - 10. Let q(b) = 5*b**3 - 4*b**2 - 8*b - 12. Let i(x) = -6*n(x) + 5*q(x). What is the smallest common multiple of i(-1) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354 = 12*f - 414 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -32*b**3 - 2*b + 3. Let k(u) = 64*u**3 + 4*u - 7. Calculate -5*i(h) - 2*k(h).\nAnswer: 32*h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 5:02 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 760 = -2888. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -509894 - -1000275. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/4, 4, 520, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/3)\/(g\/g**(1\/3)))\/((((g**(1\/6)*g)\/g)\/g*g)\/(g\/g**5)) assuming g is positive.\nAnswer: g**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 367.6 + -401. Let q = -33.400016 - z. Round q to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.35962 rounded to 1 dp?\nAnswer: 68.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y + 10 = 11*y. Let i = y + 21. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -24*c**3 + 13*c**2 - 1404*c + 1404. Determine s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -z + 22, -t - 18 = -4*t - 5*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + q + 5 = 0, 14495*p - 14*q = 14496*p + 70 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhbbbbhhbebbe. What is prob of sequence hh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.088 or 6.24?\nAnswer: 6.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 4*f**2 + 5*f - 2. Let a be d(3). What is the biggest value in a, 2\/9, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-7)\/(14\/(-8)). Let x = 4.7 + -5.1. Sort x, -0.3, r in ascending order.\nAnswer: x, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 703 a factor of 1008648934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -6 + 6 + 7 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 11:02 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2928 - 3078. Which is the biggest value?  (a) f  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 31704 and 5284.\nAnswer: 31704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 329*f - 140 = 301*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-76)\/(-6) - (-4)\/12. Let c = -17 + y. Let t(m) = m**2 + m + 4. What is the remainder when 31 is divided by t(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, f: 1, c: 2, q: 6, l: 4}. What is prob of picking 1 q, 1 t, and 1 f?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336721841?\nAnswer: 5281, 63761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11324458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -457  (b) -7\/34  (c) -1\/8  (d) -1  (e) -0.1  (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -791977 (base 12) in base 16?\nAnswer: -1d792b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x + 172. Let j(t) = 3*t - 177. Calculate -6*f(p) - 5*j(p).\nAnswer: -3*p - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)\/(1*sqrt(7)*-4)*5)**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -17*b + 18. Let i(k) = -11*k + 12. Let m(h) = -5*c(h) + 8*i(h). Suppose -2*w - w + 15 = 0. Determine m(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 564 and 131459.\nAnswer: 1577508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -t**4\/18 - 2*t**3\/9 - t**2\/3 - 2*t\/9 + 1. Factor p(s).\nAnswer: -2*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 4*q = -30, -12*y - 5*q = -7*y - 55 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 < -23585\/7866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 37309154086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, l: 8, y: 1, c: 2, u: 5}. Give prob of sequence ww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 130762 or 130705?\nAnswer: 130705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 + 60*l - 112.\nAnswer: -2*(l - 28)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -8. Let q be 0 - 3\/i - -8. What is the greatest common factor of q and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (228\/36)\/(18\/54).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*sqrt(70) - sqrt(70))\/(sqrt(10) + 6*sqrt(10)*1).\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjppjjjjhjjpjjjj. What is prob of picking 2 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*q - 14*q + 180928 = 18*q. Which is greater: q or -1030?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27318060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 2:56 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 63*r - 6*r + 13*r + 3. Let g(f) be the third derivative of f**5\/60 - 2*f**2 - 2*f + 21. Calculate g(d(s)).\nAnswer: 4900*s**2 + 420*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 322373\/17 + -18963. Which is the closest to -0.26?  (a) 0.3  (b) n  (c) -3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/472 and (-23)\/115*((-1290)\/(-4))\/(-3).\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -442*s**3 - 439*s**3 + 998*s**3.\nAnswer: 117*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4022 - 4020. Which is the second smallest value?  (a) 3  (b) z  (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-24)\/(-16))\/((-2)\/36). Let k = 132 - f. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 16*f**2 + 19*f + 25. What is the remainder when a(17) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9923659 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8396 + -50509\/6. What is the common denominator of 57\/22 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7548*y + 3957*y + 3600*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155163954.\nAnswer: 2, 3, 11, 2350969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.6 - -1. Suppose -4*k + 9 + 3 = 0. Which is the second biggest value?  (a) -4  (b) k  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4 + 23*j**3 - 75*j**2 + 77*j - 26.\nAnswer: (j - 1)**3*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -7170\nAnswer: -2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 + -77 - -11) + (-5 + (7 - 0) - -4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 292 a factor of 143954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 397 = -11444. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -5*w**5 + 500460*w**4 - 26513965*w**3 + 363144430*w**2 - 286104780*w - 676263640 = 0?\nAnswer: -1, 2, 26, 100039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2*j**2 + 340*j - 1376. Let b be l(4). Solve -5*m = -2*c - b, 0 = -2*m - 1 + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 - 1093*s - 7 + 24 - 51.\nAnswer: -1093*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ulbhjuujlbblwbbjjlb. What is prob of sequence hw?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 276795?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 8 = 3*y, -4 = -4*c + 2*y + 2*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 m, and 1 r when four letters picked without replacement from {m: 3, t: 2, r: 10}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 55188280\nAnswer: -1\/55188280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/((w*w\/w**(-2\/11))\/w))\/w)\/w)\/(w*w**(-17)))**(-11) assuming w is positive.\nAnswer: w**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {m: 2, r: 3, v: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 4  (c) -2  (d) 70403948\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 65 = -9. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 907 and 7.\nAnswer: 6349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide (-3*(-8)\/15)\/(58\/1160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.23925 seconds to nanoseconds.\nAnswer: 28239250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 a, 1 d, and 1 v when four letters picked without replacement from jajgjgvjjgagajd?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7336949?\nAnswer: 53, 138433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 79001124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -38\/13, -1\/20, 3\/2 in descending order.\nAnswer: 3\/2, -1\/20, -38\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165164488?\nAnswer: 2, 20645561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of 0*j**4 - j - 1\/5*j**5 + 0 - 1\/21*j**7 + 0*j**3 + 0*j**2 + 1\/5*j**6. Let f(n) = 0. What is n?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1 + (sqrt(11) - sqrt(44)\/sqrt(4)) - (sqrt(55)\/sqrt(80) - sqrt(11))*-4.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -20*d - 3*d**3 + d**3 + 16*d - 7 + 3*d**3. Let l be m(3). Suppose 0 = -z + 5*f + 1 + 7, -l = -z - f. What is the highest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -108 + 110. What is the closest to y in -0.3, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-1) + 5 + -11. What is the closest to -2\/9 in 0, -0.5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w - 26 = 16. Suppose -w*h + 3 = 5*y - 17, 0 = -3*h. Solve -5*r + 2*r = 12, -y*r = 4*t + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/4)\/(z*z*z**(-1\/2))*(z**(-1\/2))**(-5\/11))**(-2\/35))**(-2) assuming z is positive.\nAnswer: z**(-67\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*v + 14*v = -189. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 1:51 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 133 - 531\/4. Let w(x) be the first derivative of -2\/3*x**3 - 3 + 1\/2*x**2 + f*x**4 + 0*x. Factor w(o).\nAnswer: o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**3 - 4*q**2 + q + 1. Let o(p) = 16*p**3 - 19*p**2 + 6*p + 4. Let r be 1\/((24\/(-44))\/6). Let x(k) = r*m(k) + 2*o(k). Determine x(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 7*z = -4*z - 1, 3*y + 21 = -2*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -5*z + 2. Determine u(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1 - 2 - (-169 + 165)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-51))\/(4*3\/6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1509*q + 751*q + 496 = -742*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/3*(-12)\/(-8). Suppose 2*u - a = 3*u. Let f(s) be the third derivative of s**3\/6 - s**2. Let z(y) = y. Give u*f(n) + z(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -8*v**5\/5 + 7*v**2 - 3. What is the second derivative of c(y) wrt y?\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*t + 118 = -112. Solve t*b = -2*q + 19, 4*b + 2*q - 7*q = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 3564190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = -a - 4*u + 77186, -5*a = 3*u - 55132. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12334 * -0.6.\nAnswer: 7400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2031545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.1, 5, -1\/672?\nAnswer: -1\/672","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(4) - (sqrt(4) - -5*sqrt(8)\/sqrt(2)))\/(((2*sqrt(96))\/sqrt(4))\/(sqrt(12) - 2*sqrt(1728))).\nAnswer: -69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**3 + 4*g**2 + 4*g + 3. Let q be a(-2). Let d = q - -8. Is d*(0 - (-92)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4891\/32340 + -2\/1617. Which is the third biggest value?  (a) w  (b) -23  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + (11 + -13 - ((-8 - 1) + 2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -25*l**9\/42 - 101*l**5\/30 - 969*l**2. Find the third derivative of d(c) wrt c.\nAnswer: -36000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 6 = -o. What is the remainder when -1 + -1 - -1 - (-66 - -15) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -554081 less than 0.214579108?\nAnswer: 554081.214579108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*l**3 - 13*l**3 - 4*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h + 11719 = -2155. Let l = -404 - h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -9 + (6 + -6 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 112*m - 1213. Determine b(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22229*y - 22510*y - 9554 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**5 - 1582*i**4\/3 - 15946*i**3\/9 - 19718*i**2\/9 - 10672*i\/9 - 712\/3 = 0. What is i?\nAnswer: -1, -2\/3, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2 - 17*u - 14. Suppose -4*p + 3*z - 37 = 0, -6*z + z + 15 = 0. Let g be w(p). What is the highest common divisor of 329 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + 2*t + 2 - 14, -2995*i + t - 11 = -2994*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.27 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - 8. Suppose -8 = t + 22. Find the common denominator of (-137)\/t - 4\/c and -77\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*i = 25*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000111000101000000 - -110001010?\nAnswer: -1000110111110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) 1379.2  (c) 4  (d) -5  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.95 and -203010.\nAnswer: 1410919.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1211351 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-2 + 4 + 0))\/((-320)\/(-2080)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -12*q + 262. Calculate k(5).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**2. Let m(a) = -a + 3. Let j(d) = -5 + 3 - 6 + 3*d. Let y(x) = -3*j(x) - 8*m(x). Give y(p(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/313 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 AM and 10:13 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2771340 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45589*c + 166875 = 47464*c for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of q**3\/2 - q + 8. Let b = -1 - -1. Let g(i) = b - i + 0. What is x(g(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-4)*64\/(-288).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 701576673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3956 - -32.7356. Let n = u - 32. Let j = 0.86 - n. Is -0.1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s**3 - 219*s**2 - 448*s - 301. Let g(t) = -t**3 - 15*t**2 + t + 1. Let l(r) = -f(r) + 5*g(r). Factor l(m).\nAnswer: -3*(m - 51)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56271749?\nAnswer: 19, 2961671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**4\/4 - 72921*h**3\/2 + 590708664*h**2 - 3187461519744*h - 31933722531840.\nAnswer: 3*(h - 16208)**3*(h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 1\/3  (c) -1997\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 176886*l - 884396. Determine u(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2844247517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (76 + -72)\/((-2)\/(-7)). Let j be ((-76)\/266)\/(1\/s). Let h(y) = -y**2 - 5*y + 1. What is h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f*f**(-3)\/f*f)\/f)\/(f\/(f**(-5)*f))*f**(-9)*f\/f**(-1\/13))**(-1) assuming f is positive.\nAnswer: f**(194\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**5 - 248*v**4 + 940*v**3 - 680*v**2 - 944*v + 928 = 0. Calculate v.\nAnswer: -1, 1, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 7 + (16 - 18) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of n**7\/2520 - n**6\/360 + n**4\/3 - n. Let q(t) be the third derivative of y(t). Let q(j) = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 7*y**2 + 3. Let w be b(7). Let h be (-2)\/3 + 8\/w. Suppose 5*r = h*r + 99. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5095880 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -16?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4\/9  (b) -26  (c) 1\/30  (d) -4  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/1071094 and -107\/83545332.\nAnswer: 83545332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 + (-55 - 0) + -23.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11\/53 - 1129\/4929. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0067 + -3.9933. Let i be (0 + 3)\/(42\/(-28)). What is the fourth smallest value in i, -3, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6*j**2 + 6*j + 10. Let g(q) = -q. Let z(o) = d(o) + 6*g(o). Differentiate z(t) wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4955596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 5920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 n when three letters picked without replacement from icdfdnnenninnnfen?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.20197?  (a) 1\/2  (b) -0.3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13525 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 134?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/3 - 3*f + 20\/3.\nAnswer: (f - 5)*(f - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.2 + 1.8. Which is the second smallest value?  (a) s  (b) 1\/5  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and 3128685.\nAnswer: 3128684.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**4\/24 - l**3\/6 + 37*l**2. Let x(s) = 4*s**2 + 2*s - 2. Give x(b) - 2*y(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -900*t**2. Let f(i) = 6*i**2 - 4*i + 4. Let g(x) = -x**2 + x - 1. Let w(j) = f(j) + 4*g(j). Give w(p(c)).\nAnswer: 1620000*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 24*o + 596. Let d be v(-23). Let j = 70 - 110. Let i = j + d. Solve 3*x + 2*x + 2 = f, i = -4*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/68182 and -61\/46.\nAnswer: 1568186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 8. Let i(a) = 16*a + 293. What is the remainder when i(-18) is divided by h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -12*m + 11*m - m. Let w(c) = 9*c + 8. Let z(i) = -i - 1. Let h(p) = 3*w(p) + 24*z(p). Determine h(u(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-1) + 6*(-2)\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -8, -5, -8, -23?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27\/18*2\/3*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 42825011 divided by -23\nAnswer: -1861957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 26*n + 8. Let w be f(22). Let p = 102 - w. Let v = -27 - -37. What is the least common multiple of v and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = a - 10 - 4, -5*a = -2*i - 4. Let z be -225 + -1 + i + 7 + -6. Let r = 511\/2 + z. Find the common denominator of 59\/15 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - s + 5. Let c be z(0). Let r be ((-2)\/(-5))\/(1\/c). What is the third derivative of -3*i**r - 2*i**4 - i**4 - 2*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**(1\/2)*o)**40)**(17\/3))**(-3\/16) assuming o is positive.\nAnswer: o**(-425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h - 4*h + 3*h + 15. Let d be (2 + 2)\/(1\/(-2)). List the prime factors of g(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3556721119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*a + 7. Suppose 7 = -a*g + 35. Let q = 4 - -3. What is the greatest common divisor of q and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2303412444 - 3?\nAnswer: -2303413002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y - 2 - 2*y**2 - 2*y**2 + 5*y**2. Let k be h(-5). Let m = 10 - k. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - -1 - (-2 - 8). Suppose 0 = 3*h - 5*h + q. Let w = 2 + h. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27.4 + -27.4412. Let c = 0.0412 + w. What is the closest to -9 in c, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291375 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -7) + 6 + -5 - (6 + -26)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.70000012 + -2.7. What is w rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-11913)\/27 + 1 + 26\/117. Is j\/66*(-8391)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -179470 to the nearest 1000.\nAnswer: -179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-60)\/(-8))\/15*40\/(-110). Which is the closest to g?  (a) 0.1  (b) -4  (c) 4  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((1*sqrt(153) + sqrt(153))*-6 + (sqrt(153) - (sqrt(153) + sqrt(153)*2) - sqrt(153))*-1)\/(-3*(sqrt(225)*-4 - sqrt(225))).\nAnswer: -3*sqrt(17)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 541\/2 + -242. Let l(r) = 28*r. Let b be l(-1). Let c = j + b. Which is bigger: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i**3 - 3*i**2 - 3*i. Calculate k(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 - (-2 + 2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2833645 by 4.\nAnswer: -2833645\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(6\/11))**(-38)\/((v\/(v*v**(3\/2)\/v)*v)\/v**(11\/4)) assuming v is positive.\nAnswer: v**(-813\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -121 and -6.078833432?\nAnswer: 114.921166568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 5*v - 19. Let p be m(8). Suppose -315 = -4*r - 5*x, -4*x = p*r - 22 - 374. Calculate the remainder when r is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20172 divided by 6724\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**2 + 2*p - 2. Suppose 23 - 24 = -m. Let w(x) = 29*x - 27*x - m - 2*x**2 + 0*x**2. Let b(q) = q + 9. Let z be b(-6). Calculate z*h(g) - 4*w(g).\nAnswer: -g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 620962 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.81268 plus 153174.89?\nAnswer: 153177.70268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11*l - 83 + 6*l - 11*l + 52 wrt l.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -47, -41, -13, 49, 157?\n\"Answer: 2*z**3 - z**2 - 5*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/16)\/(15\/120)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7463\/19165 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4 = 4*f - f, 0 = 4*f - 12. Let n be 1\/w - 29\/(-5). Let x be ((-2)\/(-1))\/(-2) + 55. What is the highest common factor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 2575720.\nAnswer: 5151440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 1 = 3*i, -3*i + 2 - 4 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of 0*h**3 + 12\/5*h**5 + 0*h**4 + 2*h + 22\/15*h**6 - 10 - 2\/21*h**7 + 0*h**2. Factor b(f).\nAnswer: -4*f**3*(f - 12)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -885 and 1.02795.\nAnswer: -909.73575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-11 - -3) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 - -8. Let i = 0 - m. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.16 + 0.16. Sort -2\/5, b, 0.5 in ascending order.\nAnswer: b, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-15))\/(11\/(-132)*14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -4 + 3*a**2 + 7 + a + 20 + 19*a - 5. Let x be m(-6). Solve x = -4*l + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 33\/(-6) + (-2)\/4. Is 3\/9 - 400\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 241*r**2 + 9*r - 4. Let d be n(1). Let v(p) = -22*p + d - 247 + 25*p. What is v(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of k**4\/4 - 2*k**3 - 4*k**2 - 13*k - 5. Let j be r(8). Suppose -2*u - 4*c = -j - 3, u - 24 = -c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 17*m - 28*m + 15*m**2 + 16*m. Let l(h) = h**3 - 13*h**2 - 6*h. Let z(d) = -5*l(d) - 4*o(d). Factor z(t).\nAnswer: -5*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 111475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**4\/4 + 633*r**3\/4 + 21315*r**2\/4 - 1596861*r\/4 - 13382145\/2 = 0. Calculate r.\nAnswer: -119, -15, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llglllglglllllllllll. What is prob of picking 3 l?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c + 27240 = -51*c - 242*c + 60*c for c.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7720 - -14966. Let z = u - 3339. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13775, -13875, -13981, -14093, -14211, -14335?\n\"Answer: -3*a**2 - 91*a - 13681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -10. Suppose 4*y - 4 + 34 = 3*x, u*y + 3 = -x. What is the remainder when 2 - (0 - (9 - 1)) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 17 = 2*c, -5*m - 4*c = -m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 40627109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 102468*d**2 + 437822.\nAnswer: 204936*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57354?\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 971 - 3907\/4. What is the common denominator of t and -95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**2 - 9282884*o - 21542983839364 = 0. What is o?\nAnswer: -4641442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110679736?\nAnswer: 2, 47, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2. Let x(w) = 15*w - 17. Let r(u) = u - 1. Let v(p) = -p - 9. Let a be v(-3). Let f(y) = a*x(y) + 102*r(y). What is t(f(m))?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 2\/5  (c) -48  (d) -1\/4  (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1516464 by -31593.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b + 2. Let a be m(-6). Let j be (a\/(-10))\/(4\/(-10)). Find the third derivative of -2*z**j + 4*z**3 - 4*z**3 - 2*z**4 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/(-9))\/2)\/(88\/(-132))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*u + 27 = 0, -4*z = -10*u + 15*u - 42. Put 2, -33, 5, z, -1 in increasing order.\nAnswer: -33, -1, 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*w = -27 - 5, 5*f - 40 = -3*w. Suppose 3*s - 2*t - f = s, 2*t = -3*s + 12. Solve 5*j + 4 = 3*y, s*j + 12 = 5*y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 5*h**3 - 4*h - 3. Let u be n(-1). Let s be 0\/((-1 - u)\/((-75)\/100)). Solve 0 = -s*d + 3*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*b + 31 = 6*y + 29*b, 3*b = -5*y + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.8, 0.057, -4?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 808137\/5 equal to 161626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26221 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 195414 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -8*c + 32. Let s be d(0). What is the greatest common divisor of 88 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22406 and 21579614.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 328 - 332. Let i = -1.6 + 1.7. Which is the third biggest value?  (a) f  (b) 4  (c) -0.09  (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xhbllullxuuxxlul. What is prob of sequence xlhu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 30510481 plus -1508.27?\nAnswer: 30508972.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 211\/(-9*(-3)\/2619) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 102 + -98. Let t be (-5)\/2*(0 + -2). Which is the third smallest value?  (a) r  (b) t  (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42\/4*(-4)\/(-2). Let d(c) = 111*c**2 + c - 9. Let y be d(3). Is ((-14)\/n)\/((-2)\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 3:52 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(2904) + 3*sqrt(2904)*1)\/(sqrt(12)*-3*3*1).\nAnswer: -44*sqrt(2)\/9 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, m: 3, k: 1, p: 2, q: 1}. Give prob of picking 2 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-1)*d)**(-12\/13))**(29\/5)\/(d**(-1\/9)\/((d\/(d\/(d\/d**(3\/8))))\/d))**(-25\/2) assuming d is positive.\nAnswer: d**(-19237\/9360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 4*a + 9. Let g(o) = 2*o**3 - o**2 - 8*o - 17. Let y(x) = 4*g(x) + 7*q(x). Let s be y(5). Sort 2, -1, s in descending order.\nAnswer: 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-7)\/(-3) - 2025\/(-285)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cacacclciiccc. Give prob of sequence cac.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*m - 38 = -a, -m + 5*a - 1 = 0. Calculate the lowest common multiple of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/18 - 138\/(-9))*4. Suppose 0*i - x = 4*i. What is the common denominator of 9\/7 and (0 + 2\/(-24))\/(i\/(-980))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 778\/3 at least 259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 12862235.\nAnswer: 2\/12862235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5*749\nAnswer: 3745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -2 - 1. Let u = 5 + f. Suppose -5 = -3*p + 2*o, 2*p + 3*o - 35 = -u*o. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79689585 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1277235 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 346.3 + -346. Which is the biggest value?  (a) 2  (b) q  (c) -582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2814177794 to the nearest integer?\nAnswer: 53049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2*g - 12, -3*l - 5*g - 15 = 0. Let u(w) be the third derivative of 0 - 1\/2*w**3 + 3*w**2 + l*w + 1\/24*w**4. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 5*h**2 - 3*h + 2. Let a(c) = -c**2 - 8*c - 4. Let j be a(-7). Let s(l) = 4*l**2 - 2*l + 1. Give j*s(r) - 2*u(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ztxzzzzzzowowfzfo. Give prob of picking 2 f, 1 t, and 1 z.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 111914 and 5038?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is b84 (base 15) in base 5?\nAnswer: 40344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i*i**(-2\/5))))\/(((i*i*i*i**(-9)\/i*i)\/i)\/i))**(-3\/11) assuming i is positive.\nAnswer: i**(-144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q**2 + 5*q - 28. Let k(t) = -t**2 + 2*t - 14. Let b(p) = 5*k(p) - 3*z(p). Suppose -4*u + 20 = r, r = u - 2*u + 8. Is b(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 6*y - 8*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3788623548?\nAnswer: 2, 3, 105239543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n. Let x(c) = -c + 9. Let t be x(20). Let b(o) = 61*o**2. Let d(r) = 31*r**2. Let z(u) = t*d(u) + 6*b(u). Calculate z(p(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -5\/3, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 314 - r**2 - 313 - 6*r**4 - r**4 - r**3 in the form p*r**2 + u + s*r**4 + d*r**3 + c*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11022231230 (base 4) to base 3.\nAnswer: 2112211011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12332 divided by -2\nAnswer: 6166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*138\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 162\/42 - 12\/14. Suppose -t - w*d = -26, -5*t + 190 = 16*d - 21*d. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2*v + 124 = 0, 2*v - 6*v = 3*u - 115. Calculate the smallest common multiple of 21 and u.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12536445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 623*m**2 + 3*m - 3*m - 1343*m**2 to i*m + y + l*m**2 and give l.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - x**2 + (-4*x + 7*x - x)*(-3*x + 2*x - x) - 4*x**2 + 0*x**2 + 2*x**2 + 0*x**2 + x**2 - 14*x**2 + 2*x**2 - 6*x**2 + 6*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -6*l + 2*l - 37 + 19. Let p be d(-5). What are the prime factors of (14\/(-21))\/(p\/(-177))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 2535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*t - 10 - 92 = 0. Let c(k) = 2*k**3 + k**2 - 2*k + 2. Let l(p) = -6*p**3 - 3*p**2 + 7*p - 7. Determine t*l(x) + 7*c(x).\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -5*m**4\/12 + 45*m**3 + 900*m**2 + 830*m - 3. Solve h(p) = 0.\nAnswer: -6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - -9. Let v be 6\/15*5 + m. Let w = 20 - v. Solve 4*t = 8 - w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**12\/(((a*a**48*a*a)\/a)\/a))\/(a**(1\/54))**(-10) assuming a is positive.\nAnswer: a**(-994\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188431 is divided by 1308.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**4 + 4*v**2 - 4*v**2 + v**4 - 3*v**2 + 0*v**2 - 3*v**4 + (v**2 + v**2 + 2*v**2)*(-3*v**2 - v**2 + 2*v**2).\nAnswer: -9*v**4 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1899 divide 218631230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -791*a - 1556. Does 150 divide y(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -425.268 rounded to zero decimal places?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2. Let n(d) be the third derivative of d**5\/5 + 7*d**2. Calculate v(n(a)).\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8469.\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 6192 + 9261*t - 3097 - 3095 in the form z + j*t and give j.\nAnswer: 9261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200131121 - -331?\nAnswer: 200132002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from pgogooopopopgg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249772, 249755, 249736, 249715?\nAnswer: 249692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8163477 divided by 21.\nAnswer: 388737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 927 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (132\/(-55))\/(((-42)\/(-525))\/(4\/165)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*b*s**4 - 598*b*s**3 + 124*b*s**2 + b*s + 21*s**4 + 2*s**3 - 2457*s**2 wrt s?\nAnswer: -72*b*s - 3588*b + 504*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h - 6. Let r(u) = -8*u + 27. Determine 6*i(w) - r(w).\nAnswer: 2*w - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8451995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 33127720*i**3 - i**2 + 71017471*i wrt i?\nAnswer: 198766320*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 5*z - 125, 3*g - 25 = -4*z + 45. Determine k so that -130*k + 100*k**3 - 118 + 16 + 840*k**2 + g*k**3 - 743 + 5*k**4 = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-8)\/d)\/d**(2\/3)*(d**(-2))**(-32\/3) assuming d is positive.\nAnswer: d**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 3.1158  (c) 0.4  (d) 3  (e) 0  (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 117, 533, 1461, 3093, 5621, 9237?\nAnswer: 14133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 5\/3*t**4 + t + 0*t**2 + 1\/3*t**3 + 16\/21*t**7 + 33\/10*t**5 + 8\/3*t**6 + 0. Determine p so that n(p) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1))**(-2\/117)*n*n**5*n\/n**(8\/7) assuming n is positive.\nAnswer: n**(4811\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 351, 752, 1205, 1710?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 7 - -6) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 617236 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -22869 - 5351.053\nAnswer: -28220.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 14*u**5\/3 + 1396*u**4\/3 + 12046*u**3\/3 - 17416*u**2\/3 + 1320*u = 0?\nAnswer: -90, -11, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - a)*(-2*a**2 - 1 + 1) + 5*a**2 + 5*a**3 - 5*a**2.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -10  (c) 1\/3  (d) -2  (e) -18.56\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 264\/46645 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7069*v - 7074*v + 7 = 4*z, z - 5*v + 17 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*m - 204 = -48 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r**2 + 8*r + 7. Let u = -10 + 21. Let m(s) = 2*s**2 - 4*s - 4. Let t(h) = u*m(h) + 6*c(h). Determine g so that t(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1070.15659*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 900 and 90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21.72 - 0.28. Let f = -21.38 - v. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 4:06 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7022*d**2 + 3465*d**2 + 3556*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) 1\/5  (b) -902  (c) 5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of 1\/40*f**6 - 1\/20*f**5 - 8*f**2 + 0*f + 1\/2*f**3 + 0 - 1\/8*f**4. Suppose v(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/5 - (2 + 1). Let q be (1\/(-1 - d))\/1. What is the first derivative of -s**2 - q + 5*s - 5*s wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -f**8\/168 + 2*f**7\/21 + 3*f**4\/8 + f**3\/3 - 3*f**2 - f. Find the second derivative of y(j) wrt j.\nAnswer: -40*j**3 + 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 14 = 3*z. Let t(n) be the first derivative of -32\/9*n**3 + 2\/3*n - 1\/3*n**2 + 1 + 8\/3*n**z. Find v such that t(v) = 0.\nAnswer: -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**2 + 16*q + 28. What is the least common multiple of m(-6) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*r - 3*r. Suppose -3*w + r*w = -4*a - 6, -w + 4 = -a. Suppose 0*f - 8 = -4*f, -4*f = -w*g + 10. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 299370837*c**3*g*p**2*t**2 - 33*c**2*g*p**2*t**2 + c**2*g*t**2 + 190*c**2*p**2 - 128*c*g*p*t - 7*g*p**2*t wrt c?\nAnswer: 1796225022*g*p**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*b + 715 = -64*b. Let o = b + 378. What are the prime factors of o?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -4, -0.06, 5, -1\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2033, -4240, -6607, -9134, -11821?\n\"Answer: -80*x**2 - 1967*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1349756419852 + 7.\nAnswer: -1349756419845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 22092434863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -44718979 less than 1.0051?\nAnswer: 44718980.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -5*p**4 - 50*p**3 - 95*p**2 + 150*p = 0.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 42058697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48621 by 53.\nAnswer: -48621\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2553 and 111?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 17. Let b = -20 - -18. Suppose -3*v + 4 = -2*o, 0*o - o - 5*v + 24 = 0. What is the second biggest value in b, h, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(3*i - 2*i - 4*i) + (2 - i - 2)*(3 - 5 + 1) + 3*i - 3*i + 5*i + i + 3*i - 3*i + (5 - 4 + 1)*(-i + 3*i + 0*i).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 776 (base 15) to base 16\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02 + 11.98. Let m = l - 11.935. Let d = m - -1.075. Round d to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/9, 26.211, 347, 2\/7?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 102*g**4 - 53*g**3 - 2*g**2 + 8287*g.\nAnswer: 1224*g**2 - 318*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 16*z**2 + 18*z - 84. Calculate g(8).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 707 or 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/221 - -1\/68. Let g = -163\/364 + z. What is the nearest to -2 in g, 3\/4, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32815 (base 9) in base 2?\nAnswer: 101010100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 13*y**6\/120 + y**5\/15 - 2*y**2. Find the third derivative of t(n) wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 41*f + 41*f - f**3 + ((4*f - f - f)*(-4*f + f + f) - 3*f - f**2 + 3*f - 5*f**2 - 4*f**2 - 2*f**2 - 7*f + 3*f**2 + 7*f)*(-2*f + 0*f + 0*f).\nAnswer: 25*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1310, 5274, 11836, 20996, 32754, 47110, 64064?\nAnswer: 83616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2c0ccb7 - -4?\nAnswer: -2c0ccb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 7*w**2 + w - 8. Let b be y(7). Let l = 2 - 2.9. Let p = 1.1 - l. Sort p, -1\/4, b in ascending order.\nAnswer: b, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 18490.08 millennia?\nAnswer: 184900.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08723 rounded to 3 dps?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90)\/(-4)*(-184)\/(-828).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - (-2)\/(-8))*275\/(-825). Suppose -4*t - 28 = 5*k + 17, 10 = -2*t. Which is the smallest value?  (a) 2\/15  (b) k  (c) g  (d) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -65\/2  (c) 0.3  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -7, -1, 1, -34, 15 in increasing order.\nAnswer: -34, -7, -4, -1, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.0551 + -0.0551. What is the second biggest value in -0.3, w, 2\/3, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x**3 - 25*x**2 - 7*x - 10. Calculate o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 338001, 49, -4, 3, -5.\nAnswer: -5, -4, 3, 49, 338001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 18639505, 18639532, 18639559, 18639586, 18639613, 18639640?\n\"Answer: 27*x + 18639478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7285.\nAnswer: 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -30, -43, -56, -69, -82?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-11)*t)\/(t**(6\/23)*t))**(3\/22))**(1\/59) assuming t is positive.\nAnswer: t**(-6\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 137 and 376 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1\/4  (b) -0.0372  (c) -5  (d) -0.026  (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttjt when four letters picked without replacement from tjjjjttjjjj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 15) + 6 + 110 + -107?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22308932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 396183.\nAnswer: 3, 41, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 283656 and 1776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of 3*l**4\/4 + 3*l**3 - 6*l**2 - 6. Suppose i(t) = 0. What is t?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -6\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b. Let t(n) be the third derivative of n**4\/8 + 5*n**2. Calculate t(m(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 212*o**2 - 3*o - 11. Calculate k(1).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*r - 48 = 25*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7 + 0*b - 1 - 2*b + 3*b. Let h be w(-8). What is the tens digit of 12 + -1*(-4)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(931)*-4)**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -14*v**2 - 6*v + 63. Let h(j) = 28*j**2 + 14*j - 127. Calculate 3*h(a) + 7*o(a).\nAnswer: -14*a**2 + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -349*a - 108 = -354*a + 192. Calculate the lowest common multiple of 216 and a.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1451.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, 3, -285, -1, -26, 2 in increasing order.\nAnswer: -285, -26, -1, 2, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from {c: 2, b: 1, l: 1, q: 1, h: 1, z: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/z**5)**(-2\/39))**44)**(-21))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -0.029, -0.4, -4\/5, 0.1, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 5  (c) -117  (d) -4  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 0*w - 6 = 5*r, 5*r - 26 = -4*w. Let c(z) = -z**3 - 3*z**2 + 4*z + 6. Let x be c(-5). What is the highest common divisor of w and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -98 - -98. Suppose 5*a = 5*q - 55, u = 4*q - 0*q - 3*a - 48. Calculate the least common multiple of q and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3170578219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -25, 3, -2, -10\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = x + 20, 0*j - 5*j = -4*x + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/4*j**4 - 1\/4*j**2 + 0*j - 1\/4*j**3 + 1\/4*j**5 + 0 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**8\/112 - 2*y**7\/35 - y**6\/10 + y**5\/10 + 5*y**4\/8 + y**3 - 26*y**2. Factor k(u).\nAnswer: -3*(u - 1)*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cceiiecdecmmcciieccd. What is prob of sequence edm?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 5*g + 0*g)*(4 - 4 - 1)*(-10 + 8 + 4)*(2*g - g + g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1489292523?\nAnswer: 3, 19, 8709313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 24180236 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3 + 7. Suppose 6*b - 54 = p*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 775873087?\nAnswer: 11, 571, 123527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.5932 * 12\nAnswer: -7.1184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/11)\/(o*(o*o**16*o)\/o))**27 assuming o is positive.\nAnswer: o**(-5373\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 193987 in increasing order.\nAnswer: -5, 3, 193987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o + 25*o = 18424. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4444 bigger than -4445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 222494 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72293 - 66534 - 154523 = -3921*r - 3196 for r.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -48737315 + 0.06.\nAnswer: -48737314.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5578239815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -3*w + 2*z, -2*w + 4*w = -5*z - 2. Let l be (45\/(-6))\/5*(-4)\/w. Is -22 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -6*o + 144. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**5 + d**5 + 0*d**5 - d**5 - 4*d**5 + 3*d**5 + (-2 - 1 - 1)*(-d**4 + 0*d**4 + 0*d**4)*(-2*d + 3*d - 4*d) - 279*d**4 + 279*d**4 - 115*d**5.\nAnswer: -130*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2. Let a(q) = 2*q - 12. Let k(u) = -2*a(u) - 12*z(u). Let b(g) = 15*g. What is b(k(t))?\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*i + 281 + 57 + 607 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 3*y - 3*y)*(5*y**2 - 3*y**2 - 3*y**2 + 6*y).\nAnswer: -y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -519*l + 338*l + 52*l - 990*l.\nAnswer: -1119*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5*h - 40 = 0, -3*u + 0*h = 4*h - 45. Put 3\/8, -2, -4\/5, u, 1\/3 in ascending order.\nAnswer: -2, -4\/5, 1\/3, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137162 is divided by 68460.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o - 11*o**2 + 6*o**2 - 3*o**2 + 8 + 13*o**3. Let j be y(-6). Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3801 - 5847 = -16*i. Suppose 3*w - 2*w - 807 = -4*x, -3*x - 3*w + i = 0. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 61376, 61377, 61364, 61331, 61272, 61181, 61052, 60879?\n\"Answer: -l**3 - l**2 + 11*l + 61367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-7)\/(-161))\/((-3)\/6) + 186\/23. Solve -12*k - c = -44 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1716100 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 3, 190 in ascending order.\nAnswer: 1, 2, 3, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(-40))\/((-1518)\/368)*10\/2. What is the fourth smallest value in 1\/4, -8, -2\/25, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 8)*(-9)\/27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 3:01 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -5*d + 14, 0*m + 4*d = -3*m + 13. Suppose 3*x - 16 = -x. Suppose -11 - 9 = -x*l. Put l, 1, m in descending order.\nAnswer: l, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(76) - sqrt(76)*2))\/sqrt(4) - (5*sqrt(684)*-3)**2.\nAnswer: -153900 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 7 + 4*c - 3*c - 3. Suppose -4*v + 24 = 3*o - 9*v, 2*o - 2*v = 12. What are the prime factors of k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sn when two letters picked without replacement from swnews?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-124)\/6*(-35445)\/22342165?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*w - 3*w - 10472. What are the prime factors of w?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 421*c*n*r**3 - 40*c*n*r**2 + 7*c*r**3 - 21*c*r - 63 wrt n?\nAnswer: 421*c*r**3 - 40*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 244 - 242. Suppose 4*z + 5*z - c*z = 0. Suppose -2*q = -0*q + 4*b - 16, 3*q + b = 14. Solve 2*d - q*d = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**2 - g. Let h be l(-1). Let q(i) = -3*i**2 - 120*i + 15. Let a = 226 - 266. Let b be q(a). Calculate the highest common factor of b and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p. Let y = 110 + -115. Let i(m) = m**3 + 5*m - 1. Determine y*k(x) + i(x).\nAnswer: x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63 and 5334.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 49 = -34. Solve -4*c - 12 = -4, -16 = -2*w + b*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -410*a + 2628*a + 789*a - 1276 wrt a.\nAnswer: 3007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7, -2232\/13, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -5*i + 24, 0 = -249*g + 250*g + 6*i - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 5*l**5\/3 + 6*l**4 + 17*l**3\/3 - 4*l\/3 = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 less than or equal to 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 12725828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10568 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0*a = -2*a - 1969, 5912 = 3*w - 5*a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5733, -5734, -5735, -5736?\nAnswer: -5737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 37 = 34. What is the third smallest value in -0.4, 0.3, -6, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 5*s - 3. Let m be f(2). Let b be (3 + (-6 - -5))\/(2\/m). What is the second derivative of 6*u**3 + 5*u**3 - 6*u**3 - 8*u + u**b wrt u?\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36169?\nAnswer: 7, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -i**3\/6 + 2*i**2 - 28*i + 22. Suppose 28 = -6*z - 44. Determine v(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 214672 - 678053333.\nAnswer: -677838661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 5. Let o = -6 - w. Let j be ((-1)\/((-18)\/(-24)))\/2. Which is the biggest value?  (a) -1\/7  (b) j  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14763.57 + -14643. Let l = c + -120. Let m = -0.07 + l. What is the nearest to 4 in m, 0.3, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 6 = -3*m. Suppose -2*l + 56 = m*l. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of q**4\/2 + q**3 - 2*q**2 + q + 9. Let g be r(3). Which is the nearest to g?  (a) 4  (b) 2\/7  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.4, -3\/31, 2.844, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, 2, 5, 0.08, 3\/434 in descending order.\nAnswer: 5, 2, 0.08, 3\/434, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 4*x + 15 = 0, -3*g + 2*x + 28 = -3. Let h(y) = y**3 - 9*y**2 + 5*y + 62. Let c be h(g). Is -1\/127 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r + u + 21, 87*r - 90*r + 14*u = -29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -100020021100 (base 3) in base 12?\nAnswer: -891b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 772781224 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, 4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/1863743 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(((-6)\/(-1))\/(-3)). Suppose j = 2*f - 4*f + 34. Suppose -3*t - 5*b + 19 = 0, -2*b = 3*t + 2*b - f. Solve t*x = -5 - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -740*z**5 + 4*z**3 - 7*z**3 + 716*z**5 + (4*z**5 - 2*z**5 - 3*z**5)*(2 + 2 - 3).\nAnswer: -25*z**5 - 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1193 is divided by 297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + ((-8)\/6)\/(6\/(-918)). Calculate the greatest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-297)*1251558\/1764\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwdmxwdww. Give prob of picking 1 d and 2 w.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -2. Let y be ((-10)\/(-50))\/((-2)\/10). Put y, b, 3 in descending order.\nAnswer: 3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, 0, 1\/2, -10, 128?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22178.\nAnswer: 2, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 10*f - 126. Let s(h) = 10*h - 126. Give -5*s(y) + 6*z(y).\nAnswer: 10*y - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from nnllttxtlt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + 3 + (-20)\/8. What is the third biggest value in 0, 2\/9, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a**2 - 4*a + 12*a**2 + 2*a)*(0*a**2 - a**2 + 2*a**2 + (1 - 3 + 3)*(-a**2 - 3*a**2 + 6*a**2)).\nAnswer: 15*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kfnxdjj. Give prob of sequence jfn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-330)\/(-40))\/11)\/(((-54)\/(-64))\/(-3)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 336*s - 338*s - 2*k, 0 = 5*s - 2*k - 5. Let b(z) = -21*z**3 - 2*z**2 + 4*z - 2. What is b(s)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 617797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k**2 + k**2 - 4*k**2 - 16*k**2.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 19*t**4 + 17*t**4 - 2*t**2 + 4*t**2 in the form d*t**2 + g + j*t**4 + i*t**3 + s*t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from vvpqqpqpqqqqvvpqvqiq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 75 - 40. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w. Let f be q(10). Is (-2)\/f + (-1182)\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1013 (base 13) to base 4\nAnswer: -202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/6*6\/(-15). Let x = 3.4 - -0.6. Which is the nearest to x?  (a) g  (b) 0.3  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 18, -6 in descending order.\nAnswer: 18, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + 5*i**2 - i - 1. Let h be k(-5). Let c be (-1 - 1) + (h - 2967\/(-3)). Suppose -3*q + c = -3506. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**3 - 126*b**2 - 4. Let a(s) = 4*s**3 - 251*s**2 - 10. Calculate 2*a(j) - 5*g(j).\nAnswer: -2*j**3 + 128*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 + 12759*v - 17 + 39605*v.\nAnswer: 52364*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18851*b**3*g**4 - 14927*b**3 - 7*b - 13*g**4 wrt g.\nAnswer: 75404*b**3*g**3 - 52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 588 + -582. Suppose 2*r = 5*h + 755, -2*r = 2*h - p*h - 760. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, w: 3}. Give prob of sequence cwwc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 + -1 + 6 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n**2 + 19350*n - 4443552 = 0.\nAnswer: -6672, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -14, 1, -5 in increasing order.\nAnswer: -14, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 21*x**4\/4 - 22*x**3\/9 - 35*x**2\/6 - 2*x + 1. Suppose p(w) = 0. What is w?\nAnswer: -3\/7, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o + 4. Suppose -6 = -t - 3. Let d be n(t). Are -2\/17 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5860819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1946, -3874, -5794, -7706, -9610?\n\"Answer: 4*m**2 - 1940*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1604, 3232, 4858, 6482, 8104, 9724?\n\"Answer: -w**2 + 1631*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*3 + (12 - -664) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - (-2 - -2))*-3. Suppose -3*z = -3*x - 52 + 7, w*z + x = 41. Suppose -1 - z = -5*j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -9*x**2 + 2*x + 3. Let z be b(-1). Find the common denominator of -38\/7 and 4970\/1295 + z\/2.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 260 + 227 = -3*n, 5*n = 2*u + 24. Calculate the highest common factor of u and 8385.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 83.87 + 0.13. Let w = q - 81. Let f be ((-2)\/(-6))\/(10\/36). Which is the smallest value?  (a) -1\/3  (b) w  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -1, 2\/3, -0.06 in decreasing order.\nAnswer: 2\/3, -0.06, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 38777413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -0.4  (c) -1\/8  (d) -196953\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108, 116, 336, 552?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1335 (base 6) to base 9.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 162836 - -100?\nAnswer: 163036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1068.3466 - 15\nAnswer: -1083.3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -276, -549, -822, -1095, -1368, -1641?\n\"Answer: -273*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 187426 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 o = -181 - -105. Let s = o - -77.26. What is s rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (13 + (-11 - -3)) - (-20 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 9*a - 4. Let c be m(-2). Let i = c + 42. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6198*h + 100. Calculate d(0).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -r - 11. Let m(y) = y + 10. Calculate the remainder when m(10) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((-6 - -7) + 25 - -9 - 6)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2998219 + 0?\nAnswer: 2998219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, o: 4, d: 1, s: 1, k: 5}. What is prob of picking 1 z and 1 k?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 45*h. Let q(j) be the first derivative of 5*j**2\/2 - 59. Calculate 55*q(s) - 6*x(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i - 5. Let a be j(-7). Let w = 5 + 1. Suppose -x + w = a*x. Put x, 3, -4 in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a + 5. Give n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r - 4. Let t = 37 - 30. What is the units digit of q(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.02 + 11.98. Let s = a - 18. Let u = -6 - s. Sort u, 4, 1 in increasing order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + -30. Let y = k - -34. Find the common denominator of (-65)\/6 + (-12)\/y and -17\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404.6 - -27920.97?\nAnswer: 28325.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o**3 + 8577*o**2 + o + 1245 wrt o.\nAnswer: -12*o + 17154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*r = 214*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*w + 2*d, 4*w - 8*w = -3*d - 28. Suppose 4*c = -2*b + 16, -5*c - 5 = 5*b - 35. Solve 14 = 5*s + 2*y, -4*y = b*s - 0*y - w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bsa when three letters picked without replacement from {b: 2, a: 2, s: 10, q: 1, k: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 75 - 328. Let i = o + 438. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 198300, -37, -5 in decreasing order.\nAnswer: 198300, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -2 + (5 + -5 - -267)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**2 - 2*g**2 - 2*g**2)*(6*g**2 + 0*g**2 - 3*g**2).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -298*d + 611 = -3*c, 253*c - 249*c + 26 = 3*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-3))\/((60\/18)\/(-10)). Let b(p) be the first derivative of p**2\/2 + 5*p - 1226. Let z(y) = 0*y - y + 0*y - 1. Determine d*b(f) + 3*z(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 108, 196, 298, 420, 568, 748, 966?\n\"Answer: h**3 + h**2 + 78*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.68079 millennia in years?\nAnswer: 63680.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-26)*f*(f*f**1*f)\/f*f assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 259859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*m - 159*m - 180 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -57 + 123\/2. Let a be 2\/6 + 50\/12. Factor -3\/2*u**3 - 3\/2 - a*u**2 - h*u.\nAnswer: -3*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 4*v - v**4 + v)*(29*v - 19793 + 19793).\nAnswer: -29*v**5 + 29*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15958*v = -15868*v + 3690 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -547941*c + 547937*c = -192 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -246 = 2*w + 4*w. Let f = 71 + w. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17447 and 495013?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 703553299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 6*q**2 + 5*q - 1. Let o be c(-5). Let v be (-1)\/(1*(o - 0)). Let u be (4 - (v + 1)) + 28. Solve -4*i = -20, -7*m = -2*m - 2*i + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99 is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6559168 and 192192?\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 13. Let x = -3 + w. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 2*p**2 - 1 + 0*p**2 - 4*p**2 + 5*p**2 + (2*p + 3*p - 4*p)*(0*p + 10*p + 5*p) - p**2 - 1 + 1 to the form o + f*p**2 + s*p and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -4*sqrt(176))*-1.\nAnswer: 1 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 8:48 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8258 + -8245. Solve 4*d - 52*u = -53*u + 8, -3*d + u + f = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/1168 and -40\/4307.\nAnswer: 68912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, g: 17}. Give prob of picking 2 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 132 = -i. Let z be i\/12 + 0 + 3. Which is the biggest value?  (a) -0.5  (b) -5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 + 13*h + 2. Let z be k(-13). Let g be (14\/3)\/((-30)\/(-45)). Solve -j - g + z = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - c = -40, -c - 4 = -2*g + c. Let k be g\/(-14)*(-558 - -2). Suppose -y + k = -893. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4*v + 0)*(-34*v + 34*v + 10*v**3) - v**2 + 107*v**4 + 1 - 110*v**4 - 2.\nAnswer: 37*v**4 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*a + 4*p - 19012 + 2072, -2*a = 4*p - 4250. Calculate the lowest common multiple of 270 and a.\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uevob. Give prob of sequence eovu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -1 - -2*52\/(-24).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/10 + 1 + (-19 - (-251082)\/12690).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 - (40 + -20 - 22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.46774 + 0.549. What is u rounded to 3 dps?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (11 - -7)\/(8\/44) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33 and 924.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 172557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 5\/993 and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3293, -4856, -6421, -7988?\nAnswer: -9557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 + 18*m - 27. Let t be 3\/(6\/19)*-2. What is w(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 76 and 26068?\nAnswer: 26068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - a805?\nAnswer: -a80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wvhbvwvvhhkwccbbb. What is prob of sequence wwkc?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 4*x - 5950 = -1768, x = -3*l - 2512. Let b = l - -1278. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-10) - ((-7944)\/1260 + 7). What is the biggest value in 2, -1\/4, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 11*w - 41 = 0, -3*w + 9433 - 9406 = -4*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 3*g**2 + 9*g. Determine f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -574 less than or equal to -575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -5. Let g = 3 + m. Let x = -14\/11 - -101\/88. Put 3\/4, g, x in decreasing order.\nAnswer: g, 3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/352 and 31\/16236.\nAnswer: 129888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -61*s - 21*s - 364*s - 375*s + 15. Is w(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0053126435 rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5414786 and 42693505?\nAnswer: 1110031130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -1. Suppose n + 10 = o. What is the closest to 0.1 in -3\/2, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2367)\/(-1052))\/(6\/32). Suppose 5*n - 738 = 642. Calculate the greatest common factor of p and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40938?\nAnswer: 2, 3, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1396?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/((-2205)\/28))\/(-4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (296*y - 619*y - 21 + 311*y)*(8*y**3 - 8*y**3 - 2*y**3).\nAnswer: 24*y**4 + 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(4\/18*3)*-1. Let c(w) = 4*w - 4. Determine c(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 g when three letters picked without replacement from {g: 1, x: 1, n: 1, o: 1, r: 1, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n + 13. Let c = -280 - -273. Determine s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 722*c**2\/11 - 19152*c\/11 + 127008\/11 = 0.\nAnswer: 252\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 24*o - 3023. Let u be n(68). What is the closest to -1 in 0, u, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3 = 4*s + 3, 0 = 3*d - 4*s - 22. Let b(i) = -2*i**2 + 2*i - 3. Give b(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v + 12 + 2*v**3 - 8*v**3 - 10. Let g be q(-2). Suppose 0 = -3*x - 3*s + 45, -5*x = s - 27 - g. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/33519876 and 49\/179892.\nAnswer: 100559628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 66?  (a) -2\/15  (b) 6  (c) -6  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of r**2\/2 + 15*r - 3. Let x be k(-12). Let y be (-5 + -1 + x)*16\/(-3). Solve 0 = -3*z + 3*s + 18, -2*z + 5*s + y = s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 + 49. Suppose r = -w + 6. Suppose 0 = r*y - y + 3*y. Sort -4, y, -2 in decreasing order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*z + 52*z - 9366. What is the remainder when z is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.041?  (a) 0  (b) 193  (c) -4\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3463588 rounded to 3 decimal places?\nAnswer: 0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 26754.84 minutes in weeks?\nAnswer: 2.65425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -496912 and -496893 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -123\/155 + 6\/31. What is the smallest value in z, 5, 1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 11:04 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-3)*1\/4. Let x(c) = c + 18. Let o be x(-14). Suppose 2*a + 2*a - o = 0. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -1) + (0 - (17 + -6) - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m. Let l(w) = 17*w**2 - 9*w. Give j(l(o)).\nAnswer: 51*o**2 - 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of -9*b**2\/2 + 11. Let t(x) = -x**2 + 6*x - 6. Let v(i) = i**2 - 7*i + 7. Let l(h) = -7*t(h) - 6*v(h). Give l(f(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*7*(-54)\/63*18\/(-297)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 2*t - 3*t)*(-3*t + 4*t + 2*t)*(168 - 248*t - 168 + (-2 - 1 + 1)*(1 - 2*t - 1) - 1 - t + 1).\nAnswer: 1470*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -52  (b) -3  (c) 5  (d) 3011  (e) 0.3  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 767026 (base 9) in base 10?\nAnswer: 457836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8570 divided by -100.\nAnswer: 857\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s**3 - 4*s**2 - 2*s - 1. Let o(k) = 238*k**2 - 1190*k + 2. Let d be o(5). Let n(r) = -13*r**3 + 17*r**2 + 9*r + 5. Give d*n(h) + 9*a(h).\nAnswer: h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150612 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 20*s**2 + 2*s - 29. What is the tens digit of h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z - 5*v + 88 - 118, -10*v = -z + 15 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2. Let f = 26 + -23. Let w(q) = 8 + f*q - 15 + 7. What is p(w(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 15. Let g = 95 + -41. Let w = g + -26. Calculate the smallest common multiple of b and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 19*h**2 - 15*h - 11. List the prime factors of p(-9).\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*w - 140*w = 8*j - 26*j + 9, 0 = 2*w + 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7133 + 7157. Which is bigger: w or 432\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**2 - 14*u - 9. Calculate z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10695 divided by 5?\nAnswer: -2139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**3 - 20*a**2 - 22*a + 2. Let z(k) = -187*k - 9339. Let f be z(-50). What is t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -405 + 402.41. Let h = -2.59 - u. What is the nearest to 1 in 3, h, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.68 - 4.68. Which is the closest to 3?  (a) 7  (b) -4  (c) -0.1  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-25)\/((-1175)\/(-1128))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4061, -8131, -12209, -16295?\n\"Answer: -4*g**2 - 4058*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -3*t**3 + 2*t**2 + 2*t + 1. Let b be q(-1). Let d = b + -90. Find the common denominator of -29\/10 and 1\/(2\/d)*(-6)\/36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32815.\nAnswer: 5, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fzo when three letters picked without replacement from {f: 3, o: 3, z: 2, w: 7, k: 5}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 6:07 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 1. Let b(n) = n - 3. Let c(t) = b(t) + 3*r(t). Let x(l) = -l**2. Give x(c(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 449.73795 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19.22126 and -0.4?\nAnswer: 7.688504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 106 - 103. Suppose 6998 - 1919 = c*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1799360, 1799375, 1799390, 1799405?\nAnswer: 1799420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o**3 - o**2 - 4*o - 4. Give k(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 40*y**2 + 201*y - 41. What is h(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 98527723123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-328244)\/(-13574) - 2*12) + 25\/(-198).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117618.9426 rounded to the nearest one hundred?\nAnswer: 117600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 7:06 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrmrmemmmmrrrmm. Give prob of picking 2 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23.673 + -0.227. Let j = u + 24. What is the third smallest value in 12, j, -0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*x - 15*x + 75642. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1*4\/(-20))\/((-42)\/315))\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 20*i**4 + 62*i**2 - 3*i. Let n(r) = -19*r**4 + r**3 - 63*r**2 + 2*r. Let y(g) = -2*f(g) - 3*n(g). Find the third derivative of y(s) wrt s.\nAnswer: 408*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(165)*-1)\/sqrt(3))\/(sqrt(5) + sqrt(25)\/sqrt(5)*2 + sqrt(5)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -97848 and -97819 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 632 and 1225922.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10685 = 17*a - 6757. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, 15, -8, -2 in decreasing order.\nAnswer: 15, 5, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7550 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -722  (b) -0.043  (c) 1\/4  (d) 4\/3  (e) -2  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 762016337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2*sqrt(152)*5 + sqrt(152) + (sqrt(152)*-1*3 - sqrt(152)))\/(-4*-2*(sqrt(8) + (sqrt(40)\/sqrt(5) - sqrt(8)))))**2.\nAnswer: 3211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 110 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 1533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -141124*z**2 + 282665*z.\nAnswer: -282248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -31, -38, -45, -52, -59?\n\"Answer: -7*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, -1, -4, 1 in decreasing order.\nAnswer: 22, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 44512 - 44554.122. Let g = 42 + y. Round g to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5441805 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 233974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g + 3*g + 2*g - g. Let o(i) = -2*i. Give o(v(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6 = l, -l - 9 - 3 = -4*h. Let o(x) = -x**3 + 3. Let d be o(l). Suppose d*b - b = -2*j + 26, 0 = -j - 4*b + 13. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.8144 - -0.0444. Round r to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 308.6 - 309. What is the third biggest value in l, 1\/8, 0.73?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-2\/21)*w)\/w**1)**(3\/2)\/((((w**(1\/4)\/w)\/w)\/(w*w\/((w\/w**(-1\/6)*w)\/w)))\/(w**4\/(w*w\/(w*w**0)))) assuming w is positive.\nAnswer: w**(583\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14254, -14911, -15568, -16225, -16882, -17539?\n\"Answer: -657*m - 13597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7169024, -14338052, -21507090, -28676144, -35845220, -43014324?\n\"Answer: -r**3 + r**2 - 7169024*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nqe when three letters picked without replacement from gqyngqneqgqnqvq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1540 by -55.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198019*k**2 - 92441*k**2 + 36625*k**2.\nAnswer: -253835*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 173 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29013159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1685*d - 431*d + 8696*d + 8504*d - 2065*d.\nAnswer: 16389*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(117)*-1 + -2.