diff --git "a/data/dm_maths/full_data_1/1186_11255.jsonl" "b/data/dm_maths/full_data_1/1186_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1186_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -6*u = -2*u + 2*o - 3506, 0 = 4*o + 4. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 26470125?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 13*u + 1120. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*t - 151*t = -219324. Does 99 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626837 is divided by 84343.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a9 + 0?\nAnswer: 17a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3444 = -z. Suppose 2*c = -3*o + 6910, -c + z = 2*o - 1735. Let x = -4899 + c. Round x to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 16*u + 50. What is l(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167759 and 0.04?\nAnswer: 167758.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*-1*sqrt(2057) + (sqrt(2057) - (-4 + sqrt(2057) + -2))) + 1)**2.\nAnswer: -2508*sqrt(17) + 74413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 55*j = 34*j - 2052. Solve -81*i + 15 = -j*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/450)\/((-52)\/(-200)) + 6\/(-13)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/105 - 137\/1680. Let o = 3\/16 + r. Calculate the common denominator of o and -29\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u - 27. Let c be q(-4). Solve -2*g - 2*t - 2 = -6*g, -t - c = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-5 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 84*i - 185*i + 103*i. Let r(t) = t**2 + 461. Determine j(r(w)).\nAnswer: 2*w**2 + 922","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 0*t)*(0*t**2 + t**3 + 0*t**2) + (37 + 37 - 22)*(34 - 34 - 9*t**4).\nAnswer: -469*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Suppose v*f - 42 = -2*a, -75 = -5*f - 3*a + 5*a. Let p = f + -10. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.4. Let o = -0.814 + -1.186. Which is the closest to 0.1? (a) o (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 752 - -2244. Is 28 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 - 18\/(-16). Let t = -9\/8 + r. Which is the nearest to t? (a) -1 (b) -0.3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7983, 8002, 8021, 8040, 8059?\nAnswer: 8078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -246*b - 201. Let d be g(-5). Suppose -6*l = -d + 177. List the prime factors of l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210211 (base 3) to base 16.\nAnswer: -24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 3*t**2 - 2*t**3 - 3*t**3 + 2 + 2*t in the form y*t + g + s*t**3 + j*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 338.98 (b) 3\/2 (c) -5 (d) -4\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 - 6*n + 10. Let d be j(4). Suppose 26 = d*t - 4*u, -19 - 14 = -3*t + 4*u. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 7*m**2 + 10*m - 8. Let d(c) = 5*c**2 - c - 1. Let n be d(-1). Suppose -41 = 5*k + 4*l, 5*l + n + 15 = 0. List the prime factors of s(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 1 - 1)*(-3*m**2 - 4849 + 12*m + 4849).\nAnswer: -12*m**4 + 48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(5 - 1 - 3) + 5 - 4 + 0 + 40 + 39 - 55)*(1 + 6 - 5)*(g**4 - g**4 - g**4).\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.138 + 0.038. Sort g, 0, -9, 3.\nAnswer: -9, g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 0, 35 = 2*o - 5*t + 12. Which is the nearest to -3\/5? (a) o (b) 1 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 431*g**2 - 92*g - 12. Calculate s(3).\nAnswer: 3591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 19 = -7. Suppose 0 = 5*x + a - 9, 2*x - 6 = -q*x - 2*a. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7\/2, 2\/7, -304420, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 1. Let p(r) = 10*r + 3. Let c(q) = -2*p(q) + 7*u(q). Let k be c(-5). Let t be (24\/60 - 0)\/(1\/15). Put k, 3, t in ascending order.\nAnswer: k, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3955870*h**3 - 1980291*h**3 - 1975570*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*d**2*m - 4*d**2 - 2*d*m**4 - 3166*d*m**2 - 205834*d + 1 with respect to m.\nAnswer: 285*d**2 - 8*d*m**3 - 6332*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17.9 * 2\nAnswer: -35.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 18*b**2 - 21*b - 27. Let r be c(-17). Let x = 45 - r. Solve -g + 17 = 5*i, i + 3 = -g + x*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 168088*k - 203227584 = 0. Calculate k.\nAnswer: 1246, 40776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1640712616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -15. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 23 - 1521\/171) + 344\/(-19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.45, 1\/8, 2738 in increasing order.\nAnswer: -2.45, 1\/8, 2738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100111100010 (base 2) in base 3?\nAnswer: -10212121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 3. Let c = 1 + 4. Suppose 20 = -2*t + 4*y, 0 = c*t - t + y + 4. Let x(d) be the second derivative of -d**2\/2 - 2*d. Calculate t*x(b) + q(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -245\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -6659*x + 6688*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15) + 16\/10. Let j be 29\/(-7) + 2 + k. Sort -1, 3\/2, j.\nAnswer: -1, j, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) -59\/2 (b) -2 (c) -312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43856 - -248?\nAnswer: 44215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 + 116968*m**2 + 1710306090*m + 3420144324 = 0. Calculate m.\nAnswer: -29241, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12534)\/18801)\/((-2)\/63)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10758 or -10752?\nAnswer: -10758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(7\/3)*s*s*s*s\/(s*s\/s**(3\/5))*s*s**(5\/4)*s*s*(s\/s**(4\/3))\/s assuming s is positive.\nAnswer: s**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 186769913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 187*u**3 - 6*u**2 + 3*u. Let o(c) = 94810*c**3 - 3040*c**2 + 1520*c. Give 3*o(l) - 1520*r(l).\nAnswer: 190*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -3.081?\nAnswer: 3.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbefbh. Give prob of picking 1 e and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 1\/150*y**5 + 4 - 1\/20*y**4 + 0*y - 2*y**2 + 0*y**3. Let p(s) be the second derivative of o(s). Solve p(r) = 0 for r.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -9, 5, -1\/5, 114\/25 in increasing order.\nAnswer: -9, -5, -1\/5, 3, 114\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-m + 0 + 0) + 18*m - 11*m - 12*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (5 + -4*(1*sqrt(80) + -4))*-3) + 2.\nAnswer: -192*sqrt(5) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 104*o + 19740 = 0. What are the prime factors of o?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81 + -1ac?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - 7.11. Let y = -266 - -439. Let i = -174 + y. Which is the second biggest value? (a) i (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 997.607 to the nearest 10.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -29. Solve -4 = -a - m*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -648 - -652. Sort 305, f, -1 in decreasing order.\nAnswer: 305, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2\/13*k**3 + 2\/13*k - 288\/13 + 288\/13*k**2 = 0.\nAnswer: -1, 1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640)*1*-1 - sqrt(640))*4)\/(2*sqrt(720)*2*5).\nAnswer: -4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(153))*-3 + sqrt(17))*2.\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1178 + -1177.7. Let y = -2 - -5. Let z = 7 + -6. Which is the closest to z? (a) i (b) 4\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**3\/15 + 2*s**2\/5 + 16. Factor r(p).\nAnswer: 2*p*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566\/435*(-3 - (-44)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from ecvevvcdrrvo.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 2, z: 6, f: 2}. What is prob of sequence fynf?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 21*c**2 + 49*c + 8. Give v(-23).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -1 - (-122)\/2. What is the third derivative of 14*f**2 - 48*f**3 - h*f**2 + 277*f**2 + 2*f**6 wrt f?\nAnswer: 240*f**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 - 671212*n**3\/5 - 112630044804*n**2\/5 + 450528233792*n\/5 - 450530918656\/5.\nAnswer: -(n - 2)**2*(n + 335608)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334*v = 6490*v + 22120*v + 136380 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*7*7*24\/(-196)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2794947.759 rounded to the nearest 100?\nAnswer: -2794900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-15)*5\/(-2). Suppose a - 12 + i = -3*b, 20 = 2*b - 2*a. Suppose -2*o + 45 = -b*z, -3*o - 30 = -4*o + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10 + 1 - 29*d**2 + 119*d**2 - 42*d**2 - 32*d**2. Let s be (13 + -2)*2\/1. Let g(q) = 3*q**2 + 2. Determine s*g(o) - 4*t(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 226.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 8, j - 3 + 4 = 3*y + 1 - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 1, q: 1, t: 2, n: 1, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/70*49\/(-84) + (-43)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232094683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/1377607 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -262808*-1\nAnswer: 262808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**5 - 25*t + 47*t - t**5 - 15*t wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 100, 3, -5 in decreasing order.\nAnswer: 100, 5, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = u, 11*c = 6*c + u - 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1435?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/2 - 2*s**2 + 22*s. Suppose 3*j + 2 = -4*g, 33 = 5*j - 4*g - 17. Calculate v(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2403310230 (base 5) to base 2.\nAnswer: 10101000101000010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7)*-1*-6 + 3 + sqrt(7)*-2 + 1*sqrt(84)\/(sqrt(12) - (sqrt(48) + sqrt(12)))).\nAnswer: 3 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4890 and 652?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 481328 divided by 3592\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let j = s + 3. Which is the third biggest value? (a) 2 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78708069?\nAnswer: 3, 11, 41, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285264 and 2674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1652170646 to four dps.\nAnswer: 0.1652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49008 divided by -24?\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 2*k = 18, -5*o - 3*k = 17. Let t(j) = 32*j**2 - 11*j. Let f(n) = -11*n**2 + 4*n. Calculate o*t(p) - 11*f(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -22. What is the derivative of 3*r**3 - j*r**3 + 12 - 2*r**2 + 2*r**2 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7812*r**4 + r**3 - r**2 - 450796 with respect to r.\nAnswer: -31248*r**3 + 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130160540*c**4 - 170208914.\nAnswer: 520642160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-1)*d*d**(-6))\/((d**(3\/10)*d)\/d*d**(-1\/6)) assuming d is positive.\nAnswer: d**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3512 + -586513\/167. Let c = -6653\/501 + m. Which is greater: -12 or c?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8381 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226391942 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**3 + 7*x**2 - 7*x + 11. Suppose -16*i + 3*j - 12 = -13*i, -40 = 5*i + 5*j. Let a(l) = 7*l**3 + 6*l**2 - 6*l + 11. What is i*w(m) + 7*a(m)?\nAnswer: m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f**3 + 2*f**2 - 1. Let a be v(-1). Let m = a - 16. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*0.4806.\nAnswer: 7.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-3)\/(12\/14)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) -1\/4 (b) 1 (c) 0.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2127 - -2272771?\nAnswer: 2275120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.186 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -362.5 - 1219.02895\nAnswer: -1581.52895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = -379*w + 109*w. Suppose 5*n - 11 = 9. Which is the closest to w? (a) 1\/2 (b) n (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 9. Let t be x(-3). Suppose t = 5*r + 5*o, -3*r - 2*r - 3*o + 8 = 0. Solve r = -z - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -83. Is 9 a factor of 4 + (-366)\/(-18) + (-4)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010103 (base 4) in base 7?\nAnswer: -66366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699972.1 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999922668?\nAnswer: 2, 3, 29, 2873341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/5 + (-2940)\/(-50)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*w + l - 26, -w = 4*l + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4e9d (base 16) to base 7\nAnswer: -112450","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*701.\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*c + 52*c - 84 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180) - sqrt(45)) + (sqrt(360)\/(sqrt(27)\/sqrt(3)))\/sqrt(8))**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 16800728*x**2 + 35283074466970*x - 70566081731044.\nAnswer: 2*(x - 4200181)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248.885 - -13757.34033.\nAnswer: 13508.45533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a factor of 17037537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*q - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*m - 170*i**2*v**2 - 3*i*m*v**2 + 43*m*v**2 wrt i?\nAnswer: -4*m - 340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152426811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i - 1 + 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by -8\nAnswer: 131\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, -9, 2, 0, -183, 5 in decreasing order.\nAnswer: 14, 5, 2, 0, -5, -9, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 820 - 416. Let t = j - 405. Which is smaller: t or -5\/184?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 5167*v**4\/24 + 15*v**2 - 15. Let i(w) = w. Determine r(i(k)).\nAnswer: 5167*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 95\/(-570) - (-5)\/420*2. Which is the closest to 2\/5? (a) -4 (b) -3 (c) p (d) -349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 8*i + 4. Let p be a(8). Let y be -450*(p - 30)*(1 + -2). What is y rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 9*t - 2. Let o be m(-5). Let v(d) be the second derivative of 0 - 1\/48*d**4 + 1\/24*d**3 - o*d + 1\/4*d**2. Find y such that v(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 8*i - 2. Let h be k(6). What is the units digit of (7\/5)\/(2\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6763, -13512, -20247, -26962, -33651?\nAnswer: -40308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 8 + 8*n - 3*n**2 + 7*n**2 - 3*n**2. Let r = 10 - 3. List the prime factors of b(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*u + 420 = 0, -p - 3*u + 517 = 4*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = 7. Suppose 2*l - 11 = -t. Suppose -4*c = v - 21, 38 = v + l*c + 12. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 14*l = 13*l + 4, -2*a = 2*l - 8. Let i(y) be the third derivative of 0*y**3 - 1\/100*y**5 + 0*y + 3*y**2 - 1\/40*y**4 + a. Factor i(v).\nAnswer: -3*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311868.635 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {u: 6, g: 1, r: 10}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1679517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -3 (b) 3\/14 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17475*i**2. Let p(o) = 17*o**2. Give v(p(b)).\nAnswer: 5050275*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*j + 12*j. Let p be j\/9*-1 + (-6840)\/(-162). Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*r - 18 - 2, 0 = r + 5*v + 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a + 23045 - 110480 = 0. What are the prime factors of a?\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g. Suppose g*u - 35 = -5*u. What is the first derivative of 0*t**2 + u*t**2 + 1 - 11*t**2 wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13769?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2334363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:30 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.9 - 15.8. Which is the nearest to g? (a) 0.4 (b) -4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -796.0715 times 0.03\nAnswer: -23.882145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -2 - (1 - -10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 671*p + 51. Let y(a) = -112*a - 9. Let u(q) = -6*o(q) - 34*y(q). Let f(l) = -2*l**2. Calculate f(u(g)).\nAnswer: -95048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35069*c**4 - 94439*c**2 wrt c.\nAnswer: 841656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 60.\nAnswer: -5, -4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16*10\/160*-6*-12. Solve -15*c - d = 18 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:38 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*k + 410*k + 4*s - 32 = 0, -5*k + 2*s = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, f: 13}. What is prob of sequence lff?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1 + (0 - -3). Calculate the smallest common multiple of 6 and 13 + -1 + -5 + s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2768 and 288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -21*w**2 - 21*w**2 - 4 + 45*w**2 + 8*w. What is the tens digit of d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*l + 186*l + 120*l + 9 + 30.\nAnswer: 527*l + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6534040 and 69424175.\nAnswer: 555393400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001100 (base 2) to base 3.\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let u be 0*3\/(d*-3). Suppose -2*t + 1 = 3. Put t, 5, u in ascending order.\nAnswer: t, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2. Let d(c) = 13*c**2 - 4*c - 4. Let s(o) = 144*o**2 - 45*o - 45. Let p(b) = 45*d(b) - 4*s(b). Give p(h(t)).\nAnswer: 441*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4622, 4, 0.2, -1\/327 in descending order.\nAnswer: 4622, 4, 0.2, -1\/327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3690, -7448, -11206, -14964, -18722, -22480?\nAnswer: -26238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*n - 20. Suppose -2*w - n*u + 3*u = -344, 2*w - 2*u - 350 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*g + 8*g + 96 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Suppose p*u = -4*u + 168. Calculate the remainder when u is divided by -3*(-1)\/(-1) + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -474026*s**2. Let u(p) = -p**2. Calculate u(c(j)).\nAnswer: -224700648676*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11804*a**3 - 887*a**3 - 244 + 32*a + 244 + 1441*a wrt a?\nAnswer: 65502*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -5. Let b = 3 - q. Let m(z) = z**2 - 3*z + 1. Let v be m(3). Sort v, b, -5 in decreasing order.\nAnswer: v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(-1701)\/243?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8092*g**2 + 195*g**2 - 538*g**2.\nAnswer: 7749*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9)\/(-3) + (-1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 58 - 6*u - 51 + 0*u. Let x be i(2). Suppose -2*n - 4*y = -y, x*y = -n - 6. Solve -8 = n*d - 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 43074.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000 (base 2) in base 14?