\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*a - 11*a + 73 + 292*a**3 - 291*a**3 in the form h*a**2 + p*a**3 + g*a + r and give r.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54 and 1647?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 6*y**3 + 6*y - 1. Let f(s) = -13*s + 1 - 1 - s**4 - 13*s**3 + 2. Let j(i) = -6*f(i) - 13*x(i). What is the derivative of j(o) wrt o?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 - -1) + 3 + -312 + 320?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -17. Sort z, -0.4, -4.\nAnswer: z, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2*2*(187\/(-17))\/11?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -38 + -10 + 28 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a = -3*v + 12*a - 12, 103 = -5*v + 73*a + 292 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 37*z - 29*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/16877 + -16889\/101262. Let x be (-61 - 4\/(-2))*-1. Let j = x + -121\/2. Which is the nearest to j?  (a) -0.3  (b) -3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -404 (base 5) to base 16\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v**2 - 3 - 6 - 5*v - 5*v + 5*v**2. What is the tens digit of m(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 + (-52)\/(-12))\/(4\/(-24)). Let y = 0.07 - 2.07. Which is the closest to y?  (a) 0.04  (b) 1\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 4) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (2*sqrt(176))**2)*1 - (5 + sqrt(891) + sqrt(891) + (1 + sqrt(891))**2).\nAnswer: -1601 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -5, -55\/57, -363?\nAnswer: -55\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 79) + 38 - -53?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 1 + 2*x)*(0 + 2 - 3) - 5*x + 2*x + x + x - 6*x + 4*x)*(-27 + 27 + 7*x) + x**2 + 0*x + 0*x as r + c*x**2 + g*x and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -412069, -1648700, -3709751, -6595222?\n\"Answer: -412210*b**2 - b + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -33*-2*(-2)\/(-4). Let h be 112\/1947 + (-6)\/k. Let y = -5737\/1062 - h. What is the common denominator of -3\/8 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -921 and -5965023.\nAnswer: -5965944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.10566 + -0.00566. What is the smallest value in d, 0.01, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, g: 2, t: 3, q: 4, e: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/14 - 1880\/(-329). Let o(d) = 1144*d - 1. Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**5 + 46*z**4\/7 + 16*z**3\/7 - 176*z**2\/7 + 160*z\/7 - 32\/7 = 0.\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3 - 4 = n, 4 = 4*n + 4*k. Suppose 0 = 5*m - c + 4*c - 44, 5*c - 29 = -n*m. Solve p = -i - m + 1, -5 = p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 2 - 0\/(16 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 125*y**2 - 2603*y - 563. Give s(21).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9075162*i**4 - 3256*i + 2732.\nAnswer: 108901944*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 5. Solve 0*q = 2*q + t*j - 28, 0 = -j + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 11049\/7 and 1577 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3\/2 + 342*t**2 + 43335*t\/2 + 240429.\nAnswer: 3*(t + 14)*(t + 107)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11110 (base 2) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 + 6*u + 13. Let w be t(4). Suppose 10 = z - 5*l, -4*l = w*z - 3*l - 76. Calculate the remainder when 44 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 332048144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349 is divided by 68.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*k = 23 - 4. Let j(r) be the first derivative of 0*r - 8\/3*r**3 + 2 + 1\/2*r**2. What is j(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4807469860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -17683 greater than or equal to -17680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1131 + 1949. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130700 is divided by 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 3 s when four letters picked without replacement from tztttsstttzsttst.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -77630.75 rounded to the nearest one thousand?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2071246 divided by -6?\nAnswer: 1035623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - (0 + sqrt(252))*-6) + ((sqrt(280) - (sqrt(280) + (sqrt(280)*2 - sqrt(280))))\/sqrt(10))\/sqrt(4))**2.\nAnswer: 11767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 148 - 81. Suppose 30 = 72*l - h*l. Sort -2, 2, l.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5284926371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4 - 10)*804\/469)\/1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/2)\/l**(1\/13))\/((l\/(l\/(l\/((l\/(l**(-2\/15)\/l))\/l))*l))\/(l*l\/l**(-2\/11))))**(-3\/10) assuming l is positive.\nAnswer: l**(-11747\/14300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 239, 731, 1543, 2681, 4151, 5959, 8111?\nAnswer: 10613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) - 4*sqrt(2)*4 - (sqrt(50) - sqrt(200)\/sqrt(4)).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113 + 11123?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -261141848*d. Let s(x) = -2*x. Calculate s(l(n)).\nAnswer: 522283696*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 3:08 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -94b5a (base 13) to base 7\nAnswer: -2163450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.01?  (a) 694  (b) -0.3  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s + 4*g - 7, -27 + 0 = 5*s - 3*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 192\/(-1176)*((-10915)\/(-444) + -24)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -20, -230, -618, -1178, -1904, -2790, -3830?\n\"Answer: v**3 - 95*v**2 + 68*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 5*o - 5 - 1, -2*p - 8 = 0. Solve -o = -2*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 27*m**3 + m**2 - 8*m + 4. Let l be c(2). Calculate the highest common divisor of l and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 3:40 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 46 = -11. Let h(v) = -9*v**3 - 43*v**2 - 11*v + 3. Calculate the remainder when h(-5) is divided by b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 1934*y**2 - 2*y. Does 69 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -3*m - 9, m + 4 - 1 = 0. Let a = -6 + 10. Suppose 0 = h + a - 5. Are s and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -165409*f**2*s - 9*f*s - 33*s - 47 wrt f?\nAnswer: -330818*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*f - 1, -2*l + 7163 = -5*f. What are the prime factors of l?\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + (sqrt(70) + -1*sqrt(70))*3)\/(sqrt(70)\/(2*sqrt(7) - sqrt(7))) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 42 - 37. Suppose 0*b + a = -b. Sort 3, b, -2 in descending order.\nAnswer: 3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*(51 + (-5 - -3)). Let i = -137 - v. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(4\/11)\/(v\/v**4*v))**(1\/11))**(-29) assuming v is positive.\nAnswer: v**(-754\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, x: 5, y: 2, i: 6, l: 5}. Give prob of sequence kllx.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20598630 to the nearest integer?\nAnswer: 4539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*p + 2050*p**2 - 1907*p**2 - 22*p in the form h + i*p**2 + d*p and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.7 - -2.3. Sort 0.4, a, 3 in ascending order.\nAnswer: a, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 2*n - 94 = 4*f, 114 = 4*f + 3*n. Let s be -3*(-4)\/((-20)\/(-125)). Calculate the highest common factor of s and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 645937, 1291878, 1937829, 2583790?\n\"Answer: 5*i**2 + 645926*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -104 + 124. Suppose -51 = a - 3*q, 3*q + 160 = -3*a - 17. Let t = 20 - a. Calculate the remainder when t is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*((-3)\/5*-1)\/((-4)\/((-1224)\/(-18))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000559446505 to 6 decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1404 and 3.\nAnswer: -0.4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358 = -58*x + 435 + 1701 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*z**2\/7 + 2812*z\/7 + 1200 = 0. What is z?\nAnswer: -700, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*5\/30*-34. Let s = 29 - l. Solve 3*m + 0*m = -s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/2240 and 55\/15194.\nAnswer: 17017280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/136 and 103\/26.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h + 2. Let u(p) = 342*p + 6. Give -2*d(b) + u(b).\nAnswer: 344*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + -9. Let o = z + -20.000072. Round o to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -832 = -2*y - 0*y. Suppose -y = l + 4*f, 2296 = -5*l + 3*f + 216. What is the tens digit of ((-6)\/4)\/(6\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140935?\nAnswer: 5, 71, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-250)\/(-75)*(-12)\/(-10). Let f(n) = 7*n**3 + 10*n**2 + 7*n + 4. Is f(y) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -55*c**2. Let k(p) be the first derivative of p**2 - 136. What is k(d(w))?\nAnswer: -110*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*o + 5*o. Let m be (-67986)\/(-5) + 1\/o. Let g = m + -24597. Round g to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 2:25 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -1, 16, -3, -5 in decreasing order.\nAnswer: 16, -1, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + 3*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 64*c**3 + 31510448*c**2 - 259964463*c + 536178951.\nAnswer: (c + 492359)*(8*c - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 58. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 4\/5  (b) 0  (c) 5  (d) -611\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 57187*q + 1715602. Calculate d(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g - 7 - 3 + 3*g.\nAnswer: -2*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2 + 2 + 7*p - 3*p. Let d be 9\/(-6)*12\/(-9). Let b(h) = h**2 - 4*h**2 + 8*h**2 - h**d. What is o(b(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w - 10 - 190 = 0. What is the lowest common multiple of 110 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 28*f - 24. Let o(x) = -26*x + 22. Let y(v) = -7*j(v) - 8*o(v). What is y(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 553848221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-14))**(-2\/73)*(m**(-2\/15)*m)**(-46) assuming m is positive.\nAnswer: m**(-43264\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 706259 rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 69 - 69.026. Let t = -0.574 + j. Let p = t + 0.9. What is the biggest value in 3, -1, -2, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 10*d**2 + 2*d + 0*d + 1 - 3*d**2. Let l = -6 + 7. Let s be 2\/(l\/((-3)\/6)). Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 5. Suppose b*v = 3*a + 154, -3*v - 4*a + 164 = 36. Calculate the remainder when v is divided by -6 + (-9)\/((-45)\/100).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-1 + (sqrt(80) - (sqrt(80) + 2)) - sqrt(80)) + (-5 + (sqrt(80) + sqrt(80) + 2*sqrt(80) - sqrt(80)) + sqrt(80))**2 + -5*(sqrt(80) + 2).\nAnswer: -184*sqrt(5) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -80, -147, -228, -329, -456, -615, -812, -1053?\n\"Answer: -c**3 - c**2 - 57*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + s + 20 = -0*s - 4*n, 4*s - 1125*n = -1153*n - 140 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 265 = -2642. Calculate the remainder when v is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*q - 3*z, -4*z = 2*q - 53 + 15. Suppose -5*d - 3 = -q. Suppose -d*m + 3*m = 6*m. Solve -w + j - 3*j + 13 = 0, m = 4*w - j - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 234\/(-156)*(-80)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11780422 and 77362.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 83  (b) 1  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 142 by 38.\nAnswer: 71\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 323 (base 9) to base 15\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 g when four letters picked without replacement from {g: 11, t: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100010010 (base 3) to base 16.\nAnswer: -66d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from ancpcipi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -z**4 + 124*z**3\/3 - 448*z**2 - 1024*z - 20. Let y(h) = 0. What is h?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 232334 - 10?\nAnswer: 232324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19395 and -2?\nAnswer: -38790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1601 + 1601. What is the second smallest value in 1, -0.3, h, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*s**3 - 311*s**3 + 177*s**3.\nAnswer: 87*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 2*p, -l - 4*p = -3*l. Suppose l*x + 294 = 2*x. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + sqrt(50))*-3.\nAnswer: -90*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372 - 1044 = 56*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -189 in descending order.\nAnswer: 2, -4, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 193991*h**2 + 194397*h**2 - 388367*h**2.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 61, 28, 0 in decreasing order.\nAnswer: 61, 28, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 124313 (base 7) to base 13.\nAnswer: a6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/15)\/(74\/111).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6760 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1916 is divided by 352?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -3*x**5\/20 - x**2 - 2*x. What is the derivative of f(s) wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(18\/3)*6326\/(-1). Let p = k + -2040. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24.5 + 11188\nAnswer: 11163.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 9 = -2*c - 3*x, 35 = 4*c + 5*x. Suppose -3*q = -5*f + 2*q - 35, 0 = c*f + q + 35. Let r be 3\/6 - f\/2. Let z(v) = 2*v**2 - 5*v. Give z(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.8*-1550.\nAnswer: -7440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11309 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 124 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100011001110 + 1000110100?\nAnswer: -10011010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 13*d**2. Let v(k) be the second derivative of 0 + 0*k**2 - 1\/3*k**3 + 3*k. Calculate v(p(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 5*k + 4 = 0, 2*k = -x + 2*x - 4. Solve x*y - 3 = -m - 1, -y = 3*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -14. Let s be ((-5)\/25)\/((-4)\/(-10)). Let a = 3.9 + -4. What is the closest to s in 0.1, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -132218, 5, -5 in decreasing order.\nAnswer: 5, -5, -132218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.064 + -7.994. Let r = 119 - 709\/6. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -42 + 45. Suppose a = 2*x + 4, -2*a = -v*x - 3 - 4. Solve -6 - 196*l - a*l**3 + 408*l - 202*l - 2*l**2 = 0 for l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -4. Suppose -2*k - 9 = -m. Suppose 0 = -2*v - 2*r + 46, v + 2*r = -k*r + 35. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 5*w + 4. What is the units digit of p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**2 + 8*u - 6. Let t(c) = -c - 1. Determine o(d) - t(d).\nAnswer: 2*d**2 + 9*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1452556 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = x - 5*g, -24 = -5*x + g + 2*g. Suppose u - 2 = 0, -u + 0*u = m - x. Let s = m - -40. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 88*i - 713. Calculate j(9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-22)\/59 + 1)*(55 + -59). Do -3 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*a - 15 = 0, 3*q + 5*a - 5 = 0. What is the greatest common factor of 890 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7 - -2)*1*1. Suppose -3*h = 6*g - g, 2*g - 3*h + 21 = 0. Suppose 5*r = -0*r - 5*z, -r + 15 = -2*z. Sort l, r, g in increasing order.\nAnswer: l, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18902409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 178?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.0582*-1.02\nAnswer: -0.059364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p = -8*p - 3, 5*c = -2*p + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0145316 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16350620 to the nearest integer?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 * -603878\nAnswer: -36232.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/2 - 106247910*x - 5644309189684050.\nAnswer: -(x + 106247910)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/42*(-28)\/(-6) - (-265)\/315. Factor 0 + 3\/7*t**4 + q*t**3 + 0*t + 6\/7*t**2.\nAnswer: 3*t**2*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(8)*2)\/(6*(-2*sqrt(4) - sqrt(4)) + sqrt(4) + sqrt(4)))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5029 - 5030. Which is the nearest to q?  (a) 3  (b) -0.2  (c) 12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-86410)\/(-6) + (-2)\/3. Let a be (-1 + j)\/(4\/350). Suppose -3*m = -m + a. Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and -35 - 2037\/(-21) - (1\/(-1) + -1).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1577285 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 104 + -212530?\nAnswer: -212422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -7, -5, -2, 9, 4, 1.\nAnswer: -7, -5, -2, -1, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -109  (b) -1\/39  (c) -3  (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of -81*s**4 + 2539*s**3\/6 - 18*s**2 - s - 65. Find the first derivative of f(y) wrt y.\nAnswer: -1944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**5\/3 - 116*z**4\/3 - 702*z**3 - 8936*z**2\/3 + 66616*z\/3 + 77440 = 0. What is z?\nAnswer: -22, -16, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -14*b**3 - 2*b**2 - 2*b - 1. Let m = -55 + 103. Let s be ((-10)\/(-15))\/((-32)\/m). Determine x(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -5*o + 12. What is l(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 202859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/4 and -2.33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*q - 2*q = -76, 0 = q - 2. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - 0) + 16 + (0 - -1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = 16 + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + q + 16 = 0. Sort 3, q, 1 in ascending order.\nAnswer: 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/(-2950)*38\/171*15?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (135 + 5 - 2 - (35 - 78 - -52))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - c - 133 = -108, -a - 5 = 2*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 151 + -154. Sort 2\/17, n, 4 in decreasing order.\nAnswer: 4, 2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -3, -1\/12, -9, -2\/983?\nAnswer: -2\/983","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1323 and 132489?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 3*x + 2*y + 64, 3*y = 16 - 28 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i. Suppose -5*l + 5*s - 75 = 0, 0*l - 2*l = -5*s + 33. Let w = l + 18. Let m(c) = 0*c - 4*c + 3*c + w*c. Calculate t(m(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g + 2 + 3 + 3 + 2. Calculate the lowest common multiple of 3 and q(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.6  (b) -0.3  (c) 0.54  (d) 12  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 6*d = -5*y + 38, -5*d = 5*y - 50. Let u be (-10 - -4)\/(-2) + 48 - y. Calculate the highest common divisor of 120 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ggglllggggllggllgll.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 847 a factor of 1411949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -19150, -38304, -57460, -76618?\n\"Answer: -l**2 - 19151*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2\/7 + 531*x - 2232\/7.\nAnswer: (x + 744)*(5*x - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9496\/5 + 1900. Factor 2\/5*l**3 - n*l - 2\/5*l**2 + 0.\nAnswer: 2*l*(l - 2)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11925962?\nAnswer: 2, 389, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 593, 2390, 5383, 9572, 14957, 21538?\nAnswer: 29315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1087\/7864?\nAnswer: 1087\/7864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 104536 + -5.16.\nAnswer: 104530.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from {e: 4, a: 2, d: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28272 and 40?\nAnswer: 141360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -276*x**3 + 27*x**3 + 78*x**3 - 198*x**3.\nAnswer: -369*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53230 divided by -21.\nAnswer: 53230\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2208 = -4*o + 4*d, -3*d - 1824 = -4*o + 389. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-2 - 3) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**2 - 4*u + 3*u + 3 + u in the form j + d*u**2 + x*u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 12, 3\/7, -4\/23?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 72399 divided by -4?\nAnswer: -72399\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 plus -192098?\nAnswer: -192033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(162) + sqrt(162) + -3 + -1 + 4) + -2.\nAnswer: -90*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ai when two letters picked without replacement from udiauaiaiuiadaudiddd?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (7 - (2 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6825946 (base 11) to base 15\nAnswer: 10b22a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-40))\/((-18)\/45).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 2*b**2 - 50*b - 18. What is y(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-3)*20\/40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 450851 and 2318.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1752, 3156, 4570, 6000, 7452, 8932?\nAnswer: 10446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4073.\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 4*q**2 + 2. Let y be f(2). Let v be (2 + y\/(-4))*-2. Suppose -4*k = -5*c - 2, -2*k - 2*c = -v - 5. Let n(x) = x**2 - 5*x - 2. Give n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**5\/3 - 5398*b**4\/9 + 12622*b**3\/9 - 602*b**2 - 5408*b\/9 + 3608\/9 = 0 for b.\nAnswer: -902, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*x**3 + 0*x**4 - 2*x**2 - 8*x**3 + x**4 + 2*x in the form z*x**2 + u*x**4 + l + q*x + g*x**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7047697 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u - 5 = 3*v - 6, 8*u + 100 = 22*v + 13*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: -8130540 divided by 66\nAnswer: -123190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - ((-2*sqrt(77) - sqrt(77))\/sqrt(11) - sqrt(7)))*-1 + 2.\nAnswer: -5*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -56, -70, -106, -170, -268, -406?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 737320664 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 549 + -546. Solve -l*a + 10 = 2*b - 0*a, b + 3*a = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8613 + 8613 - 229*s.\nAnswer: -229*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (12 - 0) + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 4*b + 15 = -3*s, 3*b - 4*s - 13 = 0. Solve m = -b*w - m - 16, 0 = -w + m - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 16 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 6:40 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1444 divide 40092660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 20*j**2 + 21*j + 21. Give d(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qccc when four letters picked without replacement from qqqqccqccqqqcqcqcqq.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 19, m: 1}. What is prob of sequence wwww?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 2:29 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -65*y - 5747. Give d(-88).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + -4 + 19 + -14 - -12. Let c be (16\/o)\/4 - (-2)\/(-7). Suppose 705 = -c*h + 5*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of l**4\/5 + l**3\/5 - 2*l**2\/5 - 3*l\/5 - 20. Let m(v) = 0. Calculate v.\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 120 + -120.176. Let d = 0.176304 + h. Round d to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - -14 - (-2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 2*d - 18. Let m be o(12). Let j(y) = 7*y**2 + y - 2. Let k be j(-2). Suppose 0 = -t + 1 + k. What is the greatest common divisor of t and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + g**2 + 30*g - 61. Give q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 10:09 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 2. Suppose 0 = 2*w - 17 - i. Let q(c) = 265*c + c**2 - 1648 - 279*c + 1664. What is q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**2))**(-11))**(-8\/7)\/((((d\/(d*(d\/(d*d*d**(-5\/3)*d*d)*d)\/d))\/d)\/(d*d*d**(2\/15)))\/(d*(d**0*d*d)\/d)**(-21)) assuming d is positive.\nAnswer: d**(-2287\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*u - 65 = 43 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-3\/8)*s**7\/s*((s**(-4\/5)\/s)\/s)**(-1\/23) assuming s is positive.\nAnswer: s**(6207\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k + k**5 + 2*k + k**5 - 4*k**5 + 5*k**5 - 3*k**5 + (4*k**5 - 2*k**5 - 3*k**5)*(1 - 3 + 6) + (120*k**2 - 82*k**3 - 120*k**2)*(2*k**2 + 0 + 0).\nAnswer: -168*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + 19c985?\nAnswer: 19c991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b\/(b\/(b\/(b\/(b*b*b**1*b*b)))))\/b)\/b**(-1\/6))**17 assuming b is positive.\nAnswer: b**(527\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 711*i**5\/5 - 517*i**3 + 373. What is the third derivative of n(v) wrt v?\nAnswer: 17064*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5 - -3) + (1662 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 5*s + 8 + 6 - 14. Let a(x) be the second derivative of 0 + 1\/6*x**3 - 2*x + 0*x**2. Determine m(a(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -13 + 2 + 10 + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 8 - 3)*(-3*g + 2*g + 2*g) + 899*g - 2 - 901*g - 3 to x + t*g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6537 or -6536?\nAnswer: -6536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/(-1) - -2) + 1. Let z(s) = -s**2 + s + 5. Let y be z(o). Let r = 1 - 0.5. What is the smallest value in y, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5830 + 30910. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -5\/4, 320, -34?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*k - 20*k = 210. What is the remainder when (-444)\/(-16)*(-8)\/(-2) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.45603376 to one decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78768919?\nAnswer: 967, 81457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18354*w**4 + 98*w - 1423736?\nAnswer: 73416*w**3 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -170.2 + -0.30364\nAnswer: -170.50364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 - 37*v**2 + 50*v + 501. Let q be c(-38). Suppose 2*a = -0*a + 390. Calculate the highest common factor of q and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 6*n - 19*n + 11*n - 13 + 3*n. Let q be x(12). Let s = -2 - -9. Sort 0, s, q in ascending order.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52942.3l in millilitres?\nAnswer: 52942300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = 2*q + 71 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 0.091.\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18481017?\nAnswer: 3, 6160339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 580325.\nAnswer: -1\/116065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4038 is divided by 2015.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p + 2*p**2 - 2*p - 15*p + 1 - 6*p**2 + 22*p - 22*p + (4 + 4*p - 4)*(0*p - p - 3*p) to a*p + z*p**2 + v and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -v + 4. Suppose -v*x + 25 = 5*k, 2*x + 5*k = 5*x. What is the remainder when x is divided by (4\/(-5))\/((-2)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**5\/4 + 105*h**4\/2 - 690*h**3 + 2980*h**2 - 5220*h + 3240.\nAnswer: -5*(h - 18)**2*(h - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.05 + -0.45. Suppose -5 + 21 = -4*l. Let v be (-18)\/66*2\/(-3). Which is the third smallest value?  (a) v  (b) k  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34589211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -2*(6*(sqrt(208) - sqrt(208)*3) + (3 + sqrt(208) - sqrt(208))*4)**2 + -4.\nAnswer: -60196 + 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1943748)\/(-126) - ((-33)\/(-21) - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/18 in 5\/4, 0.4, -3, 196?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 6*s. Suppose -4*o + n + 409 - 96 = 0, -2*n + 6 = 0. Suppose 0 = -b - 3*u + 17 + 18, s = 2*b - 3*u - o. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.563 - -0.138. Let f = 0.075 - p. Sort -5, 0.3, -2\/11, f in decreasing order.\nAnswer: f, 0.3, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2710)\/(-2168)*14\/(-10)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -478, -1138, -2510, -4828, -8326, -13238, -19798, -28240?\nAnswer: -38798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(275)*-1 - -2*sqrt(275)*1)**2 - (-1 + sqrt(275) + -2 + (-2*sqrt(275) + 4)**2).\nAnswer: -822 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 16, c: 4}. What is prob of picking 4 c?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 148 - (1804 - 1895)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5628)\/40)\/21 + 6\/(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hfhz when four letters picked without replacement from zozohhzzohlzzzof?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2 = 7. Suppose -6 = -5*s + 29. Suppose s = -2*o + a*y + 22, -2*y + 12 = o. Calculate the remainder when 29 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 8*s - 1. Determine u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 9*b**2 - 10*b + 3. Calculate a(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46688 and 2897574.\nAnswer: 2918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -9*x**3 + 3*x**2 + 3*x - 2. Suppose 4*b - 15 = -3. Let y(j) = 22*j + 30*j + 32*j - 111*j + 32*j - 3 + 5*j**2 - 17*j**3. Determine b*y(o) - 5*w(o).\nAnswer: -6*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(272) + 1 + sqrt(272)) - (sqrt(2448) + -1 + (1*sqrt(153))\/sqrt(9)))**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of b**4\/24 - 23*b**3\/3 - 92886*b**2. Let k(i) be the second derivative of -i**4\/12 + i. Give k(m(t)).\nAnswer: -t**2 + 92*t - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12710, -12140, -11570, -11000, -10430?\n\"Answer: 570*v - 13280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of 3*d**2\/2 - 3*d - 14. What is w(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -61042366 - -120295366. What is n rounded to the nearest 100000?\nAnswer: 59300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-18)*k)**(-24)\/(k**19)**(3\/11))**(-23) assuming k is positive.\nAnswer: k**(-95841\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 289607, 579212, 868819, 1158428, 1448039, 1737652, 2027267?\n\"Answer: b**2 + 289602*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a4a6 - 0?\nAnswer: a4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-60)\/(-14) - 2\/7. Suppose -2*f + 21 + 3 = 0. Let n = -7 + f. Put b, 1, n in decreasing order.\nAnswer: n, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 79096119 and 2595.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -4\/5  (c) -721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 56810807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2\/5 - 1638*u\/5 - 223587\/5.\nAnswer: -3*(u + 273)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 11*u**2 + 15*u - 9. Let i be p(10). Suppose 11 - i = -3*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + (2 - 0) + (-24)\/18. Let a be (-4)\/(0 + (1 - 2)). Suppose 4\/3*j**2 + j**3 - o*j**a - j - 2\/3 = 0. Calculate j.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -0*b + b - 16, -3*b + 5*v = -28. Let p be (b\/9)\/((-2)\/(-12)). Find w such that 4*w**3 - 2*w**2 + p*w**2 - 2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 2*c = -4*w + 25, 3*w - 3*c = 21 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/14)\/((-725)\/(-406)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -2) + -8 + -151 + 165?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -100, 609, 3, 4, -1 in descending order.\nAnswer: 609, 4, 3, -1, -10, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 - -479*3\/135. Let l = 112\/9 - z. Find the common denominator of l and (-252)\/(-80) + 3\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*3\/3 - 6\/(-1). Solve 0*r + 6 = -c*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2629817 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 790322374 to the power of 1\/2, to the nearest integer?\nAnswer: 28113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3197.6 weeks?\nAnswer: 1933908480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -97, -389, -869, -1531, -2369, -3377, -4549, -5879?\n\"Answer: d**3 - 100*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 12*r**2 - 16*r - 5. Let c be j(10). Let f = -371 - c. Let x(o) be the first derivative of o**4\/4 + 5*o**3\/3 - 3*o**2 + 1. Give x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x = x. What is the second smallest value in -1, 2\/11, x, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 966, 1931, 2896, 3861, 4826?\nAnswer: 5791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*h**3 + 43*h - 574997978 + 574997978.\nAnswer: -35*h**3 + 43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1076, -12, -229 in decreasing order.\nAnswer: 1076, -12, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**4\/12 - j**2. Let q(d) be the third derivative of -d**4\/12 - d**2. What is q(v(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 646120 (base 7) to base 3.\nAnswer: 12201102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 9:02 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42594, -42600, -42610, -42624, -42642?\nAnswer: -42664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, r: 2, t: 9}. Give prob of picking 2 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + n = 10. Suppose -5*v + 0*i - i = 6, 18 = -5*v + 2*i. Let k be 1 - (-14 + v - n). Solve 0 = m - 4*h - 0*h - k, 2*m - 4*h = 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2.384182 meters?\nAnswer: 0.002384182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/1148 and -45\/3185126.\nAnswer: 6370252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 + -11. Suppose -44*d - 168*d + 8480 = 0. Solve c*g + g = d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.04 or -0.222?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*j + 257582*j**2 + 5 + 1 - 257574*j**2 - 2*j**4 to r*j + u*j**4 + g*j**2 + c + a*j**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17096 + 17143.255. Round g to 1 decimal place.\nAnswer: 47.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 560 and 49707980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*b = -36*b + 217. Suppose -2*z = -2, -9 - 5 = -m + z. What is the third derivative of -5*k**2 + 31*k - m*k**5 - b*k wrt k?\nAnswer: -900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, s: 1, y: 2, o: 3, v: 3, b: 4}. Give prob of picking 1 s and 2 y.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7520 is divided by 375.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13\/((-1105)\/(-6732)) - 2\/10. Solve x = -24*d - 65 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1119644 divided by -317?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -136923 + 1473976097\/10765. Let x = f + 2013047\/43060. Let d = x - 47. Which is the second smallest value?  (a) 0.16  (b) -4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 266.40934 and -3.\nAnswer: -799.22802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3403 (base 6) to base 13\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 7*b**2 - 10*b - 2. Let c be x(5). Let o be (80\/(-6))\/(c\/3). Solve -5*l = o, 2*g + 2 + 0 = -2*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20868 and 5052735.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from ovvo?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y = x - 3, -5*y = 4*x + 2. Let k be (-2)\/(-6) + 7\/x. Let g(h) = 5*h**2 - 4*h - 3. Does 17 divide g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.02 + -0.08. Let t = 0 + i. Let f = -1 - -1. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 422 a factor of 44602446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30680535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 9:16 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 611691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/9 + 5\/18)*6. Let p = 20 + n. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 plus -4757?\nAnswer: -4721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1 = -4. Suppose -m = -a + 2. Let q = a + 24. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -412*o + 12 = -409*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.580747854 to 4 decimal places.\nAnswer: -0.5807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 24 = -6. Let i be ((-2)\/c)\/((-3)\/(-9)). Let u = 8 - 11. Sort u, -2\/21, i.\nAnswer: u, -2\/21, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -869 and -0.3.\nAnswer: 260.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (5 + sqrt(153))*3.\nAnswer: 16 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -272 + 224 - (6 - 41).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -106 + 223. Let l = -49 - -62. What is the highest common divisor of s and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37 - 38 + 26)*(3*s + 0*s - s).\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -260168625\/8296 + 532927\/17. Let q = z + 150\/61. Calculate the common denominator of -9\/44 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2098.517628+11\nAnswer: 2109.517628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 11*m**2 - 6*m - 18. Is l(43) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**6\/5 + 5*r**3\/6 - 4*r - 4. Let w(x) be the first derivative of m(x). Find the second derivative of w(a) wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(200) + -5)**2*6.\nAnswer: -840*sqrt(2) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 106636289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kym when three letters picked without replacement from yktgtymykyyyt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 111 - 112.2. Which is the biggest value?  (a) -2  (b) w  (c) 1\/5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 104\/(-40) - (-15438)\/5890?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s**3 - 2*s**2 + 2*s - 1. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-7)\/(-21)*57\/3 and 1*(-25 - -24)*(-53)\/69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5106 and 3450?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (35 - 0) + -2 + 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 941998 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9497 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149*r = -144*r + 3025. Let d = r - -609. Let -21\/8*m**2 - 15\/8*m**d - 3\/4*m + 0 - 27\/8*m**3 - 3\/8*m**5 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -0.09977234?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1437 + 1?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from afqbijai?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of g**4\/12 - 5*g**2. Let h(n) = 25*n**2. Determine h(o(t)).\nAnswer: 100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*p - 2*p - 3*p)*(-7 - 9 + 23)*(-155 - 17 - 11 - 164) in the form d + i*p and give i.\nAnswer: -2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 5:27 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5*c = -66. Suppose -i = t + 2*t - 36, i - c = 4*t. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 7 - -11 - (0 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2244941*0.4.\nAnswer: -0.08979764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 4 = 2*u + 24, 2*u + 14 = 3*w. Let b = -5 - u. Suppose 452 = b*i - 143. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27.5 + 28. Which is the closest to -1\/7?  (a) p  (b) 1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 26 = y, 57*j - 52*j - 7 = -3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + (-2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24479, -49635, -74793, -99953, -125115, -150279?\nAnswer: -175445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z**2 - 158 + 39 - z**2 - 15 in the form a*z**2 + k*z + q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9727669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - 7*a - 19. Suppose 29 - 71 = -4*p + 2*i, 5 = -5*i. Let h be x(p). What are the prime factors of (h - -1) + (-12)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -541 = 18*m - 4*h + 486 - 415, 2*m + h - 34 = -102 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 276507144 a multiple of 4392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + (-3)\/2)*(-311 + 253).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3134 and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1079, -3638, -7891, -13826, -21431, -30694?\nAnswer: -41603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 190176 and 190792 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -1. Let u be ((72\/(-42))\/(-2))\/(9\/6). Let s be ((-4)\/8)\/((-10)\/(-12)). Sort s, c, u.\nAnswer: s, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -579*s - 1154. Let c be w(-2). What is the second smallest value in 188, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 194304 divided by 46.\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.5 and 0.2.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i**2. Suppose 2*q = -5*w + 26, -5*w - 5*q + 20 = -15. Let h be 36\/54 - w\/(-3). Let k(s) = 15*s**h + 5*s**2 - 12*s**2. Determine k(p(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -76*i**3 - 13*i**2 - 18*i - 3240576?\nAnswer: -228*i**2 - 26*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**2 + 3*m**2 - 6*m**2 - m**2 - m**2 + 3*m**2 + (2 - 2 + 2*m)*(3 - 3 + 2*m) + 7*m**2 - 34 + 34)*(2*m**2 - 5*m**2 + 8*m**2).\nAnswer: 65*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - ((-1 - -2) + 1). Suppose 4 = -4*m - 3*j, 3*m + 5 = -t*j + 1. Calculate the common denominator of 65\/2 and -2 - m\/((-40)\/89).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 29561146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 8*d - 7*d + 5 + 3, -3*d - 4 + 7 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 2  (c) -0.3  (d) -7529  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n\/n**(-1\/7))*n)\/(n\/n**24) assuming n is positive.\nAnswer: n**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2519.95 and 27.\nAnswer: 68038.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 464 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 1:49 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3275687, -3275681, -3275675, -3275669, -3275663, -3275657?\n\"Answer: 6*k - 3275693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/((((y*y**(4\/3)*y)\/y)\/y)\/y))\/y**(-2\/11))\/(y**(-8)\/y*y**(-1)))\/((y**2\/y)**(2\/33)*(y\/(y**(-1)\/y))**(-26)) assuming y is positive.\nAnswer: y**(2930\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-552)\/(-1472))\/(34\/32)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**2*w)**(15\/8))**(-24))**26 assuming w is positive.\nAnswer: w**(-3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9177 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 9*v**3 - 44*v**2 - 65*v - 3. Let q(t) = 16*t**3 - 88*t**2 - 119*t - 6. What is -11*h(c) + 6*q(c)?\nAnswer: -3*c**3 - 44*c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 368 + 6541. What is the greatest common factor of l and 588?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1231320 (base 5) in base 2?\nAnswer: -101110110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2669508 to 4 dps.\nAnswer: 0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6140, 6187, 6234, 6281?\nAnswer: 6328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -2. Let r = -572.74 - -589.74. What is the smallest value in k, -0.4, 2\/15, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19 and -1.042.\nAnswer: 19.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 137, -1\/5 in decreasing order.\nAnswer: 137, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 3*b - 17*b + 10*b. Let t(n) be the second derivative of 0*n**3 + 1\/3*n**4 + 0 + 0*n**2 - 2*n. Give o(t(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1552630 (base 8) to base 2.\nAnswer: -1101101010110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from susuiuuijjsjutu. What is prob of sequence iu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 12*s - 20 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, y: 4}. Give prob of picking 4 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 + -30 + 15 + -17 + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-10)*(n*n*(n*n**(-4)*n)\/n)\/n)\/((n**9\/n*n*n)\/(n**6*n)) assuming n is positive.\nAnswer: n**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 258, 764, 1606, 2784, 4298, 6148, 8334?\nAnswer: 10856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 - 2*y + 1. Let t(d) = -d**3 + 13*d**2 - 10*d - 15. Let b be t(12). Suppose 2*p + 3*p - 2*v = b, 0 = p + 3*v + 5. Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, b: 1, x: 1, y: 1, h: 2, t: 2}. What is prob of picking 1 z and 2 t?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*m**3 + 1\/4*m + 0 + 1\/4*m**4 - 1\/4*m**2.\nAnswer: m*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/5*a**3 - 1936\/5 + 84\/5*a**2 + 792\/5*a = 0. Calculate a.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -83*13*(-3)\/(-6). Let p = 554 + x. Find the common denominator of -23\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 4:44 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -58986 - -4\nAnswer: -58982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 82 + -29. Suppose 39 = -4*u - 33. What is the remainder when h is divided by 8\/u + (-3680)\/(-180)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1654165 or -1654169?\nAnswer: -1654169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/5 + 12*p**2 - 338*p\/5 + 84.\nAnswer: 2*(p - 3)*(p - 2)*(p + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -4*w - 36, -19*c + 23*c + 5*w = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 5*s + 3. Let i be c(5). Let y be ((-12)\/9)\/(0 - (-6)\/(-243)). Suppose -4*t + 5*v - 7 = -y, -4*t + 3*v + 41 = 0. Solve i*a + 4 = -t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 1. Let j(n) = -235*n**3 + 30. Give -5*j(r) + 150*o(r).\nAnswer: 1025*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 5*n - 30, r - 6775*n + 58 = -6748*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 62 + 69. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3152025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 958018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4*(-6 + 2 - 15\/(-4)). Let l(v) be the first derivative of -2*v**2 + 0*v + 10\/3*v**3 - 2*v**4 + 2\/5*v**5 - i. Suppose l(t) = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -5*f**4 - 520*f**3 + 30985*f**2 - 233100*f = 0.\nAnswer: -148, 0, 9, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/((-128)\/(-24)))\/((-9)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n - 187 = -211 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -131343 * -4\nAnswer: 525372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -p**6*z**2 - 14*p**3*u**2*z**3 + 2*p**2*u**2*z**3 + 2*p**2*u**2*z**2 - 53*p*u*z**3 wrt p?\nAnswer: -120*p**3*z**2 - 84*u**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + ((-41 - -10) + 5 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 250507 * 0.1\nAnswer: 25050.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9\/26 + 2\/13. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 13 = -463*x + 458*x, 10*j + 3*x = 13*j - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, g: 3, r: 1, t: 1, m: 4, j: 5}. What is prob of picking 2 g and 1 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22582, -22588, -22596, -22606, -22618?\n\"Answer: -a**2 - 3*a - 22578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 750, 746, 740, 732, 722?\n\"Answer: -y**2 - y + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t + 196*t - 10*t = 22352 for t.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**3 + 2*d**3 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of o**6\/120 - o**5\/10 + o**4\/8 + 18897*o**2. Let h = 5 + -1. Give w(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 467663 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*r**2 - 4*r - 16.\nAnswer: 4*(r + 1)*(3*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 937353997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62765.\nAnswer: 5, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49420 and 432425?\nAnswer: 1729700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.986762nm to millimeters.\nAnswer: 0.000004986762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x**4\/6 + 101*x**3\/6 - 1291*x**2\/6 - 19901*x\/6 + 3515 = 0. Calculate x.\nAnswer: -111, -10, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 420*r + 421*r + 162, -4*t + 152 = 4*r. Solve t = -10*b + 80 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 16, 5 in ascending order.\nAnswer: -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 419 - 39. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 142*r - 147*r - 370. Let a = r - -149. Suppose -3*g = 4*q - 331, -a - 8 = -q - g. Is 41 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11657071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 25*p**2 + 100*p - 14. Determine j(20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/7 + 16\/7.\nAnswer: -(u - 4)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 8144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 16*o + 16*o + 14*o - 66*o + 3 + 15*o. Let d(y) = 2*y. What is d(b(q))?\nAnswer: -10*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v + 3*v)*(1 - 1 + v) - 198*v**2 + 125*v**2 + 130*v**2 + 0 - 2*v**2 + 0 - 4*v**2 + 0 + 0.\nAnswer: 53*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 371034729 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**7*w)\/(w*w**(-1\/3))*w**5\/w*w*w**(-5) assuming w is positive.\nAnswer: w**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 820 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(27) - sqrt(162)\/(2*sqrt(6))) + (1*(sqrt(27) + 2) - sqrt(27)) + 4*(-1*sqrt(27) + sqrt(27)))**2.\nAnswer: 21*sqrt(3) + 223\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8428 - -15526. Let w = g + -2507. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 40270 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.6 + 2.6. Which is the closest to 0?  (a) z  (b) -0.3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 times 0.1\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 6:18 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.127153 hours in minutes?\nAnswer: 487.62918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-42)\/28*(-8)\/(-6). Let q be (15\/x)\/(4\/(-24)). What is the greatest common factor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*a, -2*g - 4*a = 96 + 12. Which is bigger: -1\/3 or g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23950 + 37470. Is u a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5085 = 335*n - 395 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 110*h**2*x**3 - 277*h**2 - 312*h*x**3 - 10*h*x**2 + x**3 + 2*x**2 wrt h?\nAnswer: 220*x**3 - 554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -134935 - -279549. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 435.5 - 458.6. What is the biggest value in -2, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-107 + 7 + -7)\/(5\/(-17)). Let z = 365 - x. Factor 0 - 3\/5*w + 9\/5*w**3 + z*w**2.\nAnswer: 3*w*(w + 1)*(3*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*p - 10, -4*s = -6*p + 3*p + 1. Let w be 2*-3*s\/(-4). Let g(y) = -1 + 2 + 4*y**2 + y**w - 6. Determine g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 31\/4 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (((sqrt(99) + 0 + sqrt(99))*6 - -6*-2*sqrt(99))*5 - (((0 + sqrt(99))*-5 - (1 + sqrt(99) + 5)) + 1)))**2.\nAnswer: 360*sqrt(11) + 3664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -14 and 54?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -8*g + 94. Suppose 9*m - 13*m = -g. Is ((-27610)\/(-275))\/(1 - 3\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -6. Suppose 20 = 5*p + a, 0 = p + p - a - b. Let n(q) = 4*q + 2. What are the prime factors of n(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.009767 tonnes in grams?\nAnswer: 4009767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 22*j**2 - 23*j + 16. Determine t(21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o + 10 - 31 + 8*o - o + 5.\nAnswer: 10*o - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 996 + -4 - (-2 + 7). Suppose 8*j - g = 797. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1841 - 1838. Suppose -n - 4 = -x + 4*x, 0 = 5*n + 2*x + 20. Which is the biggest value?  (a) n  (b) 1  (c) -5  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68285993?\nAnswer: 109, 626477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 150, -88, 16 in increasing order.\nAnswer: -88, 16, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 4:23 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1887177 or 1887175?\nAnswer: 1887177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56038 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 4*r - 5. Let w(j) = -2*j - 4. Let t be w(-4). What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(32)*-4 - -1*sqrt(8)).\nAnswer: 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-17)\/(-10)*3\/(-63)*-7 and 157\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-4)*(k*k**(-5\/2)*k)\/k assuming k is positive.\nAnswer: k**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -0.03, -258?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**2 - 2*f - 1. Let n be x(-1). Let y(l) = 5*l - 3. Let b = -2696 - -10867\/4. Find the common denominator of b and y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*v - 276, 5*d + 0*v + 3*v = 1356. Suppose -1280 = 266*x - d*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.029 - 0.02. Let d = q - 3.951. What is the biggest value in 10, -2, d?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 2. Let b(n) = -n**2 - 4*n + 5. Let x be b(-4). Solve x*k + r*k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -4*f + 29, -f + 14 = 3*f - 2*d. Suppose 0 = -k - f + 4. Let s(p) = 2*p - 1. Let w be s(2). Solve w + k = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15906 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29707*y**2 + 2933 - 1504 - 1429 to the form l + m*y + o*y**2 and give o.\nAnswer: 29707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 919*a**2 + 2*a - 1984.\nAnswer: 1838*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 117309, 117307, 117305, 117303, 117301, 117299?\nAnswer: 117297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48206899, 96413802, 144620705, 192827608, 241034511?\nAnswer: 289241414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 514086534 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 148\/(-24) + 5 - -1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -12, 3, -5, 53 in decreasing order.\nAnswer: 53, 3, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**1\/z*z))**(-3)\/(z**(-1\/12))**46 assuming z is positive.\nAnswer: z**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.05519487 and -0.1.\nAnswer: -0.04480513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1539) + (-5 + sqrt(1539) + 0)**2.\nAnswer: -81*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6821663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 291\/5, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -478 by -5.\nAnswer: 478\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -42981915 rounded to the nearest ten thousand?\nAnswer: -42980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4438 divided by 4438\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -2  (c) -9\/3265  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 6:46 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35 - 34.9999972. Round o to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 430 is divided by (-4)\/(-12) - 11475\/(-81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2538 and 33?\nAnswer: 27918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {j: 3, x: 4, l: 1, s: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/2  (b) -10.3  (c) 4\/3  (d) 2  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2581.1 * -9.3.\nAnswer: 24004.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 2, g: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -268966477 or -2\/11?\nAnswer: -268966477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2502 + -1726. Suppose 4*a - 4*h - v = 0, 0 = a - 16*h + 12*h - 209. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1249*l + 310 - 310 + 89*l in the form i*l + o and give i.\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u**2 - 11*u - 1. Let y(k) = -9*k**2 + 21*k + 1. Let f(l) = -5*v(l) - 3*y(l). Let a be f(-4). Let s = a + -49. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 5 = -4*x, -2*x = -8*p + 3*p + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, x: 2}. Give prob of sequence xx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 966328 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -486505, -486650, -486795, -486940, -487085, -487230?\n\"Answer: -145*b - 486360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from {g: 4, d: 6, r: 6, c: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 864762 = -3*t + 2761218, -2417318 = -2*h - 3*t. Let y = 537882 - 239220. Let z = y - h. What is z rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x - 350934 = 43291. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 14) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 - 4*x**2 - 6*x - 33.\nAnswer: -4*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/6)\/(-7)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*c**3\/7 - 9579*c**2\/7 - 109026*c\/7 + 45144\/7 = 0. Calculate c.\nAnswer: -627, -12, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 + 3370*y - 119175.\nAnswer: (y - 35)*(y + 3405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o**2 + 21*o + 234. Give c(-8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0)**29\/(l**(1\/4)\/l**8))\/((((l\/l**0*l)\/l)\/(l\/((l*l*l\/l**(-7))\/l)))\/(l\/(l\/(l**(1\/3)\/l))*l**(-5))) assuming l is positive.\nAnswer: l**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z**2 - 2*z**2 + 5*z**2 + (-2*z - 3*z + 7*z)*(0*z - 3*z + 4*z) - 5*z**2 + 2*z**2 + 4*z**2 + 16*z - 16*z + 20*z**2 to f*z + t + i*z**2 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4583 and 28.\nAnswer: -128324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.39 + 0.29. Which is the closest to -2?  (a) 2\/15  (b) g  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 12*i - 32. Let w be b(-8). Is w at least as big as 1\/300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63536453 divided by -38671?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 + 6 - (-1475 - -1514)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154476 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -x**4\/2 - x**3\/3 + x**2 + x - 563. What is g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 670.8323 centuries to years.\nAnswer: 67083.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9219 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**2 - 6*h**2 + 2*h**2 + 4*h**2 - 5*h**2 + 2*h**2 + (-3*h**2 + 0*h**2 + h**2)*(-1 + 3 + 1) to the form v*h**2 + x + o*h and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 4*k**2 - 3*k + 1. Let r be i(2). Sort -1, 0.2, r.\nAnswer: -1, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 2  (c) -0.081  (d) -14\/9  (e) 0  (f) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**2\/8 + 21*w\/8 + 45\/4 = 0 for w.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 933072235 to the nearest integer?\nAnswer: 30546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - 6*z**2 - 95*z + 691. Determine t(0).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-6))\/(3\/27). Solve 3*k - o = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m + 14*m - 284 + 117 + 37*m to c + f*m and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 23\/143 or 0?\nAnswer: 23\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 12 = 2*k, -2*k - 4 = 3*h - 17. Suppose -k*b - 186 = -8*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30\/(-20)*-14 - (-3 - -1) and 19?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 208138.6ng in micrograms?\nAnswer: 208.1386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -6*r - 99, -5*r - 8 = 25*x - 12*x + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28792 is divided by 9594?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 3161, 0, 3, -1 in descending order.\nAnswer: 3161, 3, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (248 - 994*w + 995*w - 70)*(0*w + 2*w + 0*w + (1 + 4 - 3)*(-w + w + 2*w)) + 2*w**2 - 4*w**2 + 4*w**2.\nAnswer: 8*w**2 + 1068*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -130, -267, -448, -667, -918, -1195, -1492?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(612) + -1 - sqrt(119)\/sqrt(63).\nAnswer: -1 + 17*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(1 + 1)*(8 - 1157\/143)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.23 and -2419.\nAnswer: -2418.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.46161 months in centuries?\nAnswer: 0.015384675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/21)\/(2\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*y + 12. Solve 2*p - 4*i = y*p - 8, -5*p + 2*i = -10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1117430*p**4 - 320444*p**2?\nAnswer: -26818320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1976 and 1261.\nAnswer: 191672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16\/5*l - 32\/5 + 14\/5*l**2 + 2\/5*l**3.\nAnswer: 2*(l - 1)*(l + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6 + (-77)\/(-21). Suppose -z*w + 34 = -41. Suppose 4*u - f + 6*f - 23 = 0, -3*u + w = -4*f. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113 - 20 = 31*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n**4 + 2*n**3 - n. Let y(h) = 36*h**4 + 15*h**3 - h**2 - 8*h. Let z(m) = 14*t(m) - 2*y(m). Solve z(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -98058*c**2 - 27. Let f(h) = -h. Determine f(n(l)).\nAnswer: 98058*l**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n + 60093. Let u(t) = t. Give r(u(f)).\nAnswer: f + 60093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - (8 - 0))*5\/10. Let x be (1\/2)\/((-2)\/(-4)). Let k be x + -1 + b + 1. What is the nearest to -0.1 in -0.3, -5, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -543430 + 543430.4000009. Let o = 0.4 - t. What is o rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1966 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 0 - (20 - 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 5*l - 15 = 3*o, 0 = o - 3*l - 9. Suppose o = -t + 2*t. Suppose -g - 3*g + 64 = t. Solve y - g = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.14700669 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (1 + 7 - 26)*(-134)\/3 and 96?\nAnswer: 6432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-2 - ((-5 - -4) + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 6*g = -15. Let h be g + (-2 - (-1 + -1)). What is the least common multiple of 2 and (-52)\/h + (-4)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324 is divided by (8 - 6) + 0 + (82 - 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 - 3*y**2 - 2*y + 1. Let w be x(-3). Let g = w + 3. Is (2149\/2)\/(g\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2590 = 4*p + 3*x, 0 = 2*p + 2*x + 1310. Let d = 38348\/59 + p. Is -1 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11494 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.963 + -0.063. What is the second smallest value in n, 0, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -444 + 7?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5343102795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 86344159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**5\/2 + 7*d**4\/2 + 43*d**3\/2 + 17*d**2\/2 - 33*d = 0.\nAnswer: -3, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19580 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -461*g - 2. Let l be p(-1). Suppose -3*b - h = 267, -3*h + l = -6*b + b. Let x = b - -94. Solve 0 = -2*m, -7 = z - m - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5  (b) 3  (c) 0.3  (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**2. Let g(f) = 18. Let u(t) = 194*t - 72. Let v(x) = -4*g(x) - u(x). What is v(c(p))?\nAnswer: 582*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -230?  (a) -1\/6  (b) -9  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**6\/30 + 2*c**5\/15 - c**4\/2 + 9*c**2. Factor o(s).\nAnswer: 4*s*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bn when two letters picked without replacement from dqwnjddddjdbqbbdj?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = -13*o + 125. Suppose 40*h - 44*h + 2*p = 334, o*p = -4*h - 327. Sort h, 3, -1, 1 in decreasing order.\nAnswer: 3, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.15319 and -2.\nAnswer: 0.30638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 4. Let h = -45 + 49.8. Let l = h + g. Which is the closest to l?  (a) 2  (b) -5  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*s**2 - 88*s**2 + 287*s**2 - 96*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -171, -0.1, -0.05463 in decreasing order.\nAnswer: -0.05463, -0.1, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-630)\/(168\/(-8)) + 5\/(-10)*4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 8572, 9314, 10056, 10798, 11540, 12282?\n\"Answer: 742*y + 7830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 50?  (a) 4\/7  (b) 1\/4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 383691 + -205808. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 408+-181543\nAnswer: -181135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 8*p - 5. Let o be b(7). Let n be (104\/(-10))\/(o\/(-5)). Suppose -25 = -3*m + n. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-7)*v*v))**2*v**(-41)*(v\/v**(-35)*v)\/v assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 89 = -2*z, 0*b = -3*b - 3. Suppose -c = -z + 9. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 3:41 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -208530649, -208530647, -208530645, -208530643?\nAnswer: -208530641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -190 + 185. Which is the closest to 5?  (a) h  (b) -5\/3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -16*k - 15*k + 35*k - 14. Let r be t(7). Put r, -8, -4 in ascending order.\nAnswer: -8, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**4\/16 - 47*n**3 + 19881*n**2\/2 + 4144. Factor u(z).\nAnswer: z*(z - 282)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -15*d + 8. Let a(w) = 17*w - 10. Let p(v) = -4*a(v) - 5*c(v). Let m(o) = 7*o**2. What is p(m(y))?\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3934182 and 4589879.\nAnswer: 27539274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-13)\/(-4) - 1\/4. Suppose -x = -3*b - 15, 2*x = r*x - 5*b - 25. Suppose x = -5*l - 3*h + 2*h + 120, l - h - 24 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3895 - -3908. Let u(k) = k**3 - 14*k**2 + 14*k + 2. Calculate u(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14491 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -13  (b) 79777  (c) -0.4  (d) -0.5  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -36.5?  (a) -2\/7  (b) -0.2  (c) 11\/8  (d) -43  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x**2 - x - 5. Let n(r) = -2*r**2 + 0*r**2 - 2 + 10*r**2 - 2*r**2 - 7*r**2. Determine 7*n(y) - 2*o(y).\nAnswer: y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/40 + 75\/(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 33644*u - 101038. Determine a(3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 495213 is divided by 82.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41676?\nAnswer: 2, 3, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -c**6\/120 - c**5\/60 + 7*c**3\/6 + c**2 - 76*c + 80. Let m(l) be the second derivative of i(l). Give m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 26*n - 8652 = 3*n. Calculate the highest common factor of n and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268*n**3 - 945774*n**2 + 952562*n - 7056 = 0. Calculate n.\nAnswer: 1\/134, 1, 3528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -22 divided by 23\nAnswer: -22\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/9 - 712*m\/9 + 63368\/9.\nAnswer: 2*(m - 178)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((2\/3)\/((-70)\/(-42))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(2\/105)*m**(-12\/5) assuming m is positive.\nAnswer: m**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4483.6 rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -8 + -3 + (8 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 - (-1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 127547301019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*q - 8026, 5*j - q + 5782 = 25835. Let f(t) = -4*t**2 - j*t + 4012*t + 5*t**2. Let i(v) = 8*v**2 + 7*v - 3. Determine -6*f(u) + i(u).\nAnswer: 2*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z**2 + 6*z - 4. Let x be u(2). Let k(c) = 64*c**2 - 9*c + 1. Is k(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5 + 1)*(16 - 21)*(-2)\/12. Solve -5*i - 10 = -p, 2*i + x*p - 13 = 2*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -5*n**2. Let w(s) = s. Let o(c) = c**2 + 6*c. Let r(m) = -o(m) + 6*w(m). Let t(i) = 6*r(i) - v(i). Let u(b) = 5*b. What is u(t(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 8*n**2 + 21*n - 70. Is x(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.07 times 0.4?\nAnswer: 1.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 63004.23 - 61631. Let i = -1309.5 + h. Let n = i - 65. What is n rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1790*r + 1760*r + 683 + 37 = 0 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 14 = -u, -295*y + 5*u - 5 = -290*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 134537583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 4:06 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a + 7. Let g be l(-5). Suppose g*u = -2*u - 28. Let m(s) = s**2 + 5*s - 9. What are the prime factors of m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**2\/5 + 6891*c\/5 - 31244994\/5 = 0. What is c?\nAnswer: -4574, 2277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*c**2 + c**3 + 65*c**2 - 13*c**2 + 46*c**2 - 2*c**3 in the form j*c + t + x*c**2 + g*c**3 and give x.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*a + 10 + a**3 + 16*a in the form v + u*a**2 + s*a**3 + b*a and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*k**3\/5 - 184*k**2\/5 - 133*k - 98\/5.\nAnswer: -(k + 7)**2*(13*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -m - 3*o + 144, 4*o + 496 = 3*m. Suppose -15 = -5*x, 2*b - 4*x = 4*b - m. Suppose -5*u + b = 4. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -29*c**4 + 311*c**2 - 5*c + 5. Let q(m) = 30*m**4 - 310*m**2 + 6*m - 6. Let u(v) = -6*a(v) - 5*q(v). Find the third derivative of u(x) wrt x.\nAnswer: 576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**1*d)**22\/(d*d**(-3\/7)*d**(-2)))**46)**(20\/9) assuming d is positive.\nAnswer: d**(434240\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t - 9. Let j be o(6). Let q be (72\/(-4))\/(1 - 2). Let d = q + j. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -98*m - 213. Let v be c(-2). What is the closest to -2 in 5, 2, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(3 + ((2*(3*sqrt(90) - sqrt(90)))\/(((-3*sqrt(80) + sqrt(80))\/sqrt(4) + sqrt(20))\/sqrt(4)))**2).\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22.08 + -22.17. What is the third biggest value in q, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 7, w: 6, v: 1, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 7 = 28. Suppose -13*a = -14*a + z. Suppose 6*h = -a + 1. Is h less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2526 + 6641. Suppose 0*w - 1630 = 2*w - 2*m, 5*w + i = -3*m. Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5943*g**2 - 247*g + 247*g.\nAnswer: -5943*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 9. Let m = -17 + a. Is m + -3 + 1 + 340 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000516357 rounded to 7 decimal places?\nAnswer: 0.0000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 15, -6, -57, -150, -297, -510, -801?\n\"Answer: -2*w**3 - 3*w**2 + 2*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000004146 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -v**3 + 46 + 24*v + 5\/2*v**2 + 1\/12*v**4. Let h(n) be the first derivative of a(n). Give h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/90 and 119\/215928?\nAnswer: 1079640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, r: 1, s: 3}. What is prob of sequence rsxs?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1705 + -1708. Let f = -0.36 + 4.96. Let q = f + 0.4. Which is the second smallest value?  (a) q  (b) -0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 13*n + 91. What is h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -60, -2, 0.2, 379, 10 in decreasing order.\nAnswer: 379, 10, 0.2, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 5*g - 5. Let j be t(5). Suppose j*z - 312 = 16*z. Let h = z - 34. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*k**2 + k + 3*k**2 + 4*k**2 - 2*k**2 - 3*k**2 + 3*k**2 + (-2*k + k - k)*(6*k + 44*k + 65*k).\nAnswer: -231*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 8\/14*22\/(1496\/51)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 9*i**3 - 3*i**2 + 12*i + 1. What is the hundreds digit of n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150633129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 90042853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58593 + -16088. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 + 1)*(2*y - 5*y - 2*y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/3  (b) -4  (c) 3  (d) -609\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1984 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 + -2)\/((-3)\/9). Let x be ((-8)\/3 - 0)\/(6\/c). Solve 4*p + 0 = -4*k + x, 0 = -p - 5*k + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4b5ab + -21dd?\nAnswer: 493ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2)*1 + ((-18)\/(-36) - -19)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**3\/4 + 3231*f**2\/4 + 643050*f + 3829275 = 0. Calculate f.\nAnswer: -1830, -1395, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -5*w**3 - w**2 - 7*w + 7. Calculate r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 547*y + 211 = 525*y + 35 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i. Let d = -245 + 247. Let w(n) = -111*n**2 + 253*n**d - 124*n**2. Determine w(l(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110111011110110100101 (base 2) in base 5?\nAnswer: 4034000402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 9*p**2 - 7*p - 5. Let m(o) = -13*o**2 + 15*o**2 - 5*o**2 - 3*o + 7*o**2 - 2. Determine 3*d(c) - 7*m(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7441*h**2 + 14742*h**2 - 9737*h**2.\nAnswer: -2436*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 - 14*k - 60. Let w be q(10). Suppose -5*o - 3*t - 15199984 = t, w = -o - 3*t - 3039988. What is o rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of 0 + 10\/3*o**3 + 0*o + 5*o**2 - 3\/8*o**4 - 1187\/30*o**5. Let r be b(4). What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -202 + 4 - -156 - -160?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*w**4 + 14*w**4 + 19*w**4)*(-17*w + 9*w + 40*w + 3*w + w - 2*w + (-3 + 3 - 1)*(5*w - 3*w - w) + 3*w - 7*w + 2*w - 5*w - w + 5*w).\nAnswer: 660*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 6) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1069, 2158, 3291, 4468?\n\"Answer: 22*i**2 + 1023*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 717.4095cm in kilometers?\nAnswer: 0.007174095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2683426 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 22*k**3 - 7*k**2 + 5*k + 5. Let h(j) = j**2 + 568*j - 1137*j + 0*j**3 + 1 - 2*j**2 + 570*j - j**3. Determine -5*h(p) + s(p).\nAnswer: 27*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24239311 is divided by 712920.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -261498 and 57 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -125151 - -1?\nAnswer: -125150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/11, 2\/9, -32485, 0.2?\nAnswer: -32485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 12 = k + 6*b, 5*b = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44) + 5 + -1*sqrt(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + 8 + (-18)\/(8 + -2). Suppose -3*n = -o*n - 4*c + 4, -c = n - 19. Let r = n - 122\/5. What is the third biggest value in 2\/7, 1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -204 + 294. Let f be 10\/(-225)*-9 + (-76)\/u. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 5\/3, -11 in ascending order.\nAnswer: -11, -4, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 766 in 1\/6, 16, 2\/5, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2 - 1 - 2 - 4 + 3*u**2. Is 9 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, d: 1, h: 2, p: 3, n: 3, o: 2}. Give prob of sequence nno.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -79*s**3 + s**2 - 3*s - 3. Calculate c(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2423 divided by -68.\nAnswer: 2423\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 1 - 3 = 0. Let k(l) = 4*l - 1. Determine k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**4 + 28195*m**3 + 28200*m**2 - 112780*m - 112784 = 0. What is m?\nAnswer: -2, -1, 2, 28196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*q - 2385 = 4*q, -2*q + 9510 = 4*k. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 1\/(2\/20). Find the third derivative of -10*p**4 + 10 - p**4 + 2*p**2 - h wrt p.\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 12*a - 3. What is the tens digit of q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 149268 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 36\/(-27)*9\/(-120). Put 8, w, -4\/3, 0.5 in ascending order.\nAnswer: -4\/3, w, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2800 = 58*r - 63*r. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 1:39 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + m - 2*p = 127, -5*p + 403 = 3*m. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*i - 20*i - 39*i**2 - 174*i**2.\nAnswer: -213*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2767345 and 31045?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 1. Let r(m) = 6*m - 2. Let d(u) = 3*q(u) - r(u). Let v(i) = -3*i + 3. Let g = 8 + -3. Suppose -g*s - 4*b = 9, 2 + 10 = 3*b. Give s*v(o) + 3*d(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81630407.\nAnswer: 107, 762901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1816643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 49 = 4*r - 16, 2*r = 2*f - 14. Let v(l) = 10*l - 2. Let w be v(f). What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 4*z**2 + 3. Let s be t(5). Suppose 3*g = 4*k - 2*g - 56, 5*g = -2*k + s. Calculate the lowest common multiple of k and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2*u = -14. Find the third derivative of -4*b**2 + 0*b**2 - 4*b**2 - u*b**6 + 2*b**2 wrt b.\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h**2 - 108*h - 39. Let r be b(22). Solve -3*p + 2 = -r*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 4*q - 57 = -o, o = 5*q + 7. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {h: 10, b: 2, i: 1, c: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -2 - (-4 - -4) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbkkamaffbmfmm. Give prob of picking 1 b and 1 m.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24373965 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -537*r**3 + 18*r**2 - 6*r - 3. Let l(w) = -1075*w**3 + 39*w**2 - 13*w - 7. What is 13*i(d) - 6*l(d)?\nAnswer: -531*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -10. Suppose 5*c + 19 = -2*i - 8, 0 = -5*c + 3*i - 22. Put 0, c, y in decreasing order.\nAnswer: 0, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0)**(-1\/14)\/((((q*q*q*q*q**0*q)\/q)\/q)\/(q**(3\/5)*q))*((q\/(q**(-2\/9)\/q))\/q)\/((q\/q**(2\/15)*q)\/q)*(q\/q**(2\/7))**(6\/5) assuming q is positive.\nAnswer: q**(-59\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {r: 6, g: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-5)*(3353\/(-958) - 11\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of 837*n**5\/10 + n**3\/3 + 658*n**2 - 564*n. What is the second derivative of u(m) wrt m?\nAnswer: 10044*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -24 in 2\/11, -3, -17, -0.4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*o**3*x**3 - 9325*o**3 + 103*o**2*x**2 - 30*o**2 + 3*o*x**3 wrt o?\nAnswer: 144*x**3 - 55950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 1050 = -28*f. Suppose -4*w + f - 14 = 0. Solve 17 - w = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3*d - 336*b**2*d - 2592*b*d - 3*d wrt b?\nAnswer: 12*b*d - 672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*h - 18 = 0, c - 2*h + 14 = h. Let p be c\/(3 + 0 + -6). Let n = -2 + 4. Put n, p, 4 in decreasing order.\nAnswer: 4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/((r\/(r\/(r\/(r*r**(1\/2)*r*r))))\/r)*r*r**(-2\/5)*r*r assuming r is positive.\nAnswer: r**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1287 + 110 = -147*u + 1028 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (7 + (-76)\/12)\/((-2)\/(-12)). Is 104 - (6 - r)\/(-7 - -8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {u: 9, f: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276719?\nAnswer: 167, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7201*a - 14440*a + 7189*a.\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 7 - (-284 - -250) - 14) + -31.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.005921 millennia in months?\nAnswer: 60071.052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: aa258 (base 16) to base 15\nAnswer: db765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 5\/566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 694701785?\nAnswer: 5, 31, 197, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 209470\/9 + -23273. Put -5, 3\/4, x, -2, 0.3 in increasing order.\nAnswer: -5, -2, 0.3, 3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 322026160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-275)\/2310*-7*((-3)\/(-4))\/(25\/(-690)).\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 13*o + 13. Let z be s(14). Let n be 0 + 2 + 3 + z. Let q be (0 - 2)\/(6\/(-15)). Solve -g + 4*g - 7 = -n*v, 3*g = -5*v + q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 16) + (-804 - -826)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 20. Suppose -2*b + 6 + 2 = 0. Suppose 0*h + 12 = 3*h. Solve k*z = b + h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4)*4*(-3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 13. Suppose 3*j - m*r = 1, 5*j + 1 = 4*r + 7. Suppose 0*y = j*y + 8. Is y at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165 a factor of 421110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2484898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*(h*h**(-4)\/h)\/h*h\/(h*h*h**(-2\/9))*(h\/(h*h\/h**8*h))\/((h*h**(2\/15)\/h)\/h*h) assuming h is positive.\nAnswer: h**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.289 + 0.011. Which is the second biggest value?  (a) 4  (b) 0.1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 0, -2*t - 8 = -632*w + 630*w. Factor -4\/9*y**3 + 0 + 4\/9*y - 2\/9*y**w + 2\/9*y**2.\nAnswer: -2*y*(y - 1)*(y + 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, c: 4, k: 1, i: 1}. What is prob of picking 4 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 3*m**3 + 1116*m**2 + 102663*m - 209814 = 0?\nAnswer: -187, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -114.93 * 8.21.\nAnswer: -943.5753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-4) - 1)\/((-10)\/(-100)). Suppose -y = 5*h - 4*y - 91, 0 = g*h + 4*y - 112. Solve -4*j - h = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11973.95 - -427817.2.\nAnswer: 439791.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 287\/(-308) + 0 + (-12)\/(-16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*25*4\/(-800).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 22*g + 37. Is 7 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2353494 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 6*w - 1. Let d be c(1). Suppose 4*y - 3*q - d = 0, -2*y - 3*q - 13 = 2*y. Let s = 2 - y. Calculate the remainder when 5 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 + (-369)\/(-27))*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rs when two letters picked without replacement from rrsrrrrrsrssrr?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 745*z**5 + 4*z**3 - z**2 + 2*z - 3265?\nAnswer: 14900*z**3 + 24*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1336 - -1399. Solve -12*p - 3 = -q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -61, -14300, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 16. What is the units digit of 3 + x\/(3\/(-189))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -0 + 5. Suppose -1 + q = j. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -15*m**2. Let h(j) be the first derivative of 3*j**2\/2 - 117. Give w(h(u)).\nAnswer: -135*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10548 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 6*s - 8. Let n(p) = p**2 + 2*p - 2. Let g be n(-4). Give f(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 12:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90783.\nAnswer: 3, 7, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + d**2 - 129*d + 359. Calculate a(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*p - 76*p + 140*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8397 is divided by 457?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, 4, -0.15, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -4\/55*w**5 + 0*w**3 - 1\/33*w**6 + 0*w**2 + 0*w - 7 - 1\/22*w**4. Factor v(d).\nAnswer: -2*d**3*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/26*212\/265. What is the nearest to -1\/3 in 0.03, 2, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from uuuuhhtthhtul.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -45 or 71?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 14901 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2485555344 and 472?\nAnswer: 2485555816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -142 - -145 - (-2 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(9)*1 + sqrt(9))*-4)\/(2*sqrt(147)).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.13  (b) 0.1  (c) -5  (d) -3.8  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-136)\/(-2550)*25*-12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22031.5 + 22031.3. Let j(m) = m**3 - 3*m**2 - 2*m - 5. Let t be j(4). Let i be (-5)\/(-2) - t\/6. Which is the biggest value?  (a) 16  (b) n  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/28 and 45\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/9*1080\/240?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 106 = 19. Suppose -7 = -i - k, -4*i - k + s = -i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9342 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359010 is divided by 119659.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 99*g - 45. Let t be 30\/(-50) + (-2 - (-86)\/10). Let n be w(t). Let m(z) = -n + 549 - 9*z**2. Let f(u) = -2*u**2. What is m(f(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -102*d*m**2 + 89*d*m + 2*m**2 wrt m.\nAnswer: -204*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 20855281, 20855302, 20855323?\n\"Answer: 21*x + 20855260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/4 - 110\/(-8). Suppose -5*c + o = -536. Suppose -2*d + 7*d = c. What is the lowest common multiple of 2 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*a + 3*a. Suppose -k = -a - 1. Let w = 0.1 + -0.1. What is the closest to w in k, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003549454 rounded to seven decimal places?\nAnswer: -0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (6 + 5)) + 4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 139672 divided by -2686\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + -0.2. Let h = -39 + 38.8. Let o = -141 - -141.1. Which is the third smallest value?  (a) h  (b) -2\/7  (c) y  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-11431)\/19596)\/((-14)\/16))\/(3\/1080*2)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand r + r**2 - r + (2*r + 3 - 3)*(5*r - r - 3*r) - 4*r - 2*r**2 + 4*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n**2 + 23*n + 67. Give v(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.7782 to 2 decimal places.\nAnswer: -7.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -1) + 3102 + -3117?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 31\/5 - 0 - (-246)\/(-1230). Calculate the highest common factor of 1242 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 12 = -m. Suppose -m*n = 2*c - 35, -c + 1 = -0*c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d**2 + 551*d + 2*d**2 + 575*d - 1123*d + 266. What is j(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**2*n*u**2 + 2*c**2*n*u + c**2 - 12250417*c*n*u**2 - c*u - 71*c + 25*n*u + n + 743*u wrt u?\nAnswer: 2*c**2*n - 24500834*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**3 + 18*k + 95*k + 2*k**3 + (-2*k + 2*k + 2*k)*(-k**2 + 0*k**2 + 0*k**2) - k + k + 3*k**3.\nAnswer: 4*k**3 + 113*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -42, -88, -170, -300, -490, -752?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n - 1. Let l be t(-4). Let a(b) = b**l - 4 - 1 + 4 - 2*b. Let u be a(-1). Solve u*x + x = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 738291.7ns to seconds.\nAnswer: 0.0007382917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 34, 534.16 in decreasing order.\nAnswer: 534.16, 34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/1470 and -53\/1120875.\nAnswer: 2241750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 802, 3280, 7410, 13192?\n\"Answer: 826*z**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 44 = v, -4*v + 2*v + 4 = 0. Let f(s) = s**2 - 10*s - 7. Let b be f(6). Let i = -5 - b. What is the remainder when i is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from avvvadzzvvavjd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/6*24\/(-2). Let l = 4 - q. Let m(c) = 2*c**2 + 1. Calculate the lowest common multiple of m(-2) and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 0.12083972?\nAnswer: 0.36251916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4121435 (base 6) in base 16?\nAnswer: 302ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 26\/(-273) - (-2)\/21. Factor 0 + d*v + 2\/5*v**2 + 2\/5*v**3.\nAnswer: 2*v**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52*-33\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/4, -5, 255, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 26, 63, 116?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 6*h**2 - 12*h - 15. What is j(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 8*c - 96, -9*c + 12*c - 33 = 3*p. Solve -4*w + 8 = -12*m + c*m, w = m + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*2\/(-4)*-3. Let x = 13\/5 + q. Let l = -7887 + 7904. Which is the smallest value?  (a) l  (b) -1\/3  (c) x  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4260 (base 11) to base 14\nAnswer: 20a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from {a: 2, y: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2908350 by -969450.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 375 = -111. What is the remainder when (0 - 260\/(-1)) + 1 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 1. Let g(t) = -107*t + 55*t + 54*t - 5. What is -2*c(i) - g(i)?\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + u - 4. Let l be d(-3). Let b(r) = 0*r - 5 - 2*r**3 + 3*r - 2 - 5*r**l + r**3. What are the prime factors of b(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**3\/13 + 740*l**2\/13 - 61166*l\/13 - 256376\/13 = 0. Calculate l.\nAnswer: -439, -4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7326, 58743, 198342, 470211, 918438, 1587111?\n\"Answer: 7348*h**3 + 3*h**2 - 28*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 - 10*a**2 + 11*a + 21. Calculate the least common multiple of 20 and c(-11).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.7636132 decades?\nAnswer: 7.636132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -156*m**3 - 5*m**2 + m + 6. What is the hundreds digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10452 + 16230. Suppose -w = 5*f - 9650, 0 = f + 2*f + 3*w - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b - 10. Give d(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1319 a factor of 3041614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - (0 + (-16)\/1). Suppose x + i = 103. Suppose 0 = 5*l - x + 19. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 20*t**2 - t + 24. Let p be n(20). Suppose -p*v - 14 = -5*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -814111 + -1?\nAnswer: -814112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.3?  (a) 51\/4  (b) -5  (c) -3\/2  (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6 + 0)*21\/(504\/128). What is the highest common factor of 48 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 139566220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkxaxyaaayuxaywkaa. What is prob of picking 1 u and 1 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4 + 6 - 7*k**2 - 10 + k**3 + 10 - 2*k. Let l be m(7). Let o be ((-15)\/10 - 0)*l\/3. Solve 22 = -4*z - 2*i, -z - i + 3*i = -o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -1)\/(-27) - 56*(-1769)\/812520?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5646\/7 + -806. Which is the smallest value?  (a) -1\/3  (b) 0.3  (c) g  (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/9, 1, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 3 + 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19329948 by -33.\nAnswer: -585756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/6048 and 11\/10126.\nAnswer: 30621024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171) + sqrt(171) + 2*sqrt(171))*-1 - ((2*sqrt(171) - sqrt(171)) + sqrt(171))*-2)\/(sqrt(18)\/((sqrt(100)\/sqrt(5))\/sqrt(10))))**2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20587*z**3 + 20585*z**3 - 61754*z**3 + 20598*z**3 + 1.\nAnswer: 16*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.33 - -189.33. Let w = -199 + i. Which is the smallest value?  (a) w  (b) -3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqmqmq. What is prob of picking 3 q and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 + 0 + 0)*(4*d**3 - 5*d**3 - 4*d + 9*d).\nAnswer: -2*d**5 + 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1278.93483 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -21*z + 37. Calculate m(7).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -120, 3, 5, -5 in ascending order.\nAnswer: -120, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 23*t**2 + 20*t - 9. Suppose -3 = -z - 2*c + 4*c, 3 = 3*c. Let h be 4 + -22 + z + 7. Let q(m) = -8*m**2 - 7*m + 3. Give h*y(f) - 17*q(f).\nAnswer: -2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6606459320.58 take away 0.067?\nAnswer: -6606459320.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 313 * -2\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (30\/7)\/((-25)\/(-125)*(-30)\/84)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 3 - 2*a - 13 - 9 in the form h*a + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 129*j**2 + 21. Let g(p) = 43*p**2 + 7. Let r(z) = -7*g(z) + 2*w(z). Differentiate r(d) with respect to d.\nAnswer: -86*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 28*1\/4 - 2. Let g(w) = -w**2 + 8*w - 3. Let q be g(7). Suppose -6*u = j*i - q*u, -4*i = 2*u + 2. Solve 2*v = 5*o - 20, 3*v + 23 = 2*o + i*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 7*f = -24. Calculate the remainder when 46 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5140)\/(-3598)*420\/(-50)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*n - 64. Let d = 3 - n. What is the highest common divisor of 60 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -173, -3, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - -9. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 396074 to the power of 1\/2, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + h = -99, 2*p - 14 = 5*h + 21. Let a(j) = 7*j**3 - 2*j**2 + j + 1. Let q be a(1). Solve q*n = 3*n + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.4 + 53.6. Let n = s + -54. Let w = 86 - 432\/5. What is the second smallest value in n, 0.4, w, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -0.1, 5, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 0, 28, 130, 342, 700, 1240, 1998?\n\"Answer: 6*g**3 + g**2 - 17*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -7*g**2 + 462*g - 598. Give d(65).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3627752, -7255495, -10883238?\nAnswer: -14510981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -82404.837393 and 9.\nAnswer: -82395.837393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 23*q**2. Let n(j) = -586*j**2 + j - 3. Calculate n(x(k)).\nAnswer: -309994*k**4 + 23*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 969943746 to the nearest integer?\nAnswer: 31144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*r*y**4 + r*y**3 - r*y**2 - 6*r*y + 9816*y**3 - 1029*y wrt y.\nAnswer: -192*r*y + 6*r + 58896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -2\/3*q**3 - 3 + 0*q**2 + q. Differentiate t(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2469 + 4889 + 67*x**2 - 2420 - 211*x**2 - 61*x**2.\nAnswer: -205*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**4\/3 + s**3\/6 + 6*s. Calculate the remainder when a(-2) is divided by (-66)\/(-8) + 2\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 207043, 414086, 621129, 828172?\n\"Answer: 207043*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*l**2 + 3*l**2 - 3*l**2)*(0*l**3 - 2*l**3 + l**3) + 3*l**5 - 8*l**5 + 4*l**5)*(4 - 2 - 3)*(0 - 1 - 4).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-1))**(-37))**25)**(-48) assuming q is positive.\nAnswer: q**(-44400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*v, 0*l = -3*l + 3*v + 18. Let a(k) = 8*k + 2. Is 19 a factor of a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*q**3*x**3 - q**3*x + 6346*q**2*x**3 + 13*q*x**2 + 6912*x**3 wrt q?\nAnswer: 18*q*x**3 - 6*q*x + 12692*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14883 and 0.1.\nAnswer: -1488.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4964144 by 5528.\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -2*j + 4*t - 184, 4*t + 536 = 3*j. Calculate the remainder when j is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/7?  (a) 7.9  (b) -3  (c) 157\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -12. Suppose -6*m + 4*l - 20 = -b*m, 3*m = 5*l - 25. Is (-1 - m)\/(1\/(-103)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/3, -4\/7, -0.0096, -0.5, 47\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*f + 15 = 171*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*s**2 - 196*s**2 + 751*s**2 - 3*s + s + 2*s.\nAnswer: 433*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 + 12*z**2 + 4*z + 9. Let w be o(9). Suppose 4*i = 7*i - w. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -0.9. Suppose -2*f = -i - 3, i = 5*f - 10 + 4. Let x = 4.5 + -0.5. Which is the nearest to o?  (a) x  (b) -3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16534384 to the nearest integer?\nAnswer: 4066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -4. Let g = 134 - 134.02. Which is the second smallest value?  (a) g  (b) n  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 824, 3041, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2591 is divided by (-1 - -188)*((-3)\/9)\/(2\/(-6))?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 662.21152 + -0.11152. Let r = m - 612. Let a = 50 - r. What is the nearest to -0.1 in 5\/4, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.386 - 0.114. Let x = 21\/20 + -11\/12. Suppose 4*g - 980 = -992. Sort -5, x, g, l in decreasing order.\nAnswer: x, l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -5*i - 2205, 210 = s - 2*i - 228. What is the remainder when 15\/3 - s\/(3 - 7) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10993, 87910, 296697, 703294, 1373641, 2373678, 3769345?\nAnswer: 5626582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 16936292 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*d**4 + 3740*d**3 - 405*d**2 + 108*d?\nAnswer: 216*d + 22440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2 + 4*p + 3. Let b be r(-2). Suppose 53 = s - 0*s - b*q, -3*s + 144 = -4*q. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1598 - 830. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 55 = -3*q + 966, q - 362 = -4*b. Is q - ((-1)\/3)\/(19\/171) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001121111120011 (base 3) in base 9?\nAnswer: -31544504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**18\/(f**14*f) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/5 + -31\/10. Let o be (-2400)\/(-270) - (-5)\/45. What is the second biggest value in -3, 1\/10, d, o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -540, -690, -850, -1014, -1176?\nAnswer: -1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9635714 divided by 58?\nAnswer: 166133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000165031578 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6 - -1838382790\nAnswer: 1838382796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 3580.7960393 and -0.43.\nAnswer: 3580.3660393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from {u: 2, t: 3, o: 8, l: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1233090 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-980)\/1225*1\/((-1)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26 + -19. Which is smaller: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7 + 3*b**3 - 4*b + 2*b**2 - 11 + b**2. Let l(w) = w**2 - 6*w + 5*w - 1 - 3*w**3 + 4*w**3. Calculate -4*l(g) + r(g).\nAnswer: -g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111010001100 + 1001?\nAnswer: 111010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-70)\/168)\/(15\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) + (2 + sqrt(2299))**2)*-3.\nAnswer: -6909 - 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 4:36 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 11:57 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -540 divided by 6?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - (-26 - (-14 + 17))) + 16?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*c*f**3 - 99*c*f**2 + 390*c wrt f.\nAnswer: -9*c*f**2 - 198*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**3 - 3*i**3 - 9*i**3 + (-19*i - 7*i**2 + 19*i)*(-2*i + 3*i - 4*i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1064402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -18.7?\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*o - 7*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -3*f**2 + 0*f**3 + 31\/120*f**6 + 0*f**4 + 0*f**5 + 0 + 0*f. Is y(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 + -180.28.\nAnswer: -179.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 7:21 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 59.\nAnswer: 8\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 179898 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + -2 + 2 - -34. Let q be (-2)\/3*3 - r. Is 22\/q + 83\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.94 + 0.06. What is the smallest value in 0, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4*w**2. Let l(c) = 27 - 59 + 32 - 4*c**2. Calculate m(l(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 4  (b) 0.5  (c) -681  (d) 142  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (105 - 242 + 97)*(c - 5*c + 3*c) + 17*c - 2 - 13*c + 3.\nAnswer: 44*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 4344213.\nAnswer: 1\/4344213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 387645189 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**2 + 3*t + 1. Let x = 0 - -3. Suppose 4*p + 5 = -x. What is r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -4*n - 15. Let p be 0 + n + (-20)\/(-4). Let s(u) = u**3 + 2*u**2 - 3*u - 1. Let d be s(-3). Which is the closest to d?  (a) 5  (b) p  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-11) + 76\/176. Let o(y) be the second derivative of f*y**4 + 0*y**3 + y + 0 + 1\/15*y**6 + 0*y**5 + 0*y**2. Find the third derivative of o(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 24 - 14. Let h(i) = 3*i**2 - 5*i + 2. Let g be h(r). Find d such that 0 - 1\/2*d**g + 0*d**2 - 1\/4*d + 3\/4*d**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2765 = -22*z + 15*z. List the prime factors of z.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.78 - -15371?\nAnswer: 15371.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 220211020002 (base 3) to base 8\nAnswer: 1672222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 8:46 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + j - 1 + (-1 + 5 - 5)*(-j - 3*j + 5*j) + j + 2*j - 4*j)*(70 - 70 + 14*j**4).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -70.49755 rounded to the nearest integer?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2609924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 4630, 0, 13 in decreasing order.\nAnswer: 4630, 13, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -1\/92521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-7 - -15 - 1) - (-2 + 33).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)*5*-3)\/(-6*sqrt(245)*1 - sqrt(245)) + -2.\nAnswer: -2 + 45*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*l + 40*l - 38*l + 1479 = 0 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29671973, 29671972, 29671971, 29671970, 29671969?\nAnswer: 29671968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -19. Suppose 3*n - 3 = o*n, -5*n - 62 = 3*v. Let f = v + 48. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 4*c + 97 - 125, -2*c - 14 = 3*b. Let d be -3*((-4)\/(-5) + -1). Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115227 plus 5792520?\nAnswer: 5907747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - -299. Let l = -89 + w. Let q = 37 + -5. Calculate the highest common factor of q and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 565*a + 2414. Determine w(-8).\nAnswer: -2106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from abbbhzahbbhbahzbh?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -257*p + 109. Let x(n) = 115*n - 55. Determine -6*g(o) - 13*x(o).\nAnswer: 47*o + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 1100222?\nAnswer: 1100233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*p**3 - 4*p**2 - 8*p + 10542 wrt p.\nAnswer: -9*p**2 - 8*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/10868296 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 6, 2*b - 15 = -q + 6*b. Suppose 0 = -l + 5*j + 341, q*l - 2*l + j = 1653. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*h + 3*i, -h - 25 = -0*h - 5*i. Suppose 0 = l - 4*s + 208, 2*l + 2*s - 6*s + 396 = h. Let b = l - -28. Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.58 - 0.5. Let u = -0.38 + n. Let f = 289\/6 + -48. Which is the second biggest value?  (a) u  (b) f  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3185152357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -634 + 672. Solve -41*b = -m*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -4*b - 20. Let q(f) = -15*f - 101. Let w be q(-7). Suppose -4*k - w = 4*a, 11 = k - 2*a - 0*a. Solve -10 = -2*t + k*j, 0*j + 9 = -b*t - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2*p - 2)*(-325 - 333 - 52 + 150) to b*p + z and give b.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 293908970.\nAnswer: 2, 5, 29390897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, 13719, 1 in descending order.\nAnswer: 13719, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5338380547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 915 = -3*j + 951 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9317647?\nAnswer: 73, 109, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 9*v + 74. Let d be r(-14). Let y(w) = 13*w - 5*w - 7 - 6*w + 6 + d*w. Give y(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -371*t**4 - 3*t**3 + 19217*t wrt t.\nAnswer: -4452*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474530 is divided by 8325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -180, -1184, -3844, -8988, -17444?\nAnswer: -30040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3169.6 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 + 3*z + 3. Suppose 5*j + 25 = 0, 4*j + 5 = -3*b - 2*b. Let u be r(b). Solve -u*c - 14 = -5*c + 4*i, -2*c + 5*i = -16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10828?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 1669*o**3 - 1671*o**3 + 5*o**4 - 3*o + 20 - o**2 in the form j*o**3 + t*o**4 + n*o + k*o**2 + c and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sii when three letters picked without replacement from bmisiiismisi?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i - 9*i = a, 3*a = 4*i - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -8. What is the lowest common multiple of 376\/(-48)*(-7 - -1) and i?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197730?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 847.587 hours?\nAnswer: 3051313200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4789.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-54)\/5)\/(6\/(-45)). What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/7382250 and -43\/114750?\nAnswer: 22146750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 92 = 2*w, w + 2*g + 214 = 6*w. Let p be 24\/14 - (-2)\/7. Suppose -p*t - 16 = -w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = t + 2*h, -4*h + 3 = -3*t + 2. Does 25 divide (-3)\/(t + 6)*-52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 + 11174\/(-185) - 217*(-1)\/(-345)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 x when four letters picked without replacement from vvxqfxfxvqqfqvf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*p - 872 = -32*p + 1431 - 356 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - u - 27. Determine m(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 34850623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**5\/7 + 10786*x**4\/7 + 21566*x**3\/7 + 10782*x**2\/7.\nAnswer: 2*x**2*(x + 1)**2*(x + 5391)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 - 106\/3. Suppose -2*k + 3 = -3*s, -5*s + 4 - 9 = -3*k. Suppose k = -7*u + 4*u. Is w at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 231058 is divided by 3099?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 8*r**2 + 7*r + 5. Let s be j(7). Suppose 1 = -f + s. Suppose 4*y + f = 2*y. Which is the nearest to y?  (a) 2  (b) 3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b + 7 + 269 = 0. Let u(o) = 21*o**3 + 35*o**3 + 10*o**3 + b*o**3 + 3 - 3*o. Is 6 a factor of u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -2\/7, 0.03, -0.036, 0.764?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - -3. Let q = 17 - h. Let t(j) = j**3 - 8*j**2 + j - 8. Let y be t(q). Solve 2*f + y*f - 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3278 divide 3575858748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38893 + 34611.1. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 8*p**2 + 13*p + 3. Calculate y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 + 311*t - 312.\nAnswer: (t - 1)*(t + 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*q + 46*q + 12 = 0. Sort 31, q, 3 in ascending order.\nAnswer: q, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1057, 0, -18, -157 in ascending order.\nAnswer: -157, -18, 0, 1, 1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/((-17930)\/(-1467))*7\/(-9)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = w - 3. Let d be w\/78 - 1656\/(-52). Let m = -79 - -159. Calculate the greatest common divisor of m and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, z: 6, o: 2, a: 2}. What is prob of picking 1 o and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011 (base 2) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by 1465\nAnswer: -16\/1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7147 + 161 = 9*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 982 + -2520. Let h = 1538.00001349 + t. What is h rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 4 + 1)*(2294*v - 267*v + 863*v - 3) to the form x + m*v and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -0.00207.\nAnswer: -0.001035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3*sqrt(14)\/sqrt(2) + sqrt(7) + (sqrt(7) - (sqrt(14)\/sqrt(2) + 4))**2) - 1*(sqrt(343) - (2 + sqrt(343)*-2)).\nAnswer: -33*sqrt(7) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**7\/35 - 2*i**6\/25 + i**4\/5 + i**3\/5 + 110*i. Factor f(b).\nAnswer: -6*b*(b - 1)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (1 + sqrt(175) + -1 - (3 + sqrt(175) + -1)))*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 92\/3*f + 40\/3*f**2 + 4\/3*f**3 + 56\/3 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l - 1. Let p be n(0). Let r = -22 - -19. Let o(i) = -5*i + 4. Let u(k) = k - 1. What is p*o(f) + r*u(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -105 + -1336345?\nAnswer: -1336451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4510813, -9021608, -13532385, -18043138, -22553861?\n\"Answer: a**3 + 3*a**2 - 4510811*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.186993ml to litres.\nAnswer: 0.009186993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 15*m - 36. Give r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12121021201010 - -210?\nAnswer: -12121021200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -11*v - 3. Let i = -6 + 3. Is l(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 8:43 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -143 + 212. Calculate the remainder when d is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*z = 125*z + 14130 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, g: 9, l: 1}. Give prob of picking 3 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/1*(-3278)\/894?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 73 - 83 - 3*f**3 - 12*f**3 wrt f?\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -0.05, 0.4, -3\/5, 3\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1695*f - 17472 = 1805*f - 4951*f + 1787*f for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**4\/4 - p**3 + p**2 + 11. Let j be (((-8)\/12)\/(-1))\/(2\/(-9)). What is b(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 59.986  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -310\/91 + 48\/13. What is the nearest to q in -3\/2, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1560 + -1109. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 + 19 - 35 + n**3 - n**4 + 18*n**2 to the form p*n + f*n**2 + y*n**4 + a*n**3 + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 663, 692, 741, 810, 899, 1008?\n\"Answer: 10*n**2 - n + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -4, 5, -9, 2 in descending order.\nAnswer: 35, 5, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 362.4757 less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -24.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(2) + sqrt(32) + -3 + -1)**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1684771580 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**2 - 2556*z**4 + 13 + 2557*z**4 + 0*z**3 + 0*z**3 as a*z + q*z**4 + h*z**2 + d*z**3 + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w**2 + 5*w**2 + w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8440, -33831, -76162, -135439, -211668, -304855?\nAnswer: -415006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**3 + 40*b**2 + 4*b - 31. Give u(20).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 1729 = 10*c. Let u = c + 171. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*i**4 - 515*i**3 + 13825*i**2 + 1715*i - 1512630 = 0. Calculate i.\nAnswer: -9, 14, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o**(-16\/3)\/o)\/o)\/o**(-25) assuming o is positive.\nAnswer: o**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/10)\/(3\/45). Let d = -9 - a. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of r**7\/28 - 7*r**5\/24 + r**3\/2 - r**2. Let n(z) be the first derivative of w(z). What is the second derivative of n(b) wrt b?\nAnswer: 180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 21*a - 43*a + 18*a + 40, 4*a = -5*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1404) + sqrt(1404)*-5)\/(sqrt(21)\/sqrt(7)*1))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x**2 + 9*x - 5. Let k be o(-6). Let g = 89 - k. Suppose 0*a = 4*i - a - g, i = 3*a + 21. Solve -4*u + i = 1, -d + 3 = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - a35?\nAnswer: -a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 11*v + 5. Let w be h(5). Suppose 0*z + 4*z = -w. Let s(k) = -3*k + 5. Let q(a) = -5*a + 10*a - 6*a - 5*a + 2 + 5*a. What is z*q(f) + 6*s(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 76*b**2 - 123*b**2 - 116*b**2 - 216*b**2 + 66*b - 62*b**2 wrt b?\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of 0 - 3*c + 3\/20*c**5 + 0*c**2 - 1\/14*c**7 + 0*c**3 - 1\/4*c**4 + 1\/10*c**6. Factor a(b).\nAnswer: -3*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h - h**3 + h**2 + 2*h**2 + 1 - h + 2*h**3. What are the prime factors of m(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -w**2\/2 + 4*w + 5. Suppose 3*l + 3*i + 104 = i, -3*i + 15 = 0. Let h be l\/(-14) - (-8)\/28. Calculate o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 805546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -41, -75, -123, -191, -285, -411, -575?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence do when two letters picked without replacement from trrdodocq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 25. Calculate the remainder when (6\/3 - 4) + h is divided by ((-4)\/3)\/(28\/(-42)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from bbbcbbcbbsbbsbscbb.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 7325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 3. Let r be o(0). Differentiate -9*x**3 - 5*x**3 + 14*x**3 - 7 - r*x**3 with respect to x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 7*j + 13 = -4*j, 0 = -r - 3*j + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (-5 - -19) - (-92 - -100)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (5*(sqrt(1053) + sqrt(1053) + 0 + 0))**2 + (sqrt(1053)*1*-2 + sqrt(1053) - (sqrt(1053) + 1*sqrt(1053) + -2 + sqrt(1053))) + -5.\nAnswer: -36*sqrt(13) + 105299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5036.28 from -4.\nAnswer: -5040.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3355 by 27523.\nAnswer: 3355\/27523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o - 5. Let s = -3925 - -3922. What is g(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 5  (b) 64  (c) 0.1  (d) 2\/5  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 x when three letters picked without replacement from xxxxxxxxxxnxx.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25428395 to the nearest integer?\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9879 (base 11) to base 4\nAnswer: 3023221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 648172 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -17. Let l = -126 + 130. Let n be (-4)\/(-16) + 43\/l. Which is bigger: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 1:13 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15801.\nAnswer: 3, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21880)\/(-36102))\/((-15)\/(-11))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 7*a - 83*a**2 - 2*a + 616*a**2 + 10. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of -v**2 - 2*v - 47. Calculate q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.0841 rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -4*p + p + 19, 2*p = -5*z - 4. Suppose 0 = -2*i + 3 + p. Suppose i*m + 21 = 57. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)\/((u**13*u*u)\/u)*u\/(u*u\/u**7*u)*u*u**(-2))**(-1\/7) assuming u is positive.\nAnswer: u**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -29 + -3014d?\nAnswer: -30176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-one fifths of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 - 3)\/(-3 - -1). Let p be -3*((-2)\/(-6) - 2). Let d = p - w. Solve -3*t = d*x - 22, 5*t - 4 = -x + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.69 + 0.01. Let k = n + -0.67. Let c = k + -0.0303. Round c to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/2*l**3 + 14700 - 2590*l + 145*l**2.\nAnswer: -5*(l - 30)*(l - 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 308625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 14*o**2 - 2*o + 1. Let b be k(1). Let r(s) = s**2 - 12*s - 11. Let w be r(b). Factor -2\/11*f**3 - 8\/11 + 0*f + 6\/11*f**w.\nAnswer: -2*(f - 2)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 283*y - 284*y - 21*d + 108, -d + 8 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3304 (base 5) to base 2\nAnswer: 111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-18) + -2 + 375\/(-1080))*(-1 - -3).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -2*n**3 + 5*n**2 + 3*n = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -t - 24, 2*t - 6*t = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**2 + 5. Let l(w) be the third derivative of w**5\/15 - 2*w**2. Give l(g(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7472, 7389, 7308, 7229?\n\"Answer: c**2 - 86*c + 7557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s - 449*s**2 - 1530*s**2 - 2*s + 4*s.\nAnswer: -1979*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13695, -27389, -41083, -54777, -68471?\nAnswer: -82165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 + 9. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39185773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.23681 rounded to 2 decimal places?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 30 - 10 = 0. Suppose 4*k = 26 + r. Let b(d) = -d**2 + 8*d + 15. Let w be b(k). What is the greatest common factor of w and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 77 and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 5 + 6 = 0. What is the units digit of ((-110)\/(-20))\/(l\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 11544527?\nAnswer: -11544531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 145 = -0*r - 5*t, 5*r - 157 = -t. Let b = r + -21. What is the highest common factor of b and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -0.5, -1\/3, -15.3.\nAnswer: -15.3, -1, -0.5, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/5 + 0 - -4. Solve -2*x = 5*s + 13, x + 18 = -f*x - 2*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12*(-2)\/2292)\/(165\/(-165))?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -11.6579?\nAnswer: 58.2895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -11*i**2 - 40*i - 100. Let j(b) = -3*b**2 - 11*b - 22. Calculate -15*j(k) + 4*w(k).\nAnswer: k**2 + 5*k - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 212*b - 1895. What is the remainder when 73 is divided by i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30\/7 - 8\/28. Suppose -q*k = -56 - 4. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14\/(-56) - (-13)\/4. Let a = 260 + w. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -50 + 45?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (r + r - r)*(-44*r + 44*r + 12*r**2)*(-r + 1 - 3 - r) as f + o*r**2 + c*r + g*r**3 + b*r**4 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 6 - -7) + -7 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3870.8 - -3871. Sort 17, 2\/5, 0, g, 4.\nAnswer: 0, g, 2\/5, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of i**5\/20 + i**4\/2 - 2*i**2 + 6*i + 16. Determine s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (6*-3*sqrt(17) - (2 + sqrt(68)\/sqrt(4)) - (((sqrt(85) + sqrt(85)*-2)\/sqrt(5))**2 + 1)*5).\nAnswer: -96 - 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -89?  (a) -0.01  (b) 0.5  (c) -2\/5  (d) 2  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 - 345\/(-10))\/((-2)\/4). Suppose 39 = 2*k - 187. Let b = k + p. What is the highest common divisor of 90 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 24*l - 23*l + 4, -4*g = -l - 16. Let m(k) = k - 20. Determine m(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 6*(-2 + sqrt(108) - sqrt(108)) + -1)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2 - 4 = 0. Suppose -r = -a + r + 25, -2*a - t*r = -38. Calculate the remainder when a is divided by (-5 + -23)*24\/64*2\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -299*l + 259 - 4738 - 1800 = 0 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/2  (b) -60  (c) 4  (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**4 - 20*f**3 + 1260*f**2 - 4320*f - 13824 = 0.\nAnswer: -48, -2, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 615382?\nAnswer: 2, 307691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 36\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 212, 3, -3 in decreasing order.\nAnswer: 212, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + g - 4. Let p be x(-2). Solve p*t + 3 = j, 3*t - 7*j = -2*j - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1275 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 103, 184, 343, 646, 1159, 1948, 3079, 4618?\n\"Answer: 11*l**3 - 27*l**2 + 85*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -2. Suppose 0 = -5*r - 5*b, r + 3 = -3*r - 5*b. Suppose -r*m - 11 = -4*p - 322, 4*m + s*p - 448 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + m - 3863987, v + 2*m - 485782 = 802212. Suppose 0*n + 2*n - 643999 = o, -4*n = -4*o - v. Round n to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5, -4\/11, -4, -1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -17*y**2 - 6755. Let q(h) = -10*h. What is m(q(k))?\nAnswer: -1700*k**2 - 6755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1263543 (base 7) in base 11?\nAnswer: -1044a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -4*l**3 + 20156*l**2 + 2496488*l + 4912320 = 0?\nAnswer: -119, -2, 5160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -466*z**3 - 476*z**3 + 957*z**3 - 54*z**2.\nAnswer: 15*z**3 - 54*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4*g**2. Let m(u) = -14*u - 32. Let b(r) = 3. Let v(p) = -10*b(p) - m(p). Give j(v(a)).\nAnswer: -784*a**2 - 224*a - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12493600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-2*sqrt(1872))**2 + 1*sqrt(1872) + 5)*3.\nAnswer: 36*sqrt(13) + 89871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -5*f + 3*z, -2 = 2*z - 0. Let q be (-4 + 3)*2\/f. Is q < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*4*(-7)\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/382284 and -35\/188?\nAnswer: 17967348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 10552*a**2. Let m(j) = -62604*j + 0*j**2 + 2*j**2 + 62604*j. Calculate k(m(u)).\nAnswer: 42208*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1479072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*d**2 + 3*d**2 + 2*d**3)*(9 + 14*d - 22*d + 9*d) in the form h*d + q + o*d**2 + t*d**3 + b*d**4 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p**2\/7 + 294214*p + 21737140\/7 = 0. What is p?\nAnswer: -114406, -95\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 7:09 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 4 - 52 = 0. Suppose i - o = 2. Suppose 0 = 137*y + 250 - 524. Solve -3*n - i = -y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*k**5 + 3*k + 0*k + k**5 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/6*(-9)\/((-9)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 434983.19 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*t - 5*o - 1, 5*t - 73 = 4*o. Let m = -29 - -41. Suppose 3*k - 51 = -m. Calculate the highest common factor of k and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-2)\/(-7) - (-496)\/224)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8739\/7 - -1248. What is the closest to 1\/3 in 1, r, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -3*g - 10. Let q be k(-10). Suppose -q = -3*h - h. Suppose 5*i + 13 = 3, -2*i + 101 = h*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggn when three letters picked without replacement from {n: 1, g: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 6) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 165 - 57. Suppose 349*z - a = 353*z. Let m(f) = 39*f + 27. Let q(g) = 3*g + 1 - 3*g - 3*g - 3. Calculate z*q(j) - 2*m(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*x - 2*x**2 + 0*x)*(-x + 3*x - 3*x)*(2 - 1 - 5) in the form d*x + w*x**2 + g + m*x**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.78074697 rounded to 4 dps?\nAnswer: -1.7807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qppqqqppcppnppqqqqqc. What is prob of picking 1 p and 1 n?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 558 is divided by 152?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 273087*z**3 - 630*z + 115 wrt z.\nAnswer: 1638522*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0*p**2 - 1 - 6*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffffrfenfurfff. What is prob of sequence uerf?\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2 = -0. Let z be (q\/1)\/((-1)\/(-2)). Sort 3, z, 5 in descending order.\nAnswer: 5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5479\/4 - -1370. Which is the third biggest value?  (a) -44  (b) -2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112 (base 3) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 47, -9\/499, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/sqrt(2))**2*-5 - sqrt(56)\/sqrt(2).\nAnswer: -35 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -340.1 - -340.8. What is the third smallest value in 1\/30, 6, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*b - 10*b - 701352 = 0. Suppose 10*x - b = -2*x. Suppose -4*t + 4*g + 13020 = 0, 3*g - x = -2*t - t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 145\/(20300\/(-5460))*(-2)\/2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 0 + (0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.6 + -1.4. Let p = -36658\/5 + 7281. Let c = p + 51. Is c at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1606391 and 63558.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + (3 - 4\/3). Suppose -s + 31\/6*w**4 - 5\/6*w**3 - 9\/2*w**2 + 10\/3*w - 5\/2*w**5 = 0. What is w?\nAnswer: -1, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -85  (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*c = 28673 - 283467. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56970656 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3913 = -6*w + 20073, 4*t - 23985 = -5*w. Calculate the greatest common divisor of t and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 67\/88 + -7\/11. Let l(u) be the first derivative of -2 - 1\/4*u + 1\/12*u**3 - w*u**2 + 1\/16*u**4. Factor l(k).\nAnswer: (k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08223 times 31.98\nAnswer: -2.6297154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1820 and 14070.\nAnswer: 365820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ewr when three letters picked without replacement from {r: 14, e: 5, w: 1}.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z - 6. Let p(k) = 5*k + 16. Let t(c) = -35*c - 135. Let f(r) = -15*p(r) - 2*t(r). What is 2*f(g) + 11*w(g)?\nAnswer: g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 431420220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = 7*k + 39. Sort -5, k, 5, 3 in ascending order.\nAnswer: -5, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1016766 and 2541915?\nAnswer: 5083830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32 by 36507.\nAnswer: 32\/36507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - v**2 - 9*v + 108. Does 13 divide f(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 439937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 6*j = -50, -3*a + 86*j - 90*j + 44 = -7*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3333837127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2407886?\nAnswer: 2, 13, 37, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.91 - 0.91000059. What is q rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92365254*b**2 + 46182632*b**2 + 46182623*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v + 255. Let u(d) = -3*d + 249. Determine 5*m(s) - 4*u(s).\nAnswer: 2*s + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 1:20 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - -1. Suppose j*v = k + 15, -2*k = -7*k - 4*v - 51. What are the prime factors of (0 - k) + (-2)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-536)\/134 + 13\/5 + 1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of t**5\/30 - t**4\/3 + 7*t**2\/2 - 7. Let y(w) be the second derivative of c(w). What is the second derivative of y(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 109348535 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-52.803584.\nAnswer: -10.5607168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 25026*r**3 + 388*r**2 + 388. Let a(k) = -194*k**3 - 3*k**2 - 3. Determine 388*a(z) + 3*l(z).\nAnswer: -194*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/((-4)\/(228 + 0)). Suppose -7*w = 1 - u. Let y be (8\/(-22))\/(w\/4). Which is the smallest value?  (a) -1\/4  (b) -11  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x + g + 4, 55*x - 4*g = 56*x - 8 + 8 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174023131?\nAnswer: 1667, 104393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 22\/(-15) - (-2)\/3. Let d = 5.564 - 0.564. What is the second smallest value in d, -4, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10432.3 + -10432. Which is the fifth biggest value?  (a) -0.1  (b) 4  (c) -14\/15  (d) k  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2*h - 1050, -729*t + 3*h - 3150 = -732*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -2*j - 0. Let o = 853\/5 + -325\/2. Calculate the common denominator of o and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 38 - 33 = -s, -3*m = -2*s + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 + 3)*(s - 5 + 5)*(-5*s**2 + 0 + 0) + (0*s**3 - s**3 + 3*s**3)*(-1 - 5 + 2) to the form u*s + r*s**2 + q + p*s**3 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -5. Suppose -3*g - 4*o = -25 + 3, 3*g + m*o - 14 = 0. What is the highest common factor of g and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -10 - 2 - (4 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12, 0.1, 2\/11, -28?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6*(-8 + 10\/2). Solve -c*x + 16*x + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-144)\/360*(-1)\/(4\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.74, -2 in increasing order.\nAnswer: -5, -2, -0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00092782176 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/3)\/(41\/(1230\/(-4))). Let q = -5 + 8. Solve -q*z - j = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 50*z + 44. Let j be a(-1). Let y be 1725\/6 - j\/(-12)*-1. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16753 + 16753. Solve -44*n + 3*n + 164 = m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 131, 190, 299, 476, 739, 1106, 1595?\n\"Answer: 3*k**3 + 7*k**2 + 17*k + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -72 + 72 - 39*h**3 + 0*h**3 - 2*h**3 + 0*h**3 + (-3*h + h + 4*h)*(h - h - 2*h**2).\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/94090 and -51\/94090?\nAnswer: 94090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -10, -994, 0.1, 229, 0.3 in descending order.\nAnswer: 229, 1, 0.3, 0.1, -10, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*c**2 - 2 + 1815*c - 1814*c + 3)*(-5*c**3 - c**3 + 5*c**3).\nAnswer: -21*c**5 - c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 17 = -f, -14 = -5*f + 3*r - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 11403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 79 + 23 = 0. Let c = -6 + z. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0*(-3)\/6 - 28. Let h = j - -43. Solve -4*u + h = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 638 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 460 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 590*o**2 - 308*o**2 + 14*o - 215*o**2 - 7*o in the form q*o**2 + j + t*o and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(24)\/sqrt(3))\/(-2*sqrt(196)))**2.\nAnswer: 9\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 2*g = 107 - 67, 4*w - 4 = -2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -60350 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**5 + 56*x**4 - 392*x**3.\nAnswer: -2*x**3*(x - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67545?\nAnswer: 3, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 105\/4 + -51\/2. Which is the third smallest value?  (a) 2\/5  (b) m  (c) -2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -125, -216, -317, -428, -549?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 1\/5, 6, -0.08, 36\/13, -5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 1975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 0 + 0)*(-36 + 23 + 71*r**2 + 17).\nAnswer: -142*r**4 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/21 and 45\/308?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1694 is divided by 141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0*n + 2*n)*(50 + 3 - 19).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.28 + -2.72. What is the closest to -1 in 2, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o - o - 2*q - 11, -5*o + q = 22. Suppose 3 = -2*c + 15. Let b(p) = -2*p - 9. Let n(i) = 6*i + 26. Let f(u) = c*n(u) + 17*b(u). Determine f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 4*h**3 - 6*h**2 + 5*h - 17. Let s(t) = -2*t**3 + 4*t**2 - 2*t + 9. Calculate 3*o(r) + 5*s(r).\nAnswer: 2*r**3 + 2*r**2 + 5*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, 0.3, -2, -509?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75636*j - 75648*j - 75578*j - 75611*j + 302401*j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6261, -26000, -58899, -104952, -164153, -236496?\nAnswer: -321975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 259.379 + -261.2. Which is smaller: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(6)\/sqrt(2) + 0 + sqrt(15)\/sqrt(5))*-5.\nAnswer: -10*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 519 - 520. Let j be (35\/70)\/(k\/(-10)). Let w = 9 - 5. Solve a + 2*i - w = 0, a - j*i + 7 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162 + 40 + 2*f + 3*f - 4*f - 8 to y*f + a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -8*k + 155 - 79 - 83. Let b(o) be the second derivative of -2*o**3 - 11*o**2\/2 - 19*o. Give 5*b(g) - 8*d(g).\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 - 3*p**2 + 3*p. Let j be o(-4). Let n be (-39)\/(-21) - 14\/(-98). Let s(f) = 9*f**2 - 24*f**2 + n*f**2 - 5*f + 15*f**2 + 3. What is s(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 2*j + 2 + 8, 4*j + 32 = -4*h. Is 6 a factor of (11 + j)*(-922)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 337922961?\nAnswer: 3, 19, 37, 163, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7685195 is divided by 960647?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 8:03 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9068376 and 22670940.\nAnswer: 45341880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10862 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72 + 1078\/15. Sort -0.3, n, -0.04, -0.5.\nAnswer: -0.5, -0.3, n, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1181454610*a**3*r**2 - 83263*a**3*r + 3786*r wrt r.\nAnswer: 2362909220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2328 and 62274.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -c + 10, c + 5*w + 24 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -18. Let z = 44 + 0. What is the remainder when z is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -615 - -367. Let c = 79 + b. Let j = c - -331. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 - (0 + (-67842)\/(-114)). Let n = -599 - l. Suppose -2\/19*t**2 + 0 + 2\/19*t - 2\/19*t**3 + n*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/36*(6\/294)\/(69\/322)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of w**6\/15 + w**5\/2 + 4*w**4\/3 + 4*w**3\/3 - 34*w - 2. Let f(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000684 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -5*i + 12 + 5, 2*v + 6 = -2*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 3*y**4 + 4 - y**2 + 1 + 33*y + 5 + 0*y**2 to the form a*y + p*y**4 + z + i*y**2 + o*y**3 and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*d + 1432 = 253 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 6, 2*h = -4*o + 7 - 3. Let c(i) = -4*i + i**2 - 9*i**2 + 7*i**o + 5*i. Let w be (-4)\/(-10)*(-20)\/(-4). Give c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - w - 10*o + 946 = 886, -4*w + 42 = 5*o for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of f**8\/1680 + f**7\/70 + 19*f**6\/300 + 2*f**5\/25 + 2*f**2 + 104*f + 10. What is q in z(q) = 0?\nAnswer: -12, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 274370 and 274370.\nAnswer: 274370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37 - (33 + 8 + 36).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 887 in 1\/4, 2, 2\/9, -2\/3633?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 20*p**2. Let w(u) = -5*u - 2. Let x(a) = -66*a - 27. Let v(i) = 54*w(i) - 4*x(i). Calculate v(m(z)).\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -5*s**2. Let g(j) = 19482*j. Give k(g(q)).\nAnswer: -1897741620*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - h - 440 = 0, 5*h - 440 = -5*q - 0*q. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28196 = 227*t - 287*t + 326*t for t.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 7:37 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16726.\nAnswer: 2, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -42681 and -0.01.\nAnswer: 426.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -12*r + 222. Give g(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 8*g**2 - 11*g - 16. Let a be x(-9). Suppose 6 = a*v - 0*v. Suppose -3*w + w + 12 = 0. Solve 0 = 3*u - 5*q - v - 2, q = 2*u + w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -11 - (-1 + 22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.405819 months to millennia.\nAnswer: 0.00128381825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - 35*b + 56. Does 28 divide n(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h = 7*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 616*f + 441*f + 26040 = 313*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -56 + -2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 3*m + 3*m - 2)*(m - m - 2*m) + 5*m**2 + 4 - 4 + (2*m - m + 0*m)*(-m + 0*m - 2*m).\nAnswer: -2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 6, -1\/29, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -85013  (b) 6\/11  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -190.6 - -190.2. Let p = 2.1 + -1.7. What is the third smallest value in p, -9, q, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003122 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 2 - -7) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -340 - -347. Let b = f - 5. Let x(u) = -3*u**2 + 4*u - 3. What is x(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**6\/120 - f**5\/12 - f**4\/24 - f**3\/2 + 32*f**2. Let a be 16\/(-2)*3\/6. Determine g(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189, -181, -173, -165?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of -11*r**5\/120 + r**4\/12 + 2*r**3\/3 - r**2. Let n(j) be the first derivative of i(j). Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 1:51 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 68 = 2*u. Calculate the common denominator of 2\/4 - u\/(-16) and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 435 and 59015.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 27310 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 64525 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: Evaluate 31 + -39 - (-3 + (-4 - -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 40.3 - 43. Let x = 3.1 + q. What is the third smallest value in x, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4864 and 1064?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -78 + 641. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 4*d - d. Suppose 8 = 2*t + d*t. Put 2\/7, -14\/9, 5, t in increasing order.\nAnswer: -14\/9, 2\/7, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -7*y. Let n(f) = -2*f**2. What is n(x(v))?\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 127 = 4*c, -4*z = 2*c - 91 + 5. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 * -1919.