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 36 = 4*h. Let t be h\/4 + (-1)\/4. Find the second derivative of -4*q**3 + t*q**3 - 6*q + 3*q wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2291 - 2283. What is the highest common divisor of j and 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -825097, -1650221, -2475343, -3300463, -4125581, -4950697?\n\"Answer: z**2 - 825127*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 65. Find the common denominator of 27\/x + -1 + -1 + 0 and 53\/124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429459 times 15\nAnswer: -6441885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 906 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 0, -13*t + 4*t + 5*b - 638 = -11*t. Solve 4*j = -2*c + 24, -323*c + 18 = 2*j - t*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3337, 1\/3, -1 in decreasing order.\nAnswer: 1\/3, -1\/2, -1, -3337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*c - 5*n - 8, -2*c = 2*n + 8. Let l be ((-36)\/4)\/(-3) - c. Find the third derivative of -33*w**3 + 33*w**3 - w**5 + 22*w**l wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -733*o + 5897. Determine b(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -124*z**3 - 5*z**2 + z - 6. Let l be x(-4). Let u(h) = h**2 - l*h + 7846*h. Let q(c) = 10*c - 1. Determine u(q(k)).\nAnswer: 100*k**2 - 20*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 28 = 42*v. Suppose 2*q + 0*q = 4. Let o(h) = 3*h**3 - 3*h**2. Calculate the remainder when o(q) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142058\/(-2555) + (165\/25 - 4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6112.935 hours in milliseconds?\nAnswer: 22006566000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*p = -0*z + 140, 0 = -z - 4*p + 21. What are the prime factors of (-1 - (-190)\/15)*(z - 1)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v - 12. Let k be -3 + (-3 - -8) + -2. Put k, v, -1 in decreasing order.\nAnswer: k, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47428 and 10990.\nAnswer: 260616860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/b**4)\/b)\/b)**(2\/9)*(b**1*b)**17)**(1\/40) assuming b is positive.\nAnswer: b**(149\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 250?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -1.3874.\nAnswer: 0.027748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15310?\nAnswer: 2, 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 20*r**2 + 155*r + 146. What is the tens digit of g(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {l: 2, s: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 883268884*x**3 + 704259645?\nAnswer: 2649806652*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 856 and 2193500.\nAnswer: 4387000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 - 0.09. Let t = 1 + 2. Which is the nearest to -2? (a) t (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000010111 (base 2) to base 4\nAnswer: 120113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 29. Let u(d) = 13*d + 43. Is u(l) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i - 5*q + 175 = 0, i - 3*q - 48 = 0. Let b be i - 42 - (-4)\/(-1). Let r = -91 - -91.049. Is b > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22156?\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, 8 in descending order.\nAnswer: 8, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6817*p**2 + 8912*p**2 + 12003*p**2 to u + r*p**2 + g*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 14 + -23 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 748.2401 times -2\nAnswer: -1496.4802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 4*q**3 + q**3)*(2 - 1 + 1) + 0*q**2 + 0*q**2 - 2*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/9*9\/6. Let c be f\/20 - (-1)\/2. Suppose -q - 2 = q. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1 - (-2 - 4 - 1366). Let c = z + -205. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2123*g + 2124*g - 4248*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 14924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -510841 times -525?\nAnswer: 268191525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1 + l + 7 + 3. Let i(r) = 2*r + 12. Let h(k) = k + 6. Let z(o) = 9*h(o) - 4*i(o). Let n(d) = -5*u(d) + 7*z(d). Differentiate n(p) with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155154599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 10050. Let m(x) = -2*x. Determine m(f(r)).\nAnswer: -4*r + 20100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4543952 - 4486052 = -772*l for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0422 and 1.6.\nAnswer: 0.06752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3 + 7. Suppose -4*w + 24 = 4*l - 2*l, 2*w - 2*l = 0. Let m = 1102 + -1099. Solve x*k = m*k + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g + 1\/3*g**4 + 0 - 2*g**2 + 1\/60*g**5 - 5\/6*g**3. Let y be a(-9). Calculate the highest common factor of y and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - y - y + (1 - 2 + 3)*(-4*y + 3*y + 3*y) + 2*y - 6*y + 2*y - y - y + 3*y - 3 + y + 3 + 2*y - 2*y - y + 3*y - 18 + 17 - 15 as j + h*y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjpkjkjjjkkkkjgk?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*q - 180. Suppose 0*l = -2*l + q. Suppose 4*v - 19 = l. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(-20)*-10 - (-525)\/6 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 8*i**2 - 20*i + 36. Is v(-13) 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 10:43 PM and 3:47 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 0.076320363659.\nAnswer: 6.076320363659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (4 - -8) + -5 + 6 + 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131991512 and 6852?\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8625)\/(-120))\/23*(-248)\/(-31)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13332 - 6?\nAnswer: -13341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1850230818 to the nearest integer?\nAnswer: 43014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -a6a069?\nAnswer: a6a073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*3 + -5 + 8. Let h(n) = -11*n - 25. Let t be h(-10). Let u = -1 + t. Calculate the highest common divisor of q and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from {b: 3, z: 2, r: 1, e: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/360 and -53\/86190.\nAnswer: 1034280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*h**3 + 438090*h**2 + 2336096*h\/3 + 1038208\/3.\nAnswer: 2*(h + 8111)*(9*h + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105914.50643 plus 82?\nAnswer: 105996.50643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6048) - sqrt(6048)*1) + sqrt(6048) - -6*-2*sqrt(42))\/(sqrt(30)\/(-1*sqrt(5)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - z**2 - 87*z**3 - 377*z**3 - 19*z**3.\nAnswer: -483*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713 divided by 4524?\nAnswer: 3713\/4524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t + 291*t - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3216832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 22*q + 100. Let o be k(-7). Let d(i) = 7*i - 8. Calculate d(o).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -1)\/5*-3. Let w(q) = -3*q**3 + q**3 + 2*q - 2*q**2 + 0*q**2. Let i(u) = u**3 - u. Determine o*i(d) - w(d).\nAnswer: -d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8492, 18230, 29208, 41426, 54884, 69582, 85520?\n\"Answer: 620*r**2 + 7878*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.3, -290, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnlf when four letters picked without replacement from {n: 1, a: 2, l: 8, g: 2, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -3019.4406.\nAnswer: -9058.3218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m)**(-33)*(m\/(m*m\/((m\/((m*(m\/(m**4*m))\/m)\/m))\/m)))\/(m*m*m**(-6)))\/(m**(-3)*m*((m**(4\/3)*m)\/m)\/m)**(-20\/11) assuming m is positive.\nAnswer: m**(3431\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m - 7. What is the smallest common multiple of b(2) and (-72)\/45*((-9)\/2 + 2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 4:42 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022 (base 8) to base 7.\nAnswer: -32636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 400220 = 37*o - 36*o, 5*h - 4*o - 500275 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-7 - -4) + 1. Let w be 1\/l*3*-2. What is the closest to 0.1 in 0.2, w, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 342*g = -343*g, -2*a - 4*g = 0. Let a*b - 2\/17*b**4 + 0 - 2\/17*b**3 + 4\/17*b**2 = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2617*a**2. Let t(k) = -417524 + k + 417524 + 0*k. What is j(t(l))?\nAnswer: 2617*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 14494381660 to the nearest one million.\nAnswer: 14494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 4. Suppose 3*v - o*q = v + 13, -2*v - 5*q - 37 = 0. Let f(m) = m**2 + 8*m + 6. Determine f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/5950 and 83\/74970.\nAnswer: 374850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30472657 (base 8) in base 10?\nAnswer: 6452655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 11928780.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 50. Let k be ((-2170)\/g)\/(-2) - 4\/10. Suppose 3*b - 5*l - 71 = 0, 5*b - 5*l - 72 = k. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 82476.\nAnswer: -1\/27492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*r - 40, 15*r = 14*r + 4. Let h be 4*2\/i*(0 + 3). Sort 0.5, -0.1, 0, h in increasing order.\nAnswer: h, -0.1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwkkkcwuki. Give prob of picking 1 c and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -232, -20, -7 in ascending order.\nAnswer: -232, -20, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 28, 34?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71619 + 37947. Let q = 1414291\/42 + u. What is the common denominator of 20\/63 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.62 - -23.38. Let y = 28 - h. Which is the second biggest value? (a) y (b) 3 (c) 0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-60)\/(-86)))\/(((-265)\/(-424))\/((-1075)\/(-172)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w - 2*w. Suppose k - w*n = 15, -4 + 1 = n. Solve 4*p**k + p**5 - 6 + 6 + 4*p**4 = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203.63 + -4.63. Let c = 176.4 - y. Let z = c - -22.60000113. What is z rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(3*sqrt(6480) + sqrt(6480) + 1 + (0 + -1 + sqrt(6480) - sqrt(6480)))*5)**2.\nAnswer: 93312000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3906566 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:32 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5) + (-114)\/(-95))*470\/((-20)\/(-4))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*f - 1638*f + 558*f = -540*f + 888 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 - 0.01. Let f = 219 - 638\/3. Let b = -107\/15 + f. Put b, h, 5 in decreasing order.\nAnswer: 5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -24 - (-2 + 4)) + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-26)\/(-4) + (-32)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21*l + 9. Let n(w) = -11*w - 4. Let q(h) = 5*n(h) + 2*o(h). Let d(f) = -7*f - 1. What is -11*d(u) + 6*q(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -4, 5, -83, 2, -1 in descending order.\nAnswer: 5, 2, -1, -4, -28, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44825495, -44825492, -44825489, -44825486, -44825483?\nAnswer: -44825480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14293, 28333, 42371, 56407, 70441?\n\"Answer: -z**2 + 14043*z + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)*s**(-2\/5))\/(s\/(s\/s**5)*s*s*s**0) assuming s is positive.\nAnswer: s**(-417\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/17, -23\/2, 0.1, -2\/23, -4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4446550446 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 30 = -5*d, -2*d - 14 = 3*y + y. Let p(b) = b**3 + 6*b**2 - 21. Let c be p(y). Suppose -3*q = -4*q + c. Which is smaller: 19\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171420.\nAnswer: 2, 5, 37, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = -4*i + 3*y, 0 = -y. Let h be 2\/(-20) + (-2)\/i. Let g = 391 - 5863\/15. Which is the nearest to h? (a) g (b) -0.3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*g + 7 = -6*k, -3*k - 4*g + 69 = 0. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26412 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w - 124*w + 104 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 707101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 1. Let q(o) be the second derivative of -o**4\/6 + o**3\/6 - o**2\/2 + 19*o. Let c(i) = p(i) + q(i). Let z(j) = -j. What is z(c(u))?\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdhqbql. What is prob of sequence lb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 2*c**2 + 4*c**2 + (190 + 341 - 116)*(3*c + 2*c**2 - 3*c).\nAnswer: 832*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 1)*(3*k + k**2 - 3*k)*(7*k - 13*k - 8*k).\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -18 + (24 - 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 4*x. Suppose -q + 5 - 2 = x. Suppose 0 = 4*b - q*o - 25, 3 = -b - 3*o - 2. Solve a = 3 - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(1\/9)\/t)\/t)\/t)\/(t\/(t*t**4)))\/(t*t**(-1\/3))**(-6)*(t*t**(2\/15)\/t*t*t**(5\/2)\/t)\/((t**0\/t)\/t)**18 assuming t is positive.\nAnswer: t**(4027\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - -125. Suppose -5*f + 2*f + i = 0. Is 33 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 22 + 8 = -3*l, 4*f = -5*l + 76 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -402*k**3 - 2*k**2 - 83*k wrt k?\nAnswer: -2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/36)\/(29\/(-348)*-20)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 2019*j**3 + 1998*j**2 - 12096*j.\nAnswer: 3*j*(j - 2)*(j + 3)*(j + 672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-8) - 24\/(-32). Let m = 1.8 + -19.8. Let v = m - -18.2. What is the closest to 1 in v, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 121928890 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1785882006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-12 - 7 - -37).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 16. Solve 20 = -i*h + 9*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 55 (b) -0.12 (c) -5 (d) -0.3 (e) -1272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/29, -0.5, -395 in increasing order.\nAnswer: -395, -0.5, -1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2915 + 448*s**2 + 2915 in the form l*s + f + p*s**2 and give p.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.061 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 11, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**4*v**2 + 1517541*h**4*v + 2255*h**2*v**2 - 2*h**2*v - 5433*v**2 - v wrt h?\nAnswer: -96*h*v**2 + 36420984*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:46 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 = 2*o, 1 - 4 = -3*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-4)\/(((-25)\/15)\/(220\/(-132)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - (0 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -99604.13927 rounded to 0 decimal places?\nAnswer: -99604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 50*y + 336.\nAnswer: -(y - 56)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6930.923 - -6931. What is the smallest value in -5, j, 4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 2. Let h = t + -9.1. Which is the smallest value? (a) -0.05 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.1, -1, -4\/7.\nAnswer: -1, -4\/7, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/203 + 613\/812. What is the third biggest value in 0.4, -2\/5, 3\/8, p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/3*r - 37\/3 - 1\/3*r**2.\nAnswer: -(r - 37)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 36. Determine o(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let x be y(3). Suppose g = x*g - 165. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*g - 8, g + 38 = -3*g + 54 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 69147?\nAnswer: 760617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/27 + (-2405)\/(-315) + (4 - 12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 5, 0.4, -10.3195, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17114 - 17114.0026686. What is z rounded to 5 decimal places?\nAnswer: -0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25d11 (base 16) to base 2.\nAnswer: -100101110100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 21*w**2 - 67*w**2 + 56 - 40*w**2.\nAnswer: -98*w**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -55*b**2 + 6*b - 381. Let p(c) = 15*c**2. Calculate h(p(y)).\nAnswer: -12375*y**4 + 90*y**2 - 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5744?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*w = -718, 443 = 3*p + 4*w + 2605. Let d = -378 - p. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (2 - (-2)\/(-1)). Suppose -42 = -4*w - 2*q + 4*q, -5*w + 39 = f*q. Let v(i) = -i**3 + 8*i**2 + 9*i + 10. What are the prime factors of v(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 64 = 4*j, 6*j - 73 = -4*h + j. Solve -h = 4*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/18 - (16 + -18). What is the third biggest value in c, 1, -0.319?\nAnswer: -0.319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:34 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 3*y**2 + 0*y**5 - 3*y + 0*y**3 + 0 - 37\/120*y**6 - 1\/8*y**4. What is the second derivative of t(w) wrt w?\nAnswer: -222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205873, -206479, -207085, -207691, -208297, -208903?\nAnswer: -209509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 25642.\nAnswer: 1\/12821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 19, 59, 115?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let t be i(11). Solve -t = -4*n + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from ttttddtddditdtdtttt.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12703651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 14\/5, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 43722 - 10892 = -a, 5*x = 4*a + 273097. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8901.804 days?\nAnswer: 12818597.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 64*k**2 - 702*k + 22472. Give g(32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1707*f + 1179 wrt f.\nAnswer: -1707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:48 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:01 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s. Let h(w) = -63*w**2 - 8. Calculate c(h(a)).\nAnswer: 252*a**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 4, r: 4, j: 1, q: 5}. Give prob of sequence pjq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-5 + 5 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 88, 1, 21, 0.014 in increasing order.\nAnswer: 0.014, 0.2, 1, 21, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 2*x. Let g be l(-3). Let o be (4\/(-22))\/(g - -13). Let u = -0.29 + 2.29. Which is the nearest to u? (a) 0.2 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -34*a - 56. What is the least common multiple of 832 and y(-2)?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, 53, 297, 649, 1115, 1701, 2413?\nAnswer: 3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 22*r + 24 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/8)\/(-5)*(-8)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18136.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (12 - (2 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4881730 rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30471?\nAnswer: 3, 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 3*u. Let k(q) be the second derivative of -q**5\/30 - 19*q**2\/2 + 42*q. Let f(o) be the first derivative of k(o). What is d(f(j))?\nAnswer: -4*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137561 and 1057.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366\/(-470) + 2572\/3215?