\nAnswer: 55651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-22)\/55 - (-2)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 126\/14 - ((-8293)\/(-2))\/(18\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321 is divided by 97?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7\/1)\/((1 + 1)\/2). Let x(d) = z*d - 2*d**2 + 9*d - 7*d - 9*d - 4 - 5*d. Suppose 2*u - 4*m = -1 - 1, -5*u - 2*m = 17. What is x(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2538 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 12:15 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 11 = 4. Suppose -2*p + 1 = -z*k + 53, -k + 3*p = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1726 + -1718. What is the greatest common factor of 62 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4322 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -18*r**2*u*w + 19901*r**2 - 4427*u*w - 2*u + 22*w wrt r?\nAnswer: -36*r*u*w + 39802*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 323, 338, 367, 416, 491, 598, 743, 932?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 137 + -161. Let f be ((-60)\/l)\/((-2)\/4). Is -74\/13 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 36\/(-42))*(12 + 2). Solve 2*l + 5*g = l, m*g = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 487792 by -2836.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 3:20 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*m**5 + 94*m**2 - 94*m**2 + (10 - 10 + 7*m)*(-3*m**4 + 0*m**4 + m**4) - 4*m**5 - 2*m**5 + m**5.\nAnswer: -25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 7*s**2 + 42*s - 22. Let o be n(-11). Solve o = 7*g - 28 + 28 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of t**4\/4 - 5*t**3\/3 + 391*t**2. Calculate c(11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 3*h**2 + 3*h - 3. Let y be i(2). Let a be y\/4 - 52\/(-16). What is the derivative of -2*b**4 - a - 8*b + 8*b wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1165*r**2 + 145*r**2 + 408*r**2.\nAnswer: -612*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/6, -2, -450, 0.1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19400.67 grams to micrograms.\nAnswer: 19400670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + b**2 + 4. What are the prime factors of p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-34100)\/(-682) - 6*-1. Solve 5*d - 16 = -3*l, -y + 48 = d - 5*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*d - 3 + (-2*d + 3*d - 2*d)*(-2 + 2 + 1) - 2*d + d - d + (0 - 2 + 1)*(-6*d + d + 6*d) + (-1 + 1 - 1)*(-4*d + 5*d + d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 + 1)*(-67 + 18*x + 67)*(-3*x + 6*x - 2*x) - 6*x**2 + 2*x**2 + 2*x**2 + (x - x + 2*x)*(2 + 2*x - 2) in the form c*x + a*x**2 + w and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-240)\/4320)\/((-2)\/36)*60\/(-6)*13.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 73106996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32 or 11.206?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -4*m + 5*p, 2*m - 5*m - 3*p = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) -3  (c) -2  (d) 9  (e) -29  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7592 or -7593?\nAnswer: -7593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 3438.54 to the nearest 10.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 + 6 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41 + -42. Sort 3, -5, u, 1 in ascending order.\nAnswer: -5, u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1980*c + 84820 = -69159 + 2174 + 3305 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -27. What is the nearest to q in 2\/9, 2, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*d**2 - 183*d + 183*d - 12)*(0 - 3 + 2) in the form y*d**2 + c*d + u and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i + 16 - 3 + 13 - 2*i as o*i + q and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dggtggddokggg. What is prob of picking 1 t, 1 g, and 1 k?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d - 29 = -3*m - 141, 243*d = -5*m + 239*d - 44 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k**3 - k**2 + 1605*k - 853.\nAnswer: -6*k**2 - 2*k + 1605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + (sqrt(252) + 2*sqrt(252) + sqrt(252) + -3)**2 - (1 + sqrt(252))**2*-6)*-5.\nAnswer: -27795 + 330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -2388.02405 to 1 dp.\nAnswer: -2388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 5*(sqrt(1700) + -1 + -4 + sqrt(1700) + (sqrt(1700) - (-3 + -1 + sqrt(1700))) + -2 + 3*1*sqrt(1700)))**2*3.\nAnswer: -15000*sqrt(17) + 3187800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p - 3*p + 2*p + (0 + 0 + 2)*(-2*p + 6*p - 3*p) + 1 + p - 1 + 157966*p - 83540*p - 79480*p.\nAnswer: -5053*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 - 4*v + 4. Let l be g(-6). Let f(r) = r**2 + 9*r + 8. Let x be f(l). Suppose x = -7*a + 2*a + 50. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z + 2. Let s(r) = 58*r**3 - 54*r**2 + 3*r - 6. Let j(m) = 2*s(m) + 6*w(m). What is the third derivative of j(o) wrt o?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -98176185*q**3 + 23253300*q + 3.\nAnswer: -589057110*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -2*r - 2*r + 87, 0 = -g + 5*r. Let n be (-52)\/65*(-25)\/2. What is the highest common factor of n and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 155, 371, 587, 803?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 547123?\nAnswer: 211, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5895.411 and 28.6.\nAnswer: 5924.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35 + 38. Solve -2*v = -n*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4597238, -9194471, -13791704, -18388937, -22986170, -27583403?\n\"Answer: -4597233*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 2*g + 0*g)*(-112 + 5358*g**3 + 278 - 166).\nAnswer: -16074*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23332725 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4277*-1.\nAnswer: -4277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 + -19. Factor -h*c**5 - 19*c**2 + 9*c**2 + 2*c**3 + 10*c**2.\nAnswer: -2*c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 32*v**2 - 27*v + 670. Calculate the smallest common multiple of 3120 and z(-34).\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*2*(-3)\/2. Let b(p) be the second derivative of 2*p**3\/3 - 3*p**2\/2 + 2*p. Is b(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 8:13 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0371 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -14542?\nAnswer: -14537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, q: 2, x: 4}. Give prob of picking 1 o and 1 x.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*h**3 - 26*h**3 + 6*h**2 - 8*h**2 - 19*h**3.\nAnswer: -85*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*z = -5*h - 221, -174 = -17*h + 15*h - 4*z - 142 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, y: 7}. What is prob of picking 2 y and 2 z?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340 = 146*y - 81 - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 36\/15 + 6\/(-15). Let j = 41\/70 + 3\/14. Factor 0 - 2\/5*c**s + j*c.\nAnswer: -2*c*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*g + 74412 = 112*g + 1413*g for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + (-2*sqrt(170) - sqrt(170)))*-6 - (sqrt(170) + -2*sqrt(170) + sqrt(170) + sqrt(170))*4)\/(-1*(-2*sqrt(1440) - sqrt(1440))).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5068118 - -58?\nAnswer: -5068050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrrl when four letters picked without replacement from qqqqqrlrrrqrqqrrqq?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3944646 and 3672?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 51, 80, 115, 156, 203, 256, 315?\n\"Answer: 3*m**2 + 20*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10075 in 1\/5, 2\/15, 1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**5 + 20980*a**4 - 54998814*a**3 - 112705532*a**2 + 6885039256*a - 12879601488 = 0.\nAnswer: -13, 2, 9, 5246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1534 divided by 2?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 22*f. Let a(p) = 5*p**2 - 30*p. Let o(l) = -l**2 + 3*l. Let u(q) = -a(q) - 10*o(q). Calculate u(m(v)).\nAnswer: 2420*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 6*d**2 - 7*d + 20. Let n(u) = -6*u**2 + 6*u - 21. Let s(q) = -3*i(q) - 2*n(q). Calculate s(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29758, -59518, -89280, -119044, -148810, -178578, -208348?\nAnswer: -238120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 3891 = -5629. List the prime factors of n.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - (2\/(-1))\/2) + -10. Let h(m) = m - 1. What is the lowest common multiple of 2 + (1050\/(-5))\/j and h(3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10110100101111110001 (base 2) to base 14.\nAnswer: 153b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21 - -11124240?\nAnswer: 11124216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.03 from -51642528332.\nAnswer: -51642528332.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50.99836 - 51. Round n to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -16, -20, -24, -28?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.84 - -0.11. Let k = -1 + h. Let x be (-20)\/10 + (-16)\/(-6) + 52\/(-96). What is the closest to 2\/5 in 0.1, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + -15 + -3 + -3 - 15 - -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 421943\/18 - 23434. Find the common denominator of 1*(396\/40 + 1) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 629372 and 6624?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 17*p - 18. Let b be u(13). Let s = 52 - b. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + -5)*(-1)\/((-4)\/(-6)). Does h = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 7*h**2 - 36*h - 80. What are the prime factors of o(44)?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2427.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 22\/(-8) + (-2)\/8. Let x(u) = -4 - 8*u + 13*u - 3*u + 1. Let k be x(-1). Put 1, a, k in decreasing order.\nAnswer: 1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h**4 + 29*h**3 - 2*h**2 + 76 wrt h.\nAnswer: 4*h**3 + 87*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v + 38. What is the remainder when 177 is divided by c(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16923249*n**5 + 356*n**2 - 269*n + 2.\nAnswer: 1015394940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -10*m**2 + 20806*m - 1. Let w(y) = 111*y. What is x(w(h))?\nAnswer: -123210*h**2 + 2309466*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8666477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 2 - ((10 - 0) + -7 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15\/6*(2 + 0). Suppose -2*n + 42 = -0*n. Suppose 4*r = -o + n. Solve 3*j = j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -30 - 10. Suppose 0 = 5*l - 3*q - 1956, -s*l + 6*q = 2*q - 1958. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of 14\/15*l**3 - 1\/75*l**5 + 3*l**2 + 1\/5*l**4 - 3 + 0*l. Factor g(c).\nAnswer: -4*(c - 7)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1389878842.\nAnswer: 2, 11, 19, 302279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -26*c + 28. Let j be s(1). Let q be ((1 - 1)*-1)\/(-2). Suppose -v = o - 10, -5*o = 3*v - 46 - q. Solve -l + 2 = 4*p, 0 = -4*p + j*p + 3*l + o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u**3 + 8*u**2 + 8*u - 6. Suppose -2*r + 0*r - 22 = -5*f, -2*f = 4*r - 4. Let a(s) = s**2 + s - 1. Determine r*b(n) + 6*a(n).\nAnswer: -3*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 15 = -0*s, 0 = 39*b - 37*b + s - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -107 - -110. Let n = -13 + 7. Let s = 2 + n. Which is the smallest value?  (a) s  (b) h  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -22757*x + 112038. Determine y(5).\nAnswer: -1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/3 + 32*p\/3 - 20.\nAnswer: -(p - 30)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 < 502\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p. Let a = 12 - 12. Let j(l) be the second derivative of 0*l**2 + 0*l**3 + 1\/12*l**4 - l + a. Calculate c(j(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7  (b) 1\/5  (c) 3  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61408 by 5.\nAnswer: 61408\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25807931 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-5) + 1 - (-659715)\/2575 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-1))\/(-4))\/(12*(-27)\/(-12960)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -17561721 and -1?\nAnswer: 17561721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of -2*m**3\/3 + 4*m**2 + 674*m. Give b(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 6) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that u**3\/4 + 4853*u**2\/4 + 103393*u\/2 - 52910 = 0.\nAnswer: -4810, -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4672 is divided by 120.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/434*(-14)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 3 = -w, 1066*t - 1069*t + 17 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -240963.8659 to the nearest one hundred.\nAnswer: -241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (10\/8)\/(15 + (-7542)\/504). Calculate the greatest common factor of w and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-312)\/(-1716)*(-7524)\/(-96).\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -7*c**3 - 42. Let n(j) = 6*j**3 + 44. Calculate -3*m(v) - 4*n(v).\nAnswer: -3*v**3 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w**3 + 26*w**2 + 141*w - 73. Let v be y(17). Sort 3, v, -5, -14, 2.\nAnswer: -14, -5, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 12. Let l be -5*b\/15 - -25. Suppose -2*a - 3*q = -4*a + 51, 3*a + q = 82. Calculate the greatest common factor of a and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57695, -115390, -173081, -230762, -288427, -346070?\nAnswer: -403685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 + 7)*(-2*a**2 + a**2 + 3*a**2) - 7 + 4*a**2 + 7 + (-105*a - 197*a + 85*a)*(-6*a + 3*a + a) in the form x + k*a**2 + d*a and give k.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1918.76445 milliseconds?\nAnswer: 0.000022207921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 44. What are the prime factors of 284\/6 + u\/(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3411 + -3385. What is the highest common divisor of 11518 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -177*i**3 - 2*i**2 + i - 1. Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 4*x = -3, 0 = 4*a - 0*a - 3*x + 4. Let c be (-21)\/(-3) - (4 - (-2 - a)). Solve 0 = c*q - 3*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97410 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a + 1 + a**3 - a + a. Let y be m(2). Suppose y - 39 = -2*h. Calculate the remainder when 33 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-6))\/(o\/o**5*o))**(-3) assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a factor of 604710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/2 + 7*a\/2 + 6.\nAnswer: (a + 3)*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.02 - -2.02. Let r = -131 - -657\/5. Let z = -1 - -5. Which is the nearest to -0.2?  (a) l  (b) z  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2 - 115892*c + 48756568.\nAnswer: 4*(c - 28546)*(c - 427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of -3*f**5 - 7*f**2\/2 + 5. Find the second derivative of q(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 + 26. Suppose -2 + 7 = -j*l, -5*r + 18 = -3*l. Solve 5*m = r*c - 18, m - 3*m + c = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9 and -32539767492.\nAnswer: -32539767501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/5)\/c**(-2\/19)*c\/c**(5\/3)*c**(-2\/39) assuming c is positive.\nAnswer: c**(-788\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3732761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -2503.5 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 9 - 11 = 0. Suppose -52 = -13*z - 0*z. What is the third derivative of -6*p**5 + z*p**2 + 10*p**5 + 10*p**a wrt p?\nAnswer: 840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-52 - 16 - -35 - 71)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11835, -47317, -106455, -189249, -295699, -425805?\nAnswer: -579567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 924 and 312401859.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1215284.5 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of 1\/24*r**4 + 1\/105*r**7 - 1\/40*r**6 + 0*r**5 - r**3 + 0 + 29*r**2 + 0*r. Find the second derivative of s(f) wrt f.\nAnswer: 24*f**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1632\/12*(-3)\/(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 133 - 934\/7. Let m = 564\/5 + -112. What is the closest to 1 in c, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*v - 56 = 69*v + 84*v + 2*a, -2*v + 4*a = -114 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vw when two letters picked without replacement from ejvvvmjjmvvwmvj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 27, -7 in descending order.\nAnswer: 27, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = -4*n + 8, -7*n + 3*v = -4*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 121505581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 6. Let a be (v + 0)\/((-1)\/(-29)). Let w = 26 - a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2c - -4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-58)\/(-7) + 4\/(-14) is divided by 2\/((-4)\/3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 68705*h**4 + 3187*h**3 - 3912*h**2 + 4293*h - 2 wrt h.\nAnswer: 1648920*h + 19122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 24415 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -831056.399993 + 831057. Let x = p + -0.6. Round x to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1643.6 times 5?\nAnswer: -8218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - o + 26 = 0, 5*o + 28 - 8 = 5*s. Suppose -39 = -2*n + 9*j - 8*j, -s*n = 4*j - 130. What is the remainder when 107 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 306511, 613021, 919531, 1226041?\nAnswer: 1532551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -3. Suppose n - z = t*z + 1, -n - z - 7 = 0. Let u = 10 - n. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*y - 11 - 11 + 35*y - 70*y + 583*y**3.\nAnswer: 583*y**3 - y - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 0*t + t = -20, 2*d - 4*t - 8 = 0. Let z be ((-18)\/(-7))\/(3\/(-63)*d). Is z at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 6 = -2. Let i be g\/(-4) - 3\/108. Which is the third biggest value?  (a) i  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 6*y + 3. Let q be y - (0 + 32\/(-12)). Let b be ((-7)\/3)\/((-2)\/6). Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 168, 167, 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -8, -0.5, 0.37 in ascending order.\nAnswer: -8, -0.5, 0.37, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5d (base 14) to base 10\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 122 (base 5) to base 14\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**11)\/w)\/(w**(-10)*w) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-45) + (-68998)\/(-5). Round x to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164 = w + 3*k, 0 = 5*w - 3*k - 275 - 563. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20200 + -2?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9520469 years in millennia?\nAnswer: 0.0009520469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 85, 126, 167, 208, 249, 290?\n\"Answer: 41*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 12*x + 7. Let b be f(-12). Suppose -4*j - 336 = -b*j. Calculate the highest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 2:24 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 109499754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -10*y + 53. Let o be t(5). Suppose 2*k + 2*k = 3*a - 10, -5*a + 9 = k. Sort o, k, -4 in decreasing order.\nAnswer: o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 14*o - 1. Calculate p(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 6:03 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(2\/(-5)))\/(114*182\/(-41496)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8424)\/(-32))\/(-9)*10976\/(-3528)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.8 + 9. Suppose -2*j = 5*r - 6*j + 5, -3*r - 3*j = -24. Let v be 6\/4*2\/(-6). What is the closest to v in r, u, 5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -598851, -9 in ascending order.\nAnswer: -598851, -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 2228.307 grams?\nAnswer: 2228307000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -9*b + 33. Let v be (-24 + 2)\/(2\/(-1)). Let t(s) = -1 + 0*s - 4 - 5*s + 22. Let o(a) = v*t(a) - 6*w(a). Calculate o(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + (-18 - (-2 + 3)). Let j = -7 - t. Solve -3*h = -0*h - 3*m - j, -m - 6 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 11*w + 37. Suppose 0 = -21*a + 28*a. Let r be f(a). Solve 5*q = -3*s, 2*q - r = 5*s - 2*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220121 (base 5) to base 11.\nAnswer: -5731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 583 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 1\/2359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = 5*b - 0*b - 4*z, b - z = -19. Let y be 2\/36*22 + b\/81. What is the closest to -4 in y, 2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 429 and 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*c - 14*c + 405 = -43*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -66b4a8 - -110?\nAnswer: -66b398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 550716460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.858 - 0.142. What is the closest to -6 in 3\/7, 5\/4, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1921732 divided by 480433\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6 - -3.4. Let d = 1 - r. Let x = 2 + d. Do x and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 f when four letters picked without replacement from {p: 3, g: 5, f: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010010001 + -11011?\nAnswer: 1001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2270399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23108*o**3 + 22554*o**3 - 68245*o**3 + 22573*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -566, -1103, -1626, -2129, -2606, -3051, -3458?\n\"Answer: h**3 + h**2 - 547*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*p + 10. Let n(x) = x**2 + 2 - 6 + 3*x - 2 - p*x. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*v**3 - 11*v**3 - 7*v**4)*(40 - 13 - 522 - 90) to p*v**4 + l + q*v + a*v**3 + t*v**2 and give p.\nAnswer: 4095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5449\/132 - -400\/11. Find the common denominator of q and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 17*n + 71. Calculate p(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 294366 and 245305?\nAnswer: 1471830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -3, 17, 1 in increasing order.\nAnswer: -3, 1, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**4 - 20*p**3\/3 + 2*p**2 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 350625 and 5000?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 0 + 1\/210*f**7 - 6*f**2 + 0*f**3 + 0*f + 0*f**6 + 0*f**4 - 7\/30*f**5. What is the third derivative of z(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d**3 + 5*d**2 + 9. Let i(x) = 28 + 30 - x**3 - 57. Let z(y) = b(y) - 2*i(y). Calculate z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12202220 (base 3) to base 13\nAnswer: -1bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 85 = -4*q + q, 3*u - q = 51. Let b = 12 - u. Let k be (4 - -1)*(-8)\/b. Solve 0*l = 2*l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d + 2*d + 41*d**2 + 31*d**2 to the form f*d**2 + o*d + k and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 569123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, o: 3}. Give prob of sequence oeeo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1967\/(-2529) + 4\/9 + (-32)\/(-6). Let y be 52*((-42)\/(-2) + -1). Suppose -q = -o*q + y. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-7)*((-26)\/13)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*u - 11*u + 19*u to i*u + a and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -b - b - 5*j, 4*b + 34 = 2*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, 20, 11, -6.\nAnswer: -47, -6, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 8:19 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 4, 2, -2\/1007.\nAnswer: -2\/1007, 3\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 43325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 338 (base 13) to base 5\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (10\/15 - (1 - 1))\/(16\/16656) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and -357939254655379.\nAnswer: -357939254655384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 14*z**3 + 14*z**2 + 4*z. Let s(c) = c**2 + c. Let t(x) = j(x) - 4*s(x). What is the third derivative of t(f) wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2020210211101 (base 3) to base 12\nAnswer: -498791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 4) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9575 + -5.9575. Sort i, 3\/4, 0.5 in descending order.\nAnswer: 3\/4, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 21*u**2 + 23*u**2 + 5*u + 2 - u**3 - 49*u**2. What are the prime factors of l(-7)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 172938 and 2522364?\nAnswer: 103416924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 4*n - 3*k - 18, -1 = 3*n + 2*k. Solve -6 = 3*z + 3*i, n*z + 5 + 5 = -5*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 46, -1, -2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + (3*(sqrt(150) - sqrt(150)*-1)\/sqrt(6))\/(1*sqrt(180)) + -1).\nAnswer: 8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 63060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1926, 1, -1, -2.\nAnswer: -1926, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1968.160736 - 1894.161. Let a = d + -74. What is a rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3237102117 and -0.1.\nAnswer: -3237102117.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 7*j - 3*j. Suppose 0*k - 10 = -k. Calculate the remainder when j is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.4 + 0.2. Suppose -25*x = -19*x - 24. Let r = 206 - 205. What is the nearest to p in 3, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/72 and -5\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -43*r*y**3 - 119*r*y + r - 2689 with respect to y.\nAnswer: -129*r*y**2 - 119*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v - 6. Let t(l) = l - 2. Suppose -i = -q + 13, 2*q - 32 = 4*i + 6. Give q*t(b) - 2*w(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3440\/(-8428))\/(18\/21))\/(3\/(-9))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 8) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 82.95 - 49.6. Let f = 0.65 + j. Let s = 32 - f. Which is the closest to -2?  (a) s  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 4281 = 2*z, -4*q + 2*z = -1331 - 2101. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/27 and -5\/820206.\nAnswer: 820206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3813218 and 583598?\nAnswer: 5666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -15\/6047?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 - 6 = 0. Let a(r) = 3*r**2 + 6*r + 5. Let n be a(u). Let k(b) = -b**3 + b**2 + 5. Let i be k(0). What is the highest common factor of i and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 p when three letters picked without replacement from plebr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 9*p**2 - 13*p + 3. Let s(u) = 7*u**2 - 13*u + 2. Let q(y) = -4*h(y) + 5*s(y). Give q(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.5  (b) 5  (c) -0.3  (d) -30.8043  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -6*p. Let r(m) = -5*m. Let z(y) = 6*o(y) - 7*r(y). Let x(v) = -v. What is z(x(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 5 = n, -y - 158 = -4*n - 180 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 45558697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b102a6 (base 12) to base 6.\nAnswer: -323041530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11.6 >= -24\/11695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 1:15 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - h - 1797, 2*y - 705 = 7*h - 2*h. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 4. Suppose 2*q - 64 = 16. Suppose t*n = n + q. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -25, -59, -107, -169, -245, -335?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -30, -31, -32?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*k + 20 = -4*k, -2*d = 2*k + 50. Let n be ((-9)\/d)\/(6\/(-8)). Let i be (-1)\/((-2 - 0)\/(-2)). Which is bigger: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*l + 287*l = -2*f + 140*l - 16, 0 = 3*l + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -100222201 (base 3) to base 15\nAnswer: -2257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*x + 2*r - 49 = 0, 3*x - 2*r + 58 = 11*r - 8*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*a*d*m**2 + 9*a*d*m*x - 3*a*d*x - 58*a*m**2 - a*x - 4*m**2*x with respect to d.\nAnswer: -11*a*m**2 + 9*a*m*x - 3*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20213 (base 4) in base 2?\nAnswer: 1000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 522.\nAnswer: -1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 288 by 4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -0.79. Let g = 0.161 - -0.048. Let v = n - g. What is v rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1140 and -76?\nAnswer: 86640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 10*f - 6. Let u(n) = 4*n + 7. Calculate the remainder when u(16) is divided by r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177*a - 176*a + 543*a - 191*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5354611 is divided by 1830.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**4\/12 - 2*v**2 + 82*v. Let n(y) = -5*y - 38. What is n(k(d))?\nAnswer: 10*d - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 14\/33, -0.3, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2350*(-88)\/(-4400)*-1\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**5 + 48*l**4 - 120*l**3 + 112*l**2 - 36*l.\nAnswer: -4*l*(l - 9)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.09 - 2.09. Let l = 6 + i. Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -834 + 1432. Let o be (-104)\/(8\/(-24)*12). What is the highest common divisor of s and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.82961 - 0.83. Round s to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4093951*t**2 + 3*t - 397612 wrt t.\nAnswer: 8187902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*(1 + -3 + 1 + sqrt(19) + -1 + -2)*1 + -4)**2.\nAnswer: -44*sqrt(19) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -24*z + 188. Determine a(4).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25958977 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3678)\/(-33102))\/((-5)\/810).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**2. Let w(r) = r**3 - 61*r**2 + 3. What is -7*m(q) - w(q)?\nAnswer: -q**3 + 75*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.2525742g?\nAnswer: 252574200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 15*p. Let i(w) = -w + 3. Let y(k) = -2. Let v be 30\/(-40) + 33\/12. Let m(n) = v*i(n) + 3*y(n). Give m(a(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -5  (b) 4  (c) -1\/2  (d) -2\/141  (e) 7\/4  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 1.2. Let g = 186500 + -186499.9. Sort g, 14, t in increasing order.\nAnswer: g, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4762, 2\/147, -25 in ascending order.\nAnswer: -25, 2\/147, 4762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113312708?\nAnswer: 2, 101, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h + 22. Let i be c(9). What is the second biggest value in 2, i, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-81 - (-2702218)\/33370)*(-5)\/(-4)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is d4946 (base 15) in base 8?\nAnswer: 2443664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 2:13 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {v: 9, o: 2, w: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -146?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -d**3\/2 - d**2 - 3*d. List the prime factors of x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -11\/4, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -5*n + 3*x + 46, -2*n + 2*x + 22 = 0. Suppose 0 = -4*a - 2*w + 852, 93*a - 91*a - 430 = -3*w. What is the lowest common multiple of n and a?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2dd - -69f97?\nAnswer: 6a274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 2*a + 18. What is the remainder when 16 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 g, and 1 b when three letters picked without replacement from qqbqgbqqgbqqqqqqqq?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 4, t: 15}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 7*n + 40. Let z be (n\/4)\/((-1)\/2). What is the third derivative of -2 - y**3 + 3*y**2 + z - 3 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 5*w + 436, 3*v + 170 + 491 = 4*w. Let z = -404 - v. Let r = 466 - z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 10 = m + 3*m, -3 = m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 209*s + 1167. Let i be c(-5). Is i > 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 23\/5 + 18\/(-30). Let b = 6 - w. Suppose 32 = 2*h + b*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -11. Let w = 11 + k. Let s = -1 + w. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/3?  (a) 2\/29  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 15 = 33*g - 35*g, -5*g = 5*s - 55. Solve -5*t + g*t = -31*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.292447727 plus 0.734?\nAnswer: 3.026447727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -92 + 284. What is the greatest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29587405.\nAnswer: 5, 5917481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 4*h**2 + 9*h + 12. Let m be z(7). Suppose -8*x = 5*t - 10*x - 3155, m = t + 3*x. What are the prime factors of t?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/3 - (-50)\/210. Put -5, j, 3 in ascending order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/90 and (-6)\/27 - (2 - (-1551)\/(-810)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 4 + 14. What is the tens digit of s - 5\/((-20)\/52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 3:03 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -503142 to the nearest one thousand.\nAnswer: -503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) - (-5*sqrt(99)*1 - sqrt(99))) + 1*(sqrt(99) - -2*sqrt(99)))\/(sqrt(324) + (-5*sqrt(324) - sqrt(324)) - (sqrt(729)*4 + sqrt(9) - sqrt(9))).\nAnswer: -5*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of 29*i**4\/24 + 5*i**3\/6 + 11*i**2\/2 + 4*i. Let g(o) be the first derivative of z(o). What is the units digit of g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16380 divided by -14?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**3 + 160076*y**2 - 234706080*y + 84518059248.\nAnswer: 4*(y - 714)**2*(y + 41447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4579 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 167*o**2 - 1324*o - 8. Calculate the remainder when 468 is divided by m(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(16) + (sqrt(256) - sqrt(16))) + sqrt(16))\/(sqrt(968) - sqrt(968)*-1))**2.\nAnswer: 529\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x - 2. Let j(d) = -d + 1. Let i(z) = -5*j(z) - 2*s(z). Let b be i(1). Let f(y) = -3*y + 1. Determine f(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -705 - -1429. List the prime factors of m.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 834580454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**3 + 21*q**2 - 25*q - 8. Let g be h(9). Let x = -112\/11 + g. What is the nearest to -1 in x, 5, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2, 2, 16, 34, 50?\n\"Answer: -x**3 + 11*x**2 - 22*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 1 - 1)*-4. Suppose -2*f + 4 = 3*z - 8, 0 = -4*f - g*z + 20. Suppose 3*i - 126 = -h - 2*h, f*h = 0. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/20677009 and 51\/870254.\nAnswer: 3184259386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 35369786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17547087.\nAnswer: 3, 5849029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 87 + -59. Suppose -2*b + i = 6. Suppose c - 26 = -5*r - b, 4*c - 26 = -3*r. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -39, -137, -327, -639, -1103?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23621, -47312, -71003, -94694, -118385?\nAnswer: -142076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v**3 - 4*v**4 + 12*v**2 - 10 + v**5 - 2*v**4 - 4*v**5 + 4 - 3*v = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - j = -122, -7*j - 660 = 5*q - 2*j. Let v = 135 + q. Suppose -2*y - 2*y + 52 = 4*o, 3*y = 5*o + 63. Calculate the highest common factor of y and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 36 + 33*q + 35 - 71 as m*q + a and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1609868641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.002  (b) -4  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -2\/15, 2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2446*z**2. Let r(b) = 366*b**2. Give n(r(a)).\nAnswer: -327656376*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57505542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-11)\/2 - -4)*2. Suppose 28*c - 270 = 37*c. Let x be (c\/90)\/(2\/(-12)). Put x, i, -2, 1 in increasing order.\nAnswer: i, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 + 944 = 221*h + 23*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(152) - -5*sqrt(152)))\/sqrt(8).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -7*d - 25 - 25 + 40. Let x be r(-2). Suppose 3*p = p, -x*p = 3*y - 2514. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55, 705, 2195, 4861, 9039?\nAnswer: 15065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**3 + 4*s**3 + 0*s**3)*(12 - 12 + 8*s**2) + 845*s**2 + 91*s**5 - 845*s**2.\nAnswer: 99*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 24*j - 3 = 20*j, 3*s - 5*j - 26 = 0. Let u = -5 + 8. Suppose -u*g - 112 = -7*g. Calculate the highest common divisor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 6 = -f, 2*f = -0*f - 4*w - 6. Let u be 4*(-3)\/(-2) - f. Suppose 18 = d + u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 584 and 13724.\nAnswer: 27448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -6*k - 5. Let b be (-41 + 39)*(-3)\/(-2). Let d(v) = -13*v - 9. Determine b*d(t) + 7*w(t).\nAnswer: -3*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 11*j - 1. Is t(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8*g = -126. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p**3 - 76*p**2 + 1302*p - 1224 = 0 for p.\nAnswer: -51, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1031  (b) 4\/3  (c) 23  (d) 3  (e) 0.4  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) 4  (c) -5\/2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 274166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -303555 divided by -343?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (91*a**2 + 2*a - 25*a**2 - 1 - 38*a**2)*(-5 + 3 - 1).\nAnswer: -84*a**2 - 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c = -7*c - 4*x + 39, -44 = -4*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*g + 6 = -32, -5*g + 13 = f. What is the remainder when 210 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 612 divided by -9.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233633441.\nAnswer: 233633441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = x + 5*q - 6, -5*x - q = -212. Suppose -x = -j - 3*m, -2*j - m - 290 = -7*j. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**5\/s**(2\/9))\/((s*s*((s*s**(2\/9))\/s)\/s*s)\/s)**29)**33 assuming s is positive.\nAnswer: s**(-1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3465946?\nAnswer: 2, 11, 157543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1045*y = 148*y + 29825 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 54*g - 4 + 3 + 1 + (-3 - 2 + 3)*(0*g - 4*g + 3*g) - 3*g + 2*g - 4*g.\nAnswer: 51*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -8*s + 3. Is 9 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 3 + 5. Suppose -3 = f - s. Let p = 235 + -235. Which is the closest to p?  (a) f  (b) 0.3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2*o**2\/5 + 43548016*o\/5 + 237053712192032\/5 = 0?\nAnswer: -10887004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -149.417 - -131.43. Let s = 18 + b. Let n = s - -0.087. Which is bigger: n or 2\/29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 90332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 61*a - 58*a - 15, -b = 3*a - 22784. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9\/2 - (-2)\/4. Suppose 0 = -4*g - n*h + 7*h + 1071998, g - 2*h - 267998 = 0. What is g rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 279\/99 - 2\/(-11) - 0. Solve -3*b + 3 = h*k, 0 = 2*b + 2*b - 4*k + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 19 - 7cb?\nAnswer: -7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**2 - 3\/32*z**4 + 0*z + 1\/12*z**3 + 0 - 1\/48*z**5. What is d in s(d) = 0?\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + -2 + sqrt(1573) + -5)**2 - (sqrt(91)\/sqrt(175) + 2).\nAnswer: -1541*sqrt(13)\/5 + 6339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -249 + 0*w**3 - 10*w**3 + 249 + 3*w**3 - 16*w**2. Let y(u) = 3*u**3 + 8*u**2. Determine 2*o(c) + 5*y(c).\nAnswer: c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 380 + -105. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t**5 + 80*t**4\/3 + 2*t**3\/3 - 8*t**2\/3 + t\/3 = 0. What is t?\nAnswer: -1\/3, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1808482 divided by 8.\nAnswer: -904241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4 = -5*y - 4, -y - 2*m = -4. Let z(f) = -3*f - 1. Let g(i) = -2*i - 1. Let l be ((-24)\/(-30) - (-34)\/20)*2. What is l*g(v) + y*z(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 4204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2.3  (b) 3  (c) -0.34  (d) 0.23  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45 + -31. Let d(b) = b**2 - 15*b + 16. Let f be d(y). What is the third smallest value in f, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -l**4\/12 - 8*l**3\/3 + 8*l**2 - 9*l - 1. Let d be p(-10). Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 472, 892, 1310, 1726, 2140?\n\"Answer: -a**2 + 423*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b + 4. Let l be u(0). Let k be ((-6)\/l)\/((-24)\/1216). Let h = k + -50. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 105 - 143. Let g = v - -26. What is the least common multiple of 21 and g?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, t: 17}. What is prob of picking 1 t and 1 h?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 2102112?\nAnswer: -2102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 296 and 5.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8282 and 121770.\nAnswer: 12298770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z**3 - z**2 - 3*z. Let w be (-4)\/(-6) - 19\/(-3). Let t(b) = -6*b**3 + 3*b**2 + 7*b. Suppose 0*m + 44*m = 132. What is m*t(r) + w*h(r)?\nAnswer: 3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -1451.\nAnswer: 580.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (11111 - 11130) + -1 + -74?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 211027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 209, 211, 215, 221, 229, 239?\n\"Answer: h**2 - h + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/27 and -7 - (-6)\/((-107730)\/(-133429)) - (-27)\/(-63)?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 20*f**2 - 213*f + 1289. Determine j(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-55)*(-44484)\/5392.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 138 - 110. Let h = 31 - p. Factor 0 - h*g + 9\/2*g**2 - 3\/2*g**4 + 0*g**3.\nAnswer: -3*g*(g - 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 10*i**3 + 1614*i**2 - 4252*i + 1968 = 0.\nAnswer: -164, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*c**3 + 1 + 14*c**2 + 11*c**3 - 2 + 2*c - 23*c**3 to g*c + h + l*c**2 + t*c**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -341391.438 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n. Let y(d) = -d**3 - 2*d**2. Let s(p) = -2*p**2 - 2*p + 2. Let g be s(-2). Let f be y(g). Let h(o) = -3*o - o + f*o + 3*o. What is h(l(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)*-1*6 + sqrt(170))\/(sqrt(640) + sqrt(640) + (sqrt(640) - (sqrt(640) - (-4*sqrt(640) - sqrt(640)))) - sqrt(640) - sqrt(640)))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 5*p + 17617 = 0, -5*p + 4*p = 5*m - 29369. Which is bigger: m or 5875?\nAnswer: 5875","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -751*o**2 + 353*o**2 - 4719 + 402*o**2 + 2*o.\nAnswer: 4*o**2 + 2*o - 4719","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3\/4, 61, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -1.939, 26252 in descending order.\nAnswer: 26252, -0.2, -1.939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 + -1)*15\/18. Which is the second biggest value?  (a) v  (b) -2  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*237.\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - 16\/(-6))\/4. Let k = -160 - -164. Let o be ((84\/3)\/k)\/(2 + -4). What is the second biggest value in w, o, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qi when two letters picked without replacement from ejiveqhveejv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**8\/120 - 58*w**7\/525 - 3*w**6\/100 + 29*w**5\/75 + 4*w**4\/15 - w**2 + 27. Let t(i) = 0. Calculate i.\nAnswer: -8, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57861354?\nAnswer: 2, 3, 9643559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -m**3\/3 + 7*m**2\/2 - 6*m + 2. Suppose -3*z - y - 99 = 2*z, 0 = 2*z + 3*y + 50. Let w = z - -25. Calculate v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 0. Solve 0 = 2*n + 5*z - w*z - 14, n = 3*z - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 15*k**2. Let f(v) = -10*v + 130. Let u(j) = 3. Let t(d) = -6*f(d) + 260*u(d). Calculate w(t(c)).\nAnswer: 54000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/11705748 and 143\/12?\nAnswer: 11705748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 10\/3*o**3 - 2*o**2 - 1\/20*o**5 + 3\/4*o**4 + 2*o - 2. Let d be i(10). What is the highest common divisor of 64 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + -4. Suppose 29*k = 163*k + 95*k + 229. Put 4, s, k, 0.2 in decreasing order.\nAnswer: 4, 0.2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-14\/5)\/u*u*u**34 assuming u is positive.\nAnswer: u**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 5*f + 9. Let i be c(6). Let o be (-6)\/(-27) - 50\/(-18). Suppose o*z - 17 = -2. Solve -i - 5 = z*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 175*p - 917. Give q(6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, q: 10}. What is prob of picking 2 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45 + 86. Let h = 15 - 10. What is the remainder when m is divided by ((-21)\/h)\/(1\/(-5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jexg when four letters picked without replacement from jegggglgxttt.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 173376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1542 + -1542.053. What is the second smallest value in a, 0.1, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 10:49 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 5  (c) -46  (d) 2  (e) -4\/5  (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 3) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1*(sqrt(605)*3 + 0) + -1 + 1*(sqrt(605) + 0) + sqrt(605)))**2.\nAnswer: 198*sqrt(5) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uzu when three letters picked without replacement from {l: 2, h: 1, i: 3, u: 6, z: 6}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19\/4 in 3\/8, -0.09, 2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 7*g + 9. Let w be f(8). Let j = -61 - w. Solve -2 = 4*x + j*m, 3*x = -x + m - 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*n + 3*b, 5*n = -3*b - 50 + 58. Let y(x) be the second derivative of 0 + 0*x**2 + 9*x + 0*x**3 - 1\/12*x**n. Factor y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**4\/12 + 2*l**2 - 2*l. Calculate the least common multiple of u(3) and 2\/(-9)*1719\/(-382).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11990926279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**4\/3 - 1865*x**3\/3 + 1852*x**2\/3 + 7456*x = 0. What is x?\nAnswer: -3, 0, 4, 1864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f**2 - 3*f + 3*f - 3 - f**2 + 3 + (-3*f - 4*f + 6*f)*(-5*f + 2*f - 6*f) to the form l*f**2 + r + d*f and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75539, 302204, 679995, 1208924, 1889003, 2720244?\nAnswer: 3702659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2 = -y, -2*y + y = 2*o. Let f = -7.7774 - -0.1074. Let s = 7.77 + f. Which is the closest to y?  (a) s  (b) -3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -0.52.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-6*(6*(sqrt(7)*-1 + -5 + sqrt(63)\/sqrt(144) + (-6*(-2*sqrt(84) + sqrt(84) - sqrt(84)) - sqrt(84))\/sqrt(12)))**2.\nAnswer: -328509 + 44280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**4 - 2*m**3 - 16*m**2 + 2*m + 15 = 0.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -26*(10 - (-21)\/(-2))*-454200. What is u rounded to the nearest 10000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -8*l + 3*l. Let o be (-26)\/l + (-10)\/(-15). What is g in -3*g**2 + g + 7*g**5 - 9*g**3 + 3*g**4 - g**o + 2*g = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(-7)\/476*8 - (-6)\/9. Suppose 3*u + 5*k + 3 = 0, -2*k = 2*u - 6*u - 4. Let h = -2 - u. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 841 = -5*j - 850, 10*w = 160 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, o: 3, u: 9, z: 2, t: 1}. Give prob of sequence otz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 3*q - 4*q)*((2*q - 5*q + 5*q)*(-4 + 0 + 2) - q + 2*q - 3*q + 2*q + 0*q - 4*q + 0*q + 4*q - 2*q - 3*q + 3*q + 2*q + q + 6*q - 2*q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 185641 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-1)\/2*2 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - -16. Suppose -185 = -7*u + 2*u - 5*j, -m*j + 194 = 5*u. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 24 = -4*s. Suppose -s*o - 3*i = -1, -5*i - 49 = -4*o - 8. Suppose -o*x + 4*b = -60, -3*b = -8 + 2. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.291*-0.05.\nAnswer: -0.01455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 6*f**2 + 2*f - 1. Determine q(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-567)\/(-6)*(40\/(-2) + (2544\/144 - -3))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78125 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 96*k**2 - 6*k - 579. Let h be v(-96). What is the third biggest value in 1\/4, h, -4, -107?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 5*c - 3. Let p(y) = -2*y**2 + 3*y + 2. Let u be p(3). Suppose -5*l + 15 = -0*l. What is the lowest common multiple of l and x(u)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166115008 to the power of 1\/2, to the nearest integer?\nAnswer: 12889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*2)\/((-30)\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**3 - 18*f**2 - 91*f + 418. What is l(13)?\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.88 + -0.12. Let k be (-1 - -4)*2\/3. What is the nearest to k in -0.2, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**3 - 20*o**2 - 13*o - 52. Is z(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 64\/14 + 0 + -5. Let n = 1.06 + 3.95. Let q = 0.01 - n. Which is the second biggest value?  (a) s  (b) q  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67 + -59. Let g(a) = -a**2 + 7*a + 4. Let d(q) = 2*q**2 + 5*q + 2. Let z be d(-3). Calculate the lowest common multiple of x and g(z).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.08 + -1.68. Let z = y + -13. Which is the closest to 1\/2?  (a) z  (b) -1\/6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 426318 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3*a = 105, 4*v - 2*a - 168 = -v. Find the first derivative of 3*o + v + 8*o**2 - 42 - 3*o wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -10918*d - 65471. Calculate b(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -28?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5770 and 412500185?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 140947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, q: 7, n: 5}. Give prob of picking 1 s and 3 q.\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 61?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3295, 6617, 9927, 13219, 16487, 19725, 22927?\n\"Answer: -t**3 + 3329*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -5, 0.2, 22\/41, 1 in descending order.\nAnswer: 1, 22\/41, 0.2, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.4 + -1. Let u = 3.4 - f. Let y = -2 + u. What is the closest to -2\/5 in y, 3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12216 or -403144\/33?\nAnswer: -12216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -5*p**3 - 5*p**2 - 19*p + 19. What is the remainder when 201 is divided by h(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -488947796 - -488947888.0000089. Let p = b + -92. Round p to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = 11*m + 19*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - p = 12, 4*s - 4*p = -s + 13. Suppose -5*o - 3*g = -40, -2*o - 15 = 156*g - 161*g. Calculate the highest common divisor of s and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -225*g**2 - 3*g + 48. Let j(n) = 451*n**2 + 7*n - 90. Let y(m) = 5*h(m) + 2*j(m). What is the first derivative of y(f) wrt f?\nAnswer: -446*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111*i**2 - 3*i**4 + i**3 + 111*i**2 + 2 + i**3 to the form b + v*i**4 + u*i**2 + s*i + m*i**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-9)*(-21)\/(-4). Suppose -4*u + 4129 = -w*n + 12*n, -3*u = -4*n + 3328. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299172\/(-2675) + (-48)\/300.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m + 2. Let x be (-2)\/(1\/3*-1). Let s(a) = -5*a - 2. Let d(o) = x*s(o) + 4*f(o). Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14232003 (base 5) to base 4.\nAnswer: 210120023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -964458 = -53*v - 86*v - 46502. Calculate the greatest common divisor of 52 and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -8*y**3 + 26*y**2 - 36*y - 657. Let p be c(-9). Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*v**3\/7 + 66*v**2\/7 + 204*v\/7 + 144\/7 = 0. What is v?\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 15 - 1 = 2*i, 0 = -4*i - 3*t + 49. Let j be ((-2)\/50)\/(4\/i). Let r = 23\/30 + j. Which is the smallest value?  (a) -3  (b) r  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q + 2. Let c(d) = 3 + 213*d - 427*d + 211*d. Let m be 60\/14 + (-4)\/14. Give m*c(t) - 5*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 2*s**3 + 2*s)*(-6*s + 0*s + 4*s)*(-1 - 1 + 4) + (4*s**2 - s**2 - s**2)*(-6*s**2 + 3*s**2 + 2*s**2).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2718777 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 1727 divide 30219046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1621807542 a multiple of 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131975 is divided by 3008?\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 8*q**2 - q + 69. Let r(d) = 2*d**2. Determine -5*r(i) + y(i).\nAnswer: -2*i**2 - i + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 2)*(-r + 0*r + 3*r) + ((-1 - 1 - 2)*(13*r - 6*r - 3*r) - 2*r - 12*r - r)*(1 - 2 - 1) in the form o*r + i and give o.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (64\/(-20))\/(((-12)\/230)\/3). Suppose 50*v - 46*v - f = 0. Calculate the smallest common multiple of (-6)\/(1 + 6\/(-2)) and v.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 165808*d*w**3 - 24*d*w - 34*w**4 + 48412*w wrt w.\nAnswer: 994848*d*w - 408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 279208029 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.2  (b) -2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 5*h + 6. Let o be a(-4). Suppose 0 = -o*y - 0*y + 6. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) + (sqrt(65) - 5*2*sqrt(65)))) + sqrt(65) + sqrt(65) - sqrt(65))\/sqrt(5))**2 + 0.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4457879432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*x = -148*x - 159 - 45 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 4*g**3 + 4*g**2 + 4*g - 1. Let r be h(-2). Is 5\/(r\/15) + 112 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 869*f**2 - 869*f**2 + 483*f**3.\nAnswer: 483*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -3*h + 503, -2*h - 3*z = -0*z - 367. Let n be (-6 - 0)\/(12\/8). Let d be 348\/22 - n\/22. What is the greatest common factor of h and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - a**2 - 6*a + 5. Let v(q) = -11*q - 3. Let k be v(0). Let u(s) = -s**3 - 5*s + 4. Let b(g) = k*w(g) + 4*u(g). What is b(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c8557 (base 15) to base 3.\nAnswer: 11001110100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.025 + -4.975. Sort 1\/2, d, 1\/10, 0.\nAnswer: d, 0, 1\/10, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oopop. Give prob of picking 2 o and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 966797 and 48763.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (81 + 3 + 22 - 16)*(-5*i + 0*i + i).\nAnswer: -360*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, u: 1, i: 2, x: 3, h: 3, c: 3}. Give prob of picking 1 u, 1 l, and 2 x.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, d: 2, m: 2}. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/8 - 31*t**3\/8 + 333*t**2\/8 - 1053*t\/8 + 135.\nAnswer: -(t - 3)**3*(t + 40)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 9 = 6*n. Is 2225\/(-8 - n)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 2:02 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17359883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 6*i + 159. Give g(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*h - k - 3*k, 4*h + 5*k - 12 = 0. Suppose 0 = -h*n + 5*n - 12. Solve c = s - n, -s + 1 = 3*c + c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4600705  (b) 5\/2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p - p - 3*p. Let h be 2\/(-4)*(0 + 0). Let b(m) = 4*m + 2*m**2 - 4*m + h*m. Determine o(b(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 - 23. Let x be (-36)\/16 + q\/8. Does 16 divide x\/(-8) - 1100\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away -0.31?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -457*p*y**3 - 21638*p*y + 2217*p + 3543 wrt y?\nAnswer: -1371*p*y**2 - 21638*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3775 is divided by 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1306*n - 19*n + 199*n)*(n + 4*n - 3*n)*(n**2 - 2*n**2 - 3*n**2) to the form w*n**4 + h*n + u*n**2 + s + a*n**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252 = 33*k - 5*k, -685 = 2*n - 2*k - 1381 + 684 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 761 a factor of 511143448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -307553.286 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 185935 and 110905.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 519 - 5?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.3  (b) 1  (c) 4  (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 190760 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (9 - (11 + -2))\/(1 + 0). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 - v + 1727. Let p be i(0). What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 342 - 308. Let h be ((-382)\/(-14) + 1)*(0 - -7). Suppose -k = 2*k - h. Calculate the remainder when k is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -d + 11. Suppose 2*s + 3 - 2 = -d*z, 3*z + 3 = 0. Let r = s - -28. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f - 21. Let y = -290 + 290. Determine l(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + (sqrt(11) + (sqrt(11) + 1)*2 + -2*sqrt(704) - (sqrt(44)\/(sqrt(4)*-2) + sqrt(99)*1))))**2.\nAnswer: -1395*sqrt(11) + 96039\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g - g - 2*p = 2, g - p = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 15) + (-1 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.26 + 0.06. Let y be (9\/(-9))\/(5 - 2). Put 1\/2, 0.4, y, n in descending order.\nAnswer: 1\/2, 0.4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + -6 + -10 + 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from chahakcaahakacabcaah?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 2*b**2 + 5*b - 2. Let r be x(3). Let t be 4 + 0 + ((-27)\/3 - -5). Solve 0 = -r*v + 4*h - 12, 2*v - 3*v - 3*h - 7 = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (-14 + (19 - 11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 10*q - 1. Let v(p) = -19*p + 1. Determine 5*s(l) + 3*v(l).\nAnswer: -7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 1100*u + 1096*u - 4 = 2198*u, -7*c - 37 = -5*u - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -27.881?  (a) -42  (b) 2  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 w, and 1 r when three letters picked without replacement from nnrwnrwrrnnwn?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a factor of 35100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 152 + -136. Solve -4*y = h - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*j - 84 = -108*j + 13*j. Let -1\/7*v**3 - 150\/7 + 5*v + 4\/7*v**j = 0. Calculate v.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 391*n**2 + 1049*n**2 + 2117 + 1207*n**2 + 187*n**2 + 1141 wrt n.\nAnswer: 5668*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/((-15)\/(-12)*2). Solve -2*w - 4 = o*w + 3*j, 4 = -j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.26 - -7.66565\nAnswer: 7.92565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 478522?\nAnswer: 2, 11, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -43 (base 12) to base 9\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -17*m**2 + 3*m + 3. Let c(g) = 86*g**2 - 13*g - 13. Let x(v) = 2*c(v) + 11*q(v). Let o(z) = -5*z**2 + 2*z + 2. Calculate -7*o(k) + 2*x(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 17*v**2 - 3. What is w(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, r: 1, e: 2, i: 1, h: 1}. What is prob of sequence rq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 399 a factor of 1015383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 2:10 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21421*o**4 + 4*o**3 + 232029 wrt o.\nAnswer: -85684*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/1183, 0.2, -1\/518, -4, -0.3?\nAnswer: -1\/518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/3154216 and -119\/522.\nAnswer: 823250376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*l + 7*l + 499 - 43*l + 10*l + 247 to t + r*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - c + 6. What is k(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4264*b**2\/3 - 750*b - 2014\/3.\nAnswer: 2*(b - 1)*(2132*b + 1007)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210486 is divided by 208.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -4*m**3 + 2*m**2 + m. Let q(c) = -3*c**3 + c**2. Determine 2*g(s) - 3*q(s).\nAnswer: s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (12 + -4) - (-4 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + 0.1. Let n = -279 - -300. Suppose 0 = f - 5*k - 2, 10 = -n*f + 26*f + 4*k. Which is the closest to f?  (a) 1\/7  (b) s  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1429*w**2 + 741*w**2 + 750*w**2 + (w + 0*w - 4*w)*(4*w - 4*w - 3*w).\nAnswer: 71*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 129249968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-12))\/((-570)\/171).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x + 488 - 170 = -177 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 7:06 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19002600 by 4750650.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 12 + 32 = 0. Let m(n) be the second derivative of -n**3\/3 + n**2 + 280*n + 2. Determine m(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmjmmmmjjj. Give prob of sequence jmjj.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*j + 5*j**2 - 4*j**2 + 2*j**3 - j**2 wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 580 or 283?\nAnswer: 580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 120*b - 1094*b**2 + 1111*b**2 + 6 - 127*b to the form y*b + o*b**2 + j and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from cwccccccccwc?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 17094000 divided by -660\nAnswer: -25900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-252)*(30 - 29 - (-2 - 0)). Suppose -3*h + 14 = 2. Suppose 16 = h*p - 0. Which is the third biggest value?  (a) y  (b) -5  (c) p  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 11:08 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 1376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b*d*h*v - 8*b*d*h - 72*b*h**2 - 19*b*v + 2*b + d*v - 2*d wrt h?\nAnswer: -2*b*d*v - 8*b*d - 144*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20626783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*k**2 + 63*k + 0 + 0 - 228*k.\nAnswer: -24*k**2 - 165*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of -3*b**3\/2 - 45*b**2\/2 + 17*b. Let p(t) = 2*t + 11. Let g(k) = 4*h(k) + 15*p(k). What is the units digit of g(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 395 a factor of 1611325080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-214*b - 4*b - 200*b)*(-1 - 7 + 1)*(3*b - 4*b - b)*(3*b**2 + 2*b**2 - 3*b**2).\nAnswer: -11704*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -116746*r**3 - 186730.\nAnswer: -350238*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-402)\/4*6\/(-9). Let o = 87 + w. Suppose -o = -2*b + 4*z, 0*b + b - 80 = -z. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**5\/z*z\/z**(-4\/5))**35\/(z**(1\/5)\/z**(-4\/3))**(-44) assuming z is positive.\nAnswer: z**(4057\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, h: 1, f: 1, q: 5, i: 1}. Give prob of sequence rrir.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 15*d**2 - 614*d - 33. Calculate i(41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -1197622.\nAnswer: -479048.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 5*x**2 - x + 7. Let v(r) = -r + 10. Let y be v(8). Suppose -1 = -j - y. Let d be (3\/6)\/(j\/(-10)). Calculate l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 291907 is divided by 9687.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 1:42 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*o + 52 + 182 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that w**4 - 19*w**3 + 99*w**2 - 189*w + 108 = 0.\nAnswer: 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-4 - -5) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 3*j + 2. Let b be p(-3). Solve 0*q + b = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 4:03 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -4, 56.\nAnswer: -6, -4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 41 + (-6 - -3). Suppose -2*g - 10 = m, -3*g - 5*m + 6 = -7*g. Let q be 4*-1 + (-11 - g) + 68. Calculate the greatest common divisor of t and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-4) - (9 - 0). Which is greater: -26\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 10 - 2 = -2*b, -b = 3*j + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 83051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - 5\/(-2 - 3). Suppose 7*w - 1 - 6 = r. Solve 2*f + 3 + w = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 407*r - 29 = 404*r - q, -5*r = 2*q - 47 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*z = 15, -2*d - 2*z - 10 = -3*d. Calculate the common denominator of ((-274)\/(-48))\/((-1)\/(-2)) and 12\/64*46 + d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6.98  (b) 193\/49  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -12*r - 79 - 106 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2326910 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1095205120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*b - 33 = -176 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 158, 1, -49 in descending order.\nAnswer: 158, 1, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 206.2 + -205.8. Let w = 2 - 4. Sort -1\/4, x, w in decreasing order.\nAnswer: x, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 1 - 55. Suppose 2*j + 6 = 2*n + d, -j - 16 = 4*n. Which is smaller: 2\/273 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c + 1. Let y(a) = 12*a + 11. Let m(f) = -2*r(f) + y(f). Differentiate m(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5494279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = h + 2*w - 26, 3*w + 6 = 0. Is 2\/h - 118602\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (14 - (42 - 127)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 5 + 3 + -8 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 4*p + 2. Let m be (-36)\/(-20) - p\/5. Let o(r) = r**2. What is o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/3 - (-1)\/3. Suppose 5*w + 22 - 67 = q. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1)**(-28)*s**(-6)\/s**(-6)*(s**(5\/2)*s**(2\/9)\/s)**46 assuming s is positive.\nAnswer: s**(461\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 687.3 + -687. What is the closest to -2 in 1, g, -53, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*x - 2*p - 9, -3*x = 2*p - 24. What is the highest common divisor of x and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 608 = -4*r - 2*y, -4*r + 2*y = 616. Round r to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one halves of a milligram in micrograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11107*k**2*w + k**2 - 7*k*w - 101*k + 2*w + 3 wrt k.\nAnswer: -22214*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -2*h**4 - 86*h**3 + 2052*h**2 - 8784*h = 0.\nAnswer: -61, 0, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 9*f + 2. Let u be d(9). Suppose 4*r - u*h = 90, 45 + 15 = 3*r + h. Suppose r*j = 23*j - 82. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 3*b**4\/16 + 97*b**3\/2 + 28227*b**2\/8 - 2345. Factor s(y).\nAnswer: 3*y*(y + 97)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 122 - -27. Let k = x + -72. Let s = -46 + k. What is the remainder when 89 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*u - 66*u - 63*u + 257*u - 63*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 11:02 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 515, 492, 457, 404, 327, 220?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.151 take away -449?\nAnswer: 527.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.15703 and -2?\nAnswer: 0.31406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*q = -54488, -488 + 22318 = 2*l + 5*q. What is the thousands digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 947 - 420. What is the units digit of (-5)\/10 + v\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 418 + 12.808\nAnswer: 430.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -3*s**3 + 5*s**2 + 4*s + 5. Let q(m) be the third derivative of m**6\/40 - m**5\/10 - 5*m**4\/24 - m**3 - 38*m**2. Give 6*o(f) + 5*q(f).\nAnswer: -3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82 and 40007923.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72\/9 - 5\/((-15)\/(-27)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97536.5756 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/6 of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -287.282 - -287. What is j rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/274578 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 516547 to the nearest 1000.\nAnswer: 517000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 31\/8 - 12\/(-96). Let u be 660206*4\/(-2083356) - v\/(-18). Let n = u + -1\/10522. Calculate the common denominator of 137\/18 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/15)\/((-50)\/2500)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, -2, -5, 4, -3 in descending order.\nAnswer: 47, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 183 + -183. Let t(f) be the second derivative of 0*f**4 + 1\/10*f**5 + y + 0*f**3 - 3*f - f**2. Differentiate t(i) with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 62, 3, -2 in ascending order.\nAnswer: -2, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2)*g)\/(g*g**(-8)) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -15, -4 in descending order.\nAnswer: 9, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (658\/35 + -17)*(-10)\/(-3). Let f(a) be the first derivative of 0*a**2 + 27\/14*a**4 - 18\/7*a**3 + o + 1\/21*a**6 + 0*a - 18\/35*a**5. Factor f(p).\nAnswer: 2*p**2*(p - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-14) + 898896\/(-1277584)?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -118, -261, -460, -715?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 201072 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 18 - 8 = 0. Suppose -3*y + 8 = s, 3*y = 5*s + r*y - 1. Let h = 1 - 0.9. Which is the closest to h?  (a) 2\/13  (b) 4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/(-342) + (4 - 66\/(-54))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 5*g**2. Let n(o) be the second derivative of 503*o**4\/4 - 221*o - 1. Calculate w(n(x)).\nAnswer: 11385405*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -241.9649 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*l - 6*l - 19*l)*(11 - 9*l**2 - 11)*(38*l + 8*l - 9*l) in the form x + q*l**2 + c*l + r*l**4 + k*l**3 and give r.\nAnswer: 9324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5100 divided by 255?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/3*m**3 + 1\/3*m**5 + 0*m**4 + 0*m**2 + 0 + 1\/3*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30321103 - 3?\nAnswer: 30321100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -569*z - 1296 + 1296.\nAnswer: -569*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -5, -28, -3, -2, -90 in decreasing order.\nAnswer: 1, 0, -2, -3, -5, -28, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 27*g**2 + 1. Give d(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h + 10. Calculate q(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-432)\/27*(0 - (2 - 0)). Suppose 0 = -b + g + 49. Suppose 3*j + 75 = 2*m + 2*m, -4*j = 3*m - 75. What is the remainder when b is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*(-3)\/12)\/(8875\/(-8520)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 451.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((0 - -2) + (-12 - (1 + -18))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 132, 997, 3354, 7953, 15544, 26877, 42702?\nAnswer: 63769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = -462*g - 462 - 88 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -3) + 36\/9 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 3*b = 7*w - 15, 3*b + 17 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**3 + 236*x**2 + 7240*x + 24928.\nAnswer: -4*(x - 82)*(x + 4)*(x + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 5*g**2 - g - 2. Let b be 33 + 1\/2*-6 + 0. Let d be (-1)\/(-5) + (-126)\/b. Calculate v(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2736) + 1)*3)**2 + -1.\nAnswer: 7776*sqrt(19) + 886787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 203.8981 millennia to years.\nAnswer: 203898.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 - 0 - (-1)\/(-2)*2. Solve 2*w + w = 2*y + 6, c*w - 8 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 10:20 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.07, 0.29, 1, 27 in increasing order.\nAnswer: 0, 0.07, 0.29, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7, b: 1, v: 3, j: 1}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 PM and 9:33 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -526 in -0.5, 0, 41, 0.4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -152 or -150?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (66\/(-7))\/((-5)\/35). Let p be 2 - ((-63)\/3 - -1). Calculate the greatest common factor of z and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 1437831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -3*b**4 - 8014128*b**3 + 9*b**2 + 24042390*b + 16028256 = 0.\nAnswer: -2671376, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1329 = -311*m + 226 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 449*y - 223*y + y**3 - 226*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2*x = -1 + 17, x = -5*b - 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3133815270 to the nearest integer?\nAnswer: 55980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-42)\/(-40))\/(189\/(-756)))\/(0 - (-1)\/(-20)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4348 * -0.0876.\nAnswer: 380.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 7*f**2 - f + 11. Suppose 6*i - 26 - 16 = 0. Let k be l(i). What is the greatest common divisor of k and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8146081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 1, 316*m - 315*m = -2*y + 128. What is the smallest common multiple of m and 189?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5859)\/42)\/(-93))\/(4\/40).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 295 <= 293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221586 is divided by 3157.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (3\/(-9))\/((-1)\/387)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 10 - 18. Let n be 0\/(2 + (-2 - -2)). Suppose -5*v + 4*v = 0. Solve n = -t*u - v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + 0.02. Let j = 0.28 - 0. Let a = g + j. What is the third smallest value in -4, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of u**4\/6 - u**3\/6 - 4*u**2 + 29*u. Let a be k(5). What is the tens digit of (-2*a*1)\/(2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13682401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 163*v + 43. Give o(3).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 202588 times -0.5\nAnswer: -101294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*h - 10, -4*h = 14*v - 13*v - 10. Let w(u) = v*u - u**2 - u**2 - 3*u**2 + 9 - 2 - u**3. Determine w(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 649 and 1180.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-92)\/138*(-1 + (-8)\/(-11))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 301103634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((8 - -37)\/(-5) - 7) + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 1 + u**2 + 2*u**2 + 1. Let x(w) = -8*w**2 + 4*w**2 - 2 + w**2. Let s(t) = 5*x(t) + 6*z(t). What is the first derivative of s(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 7:42 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 2*z + 34, z = -r - 0*r + 13. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -169063, -169062, -169061, -169060, -169059, -169058?\nAnswer: -169057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b - 1. Let l(s) = 2*s + 2. Let u be -4 + 14\/6*3. Calculate u*l(z) + 7*d(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 5\/3*16378\/6465?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 24 - 4. Suppose l + 16 = d*l. Solve 0 = 5*i - 3*w - l, 12 = 3*i - w - 0*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -2, -43, -4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4 + 555342*u**3 - 23326716*u**2 + 326585000*u - 1524088944.\nAnswer: 2*(u - 14)**3*(u + 277713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-208)\/(-80) + -1 + -2)*490. Let g be 16\/(-7) - (-8)\/m*-7. Which is the second smallest value?  (a) g  (b) 1\/6  (c) -1  (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -4*q - 9. Let r be g(-3). Put 0, -1, r in descending order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 + r - 2. Let s(z) = -z**2 + 3. Let h(n) = 5*i(n) + 4*s(n). Let m be h(-5). Find the first derivative of 1 - 4 + 0 + m*t**2 wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*h + 19*h + 6*h**2 + 22*h - 35*h to a*h + u*h**2 + z and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 109273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -555.2715 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*g**3*y - 457*g**3 + 264*g**2*y - 2*g wrt g?\nAnswer: 54*y - 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 206621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86127 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46941*f**4 + 335*f**3 + 2*f**2 + 237045647*f + 1 wrt f?\nAnswer: -1126584*f + 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3413 greater than 112151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -16475 divided by -5?\nAnswer: 3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1692892 and 12.\nAnswer: 5078676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 6*p - 55. Suppose 0 = -5*z + 49 + p. List the prime factors of (-32)\/(-6) - (-8)\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 154*a - 798*a + 1677*a + 640*a + 1208*a in the form k*a + l and give k.\nAnswer: 2881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 191 + -187. What is the highest common divisor of z and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, n: 6, p: 1, j: 4}. Give prob of picking 2 t and 1 p.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 32760 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: Simplify (u*u*u**(-2\/9)*u*u**10)\/(u**(2\/7)*u**(1\/7)) assuming u is positive.\nAnswer: u**(778\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 259656978020?\nAnswer: -259656978019.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - w - 1. Let g = -18 - -11. Let l = g - -10. Determine t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 3075562872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m. Let a(o) = -2*o**2 - 52222*o. Determine t(a(u)).\nAnswer: -2*u**2 - 52222*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 174*h. Let u(b) = 23*b - 7. Let z(p) = 20*p - 6. Let m(l) = -6*u(l) + 7*z(l). Calculate c(m(f)).\nAnswer: -4*f**2 - 348*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 7 - 3)*(-12*j - 15*j + 24*j) - j + 2 - 2.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**5\/15 - 20*t**4\/3 + 1016*t**3\/15 - 2684*t**2\/15 + 118*t = 0.\nAnswer: -59, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eorrreeerroo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/1)\/(3\/6). What is the nearest to 5 in -4, -2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 2728454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (18\/3 - 0)\/2. Let p be o\/(27\/6)*6. Let g be p + -2*1 + -1. Solve 0 = -s - 6 + g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 392*t**2 - 1753640*t + 1961258450.\nAnswer: 2*(14*t - 31315)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -804.613 to the nearest integer.\nAnswer: -805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -23345257.8 - 0.2\nAnswer: -23345258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -537 + 104. Let r = -432.8 - w. What is the nearest to -0.1 in -2\/7, 0.5, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-36)\/(-198) - (-23)\/(-66). Which is greater: 2\/3 or c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, j: 2, o: 3}. What is prob of sequence oj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -aa41 + 0?\nAnswer: -aa41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 82.1 + -82. What is the closest to o in 0.4, -10, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -313543.69 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 9436 and 2085155\/221 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23\/5 - 79\/15. Let g = 14.4 + -9. Let b = -4.4 + g. What is the closest to b in 1\/3, 4, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3658482 months in years?\nAnswer: 0.03048735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 95603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 61, 52, 43, 34?\n\"Answer: -9*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69129796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**3 + 126*l**2 - 3*l + 8*l + 226*l**2 - l**3 - 7*l to the form h*l**2 + s*l**3 + x + u*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1994567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 96*z**2. Let j(m) = -m**2 - m + 1. Let o(t) = 2*t**2 + t - 1. Let q(x) = -j(x) - o(x). Give v(q(p)).\nAnswer: 96*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 498 and 215584034.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((6 - 13) + 6). Let o(u) = -7*u**3 - 2*u**2 + 2*u + 2. Let b be o(z). Let f = -6 - -9. Solve -f*n = -2*n + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 minus 7.543?\nAnswer: -7.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 6403827 and 6403825 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 335741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(((t\/(t*t**3))\/t)\/t)*t**(-3\/2))\/(t*t\/t**(-1\/3))**50 assuming t is positive.\nAnswer: t**(-673\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, h: 1, s: 2, u: 7, m: 3, j: 2}. What is prob of sequence juuj?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32551?\nAnswer: 43, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 6. Find the common denominator of (-17*3\/12)\/s and 101\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 5*r - 20760 = 123553, 4*m - 5*r - 577302 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(1216)*-1 + -3) + -4 + ((sqrt(475)*-1)**2 - sqrt(19))*-1.\nAnswer: -461 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14110340 (base 5) in base 3?\nAnswer: 21100011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 0.3, -1\/17, -114.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -1 - ((-3366)\/18)\/17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 - -6) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -22291348 to the nearest one hundred thousand.\nAnswer: -22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y - 18. Let k(n) = n - 24 + 2*n - 7*n - 13 + 2*n. Give -6*k(l) + 13*w(l).\nAnswer: -l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -3*l - 16*u - 6, 3*l - 14*u + 19*u - 15 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.322 * 7247\nAnswer: 2333.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/74 and -3\/573179.\nAnswer: 42415246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1675206681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15276?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 225522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8274)\/(-56) + (-1)\/(-4). Let v = f - 52. Is (1 + v)\/(-5 + 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 11*u - 5. Let y(m) = m - 1. Let o(d) = v(d) - 5*y(d). Let l(k) = -3*k. Determine l(o(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, t: 3, h: 2, x: 6}. What is prob of picking 2 h and 2 n?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -12. Let j = -374 + 956. Suppose w*k = 9*k - j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3b922 (base 12) to base 10.\nAnswer: 82538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/227 in -1\/2, -15, 2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -675 divided by 9?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 6:57 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 12:27 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -65 - -58. Let w be g\/(-1) + (-12)\/6. Suppose -q + w = -t, 10 = 5*q + t - 3*t. Solve a - 1 - 4 = q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a5a953 - -15?\nAnswer: -a5a939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 - 3*g + 2. Let c be l(3). Find the third derivative of -3*h**c + 0 - 2*h**4 - h**4 + 0 wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47 - 20. What is the lowest common multiple of -5 + -59*(-2)\/4 - 42\/12 and q?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 125*b**2 + 4*b - 4. Let u(m) = -10998*m**2 - 351*m + 351. What is 4*u(f) + 351*y(f)?\nAnswer: -117*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1650, -1649, -1646, -1641, -1634, -1625, -1614?\n\"Answer: k**2 - 2*k - 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -66 - -71. Solve 3*z + 2*z - w = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -18.82. Let w = 0.82 + o. Let s be 26\/7 - (-2)\/7. What is the second smallest value in w, 0.1, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99164*v + 45254 = -99538*v for v.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/1*966\/21252.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(1\/8)*d)\/d**(8\/7))\/(((d*d**(-1)*d)\/d)\/(d*d**(-1\/10))))**6 assuming d is positive.\nAnswer: d**(741\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z - 512*z**3 - 521*z**3 - 3*z + 8*z - 518*z**3 + 1554*z**3.\nAnswer: 3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 3*((sqrt(1620))**2 + sqrt(20)).\nAnswer: 6*sqrt(5) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 19001*n**3 - 2*n**2 - 2*n + 3. Let z be v(1). What is z rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (26 + -12)*(-1 + 0). Let m(t) = -21*t + 75. Is 27 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/4  (b) 65\/21  (c) -27  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*o - 888 - 1176 + 421 = 0 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 7*i - 7. Let g(b) = -b - 8. Let r be g(-4). Let t(w) = -8*w + 8. Let c(m) = r*n(m) - 3*t(m). Let h(f) = -2*f + 2. What is 2*c(l) - 5*h(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*f + 6 = -21*f, -5*v + 9 = -3*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of r**4\/84 - r**3\/42 - 3*r**2\/7 + 11*r. Determine s so that h(s) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90126 is divided by 262.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 29 + 103. Let w be (-66)\/m - ((-162)\/4)\/3. Let f = w - 6. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 2*u - 756597, -2*u = 242*x - 247*x + 756613. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**5 + 1628*m**4 - 61452*m**3 - 645372*m**2 + 2444904*m = 0 for m.\nAnswer: -441, -11, 0, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6576*c**5 + 8645*c?\nAnswer: 131520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -3*o - 0*o + 10, -39*j - o = -27*j - 120 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16587623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(270\/(-12)))\/(7\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110010111101100 (base 2) to base 13.\nAnswer: -32924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (54 - 118 - 67)*(-4*m + 2*m + 3*m) - 5*m - 31*m + 13*m.\nAnswer: -154*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/38 and -13\/1272.\nAnswer: 24168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -19240*l - 288608. Calculate o(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 - 19 = 52*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 8965.116 kilograms?\nAnswer: 8965116000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 45079081 to the power of 1\/2, to the nearest integer?\nAnswer: 6714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 13*t + 22. Determine n(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(-29))\/c)\/c**(6\/5))**(-1\/26) assuming c is positive.\nAnswer: c**(151\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-245685)\/(-13) - (-22)\/143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1002143 - 67?\nAnswer: -1002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -3561.96709 to the nearest ten.\nAnswer: -3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*h + 253 + 128 = 45 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 4*t**2 - t + 1. Let j(c) be the first derivative of c**3\/3 + 4*c - 1. What is the remainder when j(3) is divided by z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v + 68. Let z(i) = 266*i. Determine z(s(n)).\nAnswer: 266*n + 18088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 2)*(-3*x + 2 - 2)*(-2*x + 2*x - x**2) - 293*x**2 + 4*x**3 + 293*x**2 to the form a + c*x + o*x**3 + n*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 - -1.78853.\nAnswer: 1.80853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(120) + (sqrt(120) - sqrt(120)*1))\/sqrt(10) - (sqrt(1452) - sqrt(1452)*2))\/(sqrt(20)\/sqrt(80) + sqrt(4) - -4*-1*sqrt(4)))**2.\nAnswer: 6912\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c**3 + 2*c - 1. Let p(i) = -2*i**3 + i**2 + 2*i - 2. Let h(b) = -3*k(b) + 2*p(b). Calculate the common denominator of h(-2) and 46\/18 + 0\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3895*z + 632 = 1857*z + 1880*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (45\/(-6300)*231)\/(6\/(-8))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 9)*((-4)\/8 + 1). Find the second derivative of -29*p**4 + 142*p - 165*p + 3*p**3 - 3*p**y wrt p.\nAnswer: -348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**42*g*g\/g**(-7\/3)*g*g**3*g*g**(-29) assuming g is positive.\nAnswer: g**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, -6, 31, 2, -2 in descending order.\nAnswer: 31, 2, 1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 66402 and 459?\nAnswer: 199206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 29 = -3*r + 16, -r - 4*x + 22 = 0. Solve 0*k + 5*k = r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -1533*w + 2. Let i be j(-6). Round i to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**2. Let l(q) = 768*q**2 - 1546*q**2 + 773*q**2. Calculate p(l(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1425 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -42, -13 in decreasing order.\nAnswer: 5, -4, -13, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -18529601 and -82.\nAnswer: -18529683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b*g**2 - 230189853*b*g*k**2 + 2*g**2*k**2 + g**2*k - 634*g*k**2 + 2580*g with respect to b.\nAnswer: g**2 - 230189853*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12483, -48098, -107459, -190566, -297419, -428018, -582363?\nAnswer: -760454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**2\/7 + 110802*w\/7 - 887312 = 0.\nAnswer: -55457, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/3)\/(12\/630). Suppose -203 = -3*c - r. Calculate the highest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 2141 = 2*l + 2131, 33*x + 25 = 28*x + 5*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -17, -4 in increasing order.\nAnswer: -17, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93299.\nAnswer: 79, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((169\/(-3))\/(-13))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 9*b - 50. Let i be 248\/32 + 0 + 9\/(-12). Let y be w(i). What is the highest common divisor of 52 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-374)\/(-99) - 4)\/(8\/(-1584)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 11, a: 3, k: 1}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-5)*q*q)\/q)\/q*q**(3\/10)*(q**(-2\/7)\/q)**(-3\/2))\/(((q\/q**2)\/q)**(-7)\/(q**(4\/3)*q\/q**(-8))) assuming q is positive.\nAnswer: q**(-676\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 1 - 6 + (-4 + 3 + 2)*(3 + 5 - 4))*(-350 + 330 + 236)*(-h + 2*h**2 + h) as l + f*h**2 + b*h and give f.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 5*l**2 - 4*l + 8. Let k be d(4). Let p = k + 23. Is p less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from {j: 1, d: 2, l: 6, t: 1, c: 6, o: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 - 29. Let z be ((-4)\/(-14))\/(2\/14). Suppose k - q = -z*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, x: 1, d: 2, k: 2, t: 4, h: 3}. What is prob of sequence kxtk?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41014, 81964, 122904, 163828, 204730, 245604?\nAnswer: 286444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1349 divided by -16?\nAnswer: -1349\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 64989, 130018, 195047, 260076, 325105?\n\"Answer: 65029*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.36 in 1, 0.11, 21, -2\/7, -0.2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p**2 + 19165801*p - 19165801*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -15\/41, -2\/3, 1029, 5?\nAnswer: -15\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 398*q**2. Let m(n) = n. Give m(u(z)).\nAnswer: 398*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19 or 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 8 = -9*r. Let u be 9 - (r - (-1 - 2)). Is u at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 233*v + 3473. Determine y(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -4*t**3 - 8*t**2 - 11*t - 5. Let h(z) = z**3 + z - 1. Let c(s) = 3*h(s) + v(s). Give c(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 4)*(1 + 2 - 4)*(0*c - c + 7*c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 29765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -654756?\nAnswer: -654756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/(-252) + (-6)\/7\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/7140 and 157\/84.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.6494 - 0.0394. Let j = -5.61 + f. Let h be (-1)\/3 - 17\/(-6). What is the nearest to 0 in j, -8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52335672.\nAnswer: 2, 3, 23, 94811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + g**2. Suppose 5*f + 18 = 8*f. Let v(o) = -101*o + 5 - 1 + 100*o. Let y be v(3). Let r(l) = 7*l**3 - 5*l**2. Give f*z(j) + y*r(j).\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -698, -760, -942, -1304, -1906, -2808?\nAnswer: -4070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l**2 + 2 - 8*l**2 + 2 - 4.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and 3945733?\nAnswer: 3945732.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 327437505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 58555, 56299, 54045, 51793?\n\"Answer: a**2 - 2259*a + 60813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2022\/1685 - (-134)\/(-70))\/((-15)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**2 + 14*x - 6. Suppose -4*s + 5*s + 8 = 0. Let k be b(s). Solve -2*o = -5*m + 10, 5*o = -7*m + 2*m + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 4, -8 in ascending order.\nAnswer: -8, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/4 - 1935\/(-12). Let o = n - 109. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -11.4  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16\/23 - 251\/460. Let k = -9\/35 + o. Let w = -13\/140 + k. Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 191 - 122. Let f(m) = -j*m - 74*m + 144*m. Give f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.43 + -12.15. Let f = k - -2.72. Sort 2\/17, -4, 0.3, f in descending order.\nAnswer: 0.3, 2\/17, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, j: 4, f: 4}. Give prob of sequence fa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -3*h**2 + 3931074*h - 1287778566123 = 0.\nAnswer: 655179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.3, -1, -1.542578?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*10\/(-4)*-1. Let t(m) = 2 + 3*m + m**2 - m - j*m. Let u(i) = -i. Let f(k) = k**3 - 4*k**2 + k - 3. Let x be f(4). Give x*t(h) - 2*u(h).\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -510, -2037, -4626, -8325, -13182, -19245, -26562?\n\"Answer: -8*u**3 - 483*u**2 - 22*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7045\/15*(0 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -29*q - 6. Let u(w) = 7*w + 20. Let j be u(-3). What is the remainder when b(j) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -325*n**3 - 4*n - 42.\nAnswer: -1950*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-4*(-3)\/90)\/((-15)\/25)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6.304 * -0.0211\nAnswer: 0.1330144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2716 by 12.\nAnswer: 679\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 4*b + 5*b)*(-3*b + b + 4*b)*(-7*b + 3*b - 8*b) + (4*b - 4*b - 2*b)*(b**2 - 4*b**2 + 2*b**2) - 4*b**3 + 5 - 1 - 1.\nAnswer: -26*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 111010111011010101111?\nAnswer: 111010111011010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0589786 + 0.059. Round n to 7 decimal places.\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 372571545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4368 - 4367.95. Which is the closest to 40?  (a) -1  (b) 4  (c) 5  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 107*x**3 - 3*x**2 + 6*x - 9. Let n(t) = 7597*t**3 - 214*t**2 + 428*t - 642. Calculate -214*a(j) + 3*n(j).\nAnswer: -107*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + 1012\/44 - (-1 - -1)\/4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -82345*w**2 + 136526*w.\nAnswer: -164690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -180 + 180. Suppose w = 9*i - 37 + 1. Solve -2*b + x + 8 = 0, 0 = -2*b + 3*b - 5*x - i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 51, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 0.5508?\nAnswer: -3.5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*z - 18 = 5*z, 2*i + z + 15 = 0. Is 183\/122*(-11516)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/14 or -129?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 3365190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 - -29.87. Let h = i + 0.1. Let b = -0.19 + h. What is b rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1088695 is divided by 357.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 7*i**2 - 9*i. Let j(t) = t. Let z(n) = -4*j(n) - m(n). Let s(c) = c**2 + c - 1. Let h(o) = 2*s(o) + z(o). Let h(p) = 0. Calculate p.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*n = -193 - 50. Let f(z) = -z**3 - 9*z**2 + 5*z + 10. Determine f(n).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 280 - 4848*c - c**2 + 5124*c - 2*c**2 - c**2.\nAnswer: -4*(c - 70)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -85.9 - -81. Let w = u - -5.13. Let j = w + -0.22999978. What is j rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(5\/8)\/(g\/(g**(-3\/11)\/g)) assuming g is positive.\nAnswer: g**(-145\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 60*h + 18. Let k(q) = 17*q + 5. What is -18*k(u) + 5*n(u)?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*t - 24*t - 11*t + 2 - 2.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by 19.\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 8*f**2 + 2*f - 12. Let k be u(8). Suppose 3*s + 6 = -k*l - 0, -3*l = -3*s + 15. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2371 + -14287\/6. Find the common denominator of x and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 39625, 79417, 119211, 159007, 198805, 238605, 278407?\n\"Answer: o**2 + 39789*o - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8919 and 41612168.\nAnswer: 41621087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p*p**3*p)\/p*p\/(p*p*p\/(p*p\/p**(-2\/19)*p))*(p*p*(p*p**4\/p)\/p)\/(p*p**(1\/6)) assuming p is positive.\nAnswer: p**(1247\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-219341)\/(-88570) - (-5)\/(-2)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1688899 to the power of 1\/2, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53805 (base 15) to base 10.\nAnswer: 265055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2334136, 4668578, 7003020, 9337462, 11671904?\n\"Answer: 2334442*v - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 365*c**2 - 98470*c - 1257720.\nAnswer: 5*(c - 282)*(73*c + 892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2644334 and 87241.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 2*f**2 + 4*f - 3. Let i be q(3). Suppose -i*g = -16*g. Suppose 4\/7*p**2 + g*p - 2\/7*p**4 - 2\/7 + 0*p**3 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 29\/(-638) + 1281287\/154. What is the greatest common factor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -243*q**2. Let f(n) = -769*n**2. Determine l(f(t)).\nAnswer: -143700723*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 - 80*a + 1459. Calculate s(52).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1015397493+1.8\nAnswer: -1015397491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2817 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = t - 58, 4*n = -t - 2*t + 84. Suppose -4*z - f + 36 = -5*f, f + 21 = 4*z. Suppose -6 = -z*a + n. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(90)\/sqrt(2))*-5.\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3596284 by 2.\nAnswer: 1798142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 13, 3, 48 in ascending order.\nAnswer: -5, 3, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*t + 4*j - 88 - 62, -14*t + t - 101 = 5*j + 29 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 12*n**2 - 43*n + 5. Calculate r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 217 and 155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.06 + 0.36. Let g = 0.1 + -0.6. What is the second smallest value in g, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 6*i**2 + i - 1. Let l(t) = -5*t + 1. Let o be l(-1). List the prime factors of m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiiiiiiiiiiijiii. Give prob of picking 4 i.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5102 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 49081993 and -0.6613?\nAnswer: 49081993.6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1710 (base 12) to base 4\nAnswer: -222330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of -5*q**8\/336 - 122*q**7\/105 - q**6\/120 - q**4\/8 - 1067*q**3\/6 - 10459*q**2. What is the second derivative of y(k) wrt k?\nAnswer: -100*k**3 - 2928*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - 22.0000606. What is g rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -319 + 309. Let k be (-28)\/(-40) - (-2)\/(-10). What is the fourth biggest value in -4, -2, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -259*c**6 + 231*c**5 + 99057*c**2 + 4.\nAnswer: -31080*c**3 + 13860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/7 + 4*d\/7.\nAnswer: -2*d*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.5 + -3.6. Which is the second biggest value?  (a) f  (b) 1\/5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 223199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, b: 8, h: 5}. Give prob of picking 2 b and 1 x.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -8 + ((-10)\/(-6))\/((-45)\/(-54)). Let f be (-1)\/h - (-21)\/(-18). Let d = -0.7 + -3.3. Sort d, f, -1\/4, 7\/6.\nAnswer: d, f, -1\/4, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - 5*f**2 - 2*f - 5. Let w be b(4). Let d = -1 + w. Let m = d + 51. Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23471 and 7696093.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 257475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 5776255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137 = -5*b + 13. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000729986087 rounded to seven dps?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 33298034 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 13) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -153*l + 2722. What is the lowest common multiple of m(16) and (-5)\/(6\/4 + -2)?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1725 = -255*x + 140*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 16, 2*i + 2*l = -0*l + 18. Let d be (45\/27)\/((-2)\/(-84)). Let b be (d\/(-49))\/(2\/(-7)). Solve j - w = 5, -43 = -b*j - i*w - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10164 take away -0.3?\nAnswer: 0.19836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*x + 0 + 10\/19*x**3 - 8\/19*x**2 - 2\/19*x**4 = 0. What is x?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -74, -68, -48, -8, 58, 156, 292, 472?\n\"Answer: o**3 + o**2 - 4*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**2\/2 - 207*a\/2 - 891 = 0.\nAnswer: -198, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -86\/463491 and -94\/2205.\nAnswer: 2317455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -1\/4, 3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9357, 15852, 22349, 28848, 35349, 41852, 48357?\n\"Answer: f**2 + 6492*f + 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(4*sqrt(300)*-1*-6 + (sqrt(27)*-4 - -1*sqrt(12)\/sqrt(4))))**2.\nAnswer: 3933075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 459421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -690076910 divided by 5.\nAnswer: -138015382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -38599 and 1.8.\nAnswer: -38597.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3*(-363 - -330)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-6 - (-33)\/9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -65213 bigger than -65204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -2\/5868157747 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292*j - 30*j = -188*j + 11700 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (146\/(-3139) - (-778)\/86) + (6 - 16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 311045 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/56 and -37\/3312?\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 3*q - 5. Let u(d) = -3 + d - 1 - 1 + 3. Let m be 3\/((-6)\/11)*-2. Give m*u(y) - 4*n(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -82b9 + 4?\nAnswer: -82b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19.22 - 0.22. Let w = d - 24. What is the third biggest value in 2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-35 + 119) + (6921\/63)\/(24\/14).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 412.597 - 3.\nAnswer: 409.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 460139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-4*2*sqrt(77) - sqrt(77) - sqrt(77)))\/(2*sqrt(88)\/sqrt(8)*-6).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 5*u + 4*m - 1556, u = -2*m + 393. Let q be (-137)\/(-7) - 11\/(u\/10). Let 12\/7 - 72\/7*k + q*k**2 - 75\/7*k**3 = 0. Calculate k.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21448939?\nAnswer: 4327, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 249389095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + (-1 + sqrt(704) - sqrt(704)) + sqrt(132)\/(3*sqrt(36)\/sqrt(3))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 173 + -89. Let m be -42*1 - (0 - -1). Let s = m + x. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5670)\/63)\/(-45)*(-1)\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 138 - 81. Which is smaller: -0.2 or o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17306.\nAnswer: 2, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of 1\/2*h**3 + 0 - 1\/12*h**4 + 4*h - 3\/2*h**2. Let j(f) = -2*f. Let t be j(-2). What is x(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -767629, -767627, -767625, -767623?\nAnswer: -767621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b95b0 + -22?\nAnswer: 2b958a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5689, 30621, 98287, 230053, 447285?\nAnswer: 771349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -844\/55?\nAnswer: -844\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11620, -11621, -11622?\nAnswer: -11623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4845 + 4884. Solve u = -6*k + 27 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4*j = -p + 171, j = -5*p + 268. Suppose p = 5*k + 8. What is the tens digit of (k\/15)\/(1\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*n + 59 = -54*c + 49*c, -n + 3*c + 17 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 333 (base 4) to base 15\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, z: 3, u: 6, f: 4, v: 4}. Give prob of sequence zvp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 134*h**3 - 10*h**2 + 11*h - 16. Determine w(1).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14412 divided by 2402.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 13.587 from 62.263.\nAnswer: 48.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 246599*o + 69. Let f(x) = x. Determine f(n(y)).\nAnswer: 246599*y + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 - 42*j**3 - 84*j**2 + 360*j.\nAnswer: -3*j*(j - 2)*(j + 6)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 7 + 3 - 147*x**2.\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1343 is divided by 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2454, 2449, 2456, 2481, 2530, 2609, 2724, 2881?\nAnswer: 3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(-3*o**3 + 4*o**3 + 0*o + 4*o).\nAnswer: -2*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j**5 - j**3 - 811*j**2 + 1811*j - 4 wrt j.\nAnswer: -20*j**3 - 6*j - 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12023 to three dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.01 + -0.59. Let f = t - -0.63. Let p = -0.02991 + f. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 798 divide 1161515334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 987 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 438 and 20805438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 380450288549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 6486067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 288547\/4 + -70231. Let p = -1899 + l. Find g such that -63\/2*g - 147\/4*g**2 - p = 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 2*q**2 + q + 4. Calculate c(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -f**5\/60 - 17*f**4\/24 + f**3\/2 + 3*f**2. List the prime factors of h(-14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1896242 and 7856.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 6, 0 = -h - 4*t + 17 - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*u - 770 + 102 - 44 - 56*u + 21*u.\nAnswer: -2*u - 712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 117 + -137. Let t = 20 - f. What is the greatest common divisor of t and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 31*h + 27. Let k be o(-5). Which is the nearest to 0.2?  (a) -1\/4  (b) k  (c) -2  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**2 - 7*x - 6. Let b be (-272)\/(-102)*(-6)\/4. Give m(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 14 = -2*n, -2*w + 2*n + 19 = -n. Suppose 4*j + a - 152 = -19, -j - w*a + 42 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/11060 and -41.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*r**3 - 338*r**3 + 167*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 6*m**2 + 7*m + 9. Let w be f(-4). Let p = w + -11. Suppose 99 = p*j - 17. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 327*m + 4 - 2 - 468*m.\nAnswer: -141*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124399 is divided by 163.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, -143.4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12468049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331)*-2*-6 + 2 + sqrt(1331) + 0 + 4)**2.\nAnswer: 1716*sqrt(11) + 224975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 283353146.\nAnswer: -2\/141676573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5000) + sqrt(5000)*-2)*6 + sqrt(5000) + -6*-1*sqrt(5000))\/(((-2*sqrt(6000) - sqrt(6000)) + sqrt(60) + sqrt(60))\/(sqrt(24)*-1)).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24320954 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 288*y - 865. Let o be q(3). What is the nearest to o in 4, -2, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 2*s + 8 = -6*s, 0 = 4*a + 2*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7080740417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1285355*a**3 + 5*a - 166191 wrt a?\nAnswer: 7712130*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 10*f - 602199 = 809011. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -2*y - 25. Suppose y*t + 392 - 1512 = 0. Suppose -3*c + t = c. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 divided by -59?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -603 divided by -201\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from wqwqwwvevqe.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 + (1 - 4)\/(-1). Suppose o*y - y + 19 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -464 + 729. What are the prime factors of r?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -4*j - 1. Let p be f(-1). Sort -1, 14, p, 1 in ascending order.\nAnswer: -1, 1, p, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 7 = -2705*s + 2710*s, -4*s + 4*j = 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26.5 + -26. Let r = t - 0.5. Let p(n) = n**3 + 4*n**2 + n - 4. Let h be p(-3). What is the second smallest value in h, r, -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-60)\/(-9) + 3\/9. Let v(h) = 2*h**3 - 5*h**2 + 9. Let c(j) = -3*j**3 + 7*j**2 - 13. Let b = 3 + 2. What is b*c(u) + s*v(u)?\nAnswer: -u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32 - 56) + -3 - -42?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54.6 - 19.4. Let f = 77 + p. Let i be (-10)\/12*(-2)\/10. Put i, -0.1, f in descending order.\nAnswer: f, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 - 76 = -7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20566556*o**2 + 20566516*o**2 - 41133067*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 AM and 5:50 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/8 - ((-6)\/(-3))\/8. Let k be (-75)\/35 + g\/(-14). Let y be (-1)\/(1\/8)*k\/2. Solve 5*s - y = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 5:19 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 6864 = 8*n. Calculate the highest common factor of n and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -289 - -405. Let w = 471287 - 471171.00117. Let b = w - o. What is b rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*g*q*y**2 + 177*g*q*y - 417*g*q + 2*g*y**2 - 2*g - 2*q wrt y?\nAnswer: 6*g*q*y + 177*g*q + 4*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 160.86 + -159. Round l to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-139919)\/(-1145) + 2\/(-10) + -1. Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2 = -2*j, 3*m = -0*j - j - 1. Let w be (j\/(-2))\/((-20)\/16). Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12606407993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9150 is divided by 436.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 - -14. Let h(b) = 2*b + 7. Give h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 4:21 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5488 is divided by 458?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - -1*(-3 - -1). Suppose u = 4*z, -4*g + 2 = z - 38. Let f = g - 8. Solve 0 = -f*p + 5*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/50 + (-888)\/(-990) + (-2)\/6\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**4\/p)\/p*p*p**1)**(1\/49)*(p**(2\/7)*p*p)**(-14\/3)\/(p*p**(-1))**(-7) assuming p is positive.\nAnswer: p**(-1556\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.05554 millilitres to litres.\nAnswer: 0.07805554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (581\/332)\/((-35)\/(-2))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-18)*(-6)\/(-4). Determine x so that -4*x - 2 + x**2 + 3 + f + x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-950)\/(-76)*(-204)\/85.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 + 484 = 16*t. Solve -2*k + 5*j - 3 = -t, -4*j = 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1983206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that t**2\/7 - 66524*t\/7 - 66525\/7 = 0.\nAnswer: -1, 66525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 53.3703ml?\nAnswer: 0.0533703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2911*k = -2920*k + 45. Let i(y) = -7*y - 26. Let w(p) = 11*p + 39. Calculate k*w(r) + 8*i(r).\nAnswer: -r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-5*sqrt(13)*2*-2)**2.\nAnswer: 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 4*f + 39 = 5*q, -2*f = -3*q + 21. Suppose q*u + 84 = -5*u. Let v(n) = 4*n**2 - 2*n**2 - 6*n + 2*n**2. Let y(x) = -x**2 + x. Give u*y(l) - v(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 3:42 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 1 - 2 - 1. Suppose -15 = 4*m + m. Let p be (-1)\/(m - (-28)\/10). What is k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1449117 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 18*t**2 + 5*t - 1. Let c be z(18). Suppose c = -2*h + 253. Suppose -w + h - 8 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4787204 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 305 + 150606?\nAnswer: 151214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or -9\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*m + 22*m + 80 - 81 + 104*m.\nAnswer: 158*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 568 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5405, -10774, -16143?\nAnswer: -21512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7376, -7440, -7556, -7736, -7992, -8336, -8780, -9336?\n\"Answer: -2*x**3 - 14*x**2 - 8*x - 7352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 4, 3, 14, 243 in increasing order.\nAnswer: -5, -2, 3, 4, 14, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 59 + 11. Let b = x + 146. Suppose 4*o - 15 - b = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1468100 rounded to the nearest ten thousand?\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, 6, 5, 538 in descending order.\nAnswer: 538, 46, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -101, -439, -777, -1115?\n\"Answer: -338*u + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 303 - -1b34b?\nAnswer: 1b652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 405600000 to the nearest 1000000.\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 695 times -227?\nAnswer: -157765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6509 - 25*a**2 - 6509.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/(-20) + (299312\/(-35280) - -10) and -55\/882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5 = 1. Let l be (-1 - c)\/(-3) - -5. Let s be 4\/(-6) + 1080004\/l. Round s to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1)\/(-1))\/(13\/324259) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -3*a - 28. Let j be t(-12). Suppose -7*d + j = -6. What is the first derivative of 23 - 48*x**3 + 48*x**3 + d*x**4 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 0.1, 2, 148832, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 0 - 2*s + 2 + 6 + 21*s**2 to y + o*s**2 + c*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 529 divide 10980453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3\/169?\nAnswer: -3\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -x**4\/4 - 2*x**3\/3 + 3*x - 15. Let m be g(-2). Which is the third biggest value?  (a) -2.8  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 935 and 2074.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/3339 and 76\/333?\nAnswer: 123543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.001 + 12.699. Let x = d - 13. What is the second biggest value in x, 2, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/((c*c**(4\/27)*c*c)\/c)*c**(-24) assuming c is positive.\nAnswer: c**(-679\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11.0000076 + -11. What is t rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 641 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z - 22 = 0. Suppose -2*v + z + 240 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of w**6\/180 + w**5\/30 - w**3\/6 - 8*w. Let p(l) be the second derivative of g(l). Determine y so that p(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -18*4\/(-4) + 1. Suppose 5*y = 44 - s. Solve -2*x - y*l + 7 = -x, -x + 2*l = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-1\/27)*u)\/u*u*u**(-1\/9))\/(u**25\/(u**(9\/2)*u*u)) assuming u is positive.\nAnswer: u**(-895\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 AM and 7:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3773549 is divided by 471692?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 4:28 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-67)\/((-21105)\/(-14)))\/((-2)\/12)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u + 23. Let b be z(-10). Suppose -41 + b = 4*d. Let l = d + 10. Put l, -6, -4 in decreasing order.\nAnswer: l, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 15*z - 68*z + 139*z in the form q + k*z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 0*u + 0*u**2 + 4\/15*u**3 + 3 + 1\/10*u**4. Factor r(k).\nAnswer: 2*k**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 45*a**2 + 60*a - 665. Give o(44).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v**2. Suppose 0 = 3*m - 109 - 599. Let c be 7 - (-25 + 15 - (1 + -14)). Let h(b) = -c*b - m + 236. Calculate h(j(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 7*m + 2*m + 9, -5*m + 13 = -z. Solve -i + 6 - z = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 43, -0.28, -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -776*y - 872 = -780*y. Suppose 0*n - 4 = -n. Suppose y = 2*r - 4*t, -r - 342 = -n*r + t. What are the prime factors of r?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -65*h**2 - 11*h. Let m(g) = -32*g**2 - 6*g. Calculate -6*b(l) + 11*m(l).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1849 - -3609. Calculate the smallest common multiple of r and 64.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30*4*(-2)\/4. Let i be q\/35 - 4\/14. What is the common denominator of -46\/11 and i + 0 - (-91)\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.339 - 0.339. What is the fourth smallest value in z, -1, 4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-1 + 4 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 + (2 - 2))*-1. Let q be 2\/((12\/(-4))\/b). Let x(m) = 4*m**2 - 1. Is x(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q*q**(-5)\/q*q)*q**(-4)*q*(q*q**(-5\/4)*q)\/q*q**8 assuming q is positive.\nAnswer: q**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of z**4\/38 + 2*z**3\/57 - 4*z**2\/19 - 8*z\/19 + 269. Factor f(r).\nAnswer: 2*(r - 2)*(r + 1)*(r + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7534650 by 502310.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -284*j**2*t**2 - j**2 - 234*t**2 wrt j?\nAnswer: -568*j*t**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80427?\nAnswer: 3, 17, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 16*h**3 - 20*h**2 + 52*h - 28. Let t(b) = 5*b**3 - 7*b**2 + 17*b - 9. Let m(s) = -6*f(s) + 20*t(s). Determine a, given that m(a) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225382793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 26424 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: Two letters picked without replacement from ltttll. What is prob of sequence tl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38.98516 litres to millilitres.\nAnswer: 38985.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -0.5, -4\/59, -4, -1062 in decreasing order.\nAnswer: 1\/3, -4\/59, -0.5, -4, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1769 - -1768.7. Suppose -4*a + 2*d = 4, 2 + 0 = -2*a + 5*d. Suppose 3*j = 4*k + 5*j + 12, 9 = -5*k - 4*j. What is the nearest to 0.1 in a, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*m**4*n + 801943*m**2*n**3 - m*n**2 - 6*m*n - 19*n**3 + 6*n**2 wrt m.\nAnswer: -36*m**2*n + 1603886*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 30\/17?  (a) 1\/7  (b) -3\/5  (c) -4\/9  (d) -2  (e) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 360\/(-770) + (26\/22 - 1). Which is the closest to 0?  (a) 3\/7  (b) 1  (c) 6  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 0 + 14. Let k = -8 + m. Let q = k + 2. What is the greatest common factor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j**3 + 2*j**2 + 6*j + 5. Let f(v) = 3*v**3 + 3*v**2 + 7*v + 6. Determine 5*f(d) - 6*o(d).\nAnswer: -3*d**3 + 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2150 + 5964*j + 5977*j - 11953*j + 2150.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z + 70. Let n be l(0). Let f(o) = o**2 + 3*o + 4. Let r be f(9). Let a = r - n. Calculate the remainder when a is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -20\/1027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 3:59 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38387.07 times -0.02?\nAnswer: -767.7414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5455 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 740688 + -475?\nAnswer: 740213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*m + 127, 0*m = 3*m + 2*i - 94. Suppose -38 = p + m. What is the remainder when 5\/(2*(-3)\/p) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 4*y**2 + 35*y + 51. Let d be s(-8). Solve 14*a - d*a = 39 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4072 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 57. Let w be (-4)\/(-10) - (-32)\/k. Suppose -5*x - 5*b - 10 = 0, 0 = 3*x - 2*b + 3 + 3. Which is bigger: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ji when two letters picked without replacement from iiyyyytiyiyyijiyii?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137 - r**3 + 4*r**3 - 137.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2101202 - 344101?\nAnswer: -3000303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 139.7 + -132.7. Let h = 1 - 5. Which is the fourth biggest value?  (a) 4  (b) h  (c) w  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -36 + (3 + 17 - -7) + -26 - -7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1429, 5683, 12753, 22639, 35341, 50859, 69193?\nAnswer: 90343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 213*l + 2616 + 153 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 399 and 10002417?\nAnswer: 70016919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/235  (b) 2  (c) -13  (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/29645676 and -41\/4025956.\nAnswer: 326102436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -852731, -1705472, -2558219, -3410972, -4263731, -5116496, -5969267?\nAnswer: -6822044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - (1 + 0 + -1). Suppose 3*p + 907 = -818. Let w be (-3)\/(-4) + p\/(-92). Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, 4, -4, 2, 265?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -8*z - 48*z + 6*z - 15 - z**3 - 4*z**2 + 15*z**2 + 9*z**2. Let f be i(17). Let o(b) = -3*b - 2. Let j(c) = 7*c + 4. Give f*j(k) + 5*o(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {h: 1, e: 3, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -25, 4*p - 3*p = -z + 7. What is the second derivative of -3 + z + 3*m + 1 + 2*m**4 wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 0  (c) 7  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*t + 3*q, 2 = 4*t + 3*q + 1. What is the common denominator of 29\/8 and 120\/44*(t + 0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*p - 3*u + 16, -4*p + 3*u = 19. Let f be (4\/3)\/(p\/(-6)). Suppose -3*x + 16 = -f*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m + 0*m**2 - m**3 + 0*m**2 + 7 - 5*m**2. Let c = 6 - 11. What is the units digit of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10404 divided by -102.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/5 and 33\/4054018.\nAnswer: 20270090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + g + 6099 = 4*h, 0 = -h + g + 1524. Suppose 25 = 5*x, 2*f = -19*x + 24*x + h. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*p - 5. Let c(i) = -i**2 + 6*i + p*i**2 - 4 - 2*i - i**3. Calculate c(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 150 = 4*f + 6, u + 3*f = 20. Calculate the remainder when 159 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 55650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -14 - -12) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 38, 80, 122, 164, 206, 248?\n\"Answer: 42*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 40324 and 0.17.\nAnswer: 6855.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 148523?\nAnswer: 148523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by -400.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9, w: 2, q: 2, u: 2, j: 5}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 3. Let j be x(0). Suppose 136 - 476 = -2*v. Suppose 2*m - j*c = v, 332 = 4*m - 0*c - 4*c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -76788, -76784, -76780, -76776, -76772?\n\"Answer: 4*p - 76792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1.2123 minutes?\nAnswer: 0.020205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9196847 and 4?\nAnswer: 36787388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -6*v**2 + 3*v - 10*v + 1 + 6. Let i(n) be the first derivative of -n**3\/3 - n**2\/2 + n + 3. Give 2*b(a) - 14*i(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 561520?\nAnswer: 2, 5, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + -4)*(10 + -1). Let q = f + -4. Let y = -7 + 3. Sort q, -3, y.\nAnswer: y, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3615220 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 20, 4*l + 2*f = -6 + 46. Let q be (l\/(-6))\/((-2)\/6). Sort -3, -4, q in ascending order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*f**2*k*z**2 - 2*f**2*k + 119*f**2*z**3 + 807*f*z**2 + 943490*k*z**3 - 2*k*z + 141 wrt z?\nAnswer: 714*f**2 + 5660940*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-10))\/(14\/385*-11). Let j = -7\/11 + 93\/77. Let i = -3.5 + -0.5. What is the closest to 2 in b, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(50)\/(-3*sqrt(1210)) + 1 + 5.\nAnswer: -sqrt(5)\/33 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/((-12 + 3)\/(7\/98))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + -3 + -21)\/(-1). Let z be 8\/(-10)*(-120)\/16. Suppose -5*w = 3*y - 36, -5*y + m = -z*w + 2*w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*p - 131 = 4*h, 2*h + 139 = 3*p. Suppose -r + 0*r = -3*s - p, 5*r = -2*s + 194. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5532705?\nAnswer: 3, 5, 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**2\/17 + 255158*t\/17 = 0 for t.\nAnswer: -127579, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -6 - 1) + 164 + -167.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/4)*((s\/(s**(-2\/3)*s))\/s)\/s)\/(s**(2\/5))**28 assuming s is positive.\nAnswer: s**(-797\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n + 5*n - 4*n)*(73*n**2 + 0 + 0 - 113*n**2) to the form w*n + k*n**2 + b*n**3 + f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 4387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(24)\/sqrt(48)) + -3 + sqrt(7) + (sqrt(7) + -1 - sqrt(7)) + 1.\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, v: 1, p: 1, g: 3, z: 1, r: 1}. What is prob of picking 1 z and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - 31?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (68\/51)\/(1\/3). Suppose n*p = 18*p - 434. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4623 and 0.3.\nAnswer: -1386.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1544850 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h = 23 - 3. Suppose h*i - 31 - 7 = 0. What is the greatest common factor of 133 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 u when three letters picked without replacement from uxuxq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -7367, -2\/9, 2\/7, -3, 2\/5, -4 in decreasing order.\nAnswer: 2\/5, 2\/7, -2\/9, -3, -4, -7367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/11, -2818, 350 in descending order.\nAnswer: 350, 6\/11, -2818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 2*z**3\/3 - 5*z**2\/2 + 3*z - 252. Let b = 6 - 3. Determine l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2320, -3836, -6364, -9910, -14480, -20080?\n\"Answer: -h**3 - 500*h**2 - 9*h - 1810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33917 - 16492. Is l a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4032)\/(-96)*(-1)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1073 in 0.5, 4, 0.11, 2.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u + 2*u - 12*u - 5*u + 27*u - 2. Let w(y) = -53*y**2. Calculate w(s(g)).\nAnswer: -6413*g**2 + 2332*g - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3024120 divided by 88?\nAnswer: -34365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2102, 4201, 6312, 8441, 10594, 12777, 14996?\nAnswer: 17257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rmmhmmmmhmnhv. What is prob of picking 3 m and 1 h?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 140716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14457, 198, -3 in increasing order.\nAnswer: -3, 198, 14457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by -12?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j + 12. Let a be w(-14). Let m be 101\/(-9) + (-8)\/(-36). What is the units digit of (-2 - -1)*(m + a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -470  (b) 0.07  (c) -779  (d) 0.1  (e) 4  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-10)*(-3570)\/(-204).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2062388)\/(-42))\/(2\/6). Let x = 147028 - i. Let l = x + 286. Which is the nearest to 1?  (a) l  (b) 2\/5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 271 and 271 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 10*j**2 + 2*j + 1. Let s = -5 - -4. Suppose 3 = -5*m - 17, 0 = -4*r + 5*m + 32. What is the remainder when x(s) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7886608 and 5060?\nAnswer: 433763440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 7:01 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3700*a**4 + a - 518.\nAnswer: -44400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 17 = 5*o, -5*o + 7*j - 11*j = 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162\/25 - 14381\/2200. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**2 - 135*t - 2067. What is n(57)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + -1)\/(-16)*-6. Let b be (-140)\/(-46) + -4 + 1. Let q = 34\/253 - b. What is the third smallest value in 2\/5, q, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 122396 and 1184?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x + 19*x - 5*r - 36 = 0, r + 24 = -8*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0, -9.2, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffffllnyyfnffffffo. Give prob of picking 2 l, 1 o, and 1 n.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43.422 + 0.478. Let n = u + -41. Let h = n + -2.90045. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 633629168 to the power of 1\/2, to the nearest integer?\nAnswer: 25172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 15 = 15. Let v be (-8)\/y + (-10)\/25. Which is the second smallest value?  (a) -2  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.214049  (b) -0.2  (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -744894 by -174.\nAnswer: 4281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 510 and 3740?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 - 28. Let o be ((-14)\/20)\/(28\/(-50)). What is the second biggest value in 3\/5, o, v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2\/9, -4, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 20, 5*a + 4*c - 3*c = 1. Let j(r) = -668*r**2 + r**3 + 664*r**2 - 8 + 0*r**3 + a - 3*r. Give j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1941 - 1175. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {b: 7, u: 3, o: 2, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86705.\nAnswer: 5, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1701)*-2)\/sqrt(3))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 14272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4004?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 13*q**2 - 9*q + 9. Let z be s(14). Suppose -z = 4*h - 395. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**3 - 54*s**2 + 9*s - 159. Let y be n(27). Suppose 6*x = 2*x + 128. Let q = x + -11. What is the greatest common factor of q and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*w = 44*w. Suppose 15 = 2*x + 5*i, -x - i = -w - 3. Which is the closest to -1?  (a) x  (b) 0.2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 9*i**2\/2 - 3*i - 2. Let x(t) = -2*t - 1. Let o(p) = -p. Let f(a) = -6*o(a) + x(a). Determine -7*f(c) + 3*w(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -580038039, -1160076077, -1740114115, -2320152153?\nAnswer: -2900190191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**3*i**2 - 26*b**3*i - 14883*b**3 + 289976*b**2*i**2 - 10*b*i**2 wrt b?\nAnswer: -12*i**2 - 156*i - 89298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0759 - -0.076101. What is c rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 22 = 64. Let z be ((-22)\/3)\/((-14)\/w). Suppose -n + 10 = 3*o, 5*o - n = z + 3. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 5*x**4 + 5*x**3 - 655*x**2 - 3045*x - 3510 = 0.\nAnswer: -9, -3, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 6. Let t be r\/3*33\/22. Suppose -t*s + 295 = 3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -1 - (-37 - (-40 - 0)) - -8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 4*l**2 + 7*l + 8. Determine y(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1270, 5121, 11534, 20497, 31998, 46025, 62566, 81609?\nAnswer: 103142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 19924, -1469 in decreasing order.\nAnswer: 19924, -2, -1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 1:38 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37621\/60 + -627. Let q(z) be the third derivative of 0*z + 0 - 2*z**2 + i*z**5 + 1\/360*z**6 + 0*z**3 - 1\/72*z**4 - 1\/210*z**7. Factor q(x).\nAnswer: -x*(x - 1)*(x + 1)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17.83 - -0.17. Let a = 18.0053 - n. Round a to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21200 (base 4) to base 10.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 19.9431.\nAnswer: 19.9431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2911*k + 3453 wrt k?\nAnswer: 2911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 240840526 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 11*h + 15*h + 4 = 0, w = 2*h - 3. Suppose 18 = 2*l - 0*l - 4*z, 2*l - 18 = 5*z. Let x be 16\/24*l\/2. Solve -x = 4*i + w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 4:19 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -192596.3 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 11:30 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 + 4*h + 4. Let y be k(-4). Solve -d = -2*d - y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -772121 divided by -5.\nAnswer: 772121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 154018*r + 54522369. What is l(-354)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*x - 35. What is the least common multiple of 9*(x + 364\/(-63)) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - 1\/2*2. Let u(s) be the second derivative of -5*s**3\/3 - s**2 - 15*s - 2. What is the tens digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d + 12. Let t(w) = -2*w + 13. What is -4*a(n) + 3*t(n)?\nAnswer: 2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*s + 2*q, -4*s + q = 1 + 20. Let g(m) = m**3 + m**2 - 2. Let v be g(-2). Let k be (-4)\/(-6) - s\/v. Solve k = d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g - 24*g - 3*g + (4 - 3 + 1)*(0*g + 3*g - 4*g).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 17, -0.3, 3, -43\/2.\nAnswer: -43\/2, -1, -0.3, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20049, 79708, 179139, 318342?\nAnswer: 497317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-156)\/1053*(-6)\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x. Let o(i) be the third derivative of 0*i**3 + 2*i**2 + 0*i - 7\/8*i**4 - 5. Give w(o(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6480 and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37815 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-59)\/4720*176*(-11)\/((-352)\/(-20))\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 6*o - 15 = 0. Suppose o*n = 6*n - 123. What is the remainder when n is divided by (14\/(-4))\/((-1)\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -168 (base 10) in base 15?\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46 and 170.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3*l - 8. Let o be 1\/(-1) + 0\/1. Let b be o - 2\/(2\/(-1)). Solve b*j = j - l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is dadd8 (base 14) in base 13?\nAnswer: 157085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -132*o - 22. Let f(w) = 53*w + 9. Give -12*f(r) - 5*j(r).\nAnswer: 24*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*-4 - 8\/(48\/(-42)). Suppose 0 = 3*x + c - 16, -t*c - 24 = -3*x - 0. Let o(f) = 163 - 326 + 163 + x*f. Let u(w) = -2*w**2. Determine u(o(k)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/17?  (a) 2  (b) 4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 - 3)*(-2 - 1). Which is the closest to 2?  (a) q  (b) -2\/7  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) - (1 + sqrt(2736) - sqrt(2736)) - sqrt(19) - sqrt(19) - ((-4*(sqrt(19) + 2) - sqrt(19)) + sqrt(19)))**2.\nAnswer: 196*sqrt(19) + 3773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 6756.51 kilograms?\nAnswer: 6.75651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1844 divided by 4\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*c = 0, g + 5*c = -0*g. Suppose 2*z - 52 + 2 = g. Suppose -z = -0*f + 5*f. Is f at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15323531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 15*g - 339. Let k be m(23). Solve -20 + k = -14*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = 9*k - q, -3397*k + 5*q - 45 = -3398*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2114, 830, -1310, -4306, -8158?\n\"Answer: -428*p**2 + 2542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 703852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 12\/403, 683, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -10*4\/(-32)*16. Let k = t + -12. What is the derivative of k - 4*b - 4*b - 1 wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -506 - -955. Let f = 447.09 - s. What is f rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.82 - -17.82. Which is the nearest to -0.1?  (a) 1  (b) v  (c) -809  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.8 - -13. Let m = v - 0.2. Which is the second biggest value?  (a) -10  (b) -2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39 - -8951. Let b = 61105\/7 - p. Let y = b + 183. Is -2\/11 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-91239)\/(-2465) + (-21)\/1 - 9\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -64.518417 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -3\/7, 3\/11, -1\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 0 + -3 + 2 + -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/10)\/(90\/(-400)*4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 664 is divided by 660.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 50. Let d be b\/(-75) - 3\/(-15). What is the biggest value in -4, 19, d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1344 and 24262.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - sqrt(98)*-2)**2 + 4.\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8*(-21)\/(-140)*(-5)\/(-2). Let g(m) = 23*m + 73. Let c be g(x). Solve -c*r + u = -3*r - 3, 5*u + 21 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-4)*r*r*r*r)*r)\/((r**(4\/3)\/r)\/r)*r*r**(1\/2)*r*(r\/r**(3\/5))\/r assuming r is positive.\nAnswer: r**(137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/463 + 6035\/3704. Let o be 0 + 1 - (-1 - (-11168)\/5560). Let d = -20239\/9730 - o. Calculate the common denominator of b and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 0*g - 7*g**2 - 6*g**3 + 3*g**3 + 2*g**3 + 5*g + 1. Let n(l) = l**2 - 8*l + 8. Let i be n(4). Does 14 divide k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 42\/5 of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27806594, -55613193, -83419792, -111226391?\nAnswer: -139032990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 13*c**2 - 21*c + 3. Suppose 0 = 130*t + 1210 + 220. Determine x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-4))\/j*j)\/(j\/(j**(1\/18)\/j)*j)*j**(1\/11)\/(j*j**15*j*j))**(-44) assuming j is positive.\nAnswer: j**(9446\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -19*z + 23. Let u = 7977 + -7972. Give p(u).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.162 + -0.662. Which is the closest to -3?  (a) -3  (b) -3\/67  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4611 or 262852\/57?\nAnswer: 262852\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 - -97. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 + -32. Let u(c) = c**2 - 7*c + 6. Give u(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m - 8. Let b be f(7). Let u = -3 + b. Suppose -7*i = -u*i - 16. Solve 12 = -i*j - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*g**3*l**3*m**3 + 24*g**3*l**3*m**2 - 2*g**2*l**2*m**3 + g*l**3*m + 390*g*l**2*m**3 wrt g?\nAnswer: 138*l**3*m**3 + 144*l**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 75853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 954239078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/48691069 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -607075043, -607075042, -607075041, -607075040, -607075039, -607075038?\n\"Answer: k - 607075044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 308\/300 + 3 - 4. Let m = -0.4 - -1.4. Which is the nearest to 1?  (a) o  (b) m  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*f + 2 - 2)*(2 + 1 - 2) - 3*f + f + 0*f)*(29 - 77 + 33).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 379*c**3 - 6*c - 232. Let a(r) = 388*r**3 - 5*r - 232. Let s(u) = -6*a(u) + 5*f(u). What is the derivative of s(h) wrt h?\nAnswer: -1299*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/60533 and -16\/38521.\nAnswer: 423731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 9*u - 2*t + 73, -u = -3*t - 1. Suppose 4*l - u + 1 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-18)*((-45)\/(-20) - 3). What is the third smallest value in j, 3, 0.5, -1\/2, 547?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2983.28 rounded to the nearest ten?\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 129.5 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1, 1\/3, 1\/4, -103?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/113861934 and -1\/60?\nAnswer: 1138619340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3556600 rounded to the nearest 10000?\nAnswer: 3560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 2313?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 6232639 divided by -7\nAnswer: -890377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 7:49 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3086*j + 239*j**2 - 3086*j)*(0*j**3 + 2*j**3 - j**3).\nAnswer: 239*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 86*a**5 - a + 6*a - 4*a + 4*a + 2 - 7 - 3*a**2 wrt a?\nAnswer: 1720*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 29*t + 115. Determine s(-21).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 55009, 55007, 55005, 55003, 55001?\n\"Answer: -2*m + 55011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2 + 0*r**3 - 3*r + r**3 - 3*r**3 - 4*r**2. Let n be j(-2). Suppose n*m - 4 = 2*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (9\/(-6) - -1)\/(30\/(-900)). Is t less than 2\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 156375911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -17*i**2 + 4*i**2 + 5*i**2 + i**2 + 9*i**2. Let x(c) = -3*c + 56. What is x(h(j))?\nAnswer: -6*j**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -0.4  (c) -2\/345\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n. Let r(w) = -161439*w. Calculate b(r(o)).\nAnswer: -161439*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*k + 88*k = 36. Suppose 3*v + 3*w - k = 0, 38 - 13 = -5*w. Solve 4*u + j - 1 = v, -3*u + 9 = -j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 7*i**2 - 9*i - 15. List the prime factors of v(10).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -439 - -445. Which is the smallest value?  (a) 0.5  (b) y  (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = p + 3*h, 4*p + 5*h + 35 = 0. Sort -1, p, -5 in ascending order.\nAnswer: p, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + 3)\/8 + (-15)\/(-2). Let u be (-2)\/t - (-1)\/4. Which is smaller: u or -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(3*618\/27). Let m = 263\/1957 - k. Which is the closest to 1?  (a) 1\/7  (b) 4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -31) + 44 + 42 + -94?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 4 - 3. Let i be (4\/28)\/((-6)\/w). Let k be (45\/(-975))\/(3\/(-5)). Which is the smallest value?  (a) k  (b) -4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/72 - (-400275)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3080)\/(-30) + 40\/(-24). Calculate the highest common divisor of m and 6363.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 551 and 522?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1111, -1419, -1933, -2653, -3579, -4711?\n\"Answer: -103*p**2 + p - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 53 = -5*k, -s + 6*s + 3*k = 199. Let l = 40 - s. Suppose -3*v = l*p + 5, -2*p + 5*v = p - 21. Solve 0 = p*g - 0*o - 3*o + 14, -5*g + o = 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 20095861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -2\/3, -318471, 3\/5, 1 in descending order.\nAnswer: 1, 3\/5, -0.5, -2\/3, -318471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - -2. Let l be ((-1)\/(-5))\/(1\/g). What is the third derivative of 3*n**l + 3*n**2 + n**4 + 2*n**2 - 3*n**3 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + 3*f + 8. Let h(n) = n + 1. Let i(c) = 4*h(c) - u(c). Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 16. Let n = 1.3 - 0.9. What is the smallest value in z, n, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 282\/(-9)*(-690)\/291640 and (-1)\/(-6)*(1 + 147).\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + 2*l**3 + (3 + 2 - 4)*(l**3 - l**3 + l**3) + (3*l**2 - l**2 - 3*l**2)*(-2*l - l + 2*l) in the form z*l**3 + p + w*l**2 + m*l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/3451610 and 16\/5.\nAnswer: 3451610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (119 - 2) + 10466 + -10506?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and (-2 + 5)*(4 + (-13)\/(-3)).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 11:35 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.04, -0.2, 0.3, 7\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/8  (b) -0.05  (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3458951148 divided by 6.\nAnswer: 576491858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87164219 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 84545062*i**3 + 24701325.\nAnswer: 253635186*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 9*k**3 - 6*k + 6. Let a(m) = 17*m**3 + 2*m**2 - 13*m + 13. Let b = 227 + -233. Let r(w) = b*a(w) + 13*t(w). Determine s so that r(s) = 0.\nAnswer: 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 3*g + 59716, 2*t - 238842 = -2*t + g. Round t to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of 2*s - 1\/6*s**3 + 0 + 7\/2*s**2. Determine r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/8*((-66)\/20 - 44*(-13)\/(-2860)).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**2 - 6*l**2 + 3*l**2)*((-3*l - 3*l + 4*l)*(-l + 2*l - 2*l) + (l + 13*l + 4*l)*(4*l - 5*l - l)).\nAnswer: 34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11618443 and 2071.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u - 2*j + 16732 = -21*u, 2*j = 3*u - 12535. What are the prime factors of u?\nAnswer: 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1565 plus -3276.8?\nAnswer: -4841.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 35 in 2, -2\/7, -8, -90?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 76\/5 of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 7*o**2 + 4*o + 7. What is r(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 3*k + k)*(-16855 + 5588 + 5026).\nAnswer: -12482*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132 + -124?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 26836, -5 in descending order.\nAnswer: 26836, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/30 and -23\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1217 * 316.\nAnswer: -38.4572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**3 + h + 1. Let v(s) = -11*s**3 + 50*s**2 - 4*s - 4. Calculate -4*f(k) - v(k).\nAnswer: 3*k**3 - 50*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) + sqrt(180) + -2*sqrt(180))\/sqrt(4) + sqrt(45))\/(sqrt(9) - (sqrt(9) - (4*(sqrt(36)\/sqrt(4) - sqrt(9)) + sqrt(9)))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 62.446554 microseconds?\nAnswer: 0.000000017346265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -h**3\/3 - h**2\/2 - h - 1. Suppose -60*r = -58*r - 2. Let d(i) = 5*i**2 + 4*i + 4. Give r*d(w) + 4*x(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70 - (-27 + -22 + -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 406297409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 6, -n = j - 38 + 6. Suppose 2 = 3*v + 4*d, -5*d + 1 = 6. Suppose n = 5*s - v*a - 0*a, 4*s + a - 15 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.12306959 rounded to two dps?\nAnswer: -4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.9 + 1. Let r = -120.92 - -120.62. What is the nearest to t in r, 4, -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4a67b9 + 2?\nAnswer: -4a67b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -27. Let o = 21 + w. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + 727446?\nAnswer: 727450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83891578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*v = -7, 12*f - 3*v - 5 = 7*f. Solve -5*w - 66 = -5*o - 26, -f = w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -19*k + 1279. Let i be u(70). Are i and 0.46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 880936 - 899110 = -233*l for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does -36806 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 132*g**3 + 6344*g**2 - 12816*g - 800.\nAnswer: 4*(g - 2)*(g + 50)*(33*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4119940537?\nAnswer: 3739, 1101883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.7 in 0, 1\/5, -11\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 2) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 240286601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**2 - 10*a + 7. Let g = 3 + 3. Let k be 4\/(-12) + 44\/g. What is the remainder when r(k) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 476 and 166124.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1155 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of g**5\/20 + 2*g**4\/3 + 7*g**3\/6 + 3*g**2\/2 + 37*g. What is n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -m - 0*f + 58, -3*f + 234 = 4*m. Suppose -3*a - 57*a + m = 0. What is the fourth biggest value in -6, a, 0.2, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 10:06 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, e: 1, t: 1, u: 2, d: 1}. What is prob of sequence dgt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/((1\/8)\/(((-26)\/(-8))\/13)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 13866?\nAnswer: 152526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-58)\/406*((-3024)\/1504)\/(-27).\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -17. Let g = 12 + x. Let d = g - -5. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10142*v = 10063*v - 4582 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9251863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -5. Suppose -2*x - 3*q - 4 = f*q, 0 = 2*q + 4. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10350509*c**3*o + 42*c**3 + 7362333*c + 14*o + 2 wrt c.\nAnswer: -62103054*c*o + 252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 324 - 226. Let x = m + -97.9. Which is smaller: x or -520?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9696*k**2 + 38803*k**2 - 9678*k**2 - 9667*k**2 - 9759*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**4\/((((i\/(i*i*i\/i**(2\/111)))\/i)\/i)\/i)*(i**(-33)*i)\/i*i*i*i**(-9) assuming i is positive.\nAnswer: i**(-3443\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -943 - 355*j**4 - 1557 + 1966 with respect to j.\nAnswer: -1420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o**4 - 1254*o + 2511*o - 1255*o + 5 in the form d + a*o**3 + v*o + x*o**4 + l*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7574.3 and 2.\nAnswer: -15148.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7 + -7 - (-1349 + -7 + 2) is divided by 151.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 23 - 4?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 15 - 8. Solve -16 = 4*z - 4*n, 5 = -4*z + 2*n - v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2683.8473 or 11?\nAnswer: -2683.8473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u - 2. Let i be y(5). Let p(c) = c**2 - 4. Let w be p(i). Find the second derivative of 3*s + 4*s - w*s + 2*s**2 wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52 and 2509?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((3 - -2) + (-34)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + 11*s + 2. Let r be h(11). Suppose -2 = -2*l - 3*n, 8*l = 3*l - r*n - 17. Which is the third biggest value?  (a) -3  (b) -0.3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/(-18))\/(26\/(-39))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -11. Suppose -6*n = -n. What is b in -2*b**5 + 3*b**a - b**4 + n*b**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 976\/1464*(-4)\/(-40)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 486030817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -552 - -388. Let r = q + 164.0032. What is r rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + -2 - 16\/10. Let m = 27.2 + -10.8. Let s = m - 16.6. What is the nearest to s in d, 1\/2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 269962 and 21791?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 - 7. Let r(y) = 3*y**2 + f*y - 5*y. Let h = 1 + 0. Determine r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2938 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 59 = -0*x. Let t be (x + 9)*6\/(-4). Calculate the greatest common divisor of t and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 4974*f**3 + 5*f**2 - 5. Let y(z) = -42282*z**3 - 42*z**2 + 42. Calculate 42*c(h) + 5*y(h).\nAnswer: -2502*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*x - 12*x. Suppose x = k - 2. Find the second derivative of 2 - k - z**3 - z + 2*z**3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 73 - 16. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 0*a + 1\/8*a**4 + 3 + 3*a**2 + 2\/3*a**3. Let j(l) be the second derivative of s(l). Differentiate j(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(70)*-2*-1)\/(sqrt(70)\/sqrt(7)*3*1).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*o + 5*o**2 + 12*o - 28*o.\nAnswer: 5*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -20*t. Let y(j) = -410*j**2 - 12*j. Determine p(y(v)).\nAnswer: 8200*v**2 + 240*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5*m**3 + 6*m**2 - 2*m. Let j(n) = -21*n**3 + 25*n**2 - 8*n. Suppose -6 = -5*p - 4*t, 13 = 3*p + 5*t - 1. What is p*j(l) + 9*z(l)?\nAnswer: -3*l**3 + 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 2*f - f**2)*(3 + 2*f**2 - 7 - 4 + (-2*f**2 - f**2 + 2*f**2)*(-1 - 2 + 1) + 3 + f**2 - 3).\nAnswer: -5*f**4 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 5*d**2 + 3*d + 35. Let x(k) = -k**3 - 4*k**2 + 2*k + 34. Let m(u) = -3*f(u) + 4*x(u). List the prime factors of m(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 173 + -163. Suppose 5*t - s*t = -20. Let u(d) = -3*d**3 - 2*d - 4. Let q(m) = 3*m**3 + m + 3. What is t*q(p) + 3*u(p)?\nAnswer: 3*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1805 * 0.442.\nAnswer: 797.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65536025 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(1\/29)*t*t\/t**11*t assuming t is positive.\nAnswer: t**(-202\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, x: 11}. What is prob of sequence xxjx?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -20*v**4\/3 - 2*v**3\/3 - 23*v**2\/2 + 2*v - 29. What is the second derivative of c(s) wrt s?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 14*r**2 - 12*r + 13. Let v be d(-13). Suppose 4*n = f - 16, v*n = 3*f + 4*n + 32. Let m = f - -4. Solve 0 = -3*g - m*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of f**3 - 2*f**2 + 3. Find the second derivative of d(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -1590*n**2 + 3*n - 30. Let h be y(10). What is h rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2292616*m*t**2 + 5*m*t + 3*m + 151*t + 1212 wrt t.\nAnswer: -4585232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -6 + (-228 - -208)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2928816 divided by 6\nAnswer: -488136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is ac + 237?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(5\/4)\/v)\/v**16)**23 assuming v is positive.\nAnswer: v**(-1449\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -6*u**2. Let j(k) = 3*k - 122. Calculate j(x(f)).\nAnswer: -18*f**2 - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29594 is divided by 151.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14132836 by -34303.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2021221 + -1100?\nAnswer: 2020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 2*g + 17 = 30 + 9, 0 = -33*a + 2*a - g - 281 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1\/3, -9, 0.02, -0.1305, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 9 = 4*h, -5*h = -7*h - z - 3. Suppose 45 = 5*s - 4*k, 4*k = s - k - 30. Let y(l) = -4*l - 4. Let i(w) = -9*w - 9. What is h*i(a) + s*y(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -p**2\/2 - p + 4. Let v be (-1 + (-1 - 2))\/1. Let f be x(v). Solve 8 = -q - f*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.7506703 days?\nAnswer: 64857913.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2288 (base 9) to base 11\nAnswer: -1306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-30))\/((-60)\/2700)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0387*-23.457.\nAnswer: 0.9077859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**0*(l*l**(1\/3))\/l assuming l is positive.\nAnswer: l**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328 is divided by ((-46)\/(-23) + 36)*(0 - 2*-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -17, 5, -63 in descending order.\nAnswer: 5, 3, -5, -17, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-3) - (3 + -355 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.78*7.9\nAnswer: -14.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*h + 98 = 62 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40284.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 8*b = 4*b - 40, 533*b - 528*b = -5*u - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.1, -4\/7, -1\/89, -135 in ascending order.\nAnswer: -135, -3, -4\/7, -1\/89, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rvn. Give prob of sequence vn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/35)\/((-1)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**2*h**3*v**2 + 4*d**2*h*v**2 - 5*d**2*v**3 - 3*d**2*v**2 + 106*d*h**3*v**3 + h**3*v**3 + 2*h**3*v**2 - 9*h**3*v wrt v?\nAnswer: -30*d**2 + 636*d*h**3 + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + k**2 - k. Suppose -2*m + 4*y = -22, 2*m - 14 = -2*m + 2*y. Let q(u) = -7*u**3 + 5*u**2 - 6*u. Calculate m*q(t) - 5*c(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c + 5*c - 5 = y, c + 2*y = -6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1\/4)*k)**(2\/19)*k\/k**7*k**(1\/4) assuming k is positive.\nAnswer: k**(-419\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 21 = 15. Solve 3*t - m + 0 = -5, d = 3*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 93079774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vggv when four letters picked without replacement from ggvvvgvvvggvvvvvgvv?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/2364 and -67\/1506656.\nAnswer: 4519968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/20 - (-444)\/(-30). Let i = 19 + u. Suppose -5*n - 9450 = -i*b, 3*b - n - 5670 = 4*n. Round b to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 4. Let w = -11 + 2. Let i = w + 6. Is m at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9874 by -4937.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6318.473 litres to millilitres.\nAnswer: 6318473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 12:36 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 13522 (base 7) to base 11\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l**2 - 6*l - 3. Let k(f) = 159*f**2 + 2*f - 6. Let w(a) = 279*a**2 + 5*a - 10. Let c(m) = 7*k(m) - 4*w(m). What is 3*c(q) - 2*p(q)?\nAnswer: -q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/32863311 and -101\/2.\nAnswer: 65726622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 less than -1514495?\nAnswer: -1514446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 14*u**2 - 36*u - 53. What is k(-12)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 2*w**2 + 10*w + 4. Determine i(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1236)\/60 - -20 - (-174)\/15. What is the closest to 0.7 in 0.2, q, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(20)\/((sqrt(30)*3)\/sqrt(3)) - ((0 + sqrt(2))*3 + 2)))**2.\nAnswer: 64*sqrt(2)\/3 + 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4720*a + 4730*a = 1091830. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4*b**2 - 8*b + 6. Let q be i(2). What is the greatest common divisor of q and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(405)*-2*-5 + 3 + -1 + sqrt(405) + sqrt(405) - (1*(sqrt(405) + -3) - (sqrt(405) + 2)*1))*-3)**2.\nAnswer: 13608*sqrt(5) + 525321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 178010723.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 10*d**2 + 10*d - 2. Determine w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 5 + 5 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -7*r**3 - r**2 - 2*r - 2. Suppose 4*h + 17 = -3*i, 2*i - 4 = -0*h + 5*h. Is v(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 9*m**3 - 3*m - 2*m + 16*m**4 + 14*m**2 + 4*m + 6*m**2 - 21*m**2 to the form r*m + i*m**2 + u*m**3 + j*m**4 + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**4\/12 - 6*y**2. Let o(f) = 10*f**2. Give o(r(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-70)\/(-245))\/(4\/49) + -4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 269, 263419 in descending order.\nAnswer: 263419, 269, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -8. Let v be (-3)\/(-9) - (-17)\/t. Solve 0 = -v*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1691*0.32\nAnswer: 541.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2314 - 2574 = -8*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -t**7\/105 - 667*t**6\/120 + t**5\/20 + 10861*t**4\/24 - 7447*t**2. What is the second derivative of n(c) wrt c?\nAnswer: -24*c**2 - 4002*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 307 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7 - -1 - -101) + 11. Calculate the greatest common factor of h and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34511825.\nAnswer: 5, 373, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 13\/2 of a centimeter?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1659110 divided by 42.\nAnswer: 829555\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.8131323s?\nAnswer: 813132300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243)*2 - sqrt(243) - sqrt(243)) + (sqrt(3)*1 - sqrt(3))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.701769 weeks to seconds.\nAnswer: 2238829.8912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 724 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 0.3, 0.29 in decreasing order.\nAnswer: 4, 0.3, 0.29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7022653867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2538.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 727 = -187. Let a(r) = 9*r**2 + 27*r + 54. Let l be a(-3). Calculate the highest common factor of l and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (2 - 4) - (3 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (12 - 6492\/252) + 10 and 0 + 172\/66 + -1?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x - 4*x**4 + 2*x**4 - 3 + 5 + 2*x**3 + 5*x to the form n*x**2 + f*x**3 + u + o*x**4 + b*x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 846014*p**3 + p**2 + 516988 wrt p.\nAnswer: 5076084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4, -42, -162, -392, -768, -1326, -2102, -3132?\n\"Answer: -6*v**3 - v**2 - v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 503 - 503.3. Which is the third smallest value?  (a) z  (b) 6  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4240797230 to the nearest 100000.\nAnswer: -4240800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 3*s - 0*s - 3, 3 = 3*s - 2*k. Suppose -11*c = -6*c. Sort c, s, -5 in decreasing order.\nAnswer: s, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 89, 146, 205?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -467, -4, 2, 3\/2, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3433511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/6 - (-1)\/(-2). Let h = 4 - d. Let s be (-15)\/10*(-16)\/h. Solve 5*k - 6 = s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 10:31 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 4)*((-117)\/12)\/(-13). Factor -1198*d - 58*d**2 - 3*d**f + 3698 + 232*d**2 + d**3 - 2941*d + 269*d.\nAnswer: -2*(d - 43)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*p - 3198 = 25*p - 44*p. Solve -2*g - p = -25 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 9*j - 2. Let h be p(-4). Suppose -3*w + w = -h. Is -1\/5 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s + 1. Let u be a(-1). Suppose -3*p - 3*y = -u*p + 10, 2*y = -4*p. Let h(d) = d**2 - 2. Let m be h(p). Is m bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/16 - 62\/(-8). Suppose -2*n + 24 + k = 0. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5268208 and 1332?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 177624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90 is divided by 96\/3 + 11 + -10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-5)*(192\/18)\/(-8)*12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1.0931 + -3982\nAnswer: -3983.0931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -248.15 - -10.34.\nAnswer: -237.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 186*k**2 + 40*k + 28. Let w(t) = -279*t**2 - 56*t - 42. What is 7*f(d) + 5*w(d)?\nAnswer: -93*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7954 divided by 2?\nAnswer: -3977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.007 * -7623\nAnswer: -53.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*j - 10*j + 0*j)*(3*j - j - 3*j) - 9*j**2 - 3*j**2 + 3*j**2 to the form b*j**2 + p + d*j and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2673 = 47*q + 8595. Let i be (q\/24 - -6)*4. Solve 8*h = i*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.3*10\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - -5) + -24 - -12 - 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10 - 5 - (21 + -3) - (-105 + 13 + -4)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.2627 or 6.8?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 5298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17721072 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2240615791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003021787 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.02 + -3.62. Let h be 12\/42 - (-1)\/21. Let y = 34 - 34.2. Sort h, y, -1, o in decreasing order.\nAnswer: o, h, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gdgggmmgmwgwww. Give prob of sequence gw.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k**2 - 13*k + 45. Let g(z) = 5*z**2 - 16*z + 45. What is 3*g(u) - 4*n(u)?\nAnswer: -5*u**2 + 4*u - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 4043*f - 11819. Determine i(3).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.6 + 10.2. Let c = -4.31 + t. Let f = 0.09 - c. What is the biggest value in 5, 4, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -2*p**7\/525 - p**6\/150 + 8*p**5\/75 + 2*p**4\/5 + p**2 - 8*p. Let h(g) = 0. What is g?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.729212 kilometers in nanometers?\nAnswer: 7729212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 1\/28531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.1, -0.1126, -40?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 6*y**2 + 7*y + 15. Determine q(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 246 and 132?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + b - 4. Let q be x(-3). Suppose 4 - q = 2*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 3*a - 13. Let v be w(0). Let i = 14 + v. Is i bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -79 + (-16)\/(-4) + -2. What is the least common multiple of 48 and (-2758)\/j + (-10)\/(-55)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 9*r**2 + 26*r - 118. Let h be o(-12). Solve 0 = -5*f - h*f - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 863613, 863611, 863609, 863607, 863605, 863603?\n\"Answer: -2*a + 863615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/9)\/(2\/3). Suppose f*r = r + 16. Suppose 0 = -2*o - 5*m + m - 10, o - 5*m = r. Solve 0 = -5*v - 2*b + o + 22, -31 = -5*v - 4*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -77 + 89 + -11 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**3 + 14*n**2 + 2*n - 14 = 0. What is n?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 31*r**3 - r**2 - 26*r**3 + r**4 - 5*r + r - r.\nAnswer: r*(r - 1)*(r + 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by -26299\nAnswer: -12\/26299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a - a - 8*a + 2*a - 7*a**2.\nAnswer: -7*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.843005 rounded to two dps?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 2*t + 3. Let d be x(2). Suppose 56 = -92*y + 106*y. Sort 1, y, d in increasing order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 35, 36, 37, 38, 39, 40?\n\"Answer: t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 560015 is divided by 34988.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -37 - -44. Is (-1)\/(-7) + 685\/u 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 1:22 AM and 7:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(1 + 27\/(-24)). Let c = 32 + v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5, 6, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2d4d7 + 3?\nAnswer: 2d4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-144.403.\nAnswer: -14.4403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (-11 + 8 + -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*c**4*k**3 + 991*c**4 - 2*c**3 - 4*c**2*k**2 - 6416*c*k**3 - 2*c*k - 3*k**3 - 1 wrt c.\nAnswer: 192*c*k**3 + 23784*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 4*s - 12 = 2, -5*s = -4*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*k - 58893 = -17493. What are the prime factors of k?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 178050 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -253, -156, 97, 512, 1095, 1852, 2789?\nAnswer: 3912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1 + 3*((sqrt(500) - (-1*sqrt(500) + 1)) + -3) + 2*(sqrt(500) + 1 + -3)*2)**2.\nAnswer: -3800*sqrt(5) + 50358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1516 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3410?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-30)\/(-4))\/5*2. Suppose 0 = -u*p - p. Suppose 0 = 20*q - 19 - 41. Sort p, q, -1 in descending order.\nAnswer: q, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**4 - 410*x**3 + 1218*x**2 - 1214*x + 404 = 0.\nAnswer: 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21*h**5 - 27173*h**4 + 16*h**3 + 342672328*h**2 wrt h.\nAnswer: -1260*h**2 - 652152*h + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2)*(-158)\/(-474)*(-38 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322626344819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (17596\/689 - 26)\/1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/4)*f*f)\/f)**(-2\/3)*(f**(-2\/5))**(-19) assuming f is positive.\nAnswer: f**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 1022343?\nAnswer: 1022351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 310165298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17 and 4369?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1673992497 - -5?\nAnswer: -1673992492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 14) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0603482 rounded to 4 dps?\nAnswer: 0.0603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -444.\nAnswer: -5\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2544451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 2790334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*h - 22 = -260 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1186 a factor of 13261852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 5*n**4\/12 + n**3\/6 + 5*n. Calculate the remainder when 11 is divided by d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 750, 751, 768, 813, 898, 1035?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29459 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 + -17. Let k(o) = 7*o + 1. List the prime factors of k(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 11:40 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0. Let x be -1 + (m - -33)\/3. Let j = 2115 + -2090. What is the highest common divisor of x and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573)*-2)**2*1.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 597 and 22?\nAnswer: 13134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 0*f + 10 = -4*y, y + 10 = -2*f. Let m(s) be the first derivative of -1\/2*s**2 + 2 + y*s. Let q(p) = -p. Determine q(m(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49640*a - 198 = -49658*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 29, 73, 121, 167, 205?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/5, -4, -2\/13, 9, 10, -37 in increasing order.\nAnswer: -37, -4, -6\/5, -2\/13, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 1749 and 6991\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -163 - -8314\/51. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35354426309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 6:23 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39417 is divided by 39283.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(3\/5)*q\/q**(-4)*q)\/(q**(-5)*q**0)*((q*q**(-2\/3))\/q**(-2\/9))\/(((q**(-2\/9)*q)\/q)\/(q\/q**(3\/5))) assuming q is positive.\nAnswer: q**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*g + 45*g = p + 17, 0 = -4*p - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 575834, 1151596, 1727358, 2303120?\n\"Answer: 575762*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-52)\/(-14) + (-2)\/(-7). Let o(m) = m**3 + m**2 + 1. Let w(g) = -g**3 - 6*g**2 - 5*g + g**2 - 25 + 23. Let y(b) = 2*o(b) + w(b). Determine y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3822243701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -390824.9 + 0.03.\nAnswer: -390824.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*h - 16 = -5*k, k + 4 = -3*h. Sort 1, -6, k in ascending order.\nAnswer: -6, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*f + 5*f + 4*f + 76 + 8*f.\nAnswer: 2*f + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*-2*4\/(-88)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do -118028 and -118030 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*c**4 + 11*c**3 - 2*c + 50*c**4 - 34*c**3 + 20*c**3 in the form t*c**2 + r + x*c**3 + k*c**4 + b*c and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 873254308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4*j - 30 = 0, 3*s = 4*j + j - 10. Suppose 3*x = 10 + s. What is the remainder when (19703\/(-4148) - (-3)\/4)\/(5\/(35\/(-4))) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -16499*a**2 + 3*a + 2. Let k be t(-2). Round k to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.22999 - 619.33\nAnswer: -619.55999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (384\/(-18))\/((-6)\/9). Let x(f) = -17*f + k*f - 14*f. Let o(v) = -3*v. Determine o(x(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30) - (sqrt(30) + sqrt(330)\/(-2*sqrt(11))) - sqrt(30))\/((sqrt(54) - sqrt(6))*-3).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 107 - 277 = 0. Suppose -x = -2*p - 0*x + 131, -r = -2*p + 2*x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.197157 litres to millilitres.\nAnswer: 7197.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3454 or -3555?\nAnswer: -3555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52 - 51.845. Let q = w - -0.535. Let o = q - 1.12. Round o to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/30924 and 45\/11912.\nAnswer: 92091672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**5\/6 + 404245*h**4\/6 - 1616995*h**3\/6 + 404255*h**2\/6 + 404249*h = 0. What is h?\nAnswer: -404249, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 5*t - 95, y - 39 = 6*t - 4*t. Calculate the remainder when y is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 2 = 2*a, 5*b + 70*a + 25 = 65*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -9857*x**2 - 473136*x + 20. What is g(-48)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4196 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 340, 1400, 3164, 5626, 8780, 12620, 17140?\nAnswer: 22334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 8. Let z(i) be the second derivative of -4*i**3\/3 - 8*i**2 - 52*i. Let h be z(n). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.1 in 2, -3\/5, -68, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 294, 585, 876?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 4*f**2 - 5*f - 4. Let r be m(-5). Suppose 30 - 84 = -2*x - 4*h, 2*x = -2*h + r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53621 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 12*a + 324 = 0. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114876989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56*y**6 + 3*y**5 + 3*y**4 + 21*y**2 + 3 wrt y.\nAnswer: -6720*y**3 + 180*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r - 2. Let b be d(-5). Let h(c) be the first derivative of -1 + 0*c + 0*c**2 + 4\/3*c**b. Let g(q) = 2*q**2. What is h(g(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20*w + 33 - 3*w**2 - 33 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 8*i**3\/3 + i**2\/2 + 2*i + 4. Let h be 1\/(0 + -1) - -3. Is r(h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of 109*p**2\/2 - 1. Let t(j) = -8 + 19 - 4 - 7 + 2*j. What is b(t(w))?\nAnswer: 218*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*s - 3*s - s)*(-s + s - 2*s**3) - s**3 - s**4 + s**3 - 5 + 2*s**4 + 5 + (5*s**3 + 9*s**3 + 0*s**3)*(-4*s + 2 - 2).\nAnswer: -59*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 10:01 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96581?\nAnswer: 96581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37412 is divided by 178?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*q**4 + 2*q**2 - q**4 - 15 + 13 + 2*q**2 to o*q**2 + d*q**3 + u*q + c*q**4 + g and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3294632 and 11619?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -4) + 0 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a factor of 28704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13797 and 87129.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 627144 and 29864?\nAnswer: 627144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 363 - -45. Suppose g = -84*o + 92*o. Calculate the remainder when 148 is divided by o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14130 (base 11) to base 7\nAnswer: -112441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 3*g**2 + 5*g. Let x be j(4). Is (1 - 2)\/(x\/(-436)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -22942, -29592, -36240, -42886?\n\"Answer: p**2 - 6653*p - 16290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -20. Let h be 27\/5 - (-4)\/u. Solve h*m = 5*z + 30, -z - 5*m = 2*z - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -1. Let r = -72.024 - -73. Let o = 0.024 + r. What is the biggest value in o, x, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.02 from 2533673.\nAnswer: 2533672.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 25 = 3*g. Let c(b) = -2*b - 3. Let k be c(-4). What is the greatest common divisor of k and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (200904\/2552 - 85)?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -16, 6\/13, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-6) - (-4 - -4). Let o = -0.1 + 0. Which is the biggest value?  (a) -0.3  (b) o  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 974196029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-2 + -3 + 6)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110311 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 624 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*2\/8 + (-21)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**42\/(t**(-6)\/(t*t**(-5)\/t))*((t*t**(-4))\/(t\/t**(-5)))**(-14) assuming t is positive.\nAnswer: t**127","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c38 + 35?\nAnswer: 1c6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 0, 244, 3, -1, -61 in descending order.\nAnswer: 244, 43, 3, 0, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 8*t**2 + 20*t + 16. What is the remainder when m(-10) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17598*o**2 - 5837*o**2 + 98879*o**2.\nAnswer: 110640*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 90217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-10) + -2 + (-19 - -18)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -373, -747, -1121?\n\"Answer: -374*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263*q = 2329 - 6537 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k\/k**(-3))\/k*k*k**(-2\/19)*(k**(1\/4))**10)**(-41) assuming k is positive.\nAnswer: k**(-11521\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3808\/107 - -12494\/321. Let v = 8 + -5. What is g in 2*g**4 + 4\/3*g**2 + 0*g + 0 + m*g**v = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 0. Is 4 + -3 + (52 - u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 4*a**7\/7 - 11*a**3\/6 + 25*a. Find the second derivative of s(i) wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/14*(-228)\/(-171). Let i = -2 + 1.94. Which is the nearest to 1\/3?  (a) i  (b) u  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10686 + -73?\nAnswer: -10770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = 4*f - 10*f. Let n(a) = 2*a**3 - 24*a**2 + 3. Let k be n(f). Suppose 0 = 4*i + 5*s - 11, -5*i + 13 = -k*i - 5*s. Put -2, 2, i in decreasing order.\nAnswer: i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -821170*u - 821165*u - 821170*u + 3284675*u - 821168*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**5\/7 + 72220*r**4\/7 - 505082*r**3\/7 - 12995384*r**2\/7 - 61228256*r\/7 - 87802496\/7 = 0. What is r?\nAnswer: -4, 19, 36103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/823000 and -57\/125?\nAnswer: 823000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 170 - 85 - (54 + -18).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1337 (base 13) to base 14\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 6 - 7)*(r - 1 + 1 + 2*r + 0*r - r + (2 - 2 - r)*(1 + 0 - 2)) to k*r + n and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.131519 to three decimal places.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - 14*v**2 - 15*v + 7. Let m be g(15). Let f(u) = u**3 - 8*u**2 + 7*u + 8. What is the remainder when f(m) is divided by 1\/(1\/(9\/3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -68, 1, 3, -4 in decreasing order.\nAnswer: 5, 3, 1, -4, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -42613?\nAnswer: -8522.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00330408678 rounded to five decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n - 7. Let g be u(11). Suppose -3*o - 1 = -g*o. Solve o = 2*b + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -h**5\/10 + h**4\/4 - h**2. Let g(c) = 886*c + 12. Let n(m) = -1625*m - 22. Let z(t) = 11*g(t) + 6*n(t). Calculate b(z(a)).\nAnswer: -96*a**2 - 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*a - 2*a**2 - 46*a - 3 + 4*a**3 + 1 - 3*a**3 to the form p*a**2 + o*a**3 + q*a + l and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2 - 36*u + 80.\nAnswer: -2*(u - 2)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -651*z + 40812 + 330*z + 319*z.\nAnswer: -2*z + 40812","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 666 = 3*t + 6*t. Calculate the remainder when t is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 862*m**2*x**3 - 2*m**2*x + 42*m**2 - 2*m*x**3 + 6*m*x + x**3 - 98*x wrt m?\nAnswer: 1724*x**3 - 4*x + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m = 3*m - 5*h, -5*h - 25 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 11:39 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*s - 18*s**2 - 2*s - 70*s + 34*s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -20, -1\/5, 28\/5, 0.5, 38?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - i + 1. What is x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/13)*d**(-9)\/d*(d**3)**(-5) assuming d is positive.\nAnswer: d**(-323\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzyy when four letters picked without replacement from {z: 3, y: 5, x: 1, w: 2, l: 7}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - 65e0e?\nAnswer: -65e17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -7*r**2 - 2*r + 10. Let v(u) = 20*u**2 + 6*u - 29. Give -4*v(g) - 11*w(g).\nAnswer: -3*g**2 - 2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**3 + 0*n**3 + n**3 + (-313*n**2 + 283*n**2 - 369*n**2)*(20 + n - 20) - 4*n + 4*n + 2*n**3 as s*n**3 + h*n**2 + v + m*n and give s.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 AM and 3:09 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -50*h**3 + 10096*h**2 - 3*h - 798418.\nAnswer: -150*h**2 + 20192*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 196 + -218. Let l = -0.12 + -0.48. Let y = l - -1.6. Do y and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - f**2 + 5*f + 2. Let d be r(-3). Suppose -2*m - 8*y = -3*y - 5, 0 = -m - d*y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 132 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 18578.16744778 and 0.092.\nAnswer: 18578.25944778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*k - 84. Let o = k - 46. Solve a = -3*l + o, 2*l = 3*a + 9 + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of 5*c**4\/24 + 4*c**2. Let k be z(-2). Let j = -9 - k. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 - 11*h**2 - 12*h + 17. Give x(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x + 123 = 191 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31.1 - 29.79. Let t = 1.309964 - a. What is t rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of -2 - 8\/33*j**3 + 2\/11*j + 3\/11*j**2. Find m, given that x(m) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.3?  (a) -1.2  (b) 3  (c) -1  (d) 814\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3526235 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1727838 is divided by 251?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2566476 or -2566482?\nAnswer: -2566476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2 = 3*q - 9, 4*t - 2*q = -2. Let y(c) = 3*c**3 + t*c**2 + c + 3 + 0*c**3 + c - 2*c**3. Give y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g**3 - 424*g**2 + 420. Let z(b) = 8*b**3 - 848*b**2 + 2*b + 838. Let p(w) = -5*d(w) + 2*z(w). Solve p(h) = 0 for h.\nAnswer: -1, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -aa7 + -693?\nAnswer: -146a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (154 + 77 - 281)*(-18 - 6*u - 17 + 32) to g*u + y and give y.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 28 - 37977*s**2 + 75945*s**2 - 35 - 37979*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 55905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qmqgmzgjzjgg. Give prob of picking 1 j, 1 z, 1 m, and 1 q.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2*w = -12. Let i = 15 + w. Let a be i\/(-12) + 114\/8. What is the highest common divisor of a and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = a - 5 + 2, -2*a - 6 = 0. Solve 2*f + n*f - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.043 + 17.7. Round v to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5*a = 0, -c - 2*c = -5*a + 40. Sort -1\/5, c, -2, 2\/9 in descending order.\nAnswer: 2\/9, -1\/5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -d**4\/7 - 563*d**3\/7 + 5140*d**2\/7 - 4576*d\/7 = 0.\nAnswer: -572, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -267 + 267. Suppose f = 3*h - 17*h + 196. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3967793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.31 in -1\/205, 1, -2\/5?\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 6 - 1\/2*q**2 + 5*q. Find the first derivative of y(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -3*d**2. Let l(s) = 108*s + 469. Let b(c) = 72*c + 293. Let p(h) = -8*b(h) + 5*l(h). Determine p(m(z)).\nAnswer: 108*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -12, -74, -184, -348, -572, -862, -1224?\n\"Answer: -j**3 - 18*j**2 - j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02 + -2.02. Let p = -68518 + 68517.6. Which is the nearest to 4?  (a) w  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/o**6*o\/o**6*o*(o\/o**(-7))\/o*o*o**(1\/3) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-5 + (-9)\/((-270)\/132)). Let w(f) = 5*f + 2. What is w(r)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8\/23 + 1481\/92. What is the common denominator of t and 55\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (32\/24)\/(2\/6). Suppose -z*j - 4 = -4*y, -y - j - 2*j - 15 = 0. Which is smaller: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a - 5. Let x be d(-11). Let q be (-1 - -6)*(0 - -1). Suppose 9 = q*t - 6. Solve -3*z - t = z + 5*b, -b = 3*z - x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 726 = 3*l, -2*b + 4*l + 601 = -121. Calculate the remainder when b is divided by 100.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 12*p. Let j(n) = -5 + 4*n**2 - 9*n**2 + 3*n**2 - 8*n + 4*n**2. Let q be j(5). Solve q = 3*v + o - p*o, -5*v + 5*o + 35 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 47 = s - a, -203 = -4*s - a. Suppose 5*q = 3*q + s. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4\/7, 36, 1.3 in decreasing order.\nAnswer: 36, 1.3, 4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 680864, 1361821, 2042778, 2723735, 3404692?\n\"Answer: 680957*a - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.752 - -9.552. What is the biggest value in -0.04, m, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100624 divided by 8?\nAnswer: 12578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -1\/11  (c) 0.3  (d) -2\/5  (e) 0.2  (f) -80  (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 10:12 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-12)\/14*42\/(-4). Let i(t) = -t**3 + 19*t**2 - 19*t + 30. Let q be i(l). Solve -12 = -5*u - 2*p - 34, -4*u = -4*p + q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/21 in 198, 0.5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -32321 (base 4) in base 2?\nAnswer: -1110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10034867 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**4 - d**2. Let r(m) = -m**4 - 3*m**2 - 5. Let o(q) = -3*b(q) + r(q). Find the first derivative of o(j) wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 - -14. Round s to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the third derivative of b**5\/60 + 13*b**4\/24 + 35*b**3\/6 - 7*b**2 - 231*b. What is i(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -74, -301, -760, -1529, -2686, -4309?\nAnswer: -6476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 23 = 5. Let d be -3*(20\/w)\/(-5). Let v(j) = -4*j - 2. Calculate v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l**2 + 18170*l - 16507445 = 0. What is l?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21715172 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*s = 162 + 32, -198 = -2*u - 3*s. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-28)*(1 + -1). Suppose -16*m + u*m = -256. Let b(j) = -j**2 + 5*j - 3. Let x be b(3). Sort x, m, 5.\nAnswer: x, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(4\/15)*g**(-3\/2) assuming g is positive.\nAnswer: g**(-23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57\/((-5301)\/992))\/(5\/(60\/56)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) -1\/6  (c) -1496  (d) 4\/15  (e) -2\/7  (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 5*z + 111, 5*u = 3*z - 5*z + 154. Let n = -23 + u. Put n, -5, -2 in increasing order.\nAnswer: -5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbxbbbbxxbxbxbhxb.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (7\/((-168)\/(-3)))\/((-17)\/34*-7*1)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c - 31 = 2*l, 5*l - 5 = 6*c - 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 411740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*i**2 - 155*i**2 - 11*i**2 as r + v*i + a*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237662 is divided by 286?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2367920 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r**(-12))*r**(1\/16))\/(r\/(r\/((r**(4\/9)\/r)\/r)*r))**9 assuming r is positive.\nAnswer: r**(561\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -3, -5.755, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9610*z**5 - 252712*z**4 - 4085928*z**3\/5 + 9827136*z**2\/5 - 4599936*z\/5 = 0. Calculate z.\nAnswer: -22, -6, 0, 132\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4447 is divided by 1476?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 3:44 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 17393*y + 22837016. Determine r(-1313).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6999320 and 9763.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -958145?\nAnswer: -383258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j = 22 + 4. What is the common denominator of (j\/(-18))\/(10 - (-3 + 6)) and -57\/49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 5:23 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.8 + -1.9. Let u = f + 0.1. Let c = u + 0.999999. What is c rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66 - 16*k + 160 - 35 + 14*k to the form h + o*k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4942 and 5684?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmcecbegmgmgmgdmbgm. Give prob of sequence mbb.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 2:32 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 60 = 2*m. Calculate the greatest common factor of 135 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**3*(w\/(w\/(w\/((w\/w**(2\/3)*w)\/w*w))*w))\/w*(w\/w**(-1))**(-43) assuming w is positive.\nAnswer: w**(-271\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 592*f = 9788 + 276 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-2)\/v*v)\/v)\/v)**(-26))**(-50) assuming v is positive.\nAnswer: v**(-5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v**4 + 7892*v**3 - 133124*v**2 + 253808*v - 38640 = 0. What is v?\nAnswer: -345, 1\/6, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k = 123*k + 1107 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 5*n + 2*d + 262, 2*n + 5*d - 161 = 0. Let k = -36 + n. Suppose -2065*w - 1500 = -2077*w. What is the remainder when w is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 7*l - 8*l - 5 + 1 - 5. Let a be c(-7). What is the units digit of (0\/4 + -47)*a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 76389*x**2 + 1 - 11*x**3 - 1 - 5*x - 76395*x**2. Let o(a) = -10*a**3 - 5*a**2 - 4*a. What is 6*o(z) - 5*t(z)?\nAnswer: -5*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -a**4\/24 - a**3 + 2*a**2. Give f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 174 and 4437.\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5823, -5892, -5961, -6030, -6099, -6168?\nAnswer: -6237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*((-14)\/(-7))\/(8\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1267*l + 2159*l + 1846*l.\nAnswer: 2738*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1102 + -781. Suppose 0 = 9*z - 19*z - 2150. Let d = h + z. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5911420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12524 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64, -125, -188, -253?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 2\/25, 0, -6, 5 in descending order.\nAnswer: 5, 0.5, 2\/25, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -7*q**2 - 32*q - 7. Give b(-7).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 527 is divided by 129.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0, 16232, -5, 26\/9 in decreasing order.\nAnswer: 16232, 26\/9, 0.2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 14. Suppose -1 = w - 4, -o = -k - 2*w. Solve k = 3*u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + 0. Suppose 5*h = n + 10. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + -1 + -2)\/1. Let j be -9*(f + (-24)\/9). Suppose 5*k - 3*a = -0*k + j, 3*a = -3*k + 6. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8b7ca9 (base 14) to base 4.\nAnswer: 102012321331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -138 times 157853?\nAnswer: -21783714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**4 + 2392*a**3 - 28968*a**2 + 29152*a + 193280 = 0. Calculate a.\nAnswer: -1208, -2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - y + 13246, 0 = -3*z - 41*y + 39*y + 13250. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 * 1.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -0*i - 118. Suppose -i = -6*b - 17. Solve 2*o + 4*y - 5 - b = 0, -o + 7 = 3*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, c: 2}. Give prob of sequence dc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l + 30 = -10*l + 5*c, l + 4*c - 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6570 - -6565. Suppose -3*y = -4*d + 32, 23 = -5*d - 2*y + 86. Put d, v, 1 in decreasing order.\nAnswer: d, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1700 = 14*o + 133*o + 193*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 2 + 36*y**3 + 1 + 18*y**3 - 7 + y - y**2 as d + o*y**3 + t*y + f*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = k + 25, 0*k + 15 = 3*q - 5*k. Is 6 a factor of q*(-1 + -2 + 46\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 245*w - 1430 + 1430 + 7*w to the form v + b*w and give b.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103 + 23 = 7*x. Suppose -x = u + 34. Let y = -48 - u. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t + 5*t - 5*t)*(8 + 10*t - 8) + 3900*t - 3900*t + 77*t**2 as v + a*t**2 + i*t and give a.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (47 + 6 - (2 - -13)) + -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z - 2*z + 4*z - 2 + 1 + 5*z - 4*z + (-2*z + 1 - 1)*(1 + 0 - 3) - 3*z + z + 3*z + 45*z + 8 - 88*z + 41*z to r + x*z and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -646 + 1022. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/sqrt(6) + 4 - (sqrt(147) - (sqrt(147) + sqrt(147)*1))) + (sqrt(3)*-3*-1 - (0 + 0 + sqrt(3))).\nAnswer: 4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 11*r**2 - 1. Let i be b(1). Solve g - i = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2665\/43 - 31\/(-1333)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(44)\/sqrt(4) + -2*sqrt(1331) + 1)**2.\nAnswer: -46*sqrt(11) + 5820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**4 + 106632*r**3 - 639936*r**2 = 0. Calculate r.\nAnswer: -26664, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16, -41, -14, 1\/6, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 + 153*i**2 - 174*i - 936.\nAnswer: 3*(i - 3)*(i + 2)*(i + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -24. Solve -i*s = -6 - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -912 + 911.6324. Round k to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 - 42. Calculate the lowest common multiple of u and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-8)\/2 - -9 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 0  (c) 3  (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42360270, -42360266, -42360262, -42360258, -42360254, -42360250?\nAnswer: -42360246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 2*o - 3. Let r be y(2). Let c = 1 + 1. Suppose 0 = 2*j - 4*w - 44, -r*w - 1 = c*j - 0*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 400 divided by -80.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -74397834 divided by -7833?\nAnswer: 9498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 17) + 14 + 0 + -5 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {t: 1, a: 14, j: 2}.\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2*52\/16*(-22)\/33\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48 + 78. What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -304091*t**2 + 304083*t**2 - 1 + 23*t + 1 in the form l*t**2 + d + w*t and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -4*z + 32, -134*z + 3*j + 11 = -130*z. What is the closest to 0.8 in 2, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 2*i = -66, -2*o + 5*i - 4*i = -21. Suppose -2*u + 0*u + o = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1988 and 44588?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 - 618 = -3*c. Calculate the highest common divisor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -8. Let b be (3 - 2\/1)\/t. Let r = 1 + b. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 2  (b) -0.1  (c) -1\/2  (d) 2.55  (e) -323  (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + l**2 + 1. Suppose 0 = a + 2*a - 6. Let b(o) = o + 0*o + 0*o - 2. Let u be b(a). Give x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -341 and 1.1464.\nAnswer: -339.8536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + b. Let q be n(2). Let d be (q\/(-4) - 1)*2. Find the common denominator of d + (-122)\/(-40) + -4 and 9\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -108 + 109 + 34\/(-22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -58, -136, -230, -334?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4177496 divided by -449\nAnswer: -9304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 23 = 3*i, -8974*i + 23*p = -8969*i + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 49*y - 50*y + 192*y - 49*y - 42*y.\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.15  (b) -4  (c) -24.5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 9) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32763562 and 182?\nAnswer: 229344934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**6\/120 + c**4\/24 - 403*c**2 - 2*c. Suppose -2*t = -1 + 5. Determine i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-55)*(-25)\/14. Let t = g + -9\/11. Let h = 0.3 - 0.6. Which is the biggest value?  (a) t  (b) h  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3267053 = 3267052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**3 - p + p + (p**2 + 246*p - 246*p)*(-4*p + 7*p - p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(54)\/sqrt(3) + 3.\nAnswer: 3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3 = -3*c - 5, -7 = 2*a + 3*c. Suppose 5*u = -4*y + 177, 0*u - a = -u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -946006.4989+-29161\nAnswer: -975167.4989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-18)*i*i**(-7\/6)*i*i*i*i*i**(4\/17)*i*i*i**(-2) assuming i is positive.\nAnswer: i**(-1421\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*u - 3*u + u + u + u - 4*u + 0*u + u + 0*u + (0 + 4 - 6)*(2*u + 1 - 1) + 2*u - 2*u + u)*(-26 - 7 - 5)*(4 - 3 - 2) to v*u + z and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, m: 4, e: 1, v: 1}. Give prob of picking 1 e and 2 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -609 - 1554 = 54*x - 543 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00014652998 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 115 - 97. Let y be 96\/2 - (-4 + 4). Let o = -32 + y. What is the smallest common multiple of d and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36bb (base 16) to base 9\nAnswer: 21187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**2 - 776*z - 37636.\nAnswer: -4*(z + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-3)*(42\/4)\/(-7). Put 1\/15, 1, m in ascending order.\nAnswer: m, 1\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 223928430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 13 - 11 - (0 - 1). Calculate the remainder when 72 is divided by (100\/(-8))\/(a\/(-6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 505990 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 12\/5, -5, -11\/7 in increasing order.\nAnswer: -5, -11\/7, 12\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c + 4*c - 238 = 0. Suppose 0 = 20*t - c*t - 432. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 99\/(-9) + 1 + -3. Let t = i + -8. Let x be 268\/28 + (-9)\/t. Solve 2 = 3*g - x, d + 13 = 4*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (-5 - 9) - (7 - 7)) + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 355*r - 169. Is w(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -3*s**3\/2 - 20*s**2 - 12*s. Let x(c) = -19*c - 81. Let k(m) = 5*f(m) - 2*x(m). List the prime factors of k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*c**4 + 1160*c**3 - 7*c**2 - 72487 wrt c.\nAnswer: 552*c + 6960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2*-0.76\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 156 = -2*s, 2*g = 2*s - s - 75. What is the remainder when s is divided by (-4)\/6*-10*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -247 - -778. What are the prime factors of m?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9383828.\nAnswer: 2, 2345957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 110 or 6629\/60?\nAnswer: 6629\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfcffkj. What is prob of sequence ckj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*j + 124*j - 27 = 3*m, 2*m = 3*j + 2*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 7. Suppose q - 3*q = 0. Sort 3, b, q in decreasing order.\nAnswer: 3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -8*i**2 + 4*i**3 - 3*i**3 + 3*i**2 - 1. Suppose -3*p - 4*r + 10 = -1, -2*r = p - 3. Determine a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9541 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b + 42 - 402 = 360 for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 6 = 2*w, 0*w + 5*w = 2*n - 4. Let f(v) = -3*v + 4*v - v + 2*v**n. Let h(z) = 2*z. Calculate h(f(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-4 + -1)) + (-451)\/88?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.01 + 0.01. Let j = 204.02 - 196. Let w = 8 - j. Which is the closest to -1?  (a) -5  (b) n  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -103 + 4*r - 44 - 3*r. Let u(i) = i**2. Calculate y(u(p)).\nAnswer: p**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5577)\/910 + 6)\/(2\/(-68)). Let j = 39\/7 - c. Solve -3\/5*i**5 + j*i**4 - 24\/5*i**2 + 0 + 12\/5*i**3 + 0*i = 0 for i.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.129956 rounded to two dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 0*d = -5. Suppose -d*r + 45 = 3*m, -3*r - 3*m = -16 - 11. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 - -30. Let y = r + -1. Suppose y*x + 3*o + 0*o = 163, -o - 4 = 0. What is the least common multiple of 2 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + (-1 - -1) - -5. Let d(o) = 3*o - 31. Let f be d(12). Solve -16 = f*g - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.5573 centimeters in nanometers?\nAnswer: 105573000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9384 + -249?\nAnswer: 9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 3*a - 6. Let n be m(3). Let g(r) = 0*r - 8*r + 9*r + 9. What is the remainder when 14 is divided by g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 9*g - 8*g - 10 + 10. Let z(l) = -l + 2. Let d(c) = c - 1. Let n(r) = -2*d(r) - z(r). Determine w(n(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.197 times 3350\nAnswer: -659.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.16713 - -0.03287. Which is the second smallest value?  (a) 23.7  (b) 4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 538, 1081, 1624, 2167, 2710?\n\"Answer: 543*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91739 divided by 199.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 994751.\nAnswer: 994751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((6\/9)\/1)\/((-280)\/(-36) - 8). Put 0.4, -7\/9, y, 0, -5 in ascending order.\nAnswer: -5, y, -7\/9, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -246 - -129. Let b = 206 + h. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 74023 - 50345. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -1 + 88\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 19*u - 44. What is d(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19457 or -16769?\nAnswer: -19457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90446*f - 1248 = 90478*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/2 + 34*p + 1600.\nAnswer: -(p - 100)*(p + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5 = -a. Suppose 0 = 2*m - a - 7. Let h = 8 + -5. Calculate the highest common divisor of h and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 429273044 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 6*v - 281 = 2*r, 5*r - 200 = -2*v. Calculate the remainder when v is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2260, -9013, -20268, -36025, -56284, -81045?\n\"Answer: -2251*d**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*c - 20 = -100*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-1 + sqrt(1620) + 3)*6 - -2*(sqrt(1620) + -1)*-2)**2.\nAnswer: 1152*sqrt(5) + 6737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.291 + 0.009. Which is the fourth smallest value?  (a) -1  (b) 1\/5  (c) 2  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4*d + 20 = 0, -n + 2*n + 5*d - 19 = 0. Suppose y = -1, n*g - 8 = -5*y - 1. Solve g*h + 3*z + 18 = 0, 4*z + 10 = 5*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**4 - 9*z**3 - 8*z**2 = 0. Calculate z.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48 + 2*u - 48)*(-5 + 3 + 0) + 0*u + 4*u - 5*u + 28*u - 8*u + 21*u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 367*v**2 + v. Let a(o) = 50*o. Let t(l) = 12*l. Let b(d) = -a(d) + 4*t(d). Calculate b(g(w)).\nAnswer: -734*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 14886.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -5*x**4\/12 + 7*x + 5. Let k(i) = 5*i**2 + 8. Let y(n) = -5*n**2 - 10. Let p(m) = 5*k(m) + 4*y(m). Determine p(c(d)).