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 50 = 4*p, -245*k + p - 50 = -249*k. Let z = -0.3 - -0.16. Put 0.3, k, z in descending order.\nAnswer: k, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2082744 and -18\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*s**2 - 53*s + 1 + 28*s - 6.\nAnswer: -5*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 279*p + 363. Let f(g) = -17*g - 22. Let h(r) = -33*f(r) - 2*z(r). Let c(j) = 367*j**2 + 2. Calculate h(c(m)).\nAnswer: 1101*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 8665661.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738816 divided by -8.\nAnswer: -92352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 36.\nAnswer: 29\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134803 - 95516. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 - 5)*(-3 - 4 + 1) + 3 + 4 - 5)*(l**2 + 3*l**2 - l**2).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 2774612?\nAnswer: -2774626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 446970659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 33. Let p = m - -7. Let w(r) = r**3 + 3 + 4*r**3 - 6*r**3 + 3*r - 3*r**2. Calculate w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h - 15. Let t be d(-13). Let b be 14\/10 + (-20)\/t. Put b, 3, -4 in increasing order.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1157 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*u + 71*u - 24 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -87, -0.086, -19, 3, 1?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -548*a**3 - 3127*a**2 - 3. Let c(r) = 7*r**3 - 2*r**2 - 1. Let j(f) = 5*c(f) - x(f). What is the third derivative of j(y) wrt y?\nAnswer: 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7429399 - 1.\nAnswer: -7429400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 9*y - 6. Suppose 11 = -5*j - 44. Let s be x(j). Which is smaller: s or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27287023 and 3417.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*-5*-1*sqrt(143))\/((-3*-3*sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(8)).\nAnswer: 20*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134038 (base 9) to base 8.\nAnswer: 2255404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 at least 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10\/7, -5, -0.4, -1, 1\/6?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*x + 20, 101*x - 102*x = -c - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 5*y**2 + 44*y**2 - 3*y - 41*y**2.\nAnswer: -6*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16508735.\nAnswer: 5, 61, 113, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from ssyysssysysyss.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(-2 - (-60)\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 40*c**2 + 111*c + 76. Let f be k(40). What is f rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unmwmyp. What is prob of sequence nu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let l(q) = -q - 113. Calculate l(a(x)).\nAnswer: 2*x**2 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38520 equal to 38540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (-6)\/(108\/213) and -68\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63646026 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**28*z*z*(z\/z**15)\/z*z*z*z\/(z\/(z*z**(-24)*z))*z**(4\/17) assuming z is positive.\nAnswer: z**(-81\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let b(f) = 4*f - 7. Suppose -37 = -5*j - 5*q - 42, 0 = 5*j - q + 5. Give j*b(y) - 2*z(y).\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 12 = -2*k, 5*t - 25*k + 23*k - 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1500814192 - -0.1935\nAnswer: -1500814191.8065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221300 (base 4) to base 7.\nAnswer: 10535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 + 3*v**5 + 22 + 8*v**2 - 6*v**5 + 5*v**5 + 5*v**5 + (0*v**2 - 3*v**2 + 4*v**2)*(-2*v**3 - 3*v**3 + 3*v**3) + v**5 - v**5 + 3*v**5.\nAnswer: 8*v**5 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -5 (c) 229 (d) -1\/5 (e) 107 (f) 0.1 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -40*f + 10. Let b be g(2). Let m be (3\/15)\/((-7)\/b). Factor -48\/5*d + 16\/5*d**3 + 8\/5*d**m - 36\/5 - 4\/5*d**4.\nAnswer: -4*(d - 3)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747468*g + 747543*g + 2475 = 0 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/902)\/((-350)\/770)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**6\/165 + h**5\/22 - h**4\/11 - 4*h**3\/33 + 8*h**2\/11 + 33*h. Factor a(o).\nAnswer: -2*(o - 2)**3*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198790.\nAnswer: 2, 5, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 4*i - 14. Let l = i + 6. Suppose -2*c - f = -c - 4, 0 = 2*c - f + 1. What is the nearest to l in 3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a factor of 70595175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 766.8 + -771.8. Let g = -2 - -3. Sort 2\/3, g, v, 1.8 in descending order.\nAnswer: 1.8, g, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10680 and 22214578.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 + 15*x - 1. Let q be h(7). Let r be (-2 - 0 - 0) + 4. Is ((-4)\/q)\/(r\/(-1185)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301533\/1375 + 2412\/11. Let r = 229\/875 - k. Let n = -6 - -11. What is the biggest value in 0.4, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 5*c**3 + 8 - 6 - 53.\nAnswer: -5*c**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 26. Calculate the least common multiple of 18 and h(6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + u - 23 - 3*u - 24.\nAnswer: -2*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2. Let q(h) = -5*h. What is q(g(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1607213850 and 14955.\nAnswer: 14955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6404317523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23294635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/3 + 142*c**4\/3 - 1375*c**3 - 64420*c**2\/3 - 253484*c\/3 - 94864 = 0.\nAnswer: -6, -4, -2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {d: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -3 (c) -57\/7 (d) 0.1 (e) 2 (f) 1 (g) -1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11164.5 - -11164. What is the second biggest value in -5, 39, h, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 200.7\nAnswer: -179.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 290.000766 + -290. Round x to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (30 - ((14 - 31) + 41)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(91\/84 - (-4)\/16). Let k(m) be the first derivative of s*m**4 - 2 + 12\/7*m - 18\/7*m**2 - 9\/7*m**3. What is q in k(q) = 0?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.83 rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -5300?\nAnswer: -5300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -50.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -202 and -144960.\nAnswer: -145162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 + 2804822\/1554 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24626 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33034 + 120?\nAnswer: -32d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 798 divided by 2\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**3 + 211*c**3 + 78*c**3 + 0*c**3.\nAnswer: 269*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/5 + 8556*c\/5 + 120176\/5 = 0.\nAnswer: -14, 4292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603574721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9586*a**2*t**3*w + 3*a**2*t**2*w**3 + 1610*a**2*t**2 + a**2*t + 5*a*t**2*w**3 - 9*a*t**2*w + 280*t**3*w**3 - 21*t**2 wrt t?\nAnswer: -57516*a**2*w + 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Suppose -w - 3*w + 4 = 0, -v*i + 2*w + 58 = 0. Solve -6*j - i = -j, -5*s - 2*j - 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3946, -4020, -4116, -4234, -4374, -4536, -4720?\nAnswer: -4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174.7*0.0955.\nAnswer: -16.68385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b - 25. Let q be (23\/(-2))\/((-6)\/12). Let m = q - b. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -5c9?\nAnswer: 5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1, 3, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/401280 and -13\/1056.\nAnswer: 401280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + a + 67812 = 0, 151*b - 150*b - 67809 = 4*a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 9 + 18*v - 9*v to the form g + f*v and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3 (c) 9 (d) 4 (e) 2\/3939\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 7160711?\nAnswer: 458285504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*(sqrt(99) + 1) - sqrt(99)) + -4*-1*sqrt(99))**2.\nAnswer: -7437 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*f + 31*f - 89*f)*(-6*f + 3*f + 0*f).\nAnswer: -258*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17212 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l - 3. Let y be ((-7)\/(-2))\/((-1)\/2). Calculate the remainder when i(2) is divided by 2\/y + (-102)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2081 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1007348896 to the nearest integer?\nAnswer: 31739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*h**4 - 247992*h**3 + 5125498632*h**2\/5 - 4099803744*h\/5 + 819921072\/5 = 0. Calculate h.\nAnswer: 2\/5, 8266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 - -10982387?\nAnswer: 10982145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320380 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396*x**3 - 149*x**3 + 13*x**3 + (-4*x + 4*x + 2*x**3)*(2 + 0 + 0) - 4*x**3 - 6*x**3 + 3*x**3 to v*x**2 + w*x + y*x**3 + i and give y.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 20, s - 5*y = -2*y + 11. Suppose 2*g + 4 + 14 = 0. Let v = s - g. Is v smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-28) + (-6)\/(-14). Let r = -30 - -30.46. Let a = r + -0.06. Sort 0, l, a in descending order.\nAnswer: a, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9350 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119\/3 - -40. Let j = -3 - -3. Let f be (-38)\/20 + (-2)\/(-5). Which is the biggest value? (a) n (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.65849 rounded to zero dps?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose t = q*t - 8. Suppose 2*b - t*g = 52, -15 = -b + g + 9. Calculate the lowest common multiple of b and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -13 + (20 - (6 + 2 - 8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 15 = 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2 - 184*f - 133 with respect to f.\nAnswer: 6*f - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 1215. Suppose -33*t + 64 = -35. Let j be ((-2892)\/s)\/4 + t. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 473 - 471. Suppose -2*j - x + 2 = -10, p*j + 3*x - 12 = 0. What is the least common multiple of j and 155?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*t**3 - 9*h**3*t + 2*h*t**2 - 3209*t**3 - 1903*t**2 wrt t.\nAnswer: -6*h**3 - 19254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - z - 2*z + 3 = 0, o = -4*z + 14. Suppose 2*b + 0*y - 130 = o*y, -5*y - 25 = 0. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/6*(40\/16)\/5. Factor -4\/3*t**2 + 0*t**3 + d*t**4 + 2\/3*t + 0 - 2\/3*t**5.\nAnswer: -2*t*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145124 and 1136.\nAnswer: 580496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:42 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 divided by -16?\nAnswer: -305\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 166*i + 115*i - 44*i - 1185. Let w = -4 - -6. Sort -3, i, w in decreasing order.\nAnswer: i, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 53978\/18 - (-18)\/81. Suppose -z - p = -2*y - 2*y, 5*z - 2981 = -4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/(k**(5\/6)\/k*k)*k)\/k)**36)**(-2\/3))**(-33) assuming k is positive.\nAnswer: k**924","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 0. Suppose -3*u + 2*b + h = 4, 0 = -3*u + 5*b - 5. Solve k - 3*a = -2*k - 3, -2*k - 2*a - 6 = u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + o - 495 = 0. Let d be ((-9)\/o)\/((-2)\/230). Solve 3*c + 8 - d = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 96142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 21*j + 17*j + 29*j - 84*j + 17*j - 354*j**2.\nAnswer: -354*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -549, -5 in decreasing order.\nAnswer: 3, -5, -8, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -1 (c) 1\/4 (d) 1\/5 (e) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 308, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3709, -7437, -11165, -14893, -18621?\nAnswer: -22349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.1. Let t = 76 + -76.1. Put w, t, 2\/15 in decreasing order.\nAnswer: w, 2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/2 + (2 - 3). Let q(i) = i**2 - 4*i + 9. Let f be q(d). Suppose 21 = 3*g - f. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeee when four letters picked without replacement from eqqeqqrrqxercrrreqcr.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/10))**(-3)\/(p**(7\/4)\/(p*p**17*p*p*p)) assuming p is positive.\nAnswer: p**(367\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) 5 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from gpgggpgop?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1104258222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46.96 and 1292.\nAnswer: 1245.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4187*h**6 + 172*h - 25*h**3 - 859*h**6 + 50*h**3 - 3*h**2 - 25*h**3 wrt h.\nAnswer: 399360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-640))\/((-138)\/8).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 + -11110?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**2 - 7*q - 35. Calculate d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 1, -661, 1\/3, -1?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/236, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/5)\/(2\/(-5)). Let a(g) = 0*g - m*g + 3*g. Let z(i) be the second derivative of i**4\/4 + 13*i. Calculate a(z(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1226543, -1226539, -1226535, -1226531, -1226527?\nAnswer: -1226523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -3\/13, -4.4, 0.2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*143\/(-78).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 346 - 97. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-7))**(-1\/8) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 22*r**2 + 28*r - 239. Let l(j) = -15*j**2 - 21*j + 159. Let z(k) = -7*l(k) - 5*v(k). Find the second derivative of z(u) wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013236528214 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - k + 2. Let q be x(1). Let n(z) = 19*z**2 + 3. Let h be n(q). Suppose 4*o - h = -86. Calculate the highest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -42, -62, -82, -102, -122?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 11 + 1 - 4. List the prime factors of o(-15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 plus 7664273?\nAnswer: 7664270.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16135884.\nAnswer: 2, 3, 439, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*d + 225*d = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/215 + -14671\/430. Let g = -69\/2 - n. Which is the nearest to g? (a) 4 (b) 0.4 (c) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/161)\/(360\/168).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 5*r**5 + 0*r**5 - 6*r**5 + 7*r**5 + 15*r**5 + (-r**2 + 5*r**2 - 2*r**2)*(2*r**3 + r**3 - r**3) + r**5 + 5 - 5 - 2 - r**5 + 2.\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*x**2 + 177*x + 24*x**3 - 10 - 78*x**2 + 38*x**2 - 38*x**3 wrt x.\nAnswer: -84*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 2\/((2\/5)\/((-315)\/(-75)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*p - 81*p = 127*p - 9500 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-783)\/1392 + 334\/38?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 36*i - 22. Let n be r(1). Let z be -1 + 2\/1 - 0. Calculate the highest common divisor of n and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/120 - m**5\/30 - m**4\/8 + m**3\/2 + 9*m**2. Let u(k) = -k. Let r be u(-2). Calculate w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {y: 1, n: 5, b: 4, k: 1, i: 1, w: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -5. Let o be 42*(-3 - v\/(-6)). Let m = o + -20. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32388 - -62375. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*q**3 + 451*n**3 + 290*n**2*q**3 - 2*n**2 wrt n?\nAnswer: 12*q**3 + 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4284 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 287\/5? (a) -2\/3 (b) 0.09 (c) -0.7 (d) -1\/4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269 + 239. Let q be (4\/114)\/(o\/(-405)). Which is the second smallest value? (a) -0.5 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102309829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 78705.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -86*l**4\/11 - 15830*l**3\/11 - 32408*l**2\/11 - 2184*l\/11 = 0.\nAnswer: -182, -2, -3\/43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 3.8. Put v, -0.2, 1 in descending order.\nAnswer: v, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2236207972 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 7}. Give prob of picking 3 l.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.156, -188\/151, -0.5, 0?\nAnswer: -188\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14423, 28773, 43053, 57263, 71403, 85473?\nAnswer: 99473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 420, 435, 450, 465?\n\"Answer: 15*i + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, 32, 148, 322, 554?\n\"Answer: 29*o**2 - 29*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:54 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 633749\/2 bigger than 316876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 9*h**2 + 22*h - 14. What is x(9)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2 + 2 - b)*(-20*b - 15*b + 14*b).\nAnswer: 42*b**2 - 84*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2 + 2*y - 8. Let m be (2\/(-4))\/((-1)\/8). Let j(t) = -t**2 + 1. Let r be (12\/(-8))\/(-3)*2. Let q(g) = m*j(g) + r*c(g). Calculate q(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586576 a multiple of 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 - 7*l**4 - 15*l**3 + 167*l**2 - 266*l + 120 = 0. Calculate l.\nAnswer: -5, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 793328, 793329, 793330, 793331, 793332?\n\"Answer: d + 793327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - 0.43. What is the smallest value in o, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 5, d: 5, i: 7}. Give prob of sequence rir.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26499 and 287985?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -17.3. Let m be ((-4)\/((-32)\/(-3)))\/(18 + (-507)\/26). What is the closest to m in 2, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 5*p**2 - 4*p - 7. Let n be y(6). Suppose -4*m + m = 4*s - 4, 5*s - 5*m = n. Suppose 7 - s = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 3. Let a be g(1). Suppose j + a*z - 19 = -0*z, j + z - 16 = 0. Calculate the highest common divisor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16991 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(448) + sqrt(7))*6)**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 38 - 40 - 56 - 50 + 36*q.\nAnswer: -3*(q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 66, 0.3, -5, -25?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -48, -108, -200?\n\"Answer: -16*z**2 + 20*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -35*j + 370. Suppose j*d = 3204 + 2388. What is d rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/8 - 21\/(-84). Let m(z) = -7*z - 6. Determine m(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrq when three letters picked without replacement from qryhh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9716168 rounded to the nearest 100000?