\nAnswer: 125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 53896152 and 1160?\nAnswer: 269480760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10101110001 (base 2) to base 16\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + 17 - (1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**5 - 2691*o**4 - 10775*o**3 - 13473*o**2 - 5390*o = 0. Calculate o.\nAnswer: -2, -1, 0, 2695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45\/2 + 25. Let m = -125 + 124.7. What is the biggest value in m, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h**3 + h**2 + h + 1. Let j be c(-1). Suppose j*v - 4*v = -12. What is the common denominator of 7\/5 and v\/30 - 337\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 5  (c) -144  (d) 1\/4  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-298 - -309) + -1 + 0 + (-1 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + 26*w + 18*w + 3*w.\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2091150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - -11. Sort y, -2, 21.\nAnswer: y, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48087 by -5343.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -640 + 640 + 18*z**2 + 6*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11614080 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3063134*q**2 + 2373047*q?\nAnswer: -6126268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 17*o**2 - 2*o + 58. Let z be i(17). Solve 3*h = -12, -z = f + 4*h - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 459 is divided by 69.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 276 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 2670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 658784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -92*b**4\/3 + 485*b**3\/6 - 387*b. Find the second derivative of t(z) wrt z.\nAnswer: -736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4842 and 20444.\nAnswer: 183996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1, 22295, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of -n**2 + 0*n - 1\/21*n**3 - 1\/210*n**5 + 0 - 1\/42*n**4. What is x in d(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zwuu when four letters picked without replacement from {z: 9, w: 4, u: 3}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k - 200 = -7*k. Let p be (-12)\/42 + k\/(-35). Factor -6\/7*n**4 - 2\/7*n**5 - 4\/7*n**3 + 4\/7*n**2 + p*n + 2\/7.\nAnswer: -2*(n - 1)*(n + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3\/137 - -179\/1918. Which is the smallest value?  (a) 4  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33 + -32535?\nAnswer: -33012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 9:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 4*k**2 + 3*k - 5. Let g be m(4). Let z(d) = 9 - g - 3*d - 3. Let x be z(-11). Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1453937, 2, 173 in increasing order.\nAnswer: -1453937, 1, 2, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 4*z - 2. Put 1, z, 4 in ascending order.\nAnswer: 1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 12 + 3. Let x(b) = -b**3 + 4*b**2 + 12*b - 28. Let a be x(k). Solve 8 = -5*o + 3*h - a, -3*o + 15 = 3*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.12 or 0.035479?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 5\/42 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 1 - (2 - (-8 + 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -8*k - 16. What is the tens digit of l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -384 + 334. Let p = 314 - j. What are the prime factors of p?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/(-21))\/((-176)\/(-72))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 4*p - 56, -29*p + 379 = -308*x + 312*x - 156 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -288 + 282. Suppose 0*g = -3*g + 39. Let r = g + x. Let v(d) = -d**3 + 6*d**2 + 5*d + 9. Determine v(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 - 86609069782\nAnswer: -86609069781.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 68792, 137220, 205644, 274064?\n\"Answer: -2*u**2 + 68434*u + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 676.0597 nanometers to centimeters.\nAnswer: 0.00006760597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7278626 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 + -23 + 3 - (43 - 49)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 13159000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -17, -50, -83, -116, -149?\n\"Answer: -33*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/14 and 85\/1002792.\nAnswer: 1002792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppxxxxxxodxoxdx. What is prob of sequence odpo?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 + 6 + -1 + 14 + (3 - (1 + 6))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 AM and 5:39 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -3078807\nAnswer: 3078807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - -1 - 21\/(-28). Let f = 10 + -21\/2. Let m(k) = -4*k + 1. Let x be m(-1). What is the third smallest value in z, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0018 less than 0.2?\nAnswer: 0.2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*w*w)**43\/(w**(-2\/3)\/(w\/(w\/((w\/w**8)\/w)))) assuming w is positive.\nAnswer: w**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 1353?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 186 = 14*q. Let b(o) = -o**2 - 86*o - 586. What is the remainder when b(-75) is divided by q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/16)\/((108\/8 - 9) + (-3 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z + 16696 = 69212. Suppose 0 = -11*w + z + 7455. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 42360 - -2305?\nAnswer: 44665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 0.17  (c) 2.39  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 68\/(-30))*50\/100.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1449250 rounded to the nearest ten thousand?\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*8*7\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -44 + 48. Let c(w) = w**3 + 2*w**2 - 6. Let u be c(p). What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-287.\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2285, 2284, 2283?\n\"Answer: -t + 2286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllyllylllllllylll. Give prob of picking 2 l and 2 y.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6\/7*y**2 - 4\/7*y - 2\/7*y**3 + 0.\nAnswer: -2*y*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*v*w**2*z + 55*v*w - 917*v*z - 2*w**3*z wrt w?\nAnswer: 6*v*w*z + 55*v - 6*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*o - 527 - 3361 = 0. Let a be (-1)\/(((-1)\/23)\/1). Suppose -z - a = -n - 4*z, 5*n + z - 45 = 0. Calculate the smallest common multiple of o and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -19\/6*x**3 + 0*x**4 + 0*x - 1\/20*x**5 - 4*x**2 + 0. Find the first derivative of a(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9924.4 or 2445?\nAnswer: 2445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14700 divided by -4.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**6\/75 - 3*x**5\/50 + x**4\/10 - x**3\/15 - 57*x - 1. Factor o(r).\nAnswer: 2*r*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 8. Let v = 1 + p. What is the second derivative of -m - m - 2*m + v*m**4 + 7*m wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89259 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -9403055171943 + 2?\nAnswer: -9403055171941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 35*x**2 + 66*x + 8. Let v be u(-33). Suppose -3*h + 2681 = -7*q + v*q, 4*q + 5*h = 10696. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 - 36*r - 204*r + 3*r**2 - 2*r**2.\nAnswer: -2*r**2 - 240*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 15015 divided by -55\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2176 and 99399?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -2*l + 5, 11*l - 3*z + 11 = 7*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-17\/4)\/(l*l\/(l*l**(18\/7))))\/(l*l**(-18)\/l*l**(-16\/3)) assuming l is positive.\nAnswer: l**(1735\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9, -31, -67, -117?\n\"Answer: -7*a**2 - a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7, -429, -1425, -3235, -6099, -10257?\n\"Answer: -40*f**3 - 47*f**2 - f + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -18.1, -0.58, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 132 and 1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 1952 = 22. What is w rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2.23. Round y to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2 - -33) + -2 - 0 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -22, 2 in descending order.\nAnswer: 2, -16, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 125\/(-45)*1 - (-1 + -2). What is the fourth smallest value in 5, -1, r, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/3 + 10*k**2\/3 - 37*k\/3 + 26\/3.\nAnswer: (k - 2)*(k - 1)*(k + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -54 or -1283?\nAnswer: -1283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1388 (base 13) to base 9.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - 5*u + 3*u)*(1 - 1 + 2*u) + u - 11107*u**2 - 24839*u**2 - 9560*u**2 - 77776*u**2 - u.\nAnswer: -123286*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + y**2 - y + 3. Let d be k(-4). Let h = d - -42. Put -28, 5, h in increasing order.\nAnswer: -28, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p*v**4 + 18*p + 61*v**4 + 6*v wrt v?\nAnswer: 24*p*v**2 + 732*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1802795.131 rounded to the nearest one thousand?\nAnswer: 1803000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2629 - 2633. Which is the fourth biggest value?  (a) 2  (b) -0.2  (c) h  (d) 6  (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 462 and 14405322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*1\/(-1 - 0). Let z be (-33)\/9 + 2\/a. Is (-822)\/(-9) - (-1)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 1 = -11. Find the third derivative of 2*x - 2*x - 3*x**4 + v*x**2 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 8:13 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -33*z - 27. Let v(s) = -17*s - 14. Let o(x) = 6*d(x) - 11*v(x). Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -17*d**2 - 10*d - 37. Let n be b(-6). Let h = 16358 + n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from myapampaayyyaaaylalj. What is prob of picking 2 a and 1 j?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6239 - 16692229.\nAnswer: -16692228.3761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f - 32*q + 192, -137*f - 4*q = -140*f - 44 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i\/(i*i*i*i**(1\/8)*i))))**(-1\/63)*(i*i\/i**10*i)\/(i\/(i*i\/(i*i*i**(2\/5))*i)) assuming i is positive.\nAnswer: i**(-18523\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 696\/40*(2 + -1 - -4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 12:34 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 50 = -5*a. Suppose -3*x = -5*x + a. Suppose 2*f - 5*r - 21 - 44 = 0, -2*f = -2*r - 50. Solve -f = o + 5*s, -3*o + 2*s + 0*s + x = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 30 + (11 - (1 + -13 + 11))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -h - 4. Let c be (2 - h)\/2 - 3. Let v(g) = -g**3 - 4*g - 3 + g**c + g**2 - 3*g**2 - 3*g**2. Calculate v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.95099 - -0.03601. Let u = y + 0.013. What is the second biggest value in -1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/947 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 4*l + 44 = -0*r, l - 20 = -2*r. Calculate the greatest common divisor of r and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3330403\/27383000 - -94\/24625. Let j = 54637\/1390 - 393\/10. Let v = b - j. Calculate the common denominator of v and 77\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d - 47 - d**3 + 47)*(-3 + 1 + 1)*(0 + 0 - 1).\nAnswer: -d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-40)\/12*((-24)\/10)\/2. Suppose 2*b = t*b - 10. Suppose 2 + 23 = b*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeaeeeaaeeeeeeeeaa. What is prob of picking 4 e?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 752446 and 13712.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2003 + -5?\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0.049, -3\/5, 0.4, 2, -0.1, 0.5, -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -o + 2*o - 5*v, 4*v - 26 = 3*o. Let x(k) = 3*k + 1 + 3 - 5. Determine x(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (810\/(-378))\/((-13)\/(-273))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -z**3\/3 + 3*z**2\/2 + 5*z - 39. Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 1996*j**3\/5 + 121758*j**2\/5 - 76622*j - 384\/5 = 0?\nAnswer: -64, -1\/998, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 308aa07?\nAnswer: 308aa0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.14 - -0.16. Let a = -23 + 45\/2. What is the nearest to 1 in 2\/5, z, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*l - j + 739 = 0, 4*l + 64 = -32552*j + 32548*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 11) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**3 - 5*m**2 - 2*m + 1. Suppose -5*d + 4*d = -5. Let k = -1 + d. Is 14 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -196, -173, -150, -127, -104, -81?\n\"Answer: 23*n - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 7, 5 in ascending order.\nAnswer: -3, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*sqrt(147) + 0 + sqrt(147) + 5)**2.\nAnswer: 910*sqrt(3) + 24868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 12*v**2 + 13*v - 18. Let l be q(11). Let p(w) = 85*w - 32. Let h be p(l). What is the highest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1 and 10.359.\nAnswer: 11.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10010 + -333?\nAnswer: 4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 4*n - 8*n**3 - 21*n**3 + 37*n**3 - 2*n**4 + n**4 in the form y*n + j*n**4 + z*n**2 + m + s*n**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*x**2 - 12*x**2 + 8*x**2)*(1 + 3*x - 1) + (-x**3 - 2*x + 2*x)*(-3 + 3 + 2).\nAnswer: -38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 50\/10 + (-109809)\/(-20). Let g = 5494 - y. Calculate the common denominator of 29\/632 and g.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -67*h**6\/15 + 7*h**3\/6 + 223*h**2\/2 + 9*h - 90. Differentiate m(j) wrt j.\nAnswer: -536*j**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*d = -50*d - 5*t - 9, 0 = 4*d + 2*t - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1996.3604 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 2)*(-8*x + 1 - 1)*(-3 + 3 + x**2)*(16 + 4*x - x - 15) as o*x**2 + i*x**3 + h*x + f + u*x**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -20304242400?\nAnswer: 20304242410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 209 + -104. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -35815285, -35815287, -35815289, -35815291?\n\"Answer: -2*j - 35815283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 126 - (7 - -63) - 70.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 69262\/51951 - -2\/17317. Which is the closest to -0.035?  (a) 0.5  (b) -1  (c) j  (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of -y**6\/120 + y**5\/60 + y**4\/24 - y**3\/6 + 5*y**2\/2 + 5. Let f(o) be the second derivative of t(o). Factor f(a).\nAnswer: -(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(85)*6*-6)\/(sqrt(5) - (sqrt(5) + sqrt(80))*2 - -4*(sqrt(25)\/sqrt(5) - sqrt(5))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-12))\/(3\/6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35 + 38. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152908 is divided by 19108.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(11) - (sqrt(11) + 0 + sqrt(891)))*1.\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 231?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 3*v + 4*z - 849, 2*v + 2*z = 568. List the prime factors of v.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2. Let b(x) = -3259*x. Calculate l(b(q)).\nAnswer: 21242162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 29*g + 52*g = 624 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 31*i + 6*i + 229 + 104 = 0, 0 = -2*f - 4*i - 36 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -i*o**4 + 3*i*o**2 - 14*o**4 + 2*o**2 wrt o.\nAnswer: -24*i*o - 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 142411155 divided by -28482231?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = b - 43, -v = v - 3*b + 9. Let c(m) = 2*m**2 + 23*m - 14. Let q be c(v). Let w(a) = -a + 5. Let s(y) = -1. What is q*s(k) + w(k)?\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -14431397135 and 0.1.\nAnswer: -14431397134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p = 397 + 872. Let v = p - 136. Solve -v*i = -8*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*v + 15 + 73 = -62*v. What is the closest to v in 0.2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -165175 + -77.\nAnswer: -165252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -16*a + 440. Let j be d(28). Let v be -2 + 0 - (0 - 1). Let b be v - (j + -17 - (-6)\/2). Solve 4*i - b = -m - 5, -4*m + 5*i = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*l + 10*l + 12*h - 3, 4*l = -3*h + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (0 - -2) + (1 - 5) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1459.6*-0.1461.\nAnswer: -213.24756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2 > -14187337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-63)\/(-6))\/((-2)\/(-4)). Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11555.\nAnswer: 5, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -21. Let c(i) = -5801*i - 1. Let m be c(g). Suppose m = -0*t + 2*t. What is t rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 34\/8 - 2\/8. Suppose 3 - q = -w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**6\/45 + v**5\/15 - 2*v**3\/9 - v**2\/3 - 3*v. Suppose c(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 25*g**2 - 36*g + 28. Calculate the remainder when f(4) is divided by 86.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-1\/3)*o)**46)**(18\/11))**31 assuming o is positive.\nAnswer: o**(17112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 - 10. Suppose 4*h - 3*p + 96 = 459, -2*p + 268 = 3*h. Calculate the highest common divisor of h and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 14 = 7*q. Let o(d) = 5*d + 2 - d**q + 4 - 2. Let x be o(5). Solve 2*i + 0*i = x*f - 16, 0 = -4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -53a - 39192?\nAnswer: -396cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 742, 748, 758, 772, 790, 812, 838?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 113 and 3051.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 divided by 4?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 3*q + q)*(-6 + 6 - 4*q**3 - 2*q**4).\nAnswer: 2*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 8. Let y(v) = -v**3 + 13*v**2 - 13*v + 17. Let r be y(t). Suppose -3*u = -5*k - 30, -2*u - 3*k = u - 6. Is r equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 4*l - 5*o - 20, 0 = 3*l + 3*o - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2010*-111*(-13)\/195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14628\/(-2120) + ((-14)\/(-20))\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14\/(-132) - ((-23)\/1012)\/((-3)\/(-36)). Which is the fifth biggest value?  (a) -40  (b) 9\/4  (c) 1\/11  (d) -0.2  (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -358 + 361. Determine q so that -2*q**3 - 21*q**2 - 60 + 5*q**d + q**3 - 6*q**3 + 84*q - q**3 = 0.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*q**4 - 5*q**3 - 21*q**2 - 2 wrt q?\nAnswer: -96*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54442 by -2.\nAnswer: -27221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81883211.\nAnswer: 29, 2823559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-234)\/(-16) + (-17)\/((-408)\/9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -10.3. Let y = -1.8 + -0.2. Put 1, y, x in decreasing order.\nAnswer: 1, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssfffffffffff. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qzqzozoozzqzzqqqqzoq?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3280, 12592, 28028, 49588, 77272?\n\"Answer: 3062*z**2 + 126*z + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*z + 4*z - 8*z)*(0 + 0 + 2*z**4) + z**5 + 2*z - 2*z.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -938 + 1563. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -817*u + 2*u**2 + 4*u**2 + 838*u.\nAnswer: 6*u**2 + 21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (94\/(-136300)*-290)\/((-2)\/(10\/(-7))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 113, 868 in increasing order.\nAnswer: -0.5, 113, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t**(-1)\/t)))\/t)**24\/(t**(-1\/2)\/(t*t\/(t\/(t*(t*(t**(-2\/33)*t)\/t)\/t))*t)) assuming t is positive.\nAnswer: t**(-4525\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2161.761um to centimeters.\nAnswer: 0.2161761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 9*a + 8. Calculate u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 9*b**2 - 14*b + 1. Let w be l(6). Solve 3*k + 2*k = -w, -1 = y + k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccjbzzjzazcbbcjbg. Give prob of sequence cbzc.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1033, 1247, 1773, 2749, 4313, 6603?\n\"Answer: 23*q**3 + 18*q**2 - q + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1267535.\nAnswer: 5, 253507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/30 - (-1)\/6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 1 + 3 = 0. Let u = 13 + 79. Let o = z + u. What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 134*l**3 + 7*l**2 - 63*l - 121. Is q(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6699 + 10246. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 698 is divided by 308?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -33*y + 7. Let f(t) = 15*t - 4. Let x(s) = -13*f(s) - 6*j(s). Let o(d) = 7*d + 19. Let c(r) = 3*o(r) - 5*x(r). Calculate c(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2663 + 2657 - 9*s**2 - 5320 + s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24273650?\nAnswer: 2, 5, 257, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -499 - -2012. List the prime factors of t.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvtvvvvtvvt.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xpppprpepprpppppaxrb. What is prob of picking 1 p and 1 e?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*o**2 + 65*o**2 - 31*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z - 34 = 42. Suppose 0 = -3*x - 5*l + 723, -x - z*x + 1174 = -2*l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, k: 2}. What is prob of picking 2 l and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 189\/81 + 2\/(-10). Which is smaller: 34 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z**2 - 2375464*z - 2375471*z + 6*z**2 + 7126399*z - 2375464*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -21*y + 10. Suppose 4*f = 5*f + 5. Is h(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - 0. Calculate the remainder when -1*(-4 - h) + 4 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*u - 1455 = -148*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 14) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of 2*b**6\/45 + 2*b**5\/15 - 11*b**4\/9 - 8*b**3\/3 + 24*b**2 - 11*b - 3. Solve z(t) = 0 for t.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o**2 + 0*o**2 - 25*o**2.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28660671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 2:13 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 5*o**5 - 492320*o**4 + 12143047750*o**3 - 1186372600780*o**2 + 26518861517565*o + 125834688777780 = 0.\nAnswer: -4, 51, 49183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/8, -59, -17, 5?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 4\/((-140)\/(-45))*-3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c**3 + 14089 - 14089.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -102 + 35a?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 549074 and 0.11.\nAnswer: 549074.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-58)\/5075*(-2570)\/48. Let d = b - 13\/30. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4685 divide 92211949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**3 - 41*l**2 + 88*l + 872. Determine y(-8).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1988404.027 to the nearest one thousand.\nAnswer: 1988000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 255  (b) -0.4  (c) -16  (d) 1\/6  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z + 8. Let q be p(5). Let w be 5 - (-6)\/(-4)*-2. Let v = -4 + w. Solve v*l - 5*t = q, 0 = 5*t - 2*t + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41, -33, -15, 19, 75?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -6 + -8)*(-405)\/315?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3\/5, 430 in decreasing order.\nAnswer: 430, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 + 0.2. Let x = n + -0.26. Let c = x - 0.039966. What is c rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205680475?\nAnswer: 5, 7, 11, 13, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -5*n**2. Let p(j) = -2*j + 14. Let y be p(5). Suppose 2*f - g = y, -4*f = -f + 3*g - 6. Let k(o) = -o**f + 3*o**2 - 4*o**2. Determine k(m(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10076 + 55?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 12 = v, v = 5*v - 3*h - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 6 = f. Suppose 0 = -2*t + 5*t - f. Suppose 0*c + 4 = t*c. Solve 4 = -r + c*i, -5*r + 4*r + 5*i = 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2800.96933 + 2801. Let z = -0.05 - -0.02. Let w = q + z. Round w to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cpp when three letters picked without replacement from {p: 6, c: 6, y: 1, q: 4, e: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1400746.\nAnswer: 2, 23, 37, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 218 + 4.1?\nAnswer: 222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 8\/3)*(-27)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -106571012*k*q**2 + 108753157*q**2 with respect to k.\nAnswer: -106571012*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k + 12*k + 100 = 0. Let a be -3 - 3\/5*30\/k. Let 0 - a*p - 3\/2*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.1 + 1.7. Let b = -0.45 - -0.05. Let o = b - c. Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wdukkdvwkk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1307 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: 353687 (base 12) to base 7\nAnswer: 10164403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*p - p - 4*u - 6, 5*p + 7 = 3*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of -7*j**5\/20 + 3*j**3\/2 - 3*j**2. Let t(f) = -5*f**2 + 2. Calculate 2*p(k) - 9*t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 119134 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075196501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(153)*-3 + 0)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 92*w + 14. Let a be y(4). Find the third derivative of -a*s**6 + 360*s**6 + s**2 - 9*s**2 wrt s.\nAnswer: -2640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.8652343 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 21. Let b = g - -48. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -2, -18, -10.\nAnswer: -18, -10, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6294156 bigger than 6294163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8949\/81293 or 1?\nAnswer: -8949\/81293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5836 - -0.1836. Which is the fifth smallest value?  (a) w  (b) -15  (c) -1\/2  (d) 22  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -205338120009 - 1.039.\nAnswer: -205338120010.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 72445 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*-4 + (-2840)\/(-140). Let t be -1 + 5\/((-10)\/12). Let w be (-32)\/(-63) + 2\/t. What is the closest to r in 4, -3\/14, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -2178124\nAnswer: -1\/1089062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*h + 11*h + 10*h)*((0 + 0 + 2)*(-1 + 2 + 0) + 1 + 2 - 5 + 4 + 2 - 1).\nAnswer: 215*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l = -29*l - 7*l + 63. Solve 4*g = -f + 18 - 1, 13 = f + l*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 11, m: 7, b: 1}. What is prob of picking 3 m and 1 f?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 1.4  (b) -0.148  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -36.47 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d**2 + 30*d - 5. Calculate the remainder when 102 is divided by a(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-5)*-40*(-16)\/256.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/3, 286\/19, 0.4, -177?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 1291077*a**3 - 6013*a**2 - 6013*a + 12026. Let m(l) = 859*l**3 - 4*l**2 - 4*l + 8. Calculate 6013*m(h) - 4*o(h).\nAnswer: 859*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -18579.725 rounded to 0 dps?\nAnswer: -18580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (182346\/(-18))\/(840\/45 + -19)?\nAnswer: 30391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/4*(-1 + 3). Suppose f*y - 31 = -5*v - 2, -v - 4*y + 16 = 0. Solve r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, 49, 1\/8, 4, -5, 14.31, 2 in decreasing order.\nAnswer: 49, 14.31, 4, 2, 1\/6, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c + 266*c + 650*c - 40025 = -122617 for c.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 + -5. Suppose 0 = 4*i + 4, -n*t + 2*t = 5*i - 7. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.28194 rounded to 3 dps?\nAnswer: 0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -288, -567, -836, -1095, -1344, -1583, -1812?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4228*m**2 + 1408*m**2 + 1426*m**2 + 1396*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + 0)) + (1*sqrt(63))**2 + 3*(0 + sqrt(175)))*3.\nAnswer: 45*sqrt(7) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*b = -14 + 6, 5*i = 2*b + 4. Suppose 5*a - 25 = i, 6*p - 880 = p - 4*a. Let x be p\/60 - 4\/(-30). Solve 3 = -x*o + 2*h, -o + 6 - 2 = h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*o + 60 - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 10*v**2 + 2. Calculate d(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 888*f**2 - 7*f + 25. Let s(r) = -296*r**2 + 2*r - 7. Let v(y) = 4*p(y) + 14*s(y). Let w(m) = -m. Give w(v(t)).\nAnswer: 592*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.001*-32647.\nAnswer: 32.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -3772224 greater than or equal to -3772239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(sqrt(512) + sqrt(512)*-4))**2.\nAnswer: 13\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**7\/r**4)**27\/((((r**(-2\/21)*r)\/r)\/r**1)\/(r**7\/r*r*r**(-5))) assuming r is positive.\nAnswer: r**(1766\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -550 not equal to -528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*i**3 + 3788*i - 3788*i.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4494679027.\nAnswer: 617, 2161, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -122 + 8475 + -8240.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.34468 litres to millilitres.\nAnswer: 5344.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11454503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 918882583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r + 8. Let z(k) = 11*k + 16. Let p(q) = 9*b(q) - 4*z(q). Let u be p(-6). Solve u*x + 1 + 21 = 4*w, -4*w - 4*x + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 388\/3  (b) 0.2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13062 + -13065. Let i = 1 + -3. Put 0, i, u, 7 in increasing order.\nAnswer: u, i, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-7))\/(3165\/4220)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*x - 40*x + 151*x - 28*x - 25*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((32\/(-12))\/4)\/(1\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jecfokoej. What is prob of sequence jef?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1064131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**5 + 4*x**5 - 2*x**5 + (-2*x**2 + 3*x - 3*x)*(-2*x**3 + 4*x**3 - x**3) + 12*x**5 - 2*x**5 - x**5 + 0 + 0 - 2*x**5 + 0 - x**5 + 0.\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 4:38 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 0 + 0 - 2*p. Let f(h) = -4*h + 6*h - 8*h. What is f(z(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 100560 and 17765600?\nAnswer: 53296800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 2*h - 5 - 11, -3*h = t - 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -2, 3\/29 in increasing order.\nAnswer: -2, -1\/2, 3\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1131, 4490, 10093, 17952, 28079, 40486?\nAnswer: 55185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 197357993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 725 divide 10660400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 6:46 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 47*o**3 + 16*o**2 + 5*o - 5. Let w(l) = 24*l**3 + 8*l**2 + 3*l - 3. Let t(q) = -3*c(q) + 5*w(q). What is the third derivative of t(s) wrt s?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m = -94*m - 75*m + 21828042. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 15*i**2 + 8*i - 21. Let d(b) = -2*b**3 - 29*b**2 - 16*b + 41. Let r(k) = -3*d(k) - 5*h(k). Let s be r(-11). Solve 2*y = 5*y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in 0.4, -1\/5, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2 + 0 - b + 5. Let j(w) = -1. Suppose -86 = -6*s - 2. Suppose -4*f = 3*l + s, -l + 19 = -3*f + l. What is f*j(q) - a(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 1, k: 11, v: 1, e: 6}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {j: 2, d: 11, p: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.792 - -0.008. Let n = -1.8 + f. What is the nearest to -2\/3 in -0.5, n, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22 - 33 + 51*f**4 + 55 + 6*f**2 wrt f?\nAnswer: 1224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 380199409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 11*d**2 - 11*d + 12. What is the least common multiple of n(10) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661.9537ml in litres?\nAnswer: 0.6619537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -172.69 - -174. Let i = s - -0.69. Which is the closest to 0?  (a) i  (b) -0.1  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-1 + (2*sqrt(76))**2*3 + sqrt(76) + (sqrt(76) - (3 + sqrt(76) + -2*sqrt(76)))**2 + sqrt(76) + -2)*3 + 5).\nAnswer: -3671 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3143*c = -3127*c - 160 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -2*r - 6. Let u(g) = -172*g + 337*g - 173*g. Does 7 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -72, -3, -2 in increasing order.\nAnswer: -72, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 329621 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, b: 4, o: 5, d: 4, m: 2}. Give prob of picking 2 m and 1 d.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 850800 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 362114, 724267, 1086410, 1448537, 1810642, 2172719, 2534762?\nAnswer: 2896765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*p - 102*p - 20692 = 0. What are the prime factors of p?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 2*u - 3 - 19, 5*p - 20 = u. Let n(i) = -7*i**3 - 2*i**2 - 6*i - 2. Let d(w) = 3*w**3 + 3*w + 1. Let b(t) = 5*d(t) + 2*n(t). What is b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2553087 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0 - 9. Suppose s = -s - 4, -3*s + q = 5*f. What is the remainder when 7 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.068891601 rounded to 3 dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 32 = -6*l. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zi when two letters picked without replacement from szeiteiittttiiitt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r**2 - 5*r - 5. Let i(d) = d**2 + 3*d + 2. Let x(l) = 9*i(l) + 4*y(l). Let w be x(-8). Solve 5*u - 4*f + 18 = -w, -2*u = -2*f + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 + -4 + (4 - 1) and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11024 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-8\/9)\/g*g**(4\/11)\/g*g)\/((g\/(((g*(g*g**44)\/g)\/g)\/g*g))\/g)**(-21) assuming g is positive.\nAnswer: g**(-91627\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/11 in -1.39, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 4*q = -4*j, 0 = 5*q - 3*j - 40. Suppose q*d - n - n = 493, 0 = -5*d + 5*n + 490. Calculate the highest common divisor of d and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jyjyyjyjyy. What is prob of picking 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.678 - 4.678. Put m, 5, -0.5, -3, 1 in ascending order.\nAnswer: -3, -0.5, 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-5)\/(60\/108))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36024, -36013, -35998, -35979, -35956, -35929, -35898?\nAnswer: -35863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 - 159*k**2 + 6069*k - 13. What is z(63)?\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 3*q. Let i be k(0). Suppose i = -0*n - 2*n + 12. Solve 0*s - 2*s = -n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of 2*z**4 - 3*z**3 + 11*z**2\/2 + z - 6. Is y(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 4*z + 3. Give l(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -q - 6. Suppose 40 = 5*z - q. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14, -52, -90, -128, -166, -204?\n\"Answer: -38*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -10 - 5 - s + 11. Let d(l) = 3*l + 2. Let a = -5 + 3. Let r be d(a). Give f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-19 - 76 - -14) + 10 + -23?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 19*m = 4480. Let u = 283 - m. Solve 0 = u*g - 34 + 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 5:22 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 140 = 2*m. Let u = m - -30. Solve u*n + n = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 8*t - 6*t - 15*t - 2*t - 16*t. Let c(b) = -b. Give c(r(w)).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b - 2*c + 19, -24*b + 3*c = -21*b - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 1)*(2*i - 3*i - 2*i)*(i**2 + i**2 + 2*i**2)*(-2 - 3 + 7)*(-4*i + i + i).\nAnswer: -96*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -100945.10154 + 100946. Let f = 0.9 - z. What is f rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-5*sqrt(275)*-2 + 4)**2 + -4 + (2*(2 + sqrt(275) + 2 + -1))**2).\nAnswer: -143240 - 2600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -7 + -16 + 10 + (0 - -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2874 > 8621\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -748419086008 plus -3?\nAnswer: -748419086011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 35*a**2 + a + 2. Let y be r(-2). Suppose -c = 4*c - y. What is the units digit of 3 + 1 - c*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9604 + -9604.0000020566. What is j rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 49030165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, -3, 30, -2\/17, -2, -1\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-33) + 0)\/(1251\/5004)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - z**2 - 4)*(3*z - 3*z - z**2) - 6901*z**2 + 6901*z**2 + 975*z**4.\nAnswer: 976*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7992896 and 26?\nAnswer: 103907648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*a + a = 0, 0 = -4*g - a + 5. Let s = 12 - g. Let u = -80 - -201. What is the highest common factor of u and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x**2 - x**2 + x**2)*(x**2 + 2 - 2) - 22 + 128 - 6*x**4 + 5*x**4 to l*x**3 + k*x**4 + z + d*x + h*x**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 a factor of 2865900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -343 or -339?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1391418333 to the nearest integer?\nAnswer: 37302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, 0, 12, -5, 157 in decreasing order.\nAnswer: 157, 12, 0, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20690060 and 22759066?\nAnswer: 227590660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.6506414ms?\nAnswer: 0.0006506414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 34 + 11 - 295*m - 285*m + 610*m. What is the tens digit of a(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 94\/33, -2\/3 in ascending order.\nAnswer: -6, -2\/3, 94\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.418 - 0.018. Which is the third smallest value?  (a) -190  (b) -0.2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 774*l - 1081*l = 1381*l + 65832 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1631187 is divided by 1555.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 + 4)\/((-3)\/6). Which is smaller: -36\/11 or p?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -16*c**2 - 7*c**3 + 9*c**3 + 14*c**2 - c. What is o(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/7 + 8\/7*y + 1\/7*y**2.\nAnswer: (y + 2)*(y + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -982*u - 148. What is the units digit of q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - -222917112.14?\nAnswer: 222917112.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4\/11 - 1700*t**3\/11 - 3874*t**2 + 192636*t\/11 - 148320\/11 = 0.\nAnswer: -824, -30, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 570, 1122, 1666, 2196, 2706, 3190, 3642, 4056?\nAnswer: 4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*k = -190, k = -0*k + 5. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 2*n - 17 = -5*n, 0 = 2*j - n - 9. Solve 3*b - 16 = -j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/(s\/(((s\/s**(-1\/4))\/s)\/s)*s))\/s)\/s*s)\/(s\/s**(-1\/3)))\/(s*s\/(s*s**(1\/2)*s*s))**(-6\/29) assuming s is positive.\nAnswer: s**(-1529\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41799.\nAnswer: 3, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 289 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 602 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 50*t - 287. Let a(g) = -33*g + 178. Let u(j) = -8*a(j) - 5*b(j). What is u(6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**3\/7 - 29709*d**2 - 9975453*d\/7 - 9767493\/7 = 0. What is d?\nAnswer: -69273, -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.96 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -473.215651 rounded to the nearest integer?\nAnswer: -473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 66833734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -o**7\/105 + 11*o**6\/30 + 127*o**5\/30 + 53*o**4\/3 + 36*o**3 - 309*o**2 + 5. Solve l(y) = 0.\nAnswer: -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0309?  (a) -4  (b) 2  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from {h: 3, u: 4, r: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u**2 + 81*u + 84 = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {p: 3, s: 2, b: 1, l: 4, t: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-39)\/(-36) - -2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 5*k + 1361 = -164, 2*k + 1232 = 4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + (-4)\/(88\/70). Let l = 2480\/9 - 276. Sort f, 1\/2, l in descending order.\nAnswer: 1\/2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 435 - 435.2. Let s = -32 - -31. Which is the closest to s?  (a) 3\/8  (b) d  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 145, 174, 201, 226, 249?\n\"Answer: -a**2 + 32*a + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (47498\/(-1224))\/127*-12?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*-4 - (-111)\/106*4. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1416 + 1419. What is the second smallest value in 0.1, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8\/9)*s\/((((s**(-5\/8)*s)\/s)\/s)\/s))\/((s\/(s\/s**(1\/19)))\/((s*s*s**(3\/11)*s*s)\/s)) assuming s is positive.\nAnswer: s**(89629\/15048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 861095 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -54, -90, -116, -126, -114, -74?\n\"Answer: j**3 - j**2 - 40*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6651 + 6687. Suppose -4*v - v = -20. Suppose 25 = v*q - 55. Calculate the remainder when t is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56\/35*(-20)\/(-144)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 118294937 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.2 - -3. Let m = 41 - -57. Let p = m + -100. Which is the nearest to f?  (a) 0.4  (b) -5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*7\/(126\/15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of g**3\/3 + 35*g**2\/2 - 34*g + 778. Let d be k(-36). Factor 1\/4*j**3 + 1 + 9\/4*j + 3\/2*j**d.\nAnswer: (j + 1)**2*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 220 = -76. Let f = 269 + m. Let j(a) = f*a - 121*a - 2*a**2. Let w(x) = 8*x. Give w(j(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = c + 2*l, c - 4*l = 5*c - 136. Suppose 19 - 6 = -b. Let a = c + b. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 433 - 430. Suppose 4*g + n - 4*n = 19, 5*n + 17 = a*g. Solve -4 = -m - 0*m + g*d, 4*d + 4 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1095\/2 + 5\/4*u**2 - 2195\/4*u.\nAnswer: 5*(u - 438)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/5*(78375\/(-50))\/209?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 880 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/77 - (-6)\/(-33). Suppose -k - 4*m + 10 = o, 5*m - 8 - 6 = -2*k. Find the third derivative of -k*z**5 - 2*z**5 + 6*z**5 + 6*z**5 - 2*z**2 wrt z.\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3*w = 18. Calculate the remainder when 74 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - b**2 - b - 7. Let v be t(0). Let s = v - -7. Suppose s + 1\/4*o**3 + 0*o + 0*o**2 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 0*t**3 + 0*t**2 - 9\/4*t**5 + 0 - 28\/3*t**4 + 37*t. Find the third derivative of g(r) wrt r.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 - 5*r**2 - 12*r - 13. Let g(v) = -v**3 - 4*v**2 - 13*v - 15. Let y(o) = 4*g(o) - 5*m(o). Give y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.145 + -49.95479?\nAnswer: -49.80979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + 110001?\nAnswer: 103332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-8)\/(-30))\/4)\/((-31)\/(-1581)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/((-6006)\/4632) + -17 + 27.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*v + 28 = -103*v. Suppose b + 4*t + 13 = 0, -9 - 3 = 3*t. Suppose -b*m + m = -4. Calculate the lowest common multiple of m and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrlrrrlr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i - 2*i + 6 + 4*i - 2*i. Let j be v(5). List the prime factors of (62\/j)\/(5\/(-10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 8*q - 36 = 0. Calculate the least common multiple of q and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbwuuuuqjiwqww. What is prob of picking 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 16*q**3 - q. Let r be l(1). Solve -4*v - r = -9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.513, 82, -26.5 in decreasing order.\nAnswer: 82, -2.513, -26.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of 3\/5*f**5 + 0*f + 0*f**4 - 6 - 86\/3*f**3 + 0*f**2. Find the third derivative of w(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 30 = 5*z, -5*w + 4*z - 7 + 19 = 0. Is w*122 + (18 - 19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21103217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 386.155 - -0.845. Let q = i + -382. Let n = -0.42 + 0.02. Which is the smallest value?  (a) -2  (b) n  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 138674304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 9*z**2 + z + 11. Let o(v) = -4*v + 3. Let m be o(3). Let g be u(m). Let d = g - -2. Solve -3*l - d = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*g + 17*g**2 - 41*g**2 + 24*g**2 + 4*g**3.\nAnswer: 4*g**3 - 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 129*j**2 - 6*j - 6. Let q be a(-3). Let p = -837 + q. Is p a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 42.3 - 80.7. Let x = 35 + h. Let d = x + 3.419. Round d to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u**2 - 2*u**2 - 2*u**2)*(u**2 + 0*u**2 + u**2 + (u**2 + 4 - 4)*(180 - 13 + 337)).\nAnswer: 1012*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 503*q**3 + q - 501*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-26) - 987\/(-91). Let p = -10 + a. Let h be p + -5 - 28\/(-2). Solve -2*v + 4*v = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7350033*z**4 + 5345520*z**2.\nAnswer: 176400792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r*((r\/(r**(-7)\/r))\/r)\/r)\/(r*(r\/r**(2\/17))\/r))\/((r*r**0)\/r**(-3\/4)) assuming r is positive.\nAnswer: r**(501\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 4553?\nAnswer: 4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3245049791 to the power of 1\/4, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -110 - -48. Let m = 246 + -126. Let y = v + m. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2. Let h be ((-17)\/(-34))\/((-3)\/(-30)). Let m(a) be the third derivative of 0*a + 0*a**3 + 0 + 0*a**4 - 1\/20*a**h - 17*a**2. What is m(n(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 16, -10247, -0.07 in descending order.\nAnswer: 16, -0.07, -17, -10247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 250 + -244. What is the third derivative of -3 + 8*x**5 + 25*x**2 - 5*x**5 - 35*x**6 - 36*x**v + 70*x**6 wrt x?\nAnswer: -120*x**3 + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19379.\nAnswer: 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 0 - y - 6 + 6. Let p(w) = 25*w**3 - 6*w + 14. Let f(b) = -6*i(b) + p(b). Differentiate f(d) with respect to d.\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2653*t*u**2 - 125858*t - 13*u**3 wrt u?\nAnswer: 5306*t*u - 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/60*93\/31*(-590)\/(-2)*-2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-340)\/(-24) + (-10)\/(-12). What is the least common multiple of (-8)\/(-28)*3\/(k\/385) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 q, and 1 x when three letters picked without replacement from {q: 1, x: 5, d: 3, i: 1, s: 1, o: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2 + (0 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/15 of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of u**6\/180 + 7*u**4\/24 + 3*u**3 + 7. Let t(d) be the third derivative of z(d). Differentiate t(j) with respect to j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 175397 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 65691418820.\nAnswer: 65691418819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 840 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 71. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-17)\/8 - 4\/(-32). What is the remainder when 89 is divided by v\/12 + 10659\/342?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0\/1)\/(2 - 4) - -195. Let z = o - 85. What is the greatest common divisor of z and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 254602.4 centimeters?\nAnswer: 2.546024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -89*m. Let o(b) = 12*b. What is o(q(v))?\nAnswer: -1068*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 9 + 13)*(2*p**2 + p + 6 - p).\nAnswer: 28*p**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-8\/5))**(-46)\/((u\/u**(-10\/11))\/u**(-5\/3)) assuming u is positive.\nAnswer: u**(11554\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-11))\/(k*(k*k**(-32))\/k) assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 100 = 56*f. Solve 5*o + 17 = 4*o - 5*i, -f*i = -4*o + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3771\/2 + 169663\/90. Calculate the common denominator of -11\/1160 and w.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 44 = -51 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-1*-2*(-1)\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 7 + (-4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-12) + (-22)\/(-12) + (-6)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 566160?\nAnswer: 2, 3, 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*(((-18)\/150)\/(-1))\/(6\/36*-9).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.0001 * 2.47\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3 = c, m - 2 = -0*m - 2*c. Is (-15666)\/(-28)*m\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 65 - 62. What is the biggest value in -0.4, 12\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2282973835 rounded to five decimal places?\nAnswer: -0.2283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-5 - -14) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 4*z - 1. What is f(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45250 and 761286?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*i = -46*i + 5. Let g be (114\/3 - 7) + (2 - i). What is the greatest common divisor of 48 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1997?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 5*q = 1499 - 329, 4*g - 948 = -2*q. What is the highest common factor of g and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (212\/24 - 9)*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 4*z - 1, -z + 6*z = 20. Solve -3*q = -i*a + 6, a - 6*q - 15 = -10*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 278, 460, 644, 830, 1018?\n\"Answer: m**2 + 179*m + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-91)\/26 - 18)*(-8 - -3 - -7).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -33887645 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (13 - ((42 - 5) + 12 + -24 + 6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1*sqrt(700))**2*-1.\nAnswer: -716 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 73 - 68. Solve -3*p = -2*r - 1, 5*r + 2*p - w = 7*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/6, 1, 2, -5, -9621934?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -4)*(-329)\/(-28). Let i = -15 + t. What is the smallest common multiple of 6 and i?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10164634 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2. Let x(f) = 2*f. Let w(j) = -j. Let p(a) = -3*w(a) - 2*x(a). Calculate p(n(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3199999*w**2 - 3*w - 2. Let l be 2\/(-4)*0\/(-10). Suppose -1 = z - l. Let q be n(z). What is q rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3.4  (b) 63  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/280 and (-12215)\/(-1350) - (-19 - -3 - -25)?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 8*j + 337. Let w be y(-42). Let c(a) = a**3 + a**2 + a - 1. Let r(m) = -3*m**3 - 5*m**2 - 4*m + 2. Give w*r(k) + 4*c(k).\nAnswer: k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/16050 and -33\/2.\nAnswer: 16050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -575 + 584. Suppose -132 = -x*i - 78. Solve i + 2 = 8*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 PM and 3:46 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 65132*a**4 + a**2 - 37600*a?\nAnswer: 1563168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f**2. Let m(g) = g + 1. Suppose -8*a = -10*a - 2. Let v(h) = 2*h - 1. Let o(n) = a*m(n) - v(n). Calculate o(x(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -213662754?\nAnswer: -213662750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -25. What is the closest to y in -4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 + 3. What is the remainder when 74 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s**3 - s**2 + 11*s + 2. Let p be d(0). Let x(c) be the second derivative of -1\/12*c**4 + 2*c**2 - 2*c + 1\/3*c**3 - p. Give x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/((1365\/(-26))\/(-35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 + 5. Is c less than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 139, -1, -3013 in decreasing order.\nAnswer: 139, -1, -3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -17*r**2 - 25*r + 79. Let t(h) = -14*h**2 - 24*h + 77. Let u(s) = 5*q(s) - 6*t(s). Calculate u(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12167\/(-69)*6\/10. Let f = m + 3059\/30. What is the common denominator of -77\/6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -319, -305, -285, -259?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {c: 2, r: 1, i: 2, b: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-126 - -125)\/(2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.354678nm?\nAnswer: 0.000000000000354678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**1)**46)**(-28) assuming t is positive.\nAnswer: t**(-1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 42\/445 and (25\/(-150))\/((-104)\/106 - (-4)\/4).\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 6 = -2*n, 3*n - 215 + 235 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -319 - -370. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 32*n**2 - 6*n + 29. Suppose -4*r + o - 47 = -0*o, -4*r - o - 41 = 0. Is h(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 29, 31, 33, 35?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (-23 - (-9922)\/286)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 3, -0.3, 0.03, -0.4, 64.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide (-2)\/(-21) + ((-1092386)\/(-21))\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -67\/180 + -1\/36. Let k = 13.44 + 10.56. Which is the nearest to 1?  (a) k  (b) -5\/4  (c) j  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + 26 - (23 + -30).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -51*f - 7. Let r(p) = 17*p + 2. What is -7*r(w) - 2*v(w)?\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 178*x + 7. Let o(d) = -d**2 - 8*d - 11. Let c be o(-5). Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aagg when four letters picked without replacement from agxaqwg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 - (1 + -4 - (-21 + 11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 3880?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174166752?\nAnswer: 2, 3, 1814237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (5 - 18) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-40)*2*(-5)\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.51899913 + 0.519. What is h rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 4*m**2 + m + 4. Let v(s) = s**3 + 18*s**2 - 19*s + 4. Let c be v(-19). Determine l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 15 = -4*a + 2*y, -15 = 5*a - 3*y. Suppose 0 = 20*c - 19*c - 2. Suppose a = c*z - 130. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of g**3 + 4*g**2 - 5*g. Let s be l(14). Suppose 0*v - s = -4*v - 4*t, -2*v + 46 = t. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*r - 105. Let v = 14 - 10. Is 27 a factor of (-65)\/v*(-14)\/r*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9.1 - -9. Let t = -0.005 - -5.005. Which is the nearest to 1?  (a) -5  (b) k  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2565)\/(-300))\/19)\/((-2)\/(-50)*-15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*d = 194*d + 74*d + 673*d - 104448 for d.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -m**6\/5 + 25*m**3\/6 + 11*m**2. Differentiate x(y) with respect to y.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-126)\/(-4)*(-4)\/(-3). Suppose 7*z - b = 4*z. Calculate the remainder when 25 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 - 19625846*r + 19625848.\nAnswer: -2*(r - 1)*(r + 9812924)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 3*x**2 - 4*x + 7. Give b(-4).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - h. Let y(a) = -3*a**4 + 2*a**2 + 2*a + 6. Suppose 3 = 4*l - 5. Let x(j) = l*f(j) + y(j). Find the first derivative of x(k) wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85 - 11*c**2 + 85)*(-10 - 8 + 4)*((-5 + 0 + 4)*(-4 + 0 + 1) - 1 - 4 + 6).\nAnswer: 616*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/22 and 65\/34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = q - 0. Let n be q - (-2 - 0) - 1. Let k(o) = 3*o**3 + 83*o**2 + 562*o + 40. Let h be k(-16). Solve n*z - 13 = g + h*z, 2*g = 4*z + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-17 - -18 - 12)) + -8 + -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**2 - 946*j - 3815. Give p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fu when two letters picked without replacement from uuuufuuuufu?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/547, -0.8, 5, 13, -13.2 in decreasing order.\nAnswer: 13, 5, -1\/547, -0.8, -13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k*k**11\/k)\/k))\/k**(1\/11)*(k\/k**(-9))\/(((k**(-2\/3)\/k)\/k*k)\/k) assuming k is positive.\nAnswer: k**(118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41008403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, s: 2, j: 2, z: 1, i: 2}. What is prob of picking 1 i, 2 j, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(3\/8)*s\/(s**(1\/7)\/s))**(2\/27))**(-26\/5) assuming s is positive.\nAnswer: s**(-325\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 36 - 3*d - 33 - 2*d. Let c(n) = -10*n + 12. Let s(m) = -m - 1. Suppose 20 = -0*z + 5*z. Let k(y) = z*s(y) + c(y). Calculate 8*g(q) - 3*k(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7854)\/(-189)*1 + -14 + -25.\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 28 = -7*w + 4*q, -2*w = -4*q - 12. Suppose w*g - 100522 + 8532 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**4 - 17 - 7*v**3 + 2*v + 4*v**2 + 20 - 2*v**2 to h*v**4 + z*v + b*v**3 + c + y*v**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17\/389 + -10924\/8169. Calculate the common denominator of d and -10\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -1998089*y. Let k(o) = -695*o**2 + 2. Give k(j(p)).\nAnswer: -2774689958085095*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*v + 37*v**3 + 2154*v**2 + 22*v - 36*v - 2154*v**2.\nAnswer: 37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 - -47. Suppose 3*n = 4*l + q, -2*n + 3*l = 2*n - 20. Let y(b) = 3*b - 3*b**n + b**3 - 3*b + b. Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1298.89386 rounded to the nearest 10?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2457\/(-189) - ((-32)\/4 - 0)) + 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-3) + 1 - 5\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + p**2 - 16*p + 2. Let a be s(0). Let h = -2\/18643 + -130317\/1715156. Let i = h - 4\/23. What is the nearest to -1\/5 in a, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -253\/8253 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14248 divided by 52.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12021002 + -1120022020?\nAnswer: -1202120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1976 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-45))\/(26\/(-12) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = y - 5*p - 10, -23 = -3*y + 2*p. Sort 1, y, -5, -4.\nAnswer: -5, -4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/((sqrt(108) - (sqrt(108) - (sqrt(108)*-6 + sqrt(108))))\/sqrt(9) - sqrt(12)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.07 in -15, -0.3, 1\/4, -9\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - 3. Let x(z) be the first derivative of -5\/2*z**2 + 3 - z - 1\/3*z**3. What is x(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -410, -190, 990, 3130, 6230, 10290?\n\"Answer: 480*l**2 - 1220*l + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 60, 120\/11, 0.1 in descending order.\nAnswer: 60, 120\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2595894752 >= -2595894753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + w + 20. Let f be s(5). Let a(l) = -l**3 + 2*l**2 - 2*l + 53. List the prime factors of a(f).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of a**5\/120 + 3*a**4\/4 - a**3 - 9*a**2. Let y(q) be the first derivative of v(q). What are the prime factors of y(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -7. Suppose 0 = -0*m + m - v. Suppose 0 = -p + 2*n + 1 + 6, -m = 3*p + 5*n. Which is the third biggest value?  (a) -1\/3  (b) -1\/2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {l: 1, f: 1, s: 1, m: 1, c: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010000 - -10000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5368174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**3\/3 - 28*p**2\/3 - 46*p - 36 = 0. What is p?\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -824ab070?\nAnswer: -824ab06b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*(p*p\/p**(-16))\/p*p**7\/p assuming p is positive.\nAnswer: p**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -264 + 263. Let i = 178 - v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1879543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 816*d - 2254 + 13631 + 1679 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 22  (c) -2.7  (d) -2\/13  (e) -8\/7  (f) -23  (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -15\/4, 683\/5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.5057295 rounded to 2 decimal places?\nAnswer: 4.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -o + 2*p, 2*p + 3*p - 20 = 0. Let x = 7 - o. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*t**2 + 6344*t - 1408.\nAnswer: -4*(t - 176)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4376661, -4376510, -4376359, -4376208, -4376057, -4375906?\n\"Answer: 151*k - 4376812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1831 - -1086. Let l = 764 + t. What is the greatest common factor of l and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -88400 * 457.\nAnswer: -40398800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4\/6 - 1505*a**3\/3 + 1504*a**2 - 4511*a\/3 + 3007\/6.\nAnswer: (a - 3007)*(a - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 + 23*v**2 + 14*v - 21. Let i be r(12). Suppose y - 87 = i*d, 4*y - 5*y + 79 = -7*d. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + -3)*154\/(-4). Let t = 41 + -59. Let g = 25 + t. What is the greatest common factor of g and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/(-5))\/(54\/72)*5\/(-2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - c6?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -2*b**2 - 7*b**2 + 3147*b**3 - 3*b**5 + 9*b**4 - 1573*b**3 - 1571*b**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 443445 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1032.826 + 1052.2. Let p = n - 19.2. What is p rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 5*j - 90. Calculate the greatest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 136\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (35\/(-21))\/(3\/(-27)). Let u = -10 + o. Suppose -1418 - 1287 = -u*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1160463583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**2 - 202918*v + 1217472 = 0.\nAnswer: 6, 202912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dc when two letters picked without replacement from cczgdgccz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37 and 1628?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z**2 - z**2 - 2*z**2 + (z - 5*z + 3*z)*(-2*z + 3*z - 2*z))*(7 + 0 - 3) + 3*z**2 + 0*z**2 - 2*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 + 10. Let j be 1*w*2\/(-4). Suppose j*z + 5 = -2*b, 15 = -4*z - z. Solve 0 = b*g + 20, -2 = -2*k - g - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*90\/36*313\/(-5). Let j = t - -323. Let o(y) = 5*y - 1. Calculate the remainder when o(7) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -273727.114 to the nearest 1000.\nAnswer: -274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 10 + -4 + 41 + -3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 149\/65, -11, -7, 0.2, -5.\nAnswer: -11, -7, -5, 0.2, 149\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/60867?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46 + -62. Let x = -20 + 13. Let w = x - j. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -539*d**4 + 236*d?\nAnswer: -6468*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(13) + -6*(1 + sqrt(13)))**2 + (2*sqrt(78))\/sqrt(6)) + (1 + sqrt(1300) + 0)**2 + (3 + sqrt(1300) + sqrt(1300) + 0 + sqrt(1300) - sqrt(1300)).\nAnswer: 288*sqrt(13) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1220 and 1496025?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12025\/12 + 1010. Find the common denominator of 76\/15 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 17, -9556, -1\/8, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 5 = -10*v. Suppose -v*w = -0 - 5. Which is smaller: -12 or w?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -5*n - 4. Let b be a(-6). What are the prime factors of (30 - 33) + -12*b\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26349668 - 0.8837\nAnswer: 26349667.1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51067885?\nAnswer: 5, 11, 53, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 57 - 60. Which is the second biggest value?  (a) -0.2  (b) t  (c) -0.1  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/4617 and 58\/109269?\nAnswer: 327807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1897 + -5.1897. Let j = -0.73 + 0.7. Let k = 0.27 - j. Which is the second smallest value?  (a) 2\/3  (b) k  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19*0.4\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 11*u**2 + u - 1. Calculate the remainder when s(-2) is divided by -81 - (50 - 61) - -87.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f**2 + 4640*f - 903272. Let n(l) = 4*l**2 - 3094*l + 602181. Let p(y) = -5*b(y) - 8*n(y). Solve p(g) = 0 for g.\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 246*g - 75*g + 940*g - g - 2*g + 2*g + (-4 + 3 - 1)*(-2*g + g - g) + (1 - 1 + 1)*(1 - 1 + 2*g) to the form b + k*g and give k.\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -6 + 17*m - 34*m + 22*m. Let o be (-4)\/(4\/(-5)) + -1. Does 14 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 2*b + 102 - 20, 0 = 4*b + 20. Let s be -12*12\/n - (-1 + 4). Solve -s*j + 3*j + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -48083 and -0.1.\nAnswer: 4808.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -104387 - -104382. Let n(f) = -2 - 2*f + 0 + 4*f. Let z(s) = -4*s + 4. Determine i*n(o) - 2*z(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + 6*v + 21. Suppose -10*o + 11*o + 3 = 0. Let s be b(o). Let c(q) = q**2 - 7*q. Let f be c(7). Solve 3*a - s = f, 0 = -5*u + a + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42157.5 millimeters in meters?\nAnswer: 42.1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -233313102 (base 4) to base 9\nAnswer: -327833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.19 + 0.01. Let q = b + -0.02. What is the smallest value in 2\/9, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b**2 + 4*b - 3. Let f(i) = 5*i**2 + 5*i - 4. Determine 3*f(w) - 4*q(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2612503758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.274?  (a) -1  (b) 11  (c) -4  (d) -697  (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32819706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3233 is divided by 231.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3920 is divided by 507.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bnnbbbbppbbbnqpnbbb. What is prob of sequence bb?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 2)*(6\/5)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2508 - 2502. Put -5, r, 12, -4, -1 in increasing order.\nAnswer: -5, -4, -1, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17050 (base 9) in base 14?\nAnswer: -43a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32648557 to the nearest integer?\nAnswer: 5714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2 + 4 = 0. Let t(d) = 5*d**2 + 2*d. Let r(n) = 21*n**2 + 9*n. Give k*r(p) - 9*t(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of 2*v**7\/105 + 22*v**6\/75 + 42*v**5\/25 + 14*v**4\/3 + 106*v**3\/15 + 6*v**2 + 155*v. Factor t(r).\nAnswer: 4*(r + 1)**3*(r + 3)*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 266*m**3 - 31*m + 30407?\nAnswer: 798*m**2 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 1191*k = 1195*k + 20, -3*u = k - 25 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11.1 + -11. Let l = 0.04 - 0.44. Suppose r + 2*j = -6, -2*r = 2*j + 1 + 1. What is the second biggest value in r, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7655 and -0.081.\nAnswer: 620.