\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 3*y**3 - 2*y**3)*(-20*y + 77*y - 80265 + 80288).\nAnswer: -171*y**4 - 69*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/x*x*x**(1\/2))\/(x\/x**0)**(8\/3) assuming x is positive.\nAnswer: x**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let f be d(1). Let z(c) = -c**2 - 2*c + 2. Let r be z(f). What are the prime factors of (8\/(-6))\/(r\/(-21))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 14 (b) -0.2 (c) 21328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12249 is divided by 5670.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 248 - 246. Calculate the remainder when 91\/p - 6\/(-12) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 14*p + 14. Suppose -n - 2 = 9. What is the tens digit of m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + s**2 + 28. Let v be n(-22). Suppose 8*y = -0*y. Suppose y = -3*l + v - 5308. What is l rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3 + 7*v**2 + 56*v + 48 = 0.\nAnswer: -4, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 19\/4. Suppose -3*m + j + 32 = 0, 4*j = -v*m + j + 30. Is m\/(-6) + (-490)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**3\/3 + 7*s**2\/2 + 3*s - 1. What is z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -209\/4? (a) -205 (b) 1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1266999 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/(c\/c**(1\/2)))**(3\/17)\/(c**(3\/4)*c*c*c**(2\/21))**(-31) assuming c is positive.\nAnswer: c**(127843\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 equal to 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17867 is divided by 5945?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d**2 - 8*d**4 + 18*d**2)*(-5*d + 3*d + 4*d) + 5*d**4 + 217201*d**3 - 217185*d**3 - 10*d**5 - 7*d**5.\nAnswer: -33*d**5 + 5*d**4 + 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 32*r**2 + 5*r - 6. Let x be i(4). Suppose -2*f + 2*a = -7*f + 2155, 2170 = 5*f + 5*a. Let p = x + f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z = 12. Suppose -z*q - 2096338 = 6303662. 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: Let f = -17 - -39. Let y(s) = 2*s**2 + s - 3. What is the least common multiple of f and y(-3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -651311 or -651312?\nAnswer: -651312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + -723929007.013?\nAnswer: -723929008.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 413\/28 + 2466\/72?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 986 and 8518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v - 746 + 1173 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -474\/7 or 0.01?\nAnswer: -474\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 16}. What is prob of picking 2 j?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 18 = 9*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**3 + 14*g**3 - 32*g**3 + (-6*g + 4*g + 14*g)*(-g**2 + 4*g**2 - 5*g**2) - g**3 + 8*g**3 + 6*g**3.\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 4*s + 33*s**3 + 44*s**2 - 4*s.\nAnswer: 33*s**3 + 44*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511021517.\nAnswer: 511021517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061692976 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -35, 25, 2 in decreasing order.\nAnswer: 25, 6, 2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 1249, -463 in descending order.\nAnswer: 1249, 3, -2, -4, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - o + 25, -2*o = 4*h + 5 + 1. Let j be 9\/h + 2\/8. Let m = 6 + -7. Which is the third biggest value? (a) j (b) 0.01 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.7 (b) -9 (c) -38.53 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 21 = 3*s - 11, a - 5*s - 14 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88146285 - -9696219721\/110. Let x = i + -1167. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:05 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 22*c**2 + 22*c + 9. Let j be w(23). Let k(q) = -102*q - 25. Is k(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18354 - 128482\/7. Which is smaller: j or 477?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4256868 and 13090.\nAnswer: 21284340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s - 5. Let r(k) = -3*k - 1. Let i be r(-2). Let z(w) = 3 - 2*w + 5*w - i. Let m(g) = 2*c(g) - 5*z(g). Let v(j) = -4*j**2. Determine v(m(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99669504 divided by -11104.\nAnswer: 8976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + f + 3 - 7*f**2 + 5*f**2 + 2*f**3. What is the remainder when w(2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**3 - 2*o**2 + 2*o**2 + (5*o**2 + 0*o**2 - 4*o**2)*(-o - o + o) as m + c*o**2 + p*o**3 + r*o and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 7. Let n be i(-3). Let j = n + 5. Suppose -j = -2*k - 0*k. Solve 5 = -3*w + k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 21872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*u - 3, -1 = -71*d - 5*u + 3 + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 0.2, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0304 - 0.0696. What is the second smallest value in -1, -0.185, 4\/9, l?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876b (base 15) in base 7?\nAnswer: 450125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04866*1402.\nAnswer: -68.22132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4718.415 weeks?\nAnswer: 2853697392000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**24\/(c**(-6)*c))\/(c**(20\/7)\/((c\/c**(-25))\/c)))**22 assuming c is positive.\nAnswer: c**(7876\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -1.2. Let v = -13 + 13.4. Which is the second biggest value? (a) v (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z + 7. Let r(p) = -8*p - 4. Let u(h) = -3*b(h) - 5*r(h). Let j(c) = -c**2 + 5*c + 2. Let s be j(5). Give u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 28*f + 147. What is m(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/5 and -16\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11 - 7 + 13 - 17 - 185*z. Let x(f) = -12*f**2. What is v(x(r))?\nAnswer: 2220*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 - -0.62. Let u = 0.7 - o. What is the nearest to 1\/4 in -2\/9, 2\/19, u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -465 - -469. Let z(y) = -y**3 + 9*y**2 - 10*y + 20. What is the remainder when z(q) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 331?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2279, 7448, 16063, 28124, 43631?\nAnswer: 62584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1027\/143 + 4\/(-22). Let c(u) = -15*u**2 + 9*u**2 - 3*u + j*u**2. Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12467 at least 4.64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86\/35 + 26\/35. Which is the biggest value? (a) 4 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 42176*s - 3. Let l(p) = 1230*p**2. What is h(l(f))?\nAnswer: 51876480*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -84. Let d(x) = -x**2 + 20*x + 7. Calculate the smallest common multiple of d(20) and s.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/61641 and -47\/80982576?\nAnswer: 728843184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 75852700 rounded to the nearest 1000000?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + 219?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 117.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 4. Suppose -837 - 125 = -26*o. Calculate the remainder when o is divided by h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39988213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24494*d**4*w - 32*d**3*w**2 - 15976070*d**2*w**2 + d**2*w wrt d.\nAnswer: -587856*d*w - 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.53 and -3.1085?\nAnswer: 32.732505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + 0*f - 2*f + (-f + 2*f - 3*f)*(5 - 3 - 3) + 0*f - 3*f + 2*f - 45*f + 157 - 157)*(5 - 6 + 5) in the form p + t*f and give t.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*m + 1 = 0, 18*b = 14*b + 3*m + 9. Sort b, -5, -1, -19 in decreasing order.\nAnswer: b, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*f**2 - 269*f + 269*f)*(-f + 0*f + 0*f)*(0*f + 0*f - 2*f)*(-33 + 13 - 8) in the form m + o*f + r*f**4 + g*f**3 + b*f**2 and give r.\nAnswer: 2968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = p, d - 4*p - 18 = -13. Solve -d*g - 3 = -3*z, -109*z - 2 = -111*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*f**2 + 107*f**2 - 288*f**2.\nAnswer: -683*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209630 and 285?\nAnswer: 11948910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x - 3. Let s(t) = -4*t + 3. Give 5*d(g) + 6*s(g).\nAnswer: -4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 50. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2465.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76 - 4ce?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x - 30648 = -30763. Solve 0 = 4*l + 5*k + 2, -7*l - 22 = -3*l - x*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 9*k**2 + 11*k + 15. Let c be x(-10). Suppose c*d - 16 = 4*d. Calculate the smallest common multiple of d and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843280\/18288 + -47 + 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 bigger than 1.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 15 = 7*k. Suppose -4 = k*g - 7. What is the derivative of -23*h + 22 + 23*h - 33*h**3 - g wrt h?\nAnswer: -99*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -7*b + 7096 - 7246, -5*b - 102 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 136*b + 2516. Give t(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.09 + -0.09. Let k = -96.7 + j. Which is the second biggest value? (a) -2 (b) 2 (c) -2\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 18165511?\nAnswer: -18165509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m + 1 + 0*m + 2*m + 5*m. Let q be a(-2). Put 5, q, 1\/3 in increasing order.\nAnswer: q, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*4\/24*-6. Suppose -y + q + 22 = 0, 4*y + 3*q - 43 = 24. Let o be 4 + (-48)\/9 - y\/(-3). Solve -c*a + o*a + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = 32*z + 24*z + 443 + 1375 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1322, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.9 and 5.\nAnswer: 54.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 67076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 1\/12*u**4 - 11*u + 0 + 0*u**2 + 0*u**3 + 3\/20*u**5. What is the third derivative of h(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116586 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/35)\/(42\/(-70))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-5)\/(-5)*6\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/12 - 77*s**5\/60 + 8*s**2 - 1. Find the third derivative of x(r) wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/1223 + 30980\/99063. Find the common denominator of -19\/414 and n.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 11*p**2 + 12*p. Let w be n(11). Let d = w + -1454\/11. Let t be (-77)\/(-11 + 18) - -11. What is the fourth smallest value in -0.1, d, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 45*k + 81. Calculate o(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 - 10*i + 5. Calculate w(4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8*1\/(-24))\/(1 - -1). Let r(c) be the second derivative of 1\/120*c**6 - 1\/20*c**5 + 2*c + 1\/8*c**2 + 1\/8*c**4 - d*c**3 + 0. Factor r(n).\nAnswer: (n - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 51. What is the second smallest value in -7, -0.3, -1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 309787302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + -8. Let j = z + 116. Calculate the remainder when j is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3084*c**2*h*n + c**2*h*y + c**2*h - 272*c**2*y + 299*c*h*n*y - c*n + 5*h wrt y?\nAnswer: c**2*h - 272*c**2 + 299*c*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161485*y**5 - 2*y**4 - 40*y**3 - 91763046*y**2 wrt y?\nAnswer: -9689100*y**2 - 48*y - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7802, 7801, 7800, 7799?\n\"Answer: -c + 7803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/11 and (-17)\/2*21\/9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 2*p - 7)*(-12*p**3 + p**3 + p**3) + (-2 - 1 + 4)*(2*p**2 - 2*p**2 + p**4) as d*p**3 + z + m*p**2 + t*p + q*p**4 and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b - 18. Let c(r) = 5619*r - 2816*r - 2805*r. Give d(c(p)).\nAnswer: 16*p - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or 0.05?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 44 = 8*m, 5*l = -277*m + 272*m + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -69084412 and 17.89.\nAnswer: -69084394.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 266 * -6869\nAnswer: -1827154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 6. Calculate m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 968261386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -80388 divided by 2772\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-284)\/6)\/(15\/(-18)). Let h = y - 57. Let q = -1.5 + 2. What is the third smallest value in -2\/21, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53206, -53208, -53210, -53212, -53214?\nAnswer: -53216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -514 (base 14) to base 12\nAnswer: -6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Solve 2 - n = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + 2*(-2 + sqrt(99) + 0 + 1))**2 + -2).\nAnswer: -60*sqrt(11) + 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**3 - 206331*x**2 + 618966*x = 0.\nAnswer: 0, 3, 68774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q - q - 14*q**2 - 4 + 15*q**2. Give g(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -h + 4, 5*j - 3*h + 5 = -17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 39535.9.\nAnswer: 39532.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9827465951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 4. Let g(f) be the second derivative of 2*f**3\/3 + 9*f**2\/2 - 9*f. Calculate 2*g(j) + 5*v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = k + 1, 2*v + 4 = -k. Let w(y) = -y**3 - y**2 + 1. Let o be w(k). Solve -25 = 5*f + 4*p + p, 15 = o*f - 3*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141415 (base 8) in base 6?\nAnswer: -1023101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10 and 79\/1156540?\nAnswer: 1156540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 23*b - 2. Let k(h) = -5 + h - 3*h - 4. Let c be k(-6). Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-4))\/(19\/(-76)). Suppose 3*a = -v*m + 480009, -a - 479991 = -5*m + 2*a. Round m to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzzyzzzzzyyzztyz. Give prob of picking 3 z.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let a(k) = 1. Calculate a(x) - 3*p(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1227 - -1310.26. Let t = m - 3.76. Let q = -80 + t. Put q, 1, 0.5, -1 in decreasing order.\nAnswer: 1, 0.5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(152)\/(-1*sqrt(8)) - 2*sqrt(76)\/sqrt(4)) + 3*sqrt(38)\/sqrt(72) + -5)**2.\nAnswer: 145*sqrt(19) + 16079\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-15) - (-1316)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 47*b**3\/3 + 3*b - 71. Let c(k) = -k**2. Give c(m(a)).\nAnswer: -2209*a**4 - 282*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 0.51, -87?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -113, -326, -899, -2012, -3845?\n\"Answer: -30*k**3 - 3*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.796*-0.2\nAnswer: -0.7592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 12, t: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 + 3*f - 9. Give h(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*l + 244 - 216 = -2*a, 4*l + l - 7*l = -4*l for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282731.4 weeks to minutes.\nAnswer: 2849932512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 43. Suppose 4 = -i, 4*i - 51 = -4*m + c. Let q = m + -16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -613*o**7\/210 - o**6\/120 + o**5\/30 + 547*o**4\/8 - 2*o**2 + o - 722. Find the second derivative of l(y) wrt y.\nAnswer: -7356*y**2 - 6*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000104104 rounded to 6 decimal places?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let m = 1 - u. Which is the third biggest value? (a) -3 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.249 + -0.349. Let f be 2\/10 - (-81)\/(-180). Which is the second smallest value? (a) f (b) k (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433902*t - 729536*t - 1230235*t.\nAnswer: -1525869*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81767 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 25*h + 1. Give o(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -359251346 to the nearest 10000.\nAnswer: -359250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w - w**4 + 2 + 7*w - w**2 - w + 0*w**2 in the form n*w**2 + g*w**3 + r + o*w + l*w**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 1.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -4. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 3*i**8\/224 + 29*i**7\/420 + 11*i**6\/80 + i**5\/8 + i**4\/24 + 446*i**2 + i. Find f, given that m(f) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = w, 5*p - 36 = 5*w - 1. What is the remainder when 14 is divided by 1 + p + 1 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**5\/5 + q**4 - 2*q**2 + 2*q - 121. Suppose z(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 5. Let s be h(6). Suppose -4*i - s = -29. Solve 7 + 1 = -i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:00 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 149, 170?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*i - 986 + 10459, z = 4*i + 3135. Solve 0 = -z*x + 3158*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7747, 7738, 7719, 7684, 7627?\nAnswer: 7542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 124650*i**2 + 4614788*i = 0.\nAnswer: -37, 0, 62362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - i + 3*i)*(-27 + 29 + 8*i + 4*i) to k + v*i + w*i**2 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/4)*n)**(-31)*n**(-4)*n**(2\/17) assuming n is positive.\nAnswer: n**(-7115\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 276784, 2212270, 7465740, 17696188, 34562608, 59723994, 94839340?\n\"Answer: 276499*h**3 - 2*h**2 - h + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -58 + 0\/(-3). Let w = 64 + g. Is 652 - w\/(40\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one fifths of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 3*z**4\/8 + 187*z**3\/6 - z**2 + 145. What is the smallest common multiple of x(-19) and 76?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -434 (c) -20411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(13) + -4)*2 - (sqrt(208)\/(-1*sqrt(4)))\/sqrt(4)).\nAnswer: -3*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1140, -1441, -1732, -2007, -2260, -2485?\n\"Answer: p**3 - p**2 - 305*p - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -22 + -3 + 10. Let d be (p\/12)\/((-4)\/6). Solve -3*i + 8 + 9 = n, -29 = -5*i - d*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7451803ug to tonnes.\nAnswer: 0.0000000000007451803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 7*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -187*w. Let d(z) = -8*z. Give d(n(h)).\nAnswer: 1496*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 366956811 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 2, 3, 22 in descending order.\nAnswer: 161, 22, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 21*d. Give a(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + 204. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 8:01 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from rhb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-94)\/14 - (-22)\/(-77). Let a(r) = r**2 + 8*r + 4. Give a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316629.\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + g)*(3675*g**2 + g - g - 3690*g**2).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13717 divided by 3.\nAnswer: -13717\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -35*d - 17. Let m be j(5). What is the tens digit of (-9)\/(-3) - (m - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (333\/296)\/(-9)*-376.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 60 = 12*b - 42*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 3\/2 (c) -74 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3472 (base 11) to base 7.\nAnswer: -16166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.34, 1\/4, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45, -3, 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {f: 8, z: 2, s: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from {k: 2, t: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -2. Let k be (-12)\/(-10)*(-1)\/3. Which is the second smallest value? (a) 2\/5 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6513 and 2.2.\nAnswer: 2.8513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 912147827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/120 and 91\/50.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -27625.5 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n + 14. Let i be w(0). What is the highest common factor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 986 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(n**4 - 2*n**4 + 2*n**4) + 25*n**4 - 22*n**4 - 19*n**4 + 2*n**2)*(8*n - 3*n + 5*n)*(-1 + 7 - 2).\nAnswer: -600*n**5 + 80*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51\/4 + -157\/12. Let v = 1211 + -1204. Which is the closest to h? (a) v (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408220 is divided by 407502.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/20 in -1, -1\/2, 1\/3, -4\/7, 0.05, 969?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2 + 1328*o - 110224 = 0. What is o?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 158804 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**2 + 589420*n - 17370796820 = 0?\nAnswer: 58942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/40 - (-28)\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6931?\nAnswer: 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.19 + 11.91291.\nAnswer: 10.72291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (4 + -4))\/(-3). Are 1\/37 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-20)*((-18)\/45)\/((-34)\/60)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -513 - -734. Let y = -214 + i. Calculate the remainder when 20 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2101429ng in milligrams?\nAnswer: 0.0000002101429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (0 + -1))\/((-20)\/40). Suppose -x*p - 1584 = -8*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**3 + 53*u - 3*u**3 - 55*u + 4 - 5 in the form f*u + h + v*u**3 + g*u**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 37*-0.2\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128\/5 - 26. Let z = 76 - 607\/8. Let j = 1.2 + -5.2. Sort v, z, j in descending order.\nAnswer: z, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 28*s + 10 - 56*s to j + o*s and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + k + 3 - 7*k + k**2 + 10*k = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 0.2?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 + 3*n - 3. Let o(s) = 9*s**2 - 6*s + 5. Let h = 26 - 22. What is h*o(q) + 7*i(q)?\nAnswer: q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (0 - -3)*-1. Let t = s - -3. Let j be -250*1*(t - 18). Round j to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(40) - sqrt(160)\/sqrt(4)) + sqrt(40) + (sqrt(40) - sqrt(640))*-2)\/(-2*sqrt(8)*-3*-6)*-1.\nAnswer: 7*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - 2130*u - 35868. Calculate k(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1787166643 to the nearest integer?\nAnswer: 42275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-96)\/8 - -3) + 3. Let h(g) = 5*g + 14. Calculate h(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 8:10 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*g + 39. Let u(v) = v**2 - v - 1. Let x(h) = -14*h**2 - 22*h - 3. Let k(j) = g*x(j) + 6*u(j). Find the second derivative of k(a) wrt a.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2482, -1, 4, 2 in descending order.\nAnswer: 4, 2, -1, -2482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 10*w**2 + 11*w + 2. Let p be k(9). Suppose -y = -4*j - j + p, -3*j + 12 = y. Solve j*s - 6*s - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3164 + -5.91. Let j = -0.03 - -0.43. Let o = u - j. Round o to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -560*f + 1668. Let z be i(3). Put 45, z, 1 in ascending order.\nAnswer: z, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyyy when four letters picked without replacement from yyjyyjyyyyyyyyyjjyyy?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2658*s + 461. Is m(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*i + i. Let f be (-2)\/i - 4\/44. Solve f = 8*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {q: 2, e: 1, c: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25445 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 2. Determine i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) 10 (d) -1\/9 (e) -0.5 (f) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**2 - 9166*f - 64223. Calculate a(-7).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 28*x**3\/3 - 8*x**2 + 26. Find the second derivative of r(m) wrt m.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 3. Let j(p) be the first derivative of p**3\/3 - 5*p**2 + 11*p - 19. Let k be j(8). Give b(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.3. Let n = -1.863 + -0.137. Let w = 6.1 + -6. Which is the nearest to w? (a) n (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 + 19*u - 16. Determine k(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6849, -6845, -6839, -6831?\n\"Answer: s**2 + s - 6851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1\/(-2))*-114. Suppose f + a = 5*s, -4*s = 5*f + 18 - 52. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10372344 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 608223713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 2397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 13*n = 1117 - 865 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-27) + 5\/((-5)\/2). Which is the second smallest value? (a) 3\/5 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k*k**(-3\/5)*k)\/(((k\/((k\/k**12)\/k))\/k)\/k*k*k**(-8)\/k))**(-30) assuming k is positive.\nAnswer: k**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2040 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 11*l + 7. Let d be (3\/2)\/((-24)\/(-64)). Let g be d\/(-22) - (-520)\/(-44). Let u be x(g). Put u, -1, -3 in decreasing order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2589.3 + -2592.3. What is the closest to j in -0.124, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/((-270)\/(-225))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(2\/5)\/s))**(-30\/13)\/(s**1)**(-5\/2) assuming s is positive.\nAnswer: s**(-31\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10*o + 5*o + 14*o - 9*o - 15*o.\nAnswer: -15*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 2*q = -18*j - 19475, 0 = 5*q - 5. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**21)\/q**6)\/(((q\/(q*(q*q**(-2\/29))\/q))\/q)\/q**5) assuming q is positive.\nAnswer: q**(-582\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3126298818 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2306.207 + -2304. Let l = -0.053 - i. Let w = -3.5 - l. What is w rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*p + 15, 3*i + 13*p = 14*p - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165686761 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 3\/62 (b) -36 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132717, -1\/18, 4, 1\/4 in descending order.\nAnswer: 4, 1\/4, -1\/18, -132717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -18. Let m(g) = -4*g + 1. Let l be m(-1). Solve 25 = -b - l*r, b + 5*r - 3*r = -a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -112.81?\nAnswer: 113.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1093150, -1093149, -1093148, -1093147?\n\"Answer: m - 1093151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 297 + 276. Let d = t - 186. Calculate the least common multiple of 50 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 533534?\nAnswer: -533525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:51 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*s + 473 = -194 - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233543 is divided by 233485.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 61. Calculate the remainder when o is divided by 3 + 1\/(-1)*-10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10692330 to the nearest 100000.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**4*a)\/a)\/a**(-1\/3))\/(a**1*a*a*a**2\/a) assuming a is positive.\nAnswer: a**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46201.70362 rounded to the nearest one hundred?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(1 - 2))\/(39\/65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 155*y**2 - 6*y - 3. What is the hundreds digit of r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -16. Let n be 5\/(w\/(-18))*1. Let s be (5 + 0)*(-48)\/(-5). Calculate the greatest common divisor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, 4, -4 in ascending order.\nAnswer: -4, 1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526632 is divided by 881549?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3209.\nAnswer: 3\/3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u - 2. Let m be w(-4). Let k be 77\/14 - m\/4. Suppose -3*t + k*t = -2*x + 27, 57 = 5*x - 3*t. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-2))\/((-2)\/4). Suppose -m = 2*h - z + 2*z, 4 = 2*h - 4*z. List the prime factors of h\/6*(-21)\/1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.285\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4 - 3859*n**3 + n - 13879 wrt n.\nAnswer: 12*n**3 - 11577*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100, -108, -118, -130, -144?\n\"Answer: -k**2 - 5*k - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/145 + (2088\/105 - (-8)\/(-28))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/94? (a) 0.5 (b) -0.07 (c) 0.1 (d) 1\/3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 116\/478241?\nAnswer: 116\/478241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, i: 1, y: 6}. Give prob of sequence piy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -6 (b) -3 (c) 5 (d) -0.2 (e) 2\/3445\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.76722 decades in centuries?\nAnswer: 4.376722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/5 - ((-48)\/15 + 3). Let n be s\/(4\/(-16)) - (1 - 3). List the prime factors of (6\/9)\/2 + 166\/n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -16. Suppose -3*y - g = -8*y. Let q = -2 - y. Sort -1, q, 5 in decreasing order.\nAnswer: 5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4\/4 + g**3\/3 + g**2\/2 + 67*g - 10. What are the prime factors of x(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 1023, 1623, 2391, 3333?\nAnswer: 4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7415.568 nanometers to micrometers.\nAnswer: 7.415568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:09 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*h + 56 = 0, 25*l + 4*h = 23*l + 118. What is the greatest common divisor of 25 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 127*f + 505. Let j be m(-4). Let g(p) = 2*p + 3 - 2*p - p. Calculate g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:51 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r + 28 = 5*d, -4 = r. Find the common denominator of (-1*(-1)\/d)\/((-7)\/(-98)) and 0 + -2 + (-134)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 28972954?\nAnswer: 86918862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*z + 1451*t - 1447*t - 17, -15*z + 2*t + 29 = -2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1576331833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o. Suppose 16 = -2*r + 4*r. Let g(c) = -c + 1. Let v(b) = r*g(b) - m(b). Calculate v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2759588.1 nanoseconds in hours?\nAnswer: 0.00000076655225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -49*c + 368. Let x(i) = 49*i - 370. Let v(y) = -7*x(y) - 6*z(y). Is v(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 273416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 14*p**2 + 27*p - 70. What is y(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.27, -0.1?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15561269509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 290129083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2805 + -14027\/5. What is the biggest value in f, 0.05, -0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1720 and 20480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023956 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -238487 = -241083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*5*2\/20. Solve -4\/5*t + 2\/5*t**2 + c + 4*t**3 = 0 for t.\nAnswer: -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-6))*v**3)\/((v*v**(-2\/13)*v)\/v*v\/v**(-3)*v))\/(v**(-2)\/(v**(1\/3)\/v)*(v**(-2\/3)*v*v*v*v)**(-2\/19)) assuming v is positive.\nAnswer: v**(-1769\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 421 - 119 = 0. Suppose 8*d - 3*d = n. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 67\/268*8\/(-6). What is the smallest value in o, 17, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 12 = 2*y. Let x(m) = -3*m + 3. Let o(d) = -3*d + 1. Let s(u) = y*o(u) - x(u). Let r(z) = 30*z**2 + z. Calculate s(r(a)).\nAnswer: -180*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3205128710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 1867*h**2 - 415693*h + 51694. Give x(2068).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-3)\/(-6))\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 10 = -5*h + i + 14, -5*i - 655 = -155*h + 275 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:56 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/8 - 1\/8. Let x = 0.2 + -0.2. Let t = 0.2 + -0.1. Which is the closest to x? (a) -3 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-192)*(-304)\/8*3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*f**4 + 2*f**3 + 594*f**2 + 534330*f.\nAnswer: -192*f**2 + 12*f + 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/130*(-55)\/814. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5*m**3 - 542*m + 542*m.\nAnswer: -5*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 77*i**2 - 2*i - 39. Let f(r) = 80*r**2 - 2*r - 45. Calculate -6*f(b) + 7*z(b).\nAnswer: 59*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(15\/5))\/1. Suppose -k + 3*k - 4150 = m. Let y = k - 1236. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 2657193*g + 5314398.\nAnswer: -3*(g - 2)*(g + 885733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -201*(-180)\/14688 + -2 + 0. Let l be (-7)\/17 + (0 - -1). Let t = h - l. What is the second biggest value in t, 0.1, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4 + 333675*q**3 + 8008776*q**2 = 0. What is q?\nAnswer: -24, 0, 333699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2422 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/60 - f**4\/2 - 7*f**3\/6 - 4*f**2. Give m(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k - 31*k + 3*k + 2*k - 2*k + 2*k + (1 - 4 + 1)*(-2*k + 0 + 0) - 2*k - k - 2*k + (-5*k + 4*k + 3*k)*(-2 - 1 + 1).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*b - 4176 = 0, -d - b = -4*d + 2500. What is the greatest common factor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from fkfvvfffkvkk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333, 335, 337?\n\"Answer: 2*x + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - 4)\/((-1)\/5). Let p = l - 46. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/32)\/(2\/(192\/20))*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/52*(392\/24 + -15). Let g = -0.22 + 9.22. What is the third smallest value in l, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 10. Suppose 0 = 3*y - 0*y + z. What is the common denominator of (2\/y)\/(4\/(-84)) and 59\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*i + 18, -75*h - 24 = 2*i - 79*h. Let 0*k + i - 2\/5*k**2 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22750910 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (3 + (-50 - -19))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 6, s: 5}. What is prob of sequence od?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(325)*6 + ((sqrt(325) + -2 - sqrt(325))*4)**2 - (2*5*(-3 + sqrt(1053)))**2.\nAnswer: -106136 + 5430*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22.5 times -5\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 200230, 200138, 200046, 199954, 199862?\n\"Answer: -92*z + 200322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1211 + -1156 + -1 + 11\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3469887072 by 3.\nAnswer: -1156629024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30008124 is divided by 272.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 20*f + 9. Suppose -5*z = 4*k + 38, 4*k - 22 = 8*k - 3*z. Let v be i(k). Let p(t) = t**2 + 0*t**2 - v*t**2. Let a(x) = x. Give a(p(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 5. Suppose 0 = 4*k - 4*n + 17 - 5, -2*k - 6 = 5*n. Sort k, -16, f in ascending order.\nAnswer: -16, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 73470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 205*z**2 + 7920*z - 21780.\nAnswer: -5*(z - 22)*(z - 3)*(z + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020.23um in centimeters?\nAnswer: 0.502023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -27*x**5\/2 + 51*x**4\/2 + 8201*x**3\/6 - 37157*x**2\/6 - 4060*x\/3 + 18502\/3 = 0.\nAnswer: -11, -1, 1, 58\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021075341.\nAnswer: 3, 11, 13, 2380129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 64*f**2.\nAnswer: 4*f**2*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -41) + (966\/28)\/(-2 - 4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222524 is divided by 64343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 4*u**2. What is the units digit of o(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8760 and 13616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 1. Let t be c(-7). Let a(k) = k + 15. Let r be a(t). What is the tens digit of (-495)\/(-12) - r\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24956608?\nAnswer: 2, 389947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30c7 + -87?\nAnswer: -314e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -5*p**3 - 21*p**2\/2 + 6*p + 2. Let l = -20 + 9. Let y(i) = -3*i**2 - 4*i + 1. Determine l*y(h) + 2*g(h).\nAnswer: 3*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 10*c + 10. Let d be l(-7). Let z = d - 48. Suppose -4*f + 0*f - 3*o + z = 0, -f - 2*o = -11. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/23 (b) 2\/7 (c) 13 (d) -734 (e) -5 (f) -0.5 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 285170 + -5991236\/21. Let h = -127 - i. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 + 6*b + 7. Suppose -6*v = v - 56. Suppose -5*p = -2*d - 4*p - 8, -2*d = -5*p - v. Calculate f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4894.9 - 4895. Is 1448 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4675, -18769, -42341, -75427, -118063, -170285, -232129?\nAnswer: -303631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 78 = h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 411825.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 3, q: 7, l: 5, v: 3}. What is prob of picking 2 l, 1 s, and 1 v?