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.7 + -1. Let s = -73 + 70.2. Let x = -3 - s. Which is the third smallest value?  (a) -2  (b) k  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.1 - 596.86.\nAnswer: -602.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.041 - 0.359. Put -3, s, -2.4 in descending order.\nAnswer: s, -2.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**3 - 22*z**2 - 22*z - 25. Let s be a(18). Let c = 49726 - s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.7 + 15. Is j < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-4))\/((-24)\/1440*-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 204 + -144. Let r = 59.9999876 - t. Round r to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1382842 greater than or equal to -1382843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 11*x + 33. Let l be h(5). Suppose l*u = 15, 0 = 4*z - 0*z + 2*u - 10. Suppose 4*o - 36 + 16 = z. Solve 9 = o*c - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -4*q - 8. Let v be b(-6). Let a be ((-2)\/(-2505))\/(v\/(-771530)). Let t = a + -1\/2004. Calculate the common denominator of 48\/7 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 247740761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-4 - 0) - (-5 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 246978468 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 274213963 to the power of 1\/2, to the nearest integer?\nAnswer: 16559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o + 4. Let q be a(4). Let d(k) = 69*k - 3. Let g be d(7). Let t be (q - g)\/((-2)\/375). Round t to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 71*a**3 - 8*a**2 + 22*a - 5. Does 118 divide h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-68)\/(-170) + (-9)\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/s**(3\/7)*(s\/(s*s\/(s\/s**(-2\/5))*s))\/s assuming s is positive.\nAnswer: s**(-36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 315 + 27. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of t**4\/24 - t**3\/6 + t**2. Let d be 1 - 7\/((-7)\/(-58)). Let b = d + 57. Calculate g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssww. Give prob of picking 2 s and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 109*k**2 - 213*k - 372. What is q(-107)?\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(-5\/3))\/i**3*(i\/(i*i\/i**(-2\/9)))\/(i\/(i\/i**(-2)*i))*(i**(1\/4))**(2\/7)*(i**(-1\/2)\/i)**(-2\/45) assuming i is positive.\nAnswer: i**(-473\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 107253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2860*y - 14728*y - 2515*y.\nAnswer: -14383*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*d**2*o**2 - 2*d**2 - 249*d*o + 1391*d - 2 with respect to o.\nAnswer: 30*d**2*o - 249*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/519  (b) -4\/3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 11:08 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1121494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 4*a + 2*a - 58, -49 = -2*x - a. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 618 in 2\/15, 2\/3, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10186.4682 + -0.3.\nAnswer: 10186.1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3072*o**5 + 1787*o?\nAnswer: 61440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-2\/7)*y)**(13\/2)*y**(-2\/9)*y**(-7\/3)*y)**17)**(-21) assuming y is positive.\nAnswer: y**(-6613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2634 - 1194 = 120*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/1554 and 83\/444.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 18*h**2 - h + 7. Calculate the lowest common multiple of 3 and m(-18).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by -32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00030845 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 - 8084417634*t + 8084417634*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -5. Solve 0 = -5*d + l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 - -3 - 1 - -257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -18, 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -2370?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 7*a = 3*a - 73, -3*q + 5*a - 66 = 0. Let p(j) = 4*j**2 + 45*j - 2. What are the prime factors of p(q)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38855.98 years to centuries.\nAnswer: 388.5598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*4\/24 - 3\/6. Let d(u) be the second derivative of u**4\/12 + 41*u**2\/2 - 4*u. What is the remainder when 204 is divided by d(n)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 15*o + 19. Calculate k(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 543 is divided by (39*2)\/(15 + -14).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 335 - 1039 = 0. Let d = -18865 - -18887. Calculate the highest common divisor of f and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + h + 66 = 70, 0 = -31*j + 33*j + 4*h - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 4)*11\/((-220)\/(-35)) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 6:50 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k**42\/k)*k**(3\/4)*k*k**5\/k**(-1\/13) assuming k is positive.\nAnswer: k**(-1725\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + (-22 - -1) - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 5*r = -16. Let b be 6\/(-3) + r - 4 - -11. Calculate the highest common divisor of b and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -151381266 by 94.\nAnswer: -1610439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -28126.5034 - -80.6?\nAnswer: -28045.9034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**4 + 0*z**4 + z**5 + (0*z**3 - 3*z**3 + 4*z**3)*(3 - 3 - 2*z**2).\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykg when three letters picked without replacement from {g: 3, y: 1, h: 1, k: 1, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.65 - -2.3.\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/4 - 318*g - 4896.\nAnswer: -3*(g + 16)*(g + 408)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 10*f + 6 = 0. Let a(o) = 5*o**3 - o**2 + o. Let u be a(1). Sort 0, f, u in descending order.\nAnswer: u, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 18*p + 24. Give b(6).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**3 + 12*t**2 - 10*t - 19. Is k(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 6*f - 2*f)*(-2 + 2 + 2) + 3*f - 3*f + 4*f - 3 + 3 - 2*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 AM and 2:41 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.14 + 1.14. What is the nearest to 0 in 1\/3, -0.2, f, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -5. Let a be ((-27)\/p)\/((-7)\/140). Let s be a\/75 - 4\/(-10). Solve 5 = s*z + 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-201)\/67*((-5)\/6)\/(-5)*2. Which is the nearest to -2\/5?  (a) -4\/47  (b) 3  (c) -2\/21  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*b - 11. Let g = -16 - -14. Let q be (g\/2)\/(8\/(-40)). Solve b*p - 1 = -2*f, q*f = 4*p - 9*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368319667 a multiple of 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 10 - 2 = 0. Let f be (z\/15)\/(3\/15). Sort f, 0, 4.\nAnswer: 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 201 - 189.1. Let v = -12 + f. Let w = -0.06 - -0.01. Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9265615 - 9265615 + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -434 (base 7) in base 16?\nAnswer: -dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 18174 = -2*b + 18190, -3*b = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 162340364 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide (-2352)\/(-8)*(532\/24 + (-1)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.1*-39118499\nAnswer: 43030348.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -7\/13  (b) 0.2  (c) 2\/15  (d) 3\/4  (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 153489 and 546?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from drrbbbgybudd?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.929284l in millilitres?\nAnswer: 9929.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -2\/7, 0.06 in descending order.\nAnswer: 0.06, -2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 297227 + -0.01?\nAnswer: 297226.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 95461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/g**7)**18)**(-49))**(-33))**(-25) assuming g is positive.\nAnswer: g**4365900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 643741?\nAnswer: 643741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence br when two letters picked without replacement from brrwtrrxtrxttrrr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.2 - -5.2. What is the closest to 1\/4 in f, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -202*n - 5480 - 1186 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*q - 46*q + 29. Let i(t) = 7*t**2 - 1. Calculate i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from iiidvvvdidddvdvdv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19817.\nAnswer: 7, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 10. Let n = 11 - o. Let p(f) = 6*f - 48. Let m be p(9). What is the greatest common divisor of m and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -4*n**2 - 2 + 3*n + 2*n**2 + 21*n**3 - 4*n**2 + 5*n**2. Let h be u(1). Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 299 and 4094?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p\/(p**5\/p))*p**(1\/15) assuming p is positive.\nAnswer: p**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 24*k**2 + k. Let a = -16 - -28. Let b be 3 + ((-3)\/4 - 15\/a). What is the units digit of n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n + 6, 43*n - 47*n = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4104411 weeks to minutes.\nAnswer: 4137.246288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 4. Let h = x + 18. Calculate the highest common divisor of 84 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3708 + -3700. Solve 4*c - n = 3 - j, 4*c - 4*n = -8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 355713734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + b = 5*g - 40, -4*b = g + 1. Suppose 12*w = -8*w - 3*w. Solve -2*j - g + 1 = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 8:59 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 + 17*o**2 + 19*o - 11. Let h be f(18). Solve 3*v + 19 = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**3 + 67*u**2 - 95*u - 18. Let j be d(32). Let y = -4 + 17. Solve -y*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71559 is divided by 10219?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -272478\/37 > -7364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137086, -136507, -135928?\nAnswer: -135349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/2)*j*j**(2\/21))**(-3\/5)\/(j\/(j*j**2)*j*j**(-3)*j*j*j\/((j*j**(5\/4)\/j)\/j)*j**(-4)) assuming j is positive.\nAnswer: j**(601\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -11, 1\/6, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*f**5 + 7*f**5 - 5*f**5 + 0*f**5 + 2*f**5 - f**5 + (-f**3 + f**3 - f**3)*(-f**2 - 2*f**2 - 3*f**2).\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of o**3\/3 - 5*o**2\/2 - 6*o + 68. Factor t(j).\nAnswer: (j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.23, 4\/25, -2\/8033 in decreasing order.\nAnswer: 4\/25, -2\/8033, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*sqrt(110)*6 - -2*sqrt(110)*1))\/((1*sqrt(1210) + sqrt(1210))*-4 + sqrt(1210) + 3*(sqrt(1210)*1 - sqrt(1210))).\nAnswer: -24*sqrt(11)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*h**2 - 1 + 4*h**2 - 104*h**3 - 19*h + 19*h.\nAnswer: -104*h**3 + 17*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 321*l = 339*l - 18. Let p = 20 - 12. Let c be 1*(p\/4 - l). Solve q - c = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*k**3 - 19*k**3 + 9*k**3 + 21 - 39*k**3 wrt k?\nAnswer: -165*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + (-5 + sqrt(1088) + 4 + sqrt(17) + (3*sqrt(34)\/sqrt(2))**2 + (sqrt(2057) + 2*sqrt(2057))**2)*3).\nAnswer: 135*sqrt(17) + 279965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 474084984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 less than -4006.4874158?\nAnswer: -4006.5174158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.298 - 0.29799821. Round a to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11120002 (base 3) to base 6\nAnswer: -23215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 346 divided by -9\nAnswer: -346\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/782132 and 34\/5607.\nAnswer: 49274316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5858266 is divided by 2591?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -510 divided by 440?\nAnswer: -51\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2 + sqrt(539) + 1 + sqrt(539) + -4*(sqrt(539) - (sqrt(539) + 1 + sqrt(539))) - (sqrt(539)*2 + -3 + -1 + sqrt(539) + 5)))**2.\nAnswer: 462*sqrt(11) + 4972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 20412*m - 1694194. Let a be y(83). Let b = -1\/3 + 1. Determine k so that -b*k**2 + a*k - 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*n = -11904 + 3688. Calculate the highest common divisor of 2197 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8395 is divided by 1390.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = 16*b - 624. Suppose 0 = b*u - 9643 + 194443. What is u rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -7  (b) 221  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/36 and -59\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -13 + 9 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1242 and 22977.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -70851.786 rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 4, -13*d = -3*c - 12*d + 304. Solve -52*u + 2*u = -c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of y**5\/60 + 2*y**2. Let b(a) = -19*a**2 + 8*a. Let f(h) = 6*h**2 - 3*h. Let w(n) = -3*b(n) - 8*f(n). What is w(i(r))?\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 44 = -2*c + 2*j, 3*c = -3*j - 60. Let h(o) = -6*o - 16. Let u(k) = k + 3. Suppose -2*s - 4*p + 13 = -5*s, -p - 11 = 4*s. Give c*u(d) + s*h(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -272*z + 5 + 531*z - 230*z. Let j(m) = 15*m + 3. Determine -7*j(h) + 4*x(h).\nAnswer: 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 - 21 = 3*f. Let s be (-14)\/(f\/45)*(-4)\/(-6). Solve 7 = s*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Are 7 and 7 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i + 50. Let n be j(13). Let c be n\/(1\/((125\/(-10))\/5)). Let g(q) = q**3 - 4*q**2 - 2*q - 4. Determine g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 61 + 9\/((-18)\/8). Let s = 104 + u. Calculate the remainder when s is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is ba - 449aa?\nAnswer: -448b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y**3 + y**2 + 2*y + 3. Let a be -3 - ((-40)\/5 + 3). Let j(h) = -3*h**3 + h**2 + 2*h + 2. What is a*s(x) - 3*j(x)?\nAnswer: x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18*g**2*l**4 + 899773*g**2*l**2 - 997196*g*l**4 + 31*g*l wrt l?\nAnswer: -432*g**2*l - 23932704*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uweufufuuffuue. What is prob of picking 1 w and 1 e?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) 1  (c) -2819\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -238 by 1317.\nAnswer: -238\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -2\/3*u**3 + 19 + 2\/5*u**2 + 0*u - 7\/10*u**4. What is h in o(h) = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 184941, 369878, 554815?\nAnswer: 739752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100010000001 (base 2) in base 3?\nAnswer: 22121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -397*w = -395*w + 12 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 30074*c**2 - 180*c - 179. List the prime factors of d(-1).\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3189 + -0.8189. What is the third smallest value in d, 0.1, 0.3, 115?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -59 + 8164071?\nAnswer: 8164012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.3774123 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8658*r + 3 + 20*r**4 - 8658*r + (-2*r**3 + 2*r**3 + r**3)*(-r + 3*r - 4*r).\nAnswer: 18*r**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 3*c - 68 + 5, 5*c = 0. What is the remainder when 51 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) + 7\/4. Let a(y) = -y**2 + y - 6. Let t(k) = -3*k**2 + 3*k - 17. Let r(q) = -17*a(q) + 6*t(q). What is r(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 11:25 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9162331 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 277817*x + 24*x**2 + 277943*x - 555760*x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 904639932 a multiple of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**5\/3 - 812*v**4\/3 - 4730*v**3\/3 + 27904*v**2\/3 - 38360*v\/3 + 16000\/3 = 0.\nAnswer: -400, -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/2857 and -46\/7?\nAnswer: 19999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 7*r - 11. Let o(f) = 4*f - 6. Let l(v) = 5*b(v) - 9*o(v). Determine l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (5 + 5 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 7*i + 58. Is t(12) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -4*-2*sqrt(75).\nAnswer: 5 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 10:01 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 - (-1 - 1 - (-562 + 581)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.9 - 0. Let m = 2.3 - b. Let f = 3.2 - m. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -408*f - 213*f**2 + 639*f**2 - 216*f**2 - 974 - 213*f**2 with respect to f.\nAnswer: -6*f - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2221 - -4737. Let i be -2 - (-2 - -1 - p). Let r = i + -1258. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81624 divided by 27208\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 - 9. Suppose 3*m = j - 15, 5*m + 21 + 12 = -j. Let l = m + f. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 1:49 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1400409931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3975, -7949, -11937, -15945, -19979, -24045?\n\"Answer: -m**3 - m**2 - 3964*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 4*p + 1. Calculate d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 219352 is divided by 109673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 12*c - 14. Let v(o) = 4*o**2 + o. Determine v(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 10 + 0 + (-87 - (89 + -141))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 14. Suppose -4*i + n = 4*n - 43, 4*i - u*n = 36. What is the units digit of 168\/i + 4\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 7. Let p = t + -3.4. Let z = -3 - -3.5. Sort 0, z, p.\nAnswer: p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**4 - 5543052*s**3 + 3840667098186*s**2 + 15362823598520*s - 46088271245400 = 0?\nAnswer: -6, 2, 1385765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 558223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from rrmmxxrpmxx.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - 7. Let p = m - 8. Find the second derivative of -4*b + 0*b + 10*b**p + 8*b wrt b.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2509, -2699, -2961, -3259, -3557?\n\"Answer: 6*l**3 - 72*l**2 - 16*l - 2427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4809 - 4790. Solve -12*h = -l - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 325*n**6 - 47917*n**4 - 4*n**2 + 132*n - 81797?\nAnswer: 39000*n**3 - 1150008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 478*c*r - 12*c*z**2 - 345*r*z**2 + 38*r*z + 2*z**2 wrt c.\nAnswer: 478*r - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 136 + -135.7978. Let n = -0.0022 + y. What is the nearest to n in -84, 0, -1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaawfpaiaawiwpaao. What is prob of picking 1 w and 1 o?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -33*d**3 - 36*d**2 + 21*d - 13. Let i(q) = -8*q**3 - 9*q**2 + 5*q - 3. Let o(r) = 26*i(r) - 6*n(r). Determine v so that o(v) = 0.\nAnswer: -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -6*t - 135. Let k be h(-23). Factor 113*a**4 - 109*a**4 - k*a**2 + 2*a - 2*a - a**2.\nAnswer: 4*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18317 + -17943. Solve 401 - r = 9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 - 61. Suppose -j*t - 5*z - 20 = -5*t, -4*z - 16 = 3*t. Let s = 7 - 5. Solve s*m + t*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 46\/322 + 566\/7?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33\/20, 5, 10\/11, 1\/5, 81, 1\/2 in descending order.\nAnswer: 81, 5, 33\/20, 10\/11, 1\/2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13506078 and 4194.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of y**2 - 2. Let z(j) be the second derivative of 4*j**4 - 15*j + 21. Give i(z(l)).\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10099, -5406, -713, 3980?\nAnswer: 8673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 502*h**2 - 24972*h + 189. Determine q(-56).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3059 - 3059. Solve -2*u + 5*n = 4*n - 4, x = u - 4*n - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucpupppappcpccpv. Give prob of sequence ua.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4 + -3)*-8*-11 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 13*j. Let x be 4\/((-5)\/(-260)*4). Suppose -4*z = 24 - x. Let g(v) = -19*v. What is z*k(o) + 5*g(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 105?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 1058 = -2*w, 147*h - 145*h = -2*w + 2080. What is the remainder when h is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 14 + 16 = 0. Suppose 4*z + 2*m - 732 = 0, -3*m + 555 = -o*z + 9*z. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 11*j + 157. Let b be l(17). What is the highest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*m**4 + 132*m**3 + 12*m**4 + 17*m - 84*m**2 - 71*m**4 + 24*m**5 + 3*m = 0 for m.\nAnswer: 0, 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*o + 0*o - 3*o)*(3 - 4 - 1) - 10*o + 7*o - 17*o + 2 to the form i + p*o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 73, 101, 125, 145?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -320 - 2?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1856019943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + 5. Let b be (p\/10)\/(8\/20). Is b\/(-10) + (-572)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 = 0, 2*f = -3*f + 5*k + 80. Suppose -3*c - f = 9. Is (-22)\/c*(-4 + 32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ycycyocdycocqqqc. What is prob of picking 1 q, 1 c, and 2 y?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**3 - 148*z**2 - 126*z + 1462. Calculate c(-73).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -m + 39, -21 = z + 3*z + 5*m. Let s = 10 + z. Let u(o) = -2 + o**3 + 14*o**2 - 8*o**2 - s. Give u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**2 - j**2 + 3*j**2 + (j - j - 4*j**2)*(-3 + 3 - 3).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 499541929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 371157 is divided by 93.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 11:06 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_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: What comes next: -289, -236, -149, -28, 127?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 8, -1, -2 in descending order.\nAnswer: 8, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88 - -91. Let n be 2*(-5)\/10 + u. Calculate the greatest common factor of 14 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*c - 13 = 2*h, -2*h = c + 2. Let a(w) = w**2 + 1. Let b(f) = -3*f - f**2 - f - 4*f**2 - 8. Let d(o) = h*b(o) + 4*a(o). Determine d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*a**2 + 6496872*a - 219840342627 = 0 for a.\nAnswer: 270703\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2560) - ((1*sqrt(2560) - sqrt(2560)) + sqrt(2560))) + sqrt(40))\/sqrt(5)*-2)\/(((2*sqrt(240))\/sqrt(5))\/(sqrt(192)*1)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -598, -1193, -1788?\nAnswer: -2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3257094 rounded to the nearest one thousand?\nAnswer: -3257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -104, -37, 4\/7, -1\/2 in increasing order.\nAnswer: -104, -37, -5, -1\/2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + v + 46, 0 = -4*o + o - 4*v - 31. What is the common denominator of ((-25)\/42)\/((-1)\/9) and 2\/o*148\/(-16)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + 2)\/(8\/(-3)). Let x = 3 + -4. Is y != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -545*t + 1655*t - 547*t - 545*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -5. Is 6 a factor of u + (52\/2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 2*o - 8. Let a be v(6). Let g = -343 - -487. Calculate the greatest common factor of a and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + v - 21 = 0, 62 = 2*o + v + 49 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5082 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -399 + 993 + 804 + 3*a**2 + 3*a**2 to the form j + i*a**2 + c*a and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1907, 2277, 2657, 3053, 3471, 3917?\nAnswer: 4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of 7*j**6\/30 - 41*j**5\/30 + 10*j**4\/3 - 13*j**3\/3 + 1754*j**2 - 2*j + 2. Factor h(k).\nAnswer: 2*(k - 1)**2*(14*k - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0731927 and 11256761.58?\nAnswer: 11256761.6531927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 (base 10) in base 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57\/(-76))\/((-7)\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.4, -2, 0.8, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 113.147 - 0.147. Is 1\/4 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*s + 32*p - 34*p, -48*s - 2*p - 26 - 22 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**2 + 12*h - 9. Determine k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -2249 and -2252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213 - 116 = 5*m + 3*u, m - 25 = -2*u for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 61779*r + 3*r**2 - 61752*r + 123503*r.\nAnswer: 3*r**2 - 28*r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 8:40 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -15143*o - 2407748. Determine p(-159).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -15*w + 112. Let d(f) = -3*f**2 + 31*f. What is d(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000888892 rounded to seven decimal places?\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 40 = 2*p, 20*p - 239 - 131 = 176*u - 181*u for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 8 + 2 + (3 - 4 + 4)*(2 - 3 - 1))*(-b**3 - 6*b**3 + 3*b**3) as a*b**2 + k*b**3 + r*b + n and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 277 (base 14) to base 5.\nAnswer: 3442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29482 is divided by 7353?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 - (-632)\/108)*(-3)\/6. Let q(s) be the first derivative of 5 + p*s**3 + 2\/9*s - 2\/9*s**2. Suppose q(l) = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -71?\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -516, -321, 4, 459, 1044, 1759, 2604?\n\"Answer: 65*x**2 - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + l + 1. Let c = 2 + -3. Let o be n(c). Let h(x) = -3*x + 2. Let w be h(2). Put o, -5, w in ascending order.\nAnswer: -5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1706869?\nAnswer: 1706869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 18*i. Let d be a(18). Suppose -6*r + 164 - 38 = d. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 7*x**2 + 10*x - 83. Determine s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1350717 from -1.\nAnswer: 1350716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 105 - 106. Let c be ((-54)\/(-27))\/(f + (-5)\/(-7)). Let p(t) = -t**2 - 9*t - 2. Calculate p(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**3 + 4*p**2 - 12*p. Let v(h) = 3*h - 5. Let n(q) = 4*q - 7. Let d(i) = 5*n(i) - 7*v(i). Let u(m) = 12*d(m) - o(m). Solve u(z) = 0 for z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.6999941 - -4.7. Round u to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 42822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 735365 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-16) - (-956)\/32. Let h = g + 7. Let n = h - 35. Solve n*w + 10 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*w = 12, 3*w + 16 = s - w. Suppose 0 = -7*t - 2 - 5. Let n be 51\/(-9) - -3 - t. What is the closest to -1 in n, s, 1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 183958, 367914, 551870?\n\"Answer: 183956*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.11 + 0.91. Let u = x - 0.3. Let y = -1663139\/21 + 79197. Which is the nearest to 1?  (a) u  (b) 0  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493945260 to the power of 1\/2, to the nearest integer?\nAnswer: 22225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 21. Let b be 1\/4*(t + -4). What is the second derivative of b*a**5 - 3 - a + 3 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 17. Suppose 0 = -5*a + l - 2. What is the units digit of (a + 0\/3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202 (base 3) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0045 and 0.0732.\nAnswer: 0.0003294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 714 = 10*p. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence de when two letters picked without replacement from {e: 4, g: 2, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*((-2)\/(-1))\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/z**1)*z**1)\/(z**(-2\/7))**11)\/((z\/(((z**2\/z)\/z)\/z*z))\/(z\/((z**(3\/7)*z)\/z))*z*z**0*z**(2\/15)) assuming z is positive.\nAnswer: z**(376\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 7.01. Let j = -0.41 - f. Which is the second biggest value?  (a) j  (b) 3  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 - 34 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -127, 5024, 13601, 25598, 41009?\n\"Answer: -z**3 + 1719*z**2 + z - 1846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 2*a + 2*a**2 + 0*a)*(0*a**2 + 2*a**2 - 7*a**2)*(-1 - a + 1).\nAnswer: 10*a**5 - 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 - -18. Let r = l + -4. Suppose 0 = -4*h - 0*p - 2*p + 40, 2*p + 37 = r*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x = x - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*v + 32*v - 152 = -a, 0 = 2*v - 5*a + 67 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 780 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3, 2, 9, 30, 71, 138, 237?\n\"Answer: x**3 - 2*x**2 - 2*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2255 + -5015245?\nAnswer: -5012550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 7*c + 28. Let s be j(-12). Let o = s - -58. Let m(q) = -58*q**2 + 23*q**o - q**3 + 25*q**2 - 9*q + 12. Give m(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. What is the third derivative of 0*m**k + 3*m**2 + 4*m**3 - 2*m**2 - 6*m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1700625 (base 8) in base 14?\nAnswer: cb3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of -z**4\/20 - 3*z**3\/10 - 3*z**2\/5 - 14*z. Determine a so that w(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*q**3 - 6*q**2 + 588 - 4*q**3 - 3*q + 5*q + 0*q**3 - 586 in the form d + u*q**2 + k*q + p*q**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*v**2 + 38*v**2 + 21*v**3)*(-2 - 3 + 4 + 15*v).\nAnswer: 315*v**4 - 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express ((i - 4*i - 4*i)*(-3 + 2 + 3) + 0*i + 2*i - i)*(-12*i**3 - 189*i + 189*i) as u*i**2 + q*i**4 + y + f*i + h*i**3 and give q.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 4*o + 1 - 2*o**2)*(-7*o**2 + 10*o**2 - 7*o**2).\nAnswer: 8*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 17 + 44. Is k >= 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-42.6\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 3*a + 18, -3*p - 43 = a - 3*a. Let n(d) be the second derivative of -d**3\/6 + 11*d**2\/2 + d. What are the prime factors of n(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o = 4*o - 11011. Calculate the remainder when o is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-2))\/((-1)\/(-2)). Let z(h) = 0 - b + 3*h + 1. Let f(i) = 2*i. Calculate f(z(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -21  (c) 1\/4  (d) -1\/6  (e) -2\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 595 and 3755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1.254, -11, 0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/15228 and -85\/36.\nAnswer: 15228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/(-30))\/(4 + 244\/(-27) + 5). Let f(n) = -n**3 - 8*n**2 + 8*n - 34. Calculate f(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 42*p**2 + 42*p + 182. Let a be y(-41). Suppose 2*g - a = -91. Solve 0 = -7*h + g - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1062461 (base 8) in base 16?\nAnswer: -46531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oackhcaxh. What is prob of sequence hx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(132) + (sqrt(132) - sqrt(132)*-1))\/sqrt(12) - sqrt(11))**2 + sqrt(99)\/(sqrt(9)*-1) + sqrt(66)\/(sqrt(24)\/sqrt(4)*-2).\nAnswer: -3*sqrt(11)\/2 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 4. Suppose 0*k - y = -k. Let l be k + 1 + (-3)\/1. Solve l*m = -1 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {f: 3, v: 4, j: 2, h: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + a + 27 = 0, 1797*c + 4*a = 1673*c + 1344 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t + 2*l - 10, -2*t + 3*t + 3*l = 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 3*m - 81, m - 14 = -11. Suppose 42*j - 738 = a*j. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-47)\/(-12))\/(1400\/(-2240)))\/((-57)\/9 + 6)?\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**3 - 24*h**2 - 26*h - 3. Let n be 90\/63 + 243\/21. Determine r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1709.025km to millimeters.\nAnswer: 1709025000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 1834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 11200 = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 0) + (3 - 6). Let a be m\/(-10)*1\/3. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 PM and 3:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8910227.\nAnswer: 17, 131, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*n**2 - 16*n**2 - n - 4*n**2 - 27*n wrt n.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1172 from -1128.754616.\nAnswer: -1128.637416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(3600))\/(-3*sqrt(180)) + 0.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14547 and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 64601684 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*q - 18*q - b = 1, -19 = -5*q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4736 times 0.3?\nAnswer: 1420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qddmdymqy. Give prob of picking 2 q and 1 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 19*a**2 - 11*a + 43. Let c be z(-18). Let q = c + 85. Solve 6*n + 4 = q*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 plus -16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 112 - 94 = 0. Let t(j) be the first derivative of -3\/20*j**5 + 0*j - 2*j**3 - 3\/2*j**g - 15\/16*j**4 + 4. Factor t(b).\nAnswer: -3*b*(b + 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + -2. Let g = 18.7 - -116.3. Let y = g + -131. Which is the second smallest value?  (a) h  (b) -4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 11:36 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 996*r = 934*r - 1495 + 255 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c**3 - 3*c**2 - c - 2. Suppose 2*n - 2*g = -0 - 2, -g - 11 = 3*n. Is s(n) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 455755926 greater than 455755924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 61*q**4\/4 + q**2 - 42*q - 125. What is the second derivative of y(j) wrt j?\nAnswer: 366*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8527 < 8527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*v - 2020020 = -4*c, 5*v = -5*c + 5050025. Round v to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3555478?\nAnswer: 2, 23, 37, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 4:53 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -15*v - 205. Let c be i(-14). Let j(n) = -45*n - 1. Let x be j(-2). What is the hundreds digit of x\/(c*3\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11.8989 - -0.0411. Let h = 0.27 - -12.73. Let u = h - j. Round u to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33333298 is divided by 83752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 85487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -3*p - 4*y, p - 10 = 4*y - y. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -453 + 708. Let o = x - 254.9999768. What is o rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140883 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -884*y + 332. Determine m(5).\nAnswer: -4088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 - -5. Let b = u + -4.399999. Round b to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 23, 5, -1.\nAnswer: -1, 5, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 537 - 7*c**2 - 1094 + 557.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41*a - 27*a + 30*a + 5 + 34*a)*(a - 4*a + 5*a) as k + l*a**2 + t*a and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 - 5)*(2*a + 0*a + 0*a)*(9 - 11 - 3)*(8 - 8 + 7).\nAnswer: 700*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 45\/4 of a hour?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47157 or -107\/11?\nAnswer: -47157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 11) + 7 - (-4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h = 24*h + 216. Let k(v) = -v**3 - 5*v**2 + 7*v - 5. Give k(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 y, 1 b, and 1 l when four letters picked without replacement from ppylppbpppyppbpbxpp.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of -y**5\/20 - 5*y**4\/6 - 5*y**3\/3 - 9*y**2\/2 + y. Let r be p(-9). Suppose 3*z + 58 - 253 = r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cczqizrr. What is prob of sequence qzic?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 860 - 780. Do h and 77 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10336 is divided by 1867.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2891 (base 16) to base 9.\nAnswer: 15218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {p: 4, f: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 540\/1989 + 3\/(-102)*4. Sort 0, 9, i.\nAnswer: 0, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {b: 5, x: 1, j: 2, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 95764.55ug?\nAnswer: 0.00000009576455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of -n**4\/12 + n**3 - 2*n**2. Let w be g(4). Let k be w*(14\/(-4) - -3). Solve 4*b + 3*t + 3 = 0, -2*b - k = -3*t + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*k + 17*k - 1836 = 56*k for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5\/4  (b) -5  (c) -0.3  (d) 0  (e) 5  (f) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1442719639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*s**3*u**2 - s**3*u - 16*s**3 - 2768*s**2*u**2 + 6*s*u**2 + 14*s*u - u**2 - 4*u wrt u.\nAnswer: 18*s**3 - 5536*s**2 + 12*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/1415412 and 47\/1651314?\nAnswer: 9907884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7594 or 758?\nAnswer: 7594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7432.6 * -46.\nAnswer: 341899.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 275075953 to the nearest integer?\nAnswer: 16585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 131\/16 + -8. What is the common denominator of z and -119\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 833 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (28\/6)\/(4\/6). Suppose -8*p + b = -1. Let y be 5 + (-7 - (p + -3)). Solve y = -3*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -16573.76 and -4.34.\nAnswer: -16578.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 6:57 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -17*v + 12*v, 0 = -p + 4*v - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 13880 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**(1\/7)*n*n\/n**(-2\/13)*(n**(-1\/3))**(-19)*(n**2)**(-10\/11)*(n*((n**(2\/5)*n)\/n*n)\/n*n)\/(n**(-2\/3)\/n) assuming n is positive.\nAnswer: n**(59452\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.53 + 0.5. Let f = k - 0.07. What is f rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2808381482 to the nearest integer?\nAnswer: 52994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) - (-1*sqrt(2736) + -1 - sqrt(2736)))) + -2 + sqrt(2736)*1)**2.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -25*q**6\/6 + 18*q**5 + 10*q**4 + 284. Factor g(x).\nAnswer: -5*x**3*(x - 4)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 1. Let o(y) = y**3 + 5*y + 4. Let z(q) = -q**3 + 5*q**2 - 6*q + 7. Let k be z(4). What is k*o(h) + 4*c(h)?\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-1)\/m)**(-28)\/(m**(2\/15)*m*m*m\/m**(-1)*m)*(m*m*m*m**1*m)**(8\/7)*m**(-2\/9)*m*m*m**(-2\/3)*m assuming m is positive.\nAnswer: m**(848\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, u: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*h - 42 = 0, 3*j - 4*h + 0*h = 7. Suppose 4*o - l - j = -0*l, 0 = 2*o + 3*l - 15. Solve o = -3*g + 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 3, p: 3, m: 1, k: 2, a: 3, q: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*s + 2. Suppose 5*i = -15, s*q + 4*i = 2*q + 224. Which is greater: 117 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {r: 1, x: 2, d: 5, t: 1, s: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -88 - -148. Suppose 8*r - b = 6*r. Let x = -9 + r. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 - 550\/(-125))\/((-2)\/(-755)). Let u(i) = -i**3 + 4*i**2 - 2. Let q be u(2). Suppose -q*y = -565 + c. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4628703 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t**3 - t**2. Let u(h) = 5*h**2 + 0*h**2 - 4*h**2. Let l be u(-1). Let q be c(l). What is the second biggest value in -5, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/(-6)*-40*(-17)\/(-102). Let l(m) = -m**2 - 5*m - 4. Let t be l(-3). Let z be (-61 + 1)\/(t\/(-11)). What is the greatest common factor of q and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 5*c + 9. Let w be a(6). Suppose -2*y - 2*g = -3 + 17, g = w*y + 13. Let n = -8 - y. Sort 8, n, -4.\nAnswer: -4, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*v**2\/2 - 2964*v - 65571\/2 = 0. Calculate v.\nAnswer: -11, 1987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*g - 5*g - 162*g**2 - 12 + 147*g**2 wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 511611063 to the nearest integer?\nAnswer: 22619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10363 + -10352. Let f = -34.5 + 35. Which is the second smallest value?  (a) f  (b) t  (c) 0.3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(-4))\/(48\/21600). Which is smaller: n or 226?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-2))\/(15\/(-54)*-9)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -4. Let y be (-33)\/180 + (-2)\/(-8). Let j = -21926 - -21927. Which is the closest to s?  (a) 5  (b) j  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(108) + 3 + 4.\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 468067 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*s - 29*s + 55*s = -71 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000340925977 to 7 dps.\nAnswer: 0.0003409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*c + 513 + 18681. List the prime factors of c.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48494 + 48496 + 48492 + 9*p + 48495 - 193977.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16635 and 227385.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8752 is divided by 1917?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (1 + sqrt(7))**2 - sqrt(7)) + 1 - (sqrt(343) + (0 + sqrt(343))**2 - sqrt(343)).\nAnswer: -350 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 96, 133, 192, 273, 376?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*d - 14 - 16*d - 21 + 7*d wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5+-3.28\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11117856 is divided by 158.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of n**9\/252 - n**5\/10 - 4*n**3 + 3. Let s(y) be the third derivative of c(y). What is the second derivative of s(o) wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53703 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 - 26 = -13*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/2, 92, 4\/3, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 4 - 32 + 2*i.\nAnswer: 2*i - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -227073.4616 to the nearest 10.\nAnswer: -227070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 448379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1561, -7122, -16391, -29368, -46053, -66446, -90547?\n\"Answer: -1854*y**2 + y + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3270?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3 + 4*t**3 - 2*t**3 - 3*t + 0*t**3 - 3*t**2. Determine j(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 626052, 2504380, 5634978, 10017846?\n\"Answer: 626135*l**2 - 77*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*o + 2892 - 368, -2*q = 4*o - 5018. List the prime factors of q.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 4*i**2 + 4*i - 7. Calculate v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f**3 + f**2 - f. Let k be b(1). Sort 2, -5, k in increasing order.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**0*r*r)\/r)**27*(r*r*r\/r**(1\/4))**16)\/((r*r**3)\/(r*r**1*r))**(-2\/61) assuming r is positive.\nAnswer: r**(4333\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w**3 - 7*w**2 + 6*w - 20. Let n be p(-5). Suppose -n = 2*z - 49. Calculate the least common multiple of 33 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -100 + 256 - (24 + -3).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 + 0.3. Let k = a - 1. Let y = k + 1.1. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*m**2 - 9*m**4 - 6*m**2 + 8*m**4 - 4*m as a*m**3 + g*m + o*m**2 + y*m**4 + w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3976 and 2128651?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 967\/206 + 5488397\/7210. Let g = -766 + q. Let x = g - -8\/35. Which is the second biggest value?  (a) -1  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 7 - (6 - (12 + 4 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 9:01 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3589*f - 24 = -3591*f + 4*l, 3*f + 2*l - 28 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.021, -0.3, 9, 6, -6\/41, -4 in decreasing order.\nAnswer: 9, 6, 0.021, -6\/41, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**5 + 6*v**4 - 12*v**3 - 52*v**2 - 54*v - 18.\nAnswer: 2*(v - 3)*(v + 1)**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 389*q + 25 - 41 + 16 to l*q + a and give l.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/88)\/(4\/8). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.094761534866813 less than 0.7?\nAnswer: 0.605238465133187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 310 - 310.1. Let f = 0.034 + z. Which is the smallest value?  (a) -2  (b) -5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -82129 * 6.\nAnswer: -492774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**3 + 3 - 3)*(s**2 + 0*s**2 - 2*s**2) + (-7*s**4 + s**4 + 2*s**4)*(-4*s + 2*s + 0*s) + (-4*s**2 + 0*s**2 + 2*s**2)*(48*s**3 - 3*s**3 - 11*s**3).\nAnswer: -56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 5*u**2 + 2*u - 9. Let l be h(-4). Let r = -67 + 62. Which is the closest to l?  (a) -0.2  (b) r  (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1287625\/6 + 215380. Let a = d + -784. Find the common denominator of 49\/18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4516*a**4*m*t + 7*a**3 - 2*a**2*m - 6*a*m*t + a - m*t - 234*m + 1 wrt a?\nAnswer: 54192*a**2*m*t + 42*a - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1*62.4\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(204)*-4 - (sqrt(204) - (sqrt(204) + sqrt(204)*2))*4)\/(-3*(4*-2*sqrt(12) + sqrt(12))).\nAnswer: 4*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 8*n**2 - 7*n + 8. Let h be r(-7). What is the second derivative of 6 - 224*p**2 + 224*p**2 + 39*p + 106*p**5 - h wrt p?\nAnswer: 2120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52*12\/(-112) + 830\/581.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1691914757?\nAnswer: 13, 130147289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4915, -4749, -4583, -4417, -4251, -4085?\nAnswer: -3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -12a3e1 (base 15) to base 6\nAnswer: -31104421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11448 + 37540?\nAnswer: 26081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -5*r + 29, -2*r - 3*f = -2*f - 13. Let n(g) = -g**3 + 6*g**2 + 2. Calculate n(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 273194244 + 2.3.\nAnswer: 273194246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -5521, 1, -3, 3, -5, 2 in decreasing order.\nAnswer: 24, 3, 2, 1, -3, -5, -5521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50.25 + -50.35. Which is the closest to v?  (a) -24.2  (b) 0.4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5695503 (base 10) to base 11.\nAnswer: -3240130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 1517*b**2. Let h(u) = 7*u. What is m(h(d))?\nAnswer: 74333*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 6) in base 5?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, e: 5, y: 6, m: 4}. Give prob of picking 3 m.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28173727*q**2 + 28173487*q**2 + 3*q**3 + q**3 to i*q**2 + a*q**3 + l + h*q and give i.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 46301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1284540551?\nAnswer: 7, 1753, 104681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6.5804462 and -0.04.\nAnswer: 0.263217848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/20)\/(3\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -273031775 + 273031660.999927. Let h = v + 114. Round h to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + 4*u + 4. Let w be t(4). Suppose -4*a + 3*h = -2*a + 25, 0 = 4*h - w. Let p = -6 - a. Solve 2 = -o - 2*r, -p*o + r = -3*o - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 1. Suppose 3013 = 493*w + 548. Solve -3*d + 10 = 4*y - w, -4*d - 5*y + 20 = k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 10*j - 90. Let m be 626 + j - (-3 + 5). Calculate the greatest common factor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**5)**14\/(c**3)**(-9\/7) assuming c is positive.\nAnswer: c**(517\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 2 + (7 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 3*d**2 + 7*d - 7. Let n be j(4). Solve n*q + 2*s + 7 = 0, 0 = 2*q + 3*q - 5*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/12*5\/((-80)\/(-24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -f + 5*x, 5*f + x - 28 = -0. Calculate the least common multiple of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-4\/7)*h*(h*h**(-8)*h)\/h*(h*h**(-1\/4)*h)**(12\/5)*(h**1\/h)**34\/(h\/((h*h**2)\/h*h)*h)**(2\/59) assuming h is positive.\nAnswer: h**(-4827\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5112 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 39.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 424 - 1225. Let y = 804 + w. What is the third biggest value in y, -2\/583, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -3*k**3 - 3*k**2 + 30*k - 35. Calculate m(4).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5355732793 to 3 dps.\nAnswer: -0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-114))\/(((-4355)\/7839)\/(10\/12)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25 + -165. Let m(w) = 47*w**3 + w**2 - 2*w + 1. Let b be m(1). Is 1\/(u\/b - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 6 + 4)*(-6*k - 4*k + 4*k)*(-5*k**3 + 3*k**3 + k**3).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 11\/2  (b) 2\/11  (c) 4  (d) -4  (e) -2  (f) 0.5  (g) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -324*g - 591. Is 21 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.78 - 0.343.\nAnswer: -5.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2. Let z(p) = -p**3 - 6*p**2 - 4*p + 17. Let j be z(-3). Let r(q) = -99*q + 4*q**2 + 166*q - j*q**2. Determine r(h(v)).\nAnswer: 2*v**4 - 67*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 806327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91537 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1324 = -20*y + 16*y. Is -331 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**2 + 138*j - 396. Let s be p(66). Let n(y) be the third derivative of s*y + 8*y**2 + 1\/3*y**3 + 0 - 1\/12*y**4. Calculate n(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*g**2 - 56*g**2 - 9*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 2*d - 22 = -0*d, -4*d = -5*l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4493*p**2 + 9*p**3 + 4493*p**2.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sjsjjss. What is prob of sequence ssss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7873 and -1732.\nAnswer: -13636036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4\/5 + 4239*v**3 - 1337931*v**2\/5 + 28115073*v\/5 - 196870338\/5.\nAnswer: (v - 21)**3*(v + 21258)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 6:34 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95148 divided by 3.\nAnswer: 31716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 894, 878, 862, 846?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 11*h - 11. Suppose -6*w = -5*w - 4. Let p(b) = -3*b + 11*b - w*b - 4. Give 3*c(q) - 8*p(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -59200000 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*g - 5 = 1, 0 = -j - 3*g - 10. Solve -p + j*p = -1, -p = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 85 + -75.6. Let f = -18.3 + y. Let s = 9 + f. What is the biggest value in -5\/4, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -44 + -2334?\nAnswer: -2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*k + 7*k + k**3 - 6*k**4 + 8*k + 3 + 3*k + 11*k**4 to the form j + r*k**4 + v*k + b*k**3 + y*k**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 9 = 11, -r - 2*d = -17. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3645\/(-12) - (2\/(-8))\/(-1). Let v = i - -1528\/5. Factor -4\/5*x**2 - 12\/5*x - v.\nAnswer: -4*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 3. Let y be -1 - -1 - (7 - 12). Let b = y - -20. What is the greatest common divisor of f and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63*a**4 + 23*a**3 + 790*a.\nAnswer: 756*a**2 + 138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/(-2)*4\/6)\/((-6)\/18).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 80*u**4 - 822*u**3 - 426*u**2 + 440*u - 108. Let j(r) = r**4 - r**3 + 2. Let q(i) = 36*j(i) + 2*z(i). Factor q(v).\nAnswer: 4*(v - 9)*(v + 1)*(7*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l - 6453 + 299*l**2 - 2*l + 222*l**2 + 6450 to j + y*l**2 + n*l and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4090845997?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -4*c + 9. Let z(s) = -9*s + 18. Let o(r) = 14*u(r) - 6*z(r). What is the smallest common multiple of 10 and o(0)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5469048 divided by -39?\nAnswer: -140232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1877, 3782, 8961, 19052, 35693, 60522, 95177, 141296?\nAnswer: 200517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 350, 355, 372, 407, 466, 555, 680?\n\"Answer: p**3 - 2*p + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -5, 8, -1\/5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 1 + (35 + -29 - (72 + -19))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005206581 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-37)\/(p\/p**(-10\/7)) assuming p is positive.\nAnswer: p**(-276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -17*p**5\/12 + 14*p**3 - 42*p**2. Find the first derivative of k(x) wrt x.\nAnswer: -170*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbntttbkbxbbnnkbxn. What is prob of picking 2 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 84 - 72. Let y(q) = -6*q**k + 300 + 298 - 603. Let i(d) = -1. Calculate -5*i(s) + y(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 26 + 4 = 0. Let i be -3 - 6*d\/(-5). Let c be (-36)\/(i\/(-4) + 0). What is the greatest common divisor of 72 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (130\/(-39))\/((-4)\/6). Suppose -q*z - 91 - 6 = -4*d, -15 = 3*z. Calculate the remainder when 32 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 14473163 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -6*j - 788 + 1650 - 859. Suppose 0*r - 2*r + 3 = 3*n, -n + r = -6. Let g(t) = 6*t - 2. Give n*g(h) + 2*l(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111033211 (base 4) to base 12.\nAnswer: 42431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-630)*9)\/(1*3\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 16, -4*l = -4*d - 2*l + 340. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, r: 8}. Give prob of sequence rrr.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xld when three letters picked without replacement from {o: 1, x: 4, l: 3, g: 1, t: 4, d: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 122 = 2*a, -4*a - 37 - 79 = -5*o. Let k be ((-7)\/4)\/(-1*3\/o). What is the highest common divisor of 63 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**6\/120 - g**5\/60 - g**3\/6 + 7*g**2 - g. Let s(k) = 7*k**3 + 6*k**2 - 2*k + 3. Let t(j) = -5*q(j) - s(j). Calculate t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3718657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b - 4. Let y be t(6). Suppose l = 4*q + 6, y*q + l = -0*l. Let a be -1 + 1 - (2 + q). Sort -3, -5, a in increasing order.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h - 34*h**2 + 2*h + 0*h.\nAnswer: -34*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3*h = 2*h, 27 = -3*b - 3*h. Let y(x) = 219*x + 2188. Let w be y(-10). Sort 36, w, b in increasing order.\nAnswer: b, w, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -92, -96, -98, -98, -96, -92, -86?\n\"Answer: g**2 - 7*g - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-2) - (-99)\/22. Suppose -3*t + 58 = -2*h, 3*t - 51 = -f*h - 5. What is the greatest common divisor of 45 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.7, -0.3, -1\/76 in increasing order.\nAnswer: -1.7, -0.3, -1\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5086362, 10172729, 15259098, 20345469, 25431842, 30518217, 35604594?\n\"Answer: u**2 + 5086364*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 132440 - 1?\nAnswer: 132438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -561019, -2244064, -5049137, -8976238, -14025367, -20196524?\nAnswer: -27489709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 divided by 1402?\nAnswer: 123\/1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1324 - 221123?\nAnswer: -223002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.12 - 0.4.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (5*(-2*sqrt(88) + sqrt(88)) - (sqrt(88) - sqrt(88)*-1)*-4)\/((sqrt(32) - (sqrt(64)\/sqrt(2) + sqrt(32))*4)\/(sqrt(32)\/sqrt(2))).\nAnswer: -6*sqrt(11)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.84 + 0.06. Let q = 2.03 - k. Let g = q - 0.16. Which is smaller: 2\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 9:01 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13)\/(65\/10) - 9\/(-3). Suppose 5*z - 12 = 4*r, -z = 2*r - r - 6. Let p be ((-6)\/8)\/(30\/z). Is g greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (24\/(-3))\/(4\/(-6)). Suppose -2*i - x = -4*a, -4*i - 3*a + 0*a = -20. Calculate the remainder when i is divided by 1*(6\/18)\/((-2)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8.06 + -0.06. Let s = 7.96 - q. Let i = s - -0.18. Round i to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150103, 150095, 150075, 150037, 149975, 149883, 149755?\nAnswer: 149585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -15*f**3 - 26*f**2 + 92*f + 21. Is i(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -413906877, -413906878, -413906879?\n\"Answer: -s - 413906876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 11:29 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r - 1 + 7*r + 9*r - 19*r. Let t(j) = -8*j - 14. Let f(u) = -4*p(u) + t(u). Let y be f(-3). Let a(z) = -2*z**3 + 2*z**2 - 2*z + 1. Give a(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 172 + 36 = 0. Suppose 4*a = 42 - b. Solve -10 = -3*f + 5*x, -5*f - a*x - 4 = -0*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(1\/2 + -1) + 4. Put n, -4, -0.4, 3 in increasing order.\nAnswer: -4, -0.4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**3 - 1 + 1)*(7 - 3 - 2 + (3 - 3 + 1)*(1 - 1 + 2)).\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -a6345 (base 13) in base 15?\nAnswer: -5da71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 - -3. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, y: 2, u: 2, t: 3, l: 4}. What is prob of picking 2 u and 1 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 206370444 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110014925.\nAnswer: 5, 1721, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.9771 + 3466.7229. What is s rounded to the nearest 10?\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 702 + -0.0682.\nAnswer: 701.9318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + (4 - -12) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 7 = -3*r. Let s = 1 + 13. Let c = 16 - s. Sort r, c, 1\/2 in ascending order.\nAnswer: r, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.5, -121, -6\/7, -0.6?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6603 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/6 and 13\/1653.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 701 (base 8) to base 7.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 o when three letters picked without replacement from {b: 17, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**2 + j**2 - 2*j**2)*(j**2 + 3*j**2 - 6*j**2) + (j**3 + 0*j**2 + 0*j**2)*(8*j - j - 3*j).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10590180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3291, -13141, -29559, -52545, -82099?\n\"Answer: -3284*w**2 + 2*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 44 + 48 = 0. Let z(u) = u**2 + 4*u + 11. Let t(j) = 2*j**2 + 5*j + 13. Let a(l) = x*t(l) + 3*z(l). Give a(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -388 + 801\/2. Let g = l + -12. Which is bigger: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/7))**(-31\/3)\/((m**(-1)*m)\/m)**(2\/107)*(m**(3\/11)*m**(-1))**43 assuming m is positive.\nAnswer: m**(-699532\/24717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 37396, 37355, 37290, 37201, 37088?\n\"Answer: -12*r**2 - 5*r + 37413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express b - 20*b**2 + 8*b**2 + 12*b**3 - 56 + 55 as h*b**2 + l*b**3 + z*b + s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l - 21. Let o(m) = 2. Suppose -17*n + 342 = 2*n. Determine n*o(t) + 2*q(t).\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - 9*f + 4. Let d(a) = 2*a**2 + 21*a - 7. Suppose 5*k = 14 - 79. Let j(v) = k*b(v) - 6*d(v). Give j(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -430*n + 221*n + 251*n + 2142 = 0 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -31*j + 11*j + 5*j + 18*j - 3 + 12*j. Let s(t) be the first derivative of -t**2 + 4. What is s(n(b))?\nAnswer: -30*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 11 = 4*l, 8*d - 7*d + 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 9.5. Let a = 0.50000015 - c. Round a to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**3 - 2*z**2 + 3*z - 6. What are the prime factors of l(4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 477421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 446649 + 45*s**3 - 446649.\nAnswer: 45*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3223*o + 3231*o - 12915*o + 3228*o + 3233*o + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, 35975, -4 in descending order.\nAnswer: 35975, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1384*w - 196 - 1381*w - 62 + 2761*w - 94 to i*w + q and give q.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7380 and 1968.\nAnswer: 29520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -182?  (a) 10  (b) -0.1  (c) -7  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -8 + 7 - 3 - (0 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y. Suppose l - x - 27 = 6*l, 5*x = -2*l + 3. Let c(j) = -13*j - 1. Let d(p) = l*a(p) + c(p). Is d(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*c - 4*c. Let b be -6 + c - (-6 - -3). Solve b = -3*x - x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -341103 - 122?\nAnswer: -341230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 0.1237502.\nAnswer: -0.4950008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9050 or 9057?\nAnswer: 9050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus 7.30642?\nAnswer: -2.30642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*g**3 - 2868*g**3 - 6590*g**3 - 4846*g**3.\nAnswer: -14453*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, 3, 5, -9430, 0.3 in descending order.\nAnswer: 5, 3, 0.3, -0.04, -9430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 66625490 + 5?\nAnswer: 66625495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 316 - -b?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 597283 and 12886703.\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2544)\/(-7314)*(-690)\/36.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**10*b*b*b\/b**(-8\/11)*b*b)**(3\/26))**(1\/4))**(-3\/14) assuming b is positive.\nAnswer: b**(-1557\/16016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*z**2 - 29360*z + 29360*z - 9*z**2.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppuu. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 672*m + 405*m + 652*m - 518*m.\nAnswer: 1211*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + 0 + 0 - 0. Let n be (c + 3)\/(2 + -3). Suppose n = -2*s + 29 - 7. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 188*t**2 - 144*t - 2743. Is k(81) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89.05062 decades to months.\nAnswer: 10686.0744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146 = 20*n + 46. Let l = 4 + 3. Suppose -n*v + l = -283. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -5, -10.\nAnswer: -18, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -50*t**5 + 610*t**4 - 2188*t**3 + 1544*t**2 + 2448*t + 576 = 0.\nAnswer: -2\/5, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 66.3 and 0.224.\nAnswer: 14.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 6 = t, -2*t = u - t. Let s be 9\/(3 + -2) - u. Solve -n - s = -3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -4. Suppose -2*u + v*x = 0, 4*x = -2*u - x + 18. Suppose -4*d - 5*k = -u*k - 18399999, -4 = 4*k. What is d rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 81037216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1*(-3 + -6*(-3 + sqrt(245) + (sqrt(245) - sqrt(245)*2) - sqrt(245))*-4) + 0)**2.\nAnswer: 25872*sqrt(5) + 147049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 + 3*b**2 - 3*b**2 + (-2*b + 3 - 2 - 4 - 6*b - 4 + 4 + (-2 + b + 2)*(1 - 5 + 3) + 19*b + 49*b - 105*b + 3*b + 0*b - b)*(0*b + 3*b - 4*b).\nAnswer: 45*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -521 and -174421?\nAnswer: 90873341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z - 6. Let b(d) = -1 - 6 + 10. What is 5*b(s) + 2*h(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*v - 4 = 0, 3*n - 13*v = -9*v + 2. Solve -g + p = 6, 5*p - n = 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 9*r - 2 = -182 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 3*u + 45. Let y be (u\/(-6) + 2)*8. Is -17\/5 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2537, -4745, -6969, -9215, -11489, -13797, -16145, -18539?\n\"Answer: -c**3 - 2*c**2 - 2195*c - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -56*l**4 - 62*l**3 - 5456*l**2 wrt l?\nAnswer: -1344*l - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -n**7\/420 - n**6\/120 + 11*n**5\/24 + 25*n**4\/6 + 12*n**2 + 13*n. Factor l(v).\nAnswer: -v*(v - 8)*(v + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pqjkjpekklpepkk. Give prob of sequence lekk.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86 - 42 - 3*i - 2 - 42.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 79 = -93. Put x, 111, 4, 5 in decreasing order.\nAnswer: 111, 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30)\/(-1*sqrt(5)) + sqrt(294)*-2)\/(((sqrt(300)*1 + sqrt(300) - sqrt(300)) + sqrt(3) - sqrt(3))*3) + -4)**2.\nAnswer: 4*sqrt(2) + 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 19 = 3*i, 98*i + 10 = 96*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*x - 20*x + 260*x.\nAnswer: 298*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(40)*-4)\/sqrt(8) - (-5 + sqrt(10)\/sqrt(2)*-5))**2.\nAnswer: 130*sqrt(5) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/(q**(1\/3)\/q)*q))\/q*q)**(2\/41))**(1\/4)\/((q**(3\/5)*q)**(-31)*(q*q\/(q**(3\/5)\/q))**(23\/4)) assuming q is positive.\nAnswer: q**(44009\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 2)*(8*d**3 - 8*d**3 - d**3) - 4*d**3 + 0*d**3 - 3*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3402\/54)\/567*(2\/14 - 1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 13. Let y be r\/(-10) + (-796)\/(-10). Let v = 115 - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71956444?\nAnswer: 2, 7, 17, 151169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + -3 + 5 + 1. Suppose u = 2*x + j - 159, x + 4*j = -0*j + 76. Let w = x - 53. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 256 and 61330912.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/30 and -89\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h + 0*h - 2*h - 2*h + h - h + (-1 - 4 + 1)*(-35*h + 28*h - 85*h) - 4 + 4 + 2*h + (6 + 1 - 5)*(2*h - 2*h + h).\nAnswer: 368*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2335977131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1307000253?\nAnswer: 3, 13, 19, 79, 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 138590321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7881?\nAnswer: 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1646078.9 and 0.04.\nAnswer: 1646078.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -86 + (92 - (-29 - -48))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2  (b) 0.4  (c) -0.5  (d) -9.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 5*r**2 + 7*r**2)*((-r + 4*r - 2*r)*(-1 - 5 + 0) + (0*r + 5*r - 4*r)*(-3 + 5 + 0)).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (259515\/(-18))\/(1\/206) + 5. What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1344 and 1260.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.576 * 459.\nAnswer: -264.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 62 + 4 = 0. Let p(z) = -z**3 - 22*z**2 + 3*z + 1. Let y be p(d). Let g = 4518 + y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (9 + 1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/7)\/v)**(-2\/77))**(40\/3) assuming v is positive.\nAnswer: v**(400\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 6:46 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 647885.\nAnswer: 5, 7, 107, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6087200 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -f**4\/4 - 2*f**3\/3 - 4*f**2 + 5*f - 155. Let t be w(-3). Calculate the greatest common divisor of 475 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1430, -10602, -35256, -83132, -161970, -279510, -443492, -661656?\nAnswer: -941742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15 + 2 + (-2)\/2. Suppose 5*t = -2*v - z, 2*v = -t + v - 2. Let q(k) = -k**3 - 3*k**2 + 2*k + 2. What is q(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 393687, 787287, 1180889, 1574493, 1968099?\n\"Answer: u**2 + 393597*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**5\/17 - 4*x**4\/17 + 16*x**3\/17 + 32*x**2\/17 - 32*x\/17 - 64\/17.\nAnswer: -2*(x - 2)**2*(x + 2)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -7*b - 3. Let d(q) = -8*q - 4. Let u = 68 - 71. Let p = 3 + 9. Let n be (p\/(-10))\/(12\/(-40)). What is n*g(j) + u*d(j)?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 363 divide 188875774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}