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5020, -4997, -4974, -4951, -4928, -4905?\n\"Answer: 23*b - 5043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + 6.62. Let h = g + -6.8. Let u = -2.06 + 1.96. Which is the closest to u? (a) -28\/3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7 minus 0.075902?\nAnswer: -10.775902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465509.\nAnswer: 11, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 + 3*w**2 - w + 2. Let d be b(2). Calculate the common denominator of (3\/d*71)\/8 and (-4)\/7*(10 - 17\/(-544)*-478).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 2*q**2 + 3*q - 2. Let p be c(3). Let z = 2 + -3. Put 3, z, p in increasing order.\nAnswer: p, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 22*t**3 + t**2 - 2*t - 2. Let s(j) = 44*j**3 + 2*j**2 - 5*j - 5. Determine 2*s(q) - 5*u(q).\nAnswer: -22*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 857.4 + -857.07192. Round z to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22200)\/510 + 40 + 14\/4.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.02 + -32. Let q = -0.14 - -0.06. Let z = q - s. Which is the closest to z? (a) 1 (b) 0.3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137, -1139, -1143, -1149?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgptkavatkgt. What is prob of picking 1 a, 1 k, and 2 t?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.674 + -104919150697.\nAnswer: -104919150697.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.8. Let u be (-3)\/3*9 + 0. Let o be ((-3)\/u)\/((-11)\/6). Put 2\/11, y, o in descending order.\nAnswer: 2\/11, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44596381.\nAnswer: 44596381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.93 + -0.67. Which is the biggest value? (a) -4 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6315.352ms?\nAnswer: 6.315352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5\/7 + 2*l**4 - l**3\/7 - 36*l**2\/7 + 4*l\/7 + 16\/7 = 0.\nAnswer: -4, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39507569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 - -32. What is the highest common divisor of 34 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -2, 1, 8, 19, 34, 53?\n\"Answer: 2*w**2 - 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/2)*q*q)**(-26)\/((q*q**(-1\/2)*q)\/(q\/((q\/q**11)\/q*q))) assuming q is positive.\nAnswer: q**(-215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/3185 and -23\/2730.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a**(1\/7)*(a\/a**(2\/13)*a*a*a)\/a*a*a**7)**(-40) assuming a is positive.\nAnswer: a**(-43640\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224387 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -4 - 4 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/(-2))\/(18\/((-2088)\/493)). Factor -1\/6*h**3 - 26\/3 - 25\/3*h**j + 103\/6*h.\nAnswer: -(h - 1)**2*(h + 52)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 - (0 + -2). Let n = i - -6. Suppose 5*d - 75 = -n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7306844*g**2 + 4*g - 4*g + 39 - 56*g**3 - 7306842*g**2.\nAnswer: -56*g**3 + 2*g**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 4:41 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8430 divided by 5.\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/2, 217065, 16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1390)\/(-1390)*((-16)\/2 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/30 and 7\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -13*u. Let s(t) be the first derivative of 53*t**3\/3 + 1080. Determine s(m(q)).\nAnswer: 8957*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-40) + 22\/(-10). What is the common denominator of 43\/12 and -2 - -1 - 254\/(-48)*r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 37 - 6*d**2 + 2*d**3 + 29*d**2 - 2*d**4 + 26*d**2 + 2*d - 18 to the form s + v*d + g*d**2 + z*d**3 + r*d**4 and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3734.8 to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 19*x - 11. What is the lowest common multiple of 8 and ((-99)\/6 + x)\/(1\/(-12))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32633 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s**2 - 8*s + 9. Let p be j(-9). Does 15 divide (p\/(-14))\/(112\/392)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 16 + (-14 - -9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-882)\/324)\/(-49))\/((-20)\/(-48))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3643*n - 58292. Determine a(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103\/12 - -53\/6. Suppose -11*k + 6*k = 25. What is the nearest to 3 in -3, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, t: 11}. Give prob of sequence ytt.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c**2 - 2*c + (55*c - 27*c - 20*c)*(-4*c + 0*c + c))*(1 - 1 - 2 + (3 - 4 - 2)*(-1 - 1 + 4)).\nAnswer: 176*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 3*d - 5. Let g(u) = -2*u**2 - 4*u - 6. Let p(l) = -5*g(l) + 6*s(l). Give p(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 + 26*f**2 - 4*f**2.\nAnswer: 41*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzx when three letters picked without replacement from {x: 1, z: 2, h: 1, k: 1, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824 divided by -7951?\nAnswer: 1824\/7951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219 + 215 - 200)*(-3*k - 1 + 1).\nAnswer: 612*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*l + 4*v, 2*l - 2 = -2*v. Let g be (3\/(-2))\/(l\/2). What is the common denominator of ((-1)\/(-6))\/(g\/(-309)) and 27\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 112746410 to the power of 1\/2, to the nearest integer?\nAnswer: 10618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 3*g + 1. Let v(r) = 9*r**2 + 5*r + 3. Determine 3*v(l) - 5*z(l).\nAnswer: 2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 47*f. Let o(a) = -101*a**2 - 161. Determine t(o(n)).\nAnswer: -4747*n**2 - 7567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 41\/14318442 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573 is divided by (-110832)\/(-840) - 36\/(-630)?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97981555 a multiple of 2039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 8. Calculate t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 649 = -5*f, -3*y - 519 = -642*f + 638*f. What is the remainder when f is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 0, -1, -7257?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49158 and 594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66553, -66548, -66539, -66526, -66509, -66488, -66463?\nAnswer: -66434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134561 is divided by 13456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67150 - 2431?\nAnswer: -71601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4. Let h be l(2). Suppose 6*d = -12 - h. Sort d, -3, -4 in increasing order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000095446 to six decimal places.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -849 - -3088878.\nAnswer: 3088029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 - -743\nAnswer: 743.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.03 and -7104.\nAnswer: -92565.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 10. Let l be t(-6). Let n(p) = p**2 + 3*p + 1. Let g be n(l). Put 0.02, g, 2 in decreasing order.\nAnswer: 2, 0.02, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -23*b - 495. Let n be a(-21). Sort 1\/5, n, 117 in ascending order.\nAnswer: n, 1\/5, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4154075.\nAnswer: 5, 89, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b + 4*y + 1, -3*b - 5*y = -6. Solve b*r = 8*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 7*d + 17. Let v be x(-5). Solve -q + v*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105618 and 870?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**6\/9 + 56*y**5\/45 + 173*y**4\/18 + 68*y**3\/3 + 220*y**2\/9 + 112*y\/9 - 78. Solve r(c) = 0 for c.\nAnswer: -2, -1, -2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 7*q - 3. What is x(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*n + 0 - 3 - 44*n**2 + 72*n to the form j + q*n**2 + r*n and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266\/153 - 22\/17. Let r be (3 - 1) + -1*1. What is the second biggest value in -0.5, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 - -104. Suppose 5*o + 321 = w, o = w + 2*o - a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.688432 days to milliseconds.\nAnswer: 405080524.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 25. Suppose -3*z - 5*c + n = 0, z + c = 2*c + 2. Suppose 4*w + 0*v = z*v + 132, v = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*z**3 - p*z - 3556*u**3*z**3 - 30*u**3*z**2 - 36*z**2 wrt z?\nAnswer: -12*p - 21336*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17034213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 61412.07 nanometers?\nAnswer: 0.006141207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 361 + -302 + -3 + -20\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, -330, -4, -0.3 in decreasing order.\nAnswer: 0.1, -0.1, -0.3, -4, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:20 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(3*g**2 - g**2 + 0*g**2) + 3*g**2 + 1 - g**2 - 7*g**2.\nAnswer: -7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w + 206. Let h be b(-13). What is the greatest common factor of h and 1450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390473750 divided by -38095?\nAnswer: 10250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, m: 5, a: 4, b: 2}. What is prob of picking 1 s and 2 m?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -16, -4*k - j - 4*j = -252. Let y = k + 53. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*o + 79*o + 585 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1456)\/140*(-31 + 1). What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113276 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 953322 and 10266.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344202 + -324?\nAnswer: 343323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6974333 to the nearest integer?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 4830\/4063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -767650 divided by 13\nAnswer: -59050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201662*m**4 - 69129*m wrt m?\nAnswer: 2419944*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3518 - 1070. Is (-1)\/((-4)\/(o + 0)) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4574781\/44 or 103973?\nAnswer: 4574781\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14341402 (base 6) in base 10?\nAnswer: 495434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 - 53 + 33)*(-3*i + 8 - 8) to the form m + q*i and give q.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-2 - -11) + -18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - l = 0, -2*t - 4*l = -0*t - 18. Suppose -v + t*v = 70. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*p, -9*v + 2*p + 4 = -7*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136)\/sqrt(8) - sqrt(17) - sqrt(17))*6)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 286825 or 1.586?\nAnswer: 286825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 31424?\nAnswer: 94272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 446857571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:34 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332 by -2.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/21)\/(20\/35)*2\/(-12)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71\/18 - 529\/108. Calculate the common denominator of r and -7 + ((-6582477)\/(-850122) - (56\/(-26) - (-6 - -4))).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**2. Let w(k) = -74*k. Determine w(l(s)).\nAnswer: -666*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 22*o**3 - 13*o**2 - 2*o + 15. Let i(a) = -11*a**3 + 6*a**2 + a - 7. Give -13*i(w) - 6*s(w).\nAnswer: 11*w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 13*j**2 + 72*j + 17. Give b(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47090960*z**3 - 507*z**2 - 83*z - 17 wrt z.\nAnswer: 282545760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363*b - 174*b + 24*b - 74*b**4 + 295*b**4 + 2*b**2 wrt b.\nAnswer: 2652*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3 (base 15) in base 12?\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 8*h**2 + h + 10. List the prime factors of z(4).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = h - 4*z, -101*z = 3*h - 99*z - 27. Solve 10 = -5*q, -q - 5 = 2*p + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48026\/(-6) - (-2)\/6. Suppose 3*y = 4*d + 17764, -4*y + 8882 = -2*d - 6*y. Let g = d - h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 4. Give o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89745, -358234, -805723, -1432218, -2237725, -3222250?\n\"Answer: -p**3 - 89494*p**2 - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/18 + 4\/18. Let t be (1 - 2)*(-18 - -2). Solve 4*g + t = v, -4 - m = g - 2*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 49*n - 595. Give v(20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 218*d + 161*d = -750 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b + 19. Let c = -19 - b. Let n(v) = -v**2 + 6. Calculate n(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0*n - 2*n + 14, 5*v = 4*n + 38. Let b be 24404\/v*24\/64. Let a = -1535 + b. Find the common denominator of -47\/14 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19)*-2)**2 - sqrt(19) - sqrt(114)\/(sqrt(6) - (sqrt(6) + sqrt(18)\/sqrt(3))).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2899253 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 26*h**3 - h**2 + h - 1. Let d be a(1). Let k(x) = 18 + 7*x - d + 0*x**2 + 2*x**2. Let v(f) = f**2 + 2*f - 2. Determine -2*k(z) + 7*v(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/9)*n)\/((n*n*n**(-9)*n)\/n))\/(n**(-1\/5)*n**(-1\/6)) assuming n is positive.\nAnswer: n**(863\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i = 2. Let v(r) be the first derivative of 0*r - 1\/3*r**3 + i + 0*r**2. Let h(u) = 2*u**2. Calculate v(h(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 6*y - 6. Suppose 2*g + 30 = -3*g. Determine r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/39*(-2)\/(-8)*-1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94, -581, -1850, -4285, -8270, -14189, -22426, -33365?\n\"Answer: -64*i**3 - 7*i**2 - 18*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26855 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 87. Let f = 6 + -3. Is f\/(-5) - (-4848)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u - 76. Let n be i(-17). Suppose 2*y - 3*v - 310 = 0, 31 = y + 5*v - n. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118622997979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20011?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 102. Is h a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:48 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/6 (c) -7910 (d) -3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01158281 + -24.69302719. Let x = 19.704525 + y. Let d = -5 - x. Round d to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1185 and -15\/8.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -18, -50, -0.06, -0.3, 0.\nAnswer: -50, -18, -0.3, -0.06, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477088 is divided by 4765.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + 7. Let l = 8 - 5. Suppose d + 10 = -2*o + 6*d, -5*d + 10 = l*o. List the prime factors of j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 2*h + 1. Let z(v) = 5*v**2 - 8*v - 4. Let u(q) = -4*r(q) - z(q). Let n(f) = -26*f. Calculate u(n(m)).\nAnswer: -676*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*r + 762*r - 3*r**3 + 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1058*i = -1008*i - 650 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006*w + 180225 = 1021*w. Does 45 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 722 + 196 = 0. What is the least common multiple of z and 4?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(((-306)\/(-27))\/17)\/(6\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 4. Let l be c(-3). Let y be (l + 74\/4)*2. What is the remainder when (-2)\/(-1 + 33\/y) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 28*o - 15. Calculate x(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -10. Let o = x - 13. Which is the third biggest value? (a) o (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 2, t: 9, r: 1, p: 4}. Give prob of sequence et.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18181\/9464 - 213\/169. Calculate the common denominator of -57\/80 and p.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 + 1671989*q**2\/5 + 10032069*q + 75240855.\nAnswer: -(q - 1672019)*(q + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.557206698 rounded to four decimal places?\nAnswer: -0.5572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haahhhxa. What is prob of sequence hx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171375 and 7369125.\nAnswer: 7369125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/4 + 7*o**3\/3 + 3*o**2\/2 - 12*o + 12. Let a be p(7). Let w be (-3146)\/(-7) - 2*a\/42. Round w to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117344881?\nAnswer: 117344881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 + 109*q - 15. Suppose r - 4*z - 2 = 0, z + 0*z = 4. Let s be f(r). Solve 0 = -s*w + 2*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -15. Let i(f) = f - 8. Suppose 0 = 9*t - 79 - 29. Calculate the smallest common multiple of n and i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0928 and -0.19.\nAnswer: -0.2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1288376*s**2 - 1909410 wrt s.\nAnswer: -2576752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*a**(3\/2))))\/a)\/(a\/(a**(-1\/7)*a)))\/(a**2*(a*a**(-3\/2)*a)\/a) assuming a is positive.\nAnswer: a**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 9, 7 in descending order.\nAnswer: 9, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 2052561?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 0.17.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -284850675?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 16. Suppose -y = -d + r + 3*r, 4*d - 4*r = 116. Calculate the remainder when d is divided by (8\/24)\/(15\/765).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9273*r**2 - 18539*r**2 + 9266*r**2 + 621*r - 5*r**3 to the form i*r**3 + o*r**2 + v*r + n and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082318 rounded to 3 dps?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9168642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28754 + 26807.1. Let d = -1861 - y. Let r = d + -170.1. Round r to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + k = -14, 5*u + 2*k = 6*k + 11. Which is the third smallest value? (a) 2 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 299, 300, 303, 308?\n\"Answer: l**2 - 2*l + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - g**2 + 3*g - 1. Let z be j(2). Suppose -z*m + 55 = -4*m. Let b = m + -8. Solve -4*o = b*i + 18, -2*i - 17 = 2*i + 3*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.079? (a) 3 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let o = -146 - -87. Let q = 53 + o. Calculate k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 6*j**3 + 0 - 9*j**3 - 3 to p*j**3 + s*j**2 + t*j + q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by (535\/(-15))\/(5\/(-75)*5).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 58\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/718014 and 113\/1210.\nAnswer: 3590070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11817 - 11769. Solve 17*b - 9*b = -k for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isipqiiqppqwqiiw. What is prob of picking 2 q and 1 i?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(-2\/3))**(-21))**(1\/48))**(-33))**7 assuming o is positive.\nAnswer: o**(2695\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24011002 is divided by 83662.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -t + 4*t, 0 = -k - t + 26. Suppose 4*j - k = -3*d, 0 - 12 = -j - 3*d. Suppose j*h = -2*l + 1678, l - 839 = -0*h + h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, p: 3, s: 8}. Give prob of sequence sj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 3*z**5\/10 - 62*z**3\/3 - 145*z**2. Differentiate v(r) with respect to r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 5*f + 3. Let l be h(-2). Let a = -25 - -25.5. Let m = 2.5 - a. What is the nearest to -2 in -1\/3, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + l = 2108, -1581 = -3*c - 23*l + 25*l. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46.1927 * 48\nAnswer: -2217.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 187921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + t**3\/3 - t**2\/2 + 2*t + 82. Determine k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -9\/4 (c) -2\/11 (d) 790 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/24 - i**5\/12 - 5*i**4\/12 + 45*i**2\/2 - 18*i. Let z(p) be the first derivative of u(p). Solve z(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 8*v**2 + 3*v + 4. Let y(n) = 2*n**3 + 15*n**2 - 5*n - 8. Let b(g) = 7*x(g) + 4*y(g). Determine b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 233 - 13*o**2 + 143*o**2 + 455*o + 5*o**3 + 97 = 0. Calculate o.\nAnswer: -22, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44701 is divided by 8654.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -7, 1, -57 in increasing order.\nAnswer: -57, -7, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(448) + 0.\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-28))\/((-15)\/(-14)*(-40)\/(-50))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -439 (b) 55316 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 2*j, -3*j = 2 + 1. Suppose -4*z = -q - 100, -1 = -q - 5. Suppose -z = -12*c + 9*c. Calculate the least common multiple of c and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45127 - 496391\/11. Suppose 4\/11 - 2\/11*f - o*f**2 + 2\/11*f**4 + 2\/11*f**3 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -2*q**2 + 0*q + 0 + 0*q**3 - 1\/24*q**4. Let v(m) = -3*m**2. Determine z(v(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 7587.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 870 and 85835360?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722044285 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b*b*b**(-1\/4))\/(b**(2\/5)\/b*b*b**1*b))**(-15) assuming b is positive.\nAnswer: b**(-261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 201500 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.81092 milligrams to grams.\nAnswer: 0.00281092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-162))\/((-26)\/(-39))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/56*16\/(-6). Which is the nearest to -1? (a) w (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 1. Let n(i) = 5. Let k(m) = n(m) + 2*r(m). Let h be k(9). Let f(u) = u**3 + 12*u**2 + 11*u - 2. Give f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674*v - 42 = -1694*v - 382 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.49 and 178986?\nAnswer: -266689.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12*x - 40 = 0. Let p = x + 8. What is the derivative of 2*n**4 + 6 - p*n**3 + 3*n**3 + 11*n**4 wrt n?\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 546114*v**2.\nAnswer: -3*v**2*(v - 182038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3096, -3178, -3260, -3342?\n\"Answer: -82*j - 3014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11743, 11746, 11749?\nAnswer: 11752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 572923836 a multiple of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + 1 + 1. Let y = -22 + 17. Let t be -2 - (-6 - (y - -3)). Solve t = u*q + 4*p, 3*q + 3*p + 0 + 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -629?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-5)\/5)*2\/1. Solve 2*p + 7 = -3*v + 4*v, q*v = -12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31792803*q = 31792926*q - 16359 for q.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122362843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/4576 and 75\/416.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/17, 0.1, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -1\/3*d + 1 - 1\/9*d**3 + 1\/3*d**2. Find h, given that n(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p + 22*p - 27*p + 2. Suppose 6*r + 0 + 24 = 0. Calculate d(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/120 - f**5\/10 + f**4\/12 + 7*f**3\/6 - 102*f**2 - 2*f. Suppose -12 - 3 = 5*y + 4*q, -4*q = -4*y - 48. What is r(y)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -1\/24*h**4 + 0*h**3 + 0*h + 3*h**2 + 0. Determine m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 222*c + 6713. What is v(-27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1 + 3))\/(((-30)\/(-65))\/(-6)). Solve s = -5*w + 28 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Let o(a) = a**2 - 5*a + 1. Let p be o(u). Let g = 20 - 20. Sort g, 5, p.\nAnswer: p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435101005 - -2?\nAnswer: -435101003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvjjivhjhvjvjjssmi. What is prob of picking 1 s and 1 m?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*u**4 - u**3 + u**2 + 58*u.\nAnswer: -1632*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -521620 (b) -0.2 (c) 25 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35472, -35428, -35384, -35340, -35296?\n\"Answer: 44*u - 35516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49883\/5 + -10061. Let c = z - -85. Is 0 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 35 = -10, j = -4*c + 53. Let d = 43 - j. Factor -11*i**2 - 8*i + 4 + d*i**2 + 8*i.\nAnswer: -(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220.002006 + 220. Round o to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 20*w + 248930000. What is w rounded to the nearest 100000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80.22 - -81. Let i = k + -1.18. Which is the second biggest value? (a) i (b) 15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765249?\nAnswer: 3, 255083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 - (889 + -849 + (-18 - (-4 - -3))).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 1775, 4005, 7137, 11177, 16131, 22005?\nAnswer: 28805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 + (-6 - -3)) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2930 + 2915 - 9*s - 3*s)*(2 + 2 + 7).\nAnswer: -132*s - 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/12 - f**3 - f**2 + 9*f. Suppose -2*u - 30 = 3*u + a, 3*u - 2*a + 5 = 0. Give g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d162c (base 15) in base 3?\nAnswer: -1020200022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 20. Solve i = 3*o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -4\/57 (c) 0.1 (d) -28 (e) -4 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2836, 5757, 8744, 11809, 14964?\n\"Answer: 2*x**3 + 21*x**2 + 2844*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d - 103. Determine z(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 + 159. Suppose -r + 57 = 2*c. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (342\/(-24))\/(-3)*4*1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 3, x: 3, r: 1, a: 3, j: 1}. Give prob of sequence kx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451474757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 80*f + 39*f + 1 + 53*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 471994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 924 and 183624?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1525119301 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(7\/(189\/(-2))). Let v = -46 - w. What are the prime factors of 8\/(-32) - (3750\/v)\/(-3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13548920?\nAnswer: 2, 5, 7, 11, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8419 - 8070. What is the remainder when g is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130\/7 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6)*r**(-1\/16)*(r**(1\/4)\/r)**(-2\/121))**5 assuming r is positive.\nAnswer: r**(-25655\/5808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p + 4. Let j be ((-1910)\/(-191))\/(10\/(-8)) - -4. Calculate k(j).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n\/n**6*(n*n\/(((n\/n**(1\/2))\/n)\/n)*n)**(2\/11))**39 assuming n is positive.\nAnswer: n**(-13416\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**3 - 2*l**2 - 8*l - 17. Let r be o(-2). Let h be (-4)\/14*49\/r. Which is the third biggest value? (a) 0.5 (b) -21 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -57. Suppose -l - 4*g = 2*l - 64, 0 = -h*g + 2. Is 265\/l*2*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 6*i - 16. Let p = -2 - -8. What is the least common multiple of d(-6) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36941, -36944, -36947, -36950?\nAnswer: -36953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.7 + -11. Let i = 0.5 - c. Let t = i - -1.2. Is 1 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113.12 + 113.3. Let w = 0.2202 + -0.429. Let h = s + w. Round h to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 13) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1199 + 32?\nAnswer: 11cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*a + 39*a + 12. What is the highest common divisor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194397, -194172, -193947?\nAnswer: -193722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9975 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0 - (-2)\/4. Let k = 20 + -29. Let d be k\/(-15)*8\/(-12). What is the nearest to d in -0.5, q, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 7*j = 8. Solve 4*f - 24 + j = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12921623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82539408.\nAnswer: 2, 3, 7, 245653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 17*l**2 - 1. What is f(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*1\/(-6)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89153579 to four decimal places.\nAnswer: 0.8915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1344 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10044 + -50748?\nAnswer: -60791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-5440)*20*4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637696114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 - -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(sqrt(832) + 1)*-4 + 1)*6 + 4.\nAnswer: -6912*sqrt(13) - 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16 + 0*d**2 + 1 + 9*d + 0*d**2 + 4*d**2 - d. Let a(h) = -7*h**2 - 15*h + 28. Let p(y) = -6*a(y) - 11*c(y). What is p(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 15) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 302, -1, -2, 6 in decreasing order.\nAnswer: 302, 6, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*q = 4*q + 6, -2*q - 6 = 0. Let r be (-124)\/220*-5 + (-24)\/(-132). Solve -r*s + u*s - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12696 = -261*f + 1268*f + 395 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/1389 + -4171\/2778. Which is the closest to 0? (a) 4 (b) o (c) 0 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*q**3 - 2*q - 13*q - 8*q**2 + 0*q**3.\nAnswer: 3*q**3 - 8*q**2 - 15*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**3 + 6*n**2 + 4*n + 6. Let k = 0 + 1. Let d(a) = -1 + a**3 - a**2 - 68530*a - 68498*a + 137027*a. What is k*o(w) + 6*d(w)?\nAnswer: -3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 + -3 + 12\/3. Suppose -2*b + 4 = -6*b. Let j = 2 + b. Sort c, -3, j.\nAnswer: -3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - 45) + -47 - (1 + -4 + -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610421 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323451225 - -2?\nAnswer: -323451223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, 417, 963, 1513, 2067, 2625?\nAnswer: 3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 941055 and 941054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*v + 1299 + 415 - 130 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00082084696 rounded to 7 decimal places?\nAnswer: 0.0008208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/6)\/(1*2). Suppose -3*f + 2*f + d = 0. Suppose -f*v = -2 - 3. Calculate the remainder when 1 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1165*b**5 - 1146*b**5 + 14 + 21*b - 481*b**5 wrt b.\nAnswer: -9240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rstx when four letters picked without replacement from {u: 4, x: 1, r: 1, t: 1, s: 2, p: 1}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let w(m) = 362*m**2. What is z(w(y))?\nAnswer: 724*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/75 - 2013\/450)*(-102)\/27?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482\/357 - (448\/(-6))\/(-28)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z + 1992 - 2128 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {r: 2, j: 4, b: 5, n: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1214*-1.\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48035?\nAnswer: 5, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 377*x**4\/12 + 7*x**2 + 56. Let p(w) = 3*w. What is p(j(t))?\nAnswer: 2262*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 16*y**2 - 25*y + 42. What is the remainder when 435 is divided by n(7)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**3 - 42*b - 7. Let r(p) = 6*p**3 + 41*p + 6. Calculate -7*r(h) - 6*s(h).\nAnswer: 6*h**3 - 35*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 4*l**2 + 2. Let x be r(4). Is 2 + -1 + x - -19 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 807 + -804. Which is the biggest value? (a) m (b) 1\/3 (c) -0.2 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 1365618*t**2 - 8 - 1365772*t**2 + 2*t**3 + t**4 to the form u*t + q*t**2 + j + m*t**3 + g*t**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 1\/(-4)*0. Let j = w - -24. Is 21 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*o + 81, 0 = -2*m + 4*m - o - 56. Let k be (4 - 0\/(-6))*m\/(-4). Let b = k + 53. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/(7\/56*-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/3 + 10426*d**3\/3 - 176686*d**2\/3 + 113102*d\/3 + 2095720 = 0.\nAnswer: -5, 11, 5196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.02 (b) 0.3 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-17655)\/214 + 80 - (-26)\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.154 - -106.846. Let x = -104 + g. Which is the second biggest value? (a) x (b) 4 (c) -0.4 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 158634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17*m. Calculate u(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v**4 - 17*v**2 + 17*v - 64. Let f(s) = 5*s**4 + 6*s**2 - 6*s + 21. Let h(y) = -17*f(y) - 6*m(y). What is the derivative of h(r) wrt r?\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 - 2*y + 11 + 10*y**2 - 13 + 2*y**3)*(0*y + 3*y - 2*y).\nAnswer: 2*y**4 + 4*y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 66. Suppose a - 4*a = 0. Suppose 0*b + 5*b - 31 = 4*i, 5 = -5*i - 5*b. Put i, a, d in increasing order.\nAnswer: i, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 38*c + 76. Give i(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 - 3)\/3)\/(-1). Suppose -x - 5*p = -26, -2*x + 3*x - 3*p + 6 = d. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - r + 13 = 6*b, -2*b = -4*r - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 83.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let a(k) = -220 + 383 - 27*k - 169. What is n(a(u))?\nAnswer: -27*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-6)\/20*-2 + 4. Which is smaller: -7 or q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9910 = -14*z - 9952 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/((j**(1\/4)\/j)\/j)*j)\/j*j*j))\/(j\/((j*j\/(j*j**3\/j))\/j))*(j**(-1))**(14\/9)*((j*j**(-1\/4))**(-3\/7))**29 assuming j is positive.\nAnswer: j**(-2347\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -123*c**2 - 81. Let s(j) = -665*j. Calculate v(s(r)).\nAnswer: -54393675*r**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, -9, 3\/4, -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12585, 12583, 12581, 12579, 12577, 12575?\n\"Answer: -2*p + 12587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (-2 + sqrt(1900))*3 + sqrt(1900) - sqrt(1900))**2 - -5*(sqrt(1900) + -2).\nAnswer: -430*sqrt(19) + 30426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/56 - 4\/7. Suppose 8*t = -y*t - 60. Which is the closest to 0.2? (a) t (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 31 = 18. Solve -4*o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.49 in 2\/3, -2\/13, 1, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5387362 (base 10) to base 12\nAnswer: -197982a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -187249.\nAnswer: -177\/187249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -578*w - 53*w - 324*w - 1066*w + 185*w to the form i*w + g and give i.\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 15756049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/2)\/(3\/14). Let a = 25 - z. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1974143 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/19 + 2986*l**2\/19.\nAnswer: 2*l**2*(l + 1493)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d + 3*d - 380 = 0. Solve 0*n - 2*n = 0, 5*j - 5*n - d = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 63100.74mm?\nAnswer: 63.10074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyyl when four letters picked without replacement from {y: 13, l: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -511498091 divided by -4?\nAnswer: 511498091\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 + 15. Let v be x(0). Let t = v - 4. Suppose -4*z + d + 4 = -3, 5*z + d - t = 0. Solve z*r = -2*m - 16, 3*m + 4 = -0*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -203 + 211. Find the third derivative of 21*h**2 - 5*h**3 + 27*h**2 + u*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-13 - -21) - (0 - (-3 - -11))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:40 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4317695, -8635396, -12953099, -17270804, -21588511?\nAnswer: -25906220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(24\/16)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167 - 75251?\nAnswer: -75062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) 1\/4 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 22 = 2*a. What is the fourth smallest value in -3, a, -1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06491071 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 10, c: 2, j: 3, s: 4}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-70)*4 - (-13)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 30 = 7*s. Let t(u) = 6*u - 15. Is 9 a factor of t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 3*c**2 - 5*c**2 + (5 - c**2 - 5)*(-2 + 3 + 0))*(2 - 2 + 2*c).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 9 - 39*u**2 + 80*u**2 - 37*u**2 - 6*u. Let y be o(-5). Let x(l) = y*l - 18*l + 23*l. Determine x(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1524 + 2886 = 10*m. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - -19. Let p = -48 + v. Suppose 3*i = y - p, 4*y - 44 = y + i. Calculate the remainder when 31 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/(-24))\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3190 by 55.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 4\/159, 1, -1\/3, -2 in increasing order.\nAnswer: -2, -1\/3, 4\/159, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 130*i**2 - 17*i + 2. What is the thousands digit of m(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 - 5. Let w(d) = 4*d - 11. Let j be w(4). What is the smallest common multiple of 20 and v(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 - 15 = 0. Suppose -l*u = -3*u - 30. Let m(n) = 2*n**3 - 22*n**2 + 22*n - 2. Calculate the remainder when m(u) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q + 2*q + 2*q)*(-q + 1 - 1) - q**2 - q**2 + 3*q**2 + (-2*q - 1 + 1)*(2*q - 5*q + q) as j*q + w + c*q**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-19 + (2 - 2)). Let z = 12 - r. Let y be ((-1)\/(-3))\/((-4)\/12). Let u(k) = k**2 + k - 1. Let c(s) = -4*s**2 - 5*s + 5. Calculate y*c(a) + z*u(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:40 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2288, -2879, -3462, -4037, -4604?\nAnswer: -5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 65430 (base 9) in base 6?\nAnswer: 532430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - p + p - 2 + (0*p - 2*p + 0*p)*(5 - 3 - 3))*(p + 3*p - 2*p + (-3 + 3 + 2)*(146*p + 57*p + 52*p)) to r + n*p**2 + m*p and give m.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 19 - 19 + 4*z**2 + 2*z + 2*z**2 - z**3. What is the units digit of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329271*c**2 + 47012*c**2 + 109322*c**2 - 400769*c**2.\nAnswer: -573706*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*o - j - 0*j, 0 = o + 5*j - 15. Let g = -1\/27 + -8\/27. Let w = -4 + 3.7. Which is the third biggest value? (a) o (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 + 30*s + 63. What is r(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -30401, -2\/17, -15.6?\nAnswer: -30401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 136*r**3 - 8*r**2 - 9*r - 9. Let s(z) = 34*z**3 - 2*z**2 - 2*z - 2. Determine -2*g(a) + 9*s(a).\nAnswer: 34*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109415?\nAnswer: 5, 79, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 at most as big as -6135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/(-504) - 4\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 182 = -c, 2*c - 9*q + 14*q = 361. Let d = -158 + c. Solve d = -5*o + 4*j, o - j - 1 = -7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 3*u - u to z*u + x and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -351?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 + -162. Let z(d) = -5*d**3 - 25*d**2 + 9*d + 15. What is the remainder when z(-6) is divided by l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 4. Let n be b(-5). Let v = 17 + n. Suppose a = -v*m, -6*a = -2*a - 3*m. Solve s = 1 + 3, -5*r + 4*s - 16 = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8598689, 8598684, 8598679, 8598674, 8598669, 8598664?\nAnswer: 8598659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 11*a**2 - a + 19. Let s be q(11). Is s less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. Let k = 0 + y. What is the closest to 1 in k, -1\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1828, -1893, -1948, -1987, -2004, -1993, -1948?\n\"Answer: o**3 - o**2 - 69*o - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a**2 - 42*a - 18. Is y(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f = 20. Let k(r) = 27*r - 18. What is the units digit of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 = -9*k - 5*m, m = -4330*k + 4326*k + 173 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6039810 divided by -671090?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 18 = -i - 0*o, 0 = -2*i - 2*i + 4*o + 32 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -68. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-6) - 1\/3. Suppose 3*j - o = 2*o + 24, 2*o = -3*j + c. Suppose -5*g = j*b + 24, g - 5*g = -b + 15. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -76\/3, 4, 2, -6.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 1 - 2*p**2 + 5*p**2 + 0*p**2 + 0. Let y(t) = 12*t - 11*t - 8*t. Give -5*j(b) - 4*y(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:10 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*y**3 + 12805*y**2 - 5*y - 2680329?\nAnswer: 33*y**2 + 25610*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32715299527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3270*k - 1394. List the prime factors of s(-5).\nAnswer: 2, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*i + 64 + 17 = -54*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311108 by -44444.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -2\/21 (c) -2\/3 (d) 11 (e) 5.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.00104 in -1\/3, 7\/4, 4\/3, -0.5, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17480, 1, -5.\nAnswer: -5, 1, 3, 17480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 2499 = -21*o - 10*o. What is the highest common factor of o and 799?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(10)*-2 - sqrt(10)) + sqrt(10) + sqrt(10))\/(sqrt(1800)\/sqrt(10) + sqrt(5)).\nAnswer: -16*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose -2*c - 5*a = -35, -28 = -i*c - 0*c + 2*a. What is the remainder when 1*29 - (3 - 2) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + o = -q - 893, 3*q = -3*o - 681. Let r = -458\/279 + 15103\/2232. Find the common denominator of q\/(-45)*(-6)\/(-8) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2 + 371*t**2 + 1 + 0 - 4 - 370*t**2 - 5*t. Give d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2590*y**3 - 49*y**2 - 49*y - 49. Let j(u) = -216*u**3 - 4*u**2 - 4*u - 4. What is -4*d(a) + 49*j(a)?\nAnswer: -224*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + -0.35. Let f = 0.5 - 0.4. Let i = 0.5 - f. Which is the second smallest value? (a) i (b) 2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 11 = -3*v, 5*b - 6 = 3*v + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50, 92, 126, 152, 170, 180?\n\"Answer: -4*u**2 + 54*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102559252?\nAnswer: 2, 113, 226901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 33*m - 5. Give p(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1756\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -14, -12, 0, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - -2 - (2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 302.855 * -0.2\nAnswer: -60.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (51 - 118) + 17.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 45. Let x be ((-5)\/(-10))\/(1\/28). Suppose 3*i - x - t = -2*f, -4*i + 4*f = 8. Solve 5*r + 17 + i = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/121 and -2\/15025593.\nAnswer: 165281523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -3 in descending order.\nAnswer: 12, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 294, -175, -1, -3 in decreasing order.\nAnswer: 294, -1, -3, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000235846 rounded to 6 dps?\nAnswer: 0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172 by -397.\nAnswer: -172\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*((i**(-2)*i)\/i)\/i))\/i)\/(i*i**(-1)))**(-26\/5) assuming i is positive.\nAnswer: i**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 10. Let f be w(-7). Let z be 484\/24 - (-3)\/f. Calculate the highest common divisor of z and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -360, -534, -708, -882, -1056?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let s be o(0). Let w(y) = -5*y - 20. Let t(z) = -z + 1. Let r(c) = s*w(c) + 20*t(c). Let n(x) = 2*x. What is r(n(d))?\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 4:50 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14551345 + -1253?\nAnswer: 14550052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 269091*f\/5 - 52316562\/5.\nAnswer: 3*(f - 194)*(f + 89891)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29873 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let i(w) be the second derivative of w**3 + 7*w. Determine u(i(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0579349722 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/6145 + 534679\/98320. Find the common denominator of u and 83\/3280.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - -1. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26849966 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/6 + 5*a**3\/6 - 12*a**2 + a - 17. Let m(p) = 17*p**2 - p. What is the remainder when o(-7) is divided by m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*g**2 - g - 6?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2485 - 851. Does -3336 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h + 3*h + 3*h + 5*h**2 - 15 + 9*h - 27*h = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*c + 10, -3*c + 4*a + 5 = -a. Suppose -c = 4*g - 17. Let r be 0 - -4 - (0 + g). Is r less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 - 0 - (265 - 259)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/3 + 4*h**3\/3 - 2*h\/3.\nAnswer: -2*h*(h - 1)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 8*o + 15. Let m be r(-5). Let h be m + ((-9351)\/174)\/(-3). Let y = h - 12\/29. Which is smaller: 19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(858\/(-4))\/3. Suppose 0 = b + d - 11, -b + 6*b - 61 = -2*d. Calculate the greatest common factor of b and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.34038 take away 5642490?\nAnswer: -5642770.34038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26283 > 1025086\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m*p**3*x + 1154036*m*p**3 + m*p*x + 6*m*p - p**3 + 1540751*p**2*x wrt x.\nAnswer: 4*m*p**3 + m*p + 1540751*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*h**2 - 4*h**2 + 4*h**2 - 7 in the form u*h + b + d*h**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + y + 53 = 0, q - y - 4 = 7. What is the highest common factor of 56 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 13*u**2 + 24*u. Let w be p(-10). Calculate the highest common divisor of 75 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/6)\/(118\/12567*71))\/((-2)\/(-56))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867, -3859, -8981, -16233, -25615, -37127?\nAnswer: -50769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133.3 + 133.927. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -804837, -3, -14, 5, 2 in ascending order.\nAnswer: -804837, -14, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38085832*v**2 - 146692840*v wrt v?\nAnswer: -76171664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/4)\/((-1)\/4). Let l be (-4)\/(-14)*(-7)\/v. What is the closest to -1\/4 in 2, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 6.98. Let h = -0.02 - u. Which is the nearest to 1? (a) 0.5 (b) -5\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1433170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19585*d + 9790*d + 9794*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 338 + -338. Suppose -3*i + 4*w + 1487 = f, -4*i + 9*w - 11*w + 1946 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7123*f. Let z be n(1). Suppose -4*u - 3*d + z + 3708 = 0, -3*u - d + 8122 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + z + 7*z**2 - 5 + 1 - 2*z**4 to the form y*z + x*z**2 + v + u*z**4 + k*z**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20217 is divided by 1958?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 815.70645 milliseconds in days?\nAnswer: 0.000009441046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Suppose v + 0*v + 6 = z. Let c(y) = -y**2 - 6*y + 2. What is c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443828, 444426, 445024, 445622, 446220?\nAnswer: 446818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337\/2 - -183. Let o = 15 - j. Let c be ((-3)\/(-1) - 1)\/2. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.944 times 1?\nAnswer: 2.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:22 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1431 and 1272?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*a**2 + 117*a**2 - 47*a**3)*(-2 + 1 - 1)*(-1 + 2 + 0).\nAnswer: 94*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23684*x**5 - 2*x**2 - 3*x - 1791 wrt x.\nAnswer: -1421040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2. Let y(a) be the first derivative of -a**3\/3 - a - 4. Let w(v) be the first derivative of y(v). Determine o(w(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 7*j**2 + 8 + 26 + 7*j**2 - j**4 - 42 + 3*j**3 in the form x + a*j**4 + s*j**3 + w*j**2 + v*j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6862 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 759\/207*(-25)\/(-64625)*30.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1668805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(102)*1 + sqrt(102) - sqrt(102))*-4*-2)\/(sqrt(6) + sqrt(48)\/(sqrt(32)\/sqrt(4)) + 4*(sqrt(6) - sqrt(48)\/sqrt(8))).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 1383\/484 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 10. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 103, 162, 255, 388, 567, 798, 1087?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788383 is divided by 1621?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -386, -515, -646?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 486 = -16*u - 497 - 25 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/120 + c**5\/30 + 3*c**4\/8 + 3*c**3\/2 - 27*c**2. What is the units digit of k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*z + 2754, 5*z = -5*s - 340 - 2400. Let b = -243 - s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rahyzziiizraraiazi. What is prob of sequence azir?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 - 11 = 0. Let a(u) = 4441*u + 23. Let r be a(i). What is r rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -61723.\nAnswer: -61723, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2937203493865.\nAnswer: 2937203493868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 3\/((-6)\/(-20)). Let r be 2\/j + 21\/36. What is the biggest value in r, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -0.5, -99, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 - (-9 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12919437, -25838871, -38758305, -51677739?\n\"Answer: -12919434*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 4, o: 2, v: 2}. What is prob of sequence yvv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - h + 4*h = -510, -2*h + 430 = 4*d. Suppose 0 = -0*n + 3*n - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*c**5*t - 129*c**4*t + 406*c**2*t + 8*c**2 wrt c?\nAnswer: -1560*c**2*t - 3096*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 8. Let u be o\/((-1 + -3)\/(-1)). Let w = 2 + -4. Which is the closest to u? (a) -3\/8 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 348139*r**3 - 5*r**2 + 6387014 wrt r.\nAnswer: 1044417*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5964 + 2377 = 575*r - 136*r for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.3336 + 0.7544. Let s = -1.592 - u. Let m = s + 41. What is m rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**7)\/(r*r\/((r*r*r**(-4))\/r)))\/((r\/(r**(-1\/5)*r))\/r*r**(1\/2)))**(-2\/47) assuming r is positive.\nAnswer: r**(-33\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/22 and 37\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.173 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 + 4918*v + 14698. Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let h(n) = n**2 - 37*n + 137. Let w be h(33). Suppose -c - 3*c = j*b - 16, -c = w*b - 4. Solve -2*u + 6 = -c*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -82*v - 2434. Calculate the remainder when 721 is divided by h(-30).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 6*f**2 - 2*f. Let t be l(-6). Suppose -5*o + t + 18 = 0. Suppose o*g - 2*g + 4 = 0, 0 = -2*s - g - 1. Put 2, s, 4 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46976 + -829452622.\nAnswer: -829405646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-46)*((-1800)\/15)\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -4 + 1 - ((24 - 25) + -20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188489 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 5*x + 8. Let t(a) = -7*a**2 + 10*a + 19. Let o(i) = i**2 + i + 1. Let r = -3 - -7. Let h(b) = r*o(b) + t(b). Calculate 6*h(f) - 17*u(f).\nAnswer: -f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1480850 and -18\/4294465.\nAnswer: 42944650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5359 at least as big as -5177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65657.19us in minutes?\nAnswer: 0.0010942865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1045, 1331, 1617, 1903, 2189, 2475?\n\"Answer: 286*i + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*k + 84 = 0. Let f = k - -50. Solve 2*p + 5*y = -f, -4 = p + y - 2*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31255*564\nAnswer: -17627820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(((c\/c**1)\/c)\/c*c*c))*c)**(-45)*(c*c**22\/c)\/(c\/(c\/((c*c**(2\/75)\/c)\/c))*c) assuming c is positive.\nAnswer: c**(-5102\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*b**2 + b - 435 wrt b?\nAnswer: -122*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 136*c**5 - 6*c**2 + 2*c + 3. Let w(g) = -270*g**5 + 12*g**2 - 4*g - 5. Let z(o) = 5*n(o) + 3*w(o). Find the third derivative of z(r) wrt r.\nAnswer: -7800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 75 + 133. Suppose -2*j - 3*w + 5 = -2, 3*j + 3*w - 6 = 0. Let k be 2\/(-5)*(-161 - j). Calculate the greatest common factor of o and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o + 99 = 689 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64828.\nAnswer: 2, 19, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -72, -109, -146?\n\"Answer: -37*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k + 92. What is the common denominator of -58\/7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2892.\nAnswer: 20244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48820262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7629b (base 12) in base 4?\nAnswer: 212010113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 2*r + 7. Let k be s(0). Suppose 2*n - 5*c - 65800005 = 0, k*n + 3*c = 10*n - 98700003. What is n rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48972, 97977, 146982?\nAnswer: 195987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwzozwxxzwwozoxzxw. What is prob of sequence wz?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*j**2 - 8*j + 107*j**2 - 218*j**2 = 0. Calculate j.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 0 - 1 + 0. Let r(o) = -o + 1. Let u(v) = d(v) + r(v). Let n(t) be the third derivative of t**5\/30 + 2*t**2. Give n(u(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 - ((-10 - -4) + 0 + 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1562403 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -190914 divided by -63638\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 - 56*r**2 + 12*r - 163. Give z(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 12) to base 5\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842*n**5*t - n**4*t + 1948*n*t wrt n.\nAnswer: -16840*n**3*t - 12*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.173288 decades to millennia.\nAnswer: 0.00173288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 29. Let s = v - -38. Put 13, 1, s in increasing order.\nAnswer: s, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*c - 1, -64*c = -61*c + 5*r - 17. Let j(f) = 3*f. Let u be j(-4). Sort u, c, 3 in ascending order.\nAnswer: u, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 21. Let a be z\/(-42) + (-60)\/(-14). Let c be a\/4 + (-4)\/(-2). What is the smallest value in 2\/7, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-12 + (-9)\/(-3)). Suppose -s = -2*r - 0*m + m, 0 = 2*r - 4*m - 10. Let n = 9 - r. Solve w - 2 = -n*h + 1, 5*w + 1 = -4*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 + 15884*f**4 + 1054152*f**3 + 23233936*f**2 + 170538368*f.\nAnswer: -2*f*(f - 8008)*(f + 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79.99967 + 80. What is g rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 452987.5 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-332660)\/(-25) - 6\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -37. Let z = -6 - f. Suppose -z*b + 18766 = 223766. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(891))*-5*-5*1)**2.\nAnswer: 556875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -1\/3 (c) -3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -102, -109, -118, -129, -142, -157?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.7 (b) -1 (c) -0.4 (d) 4 (e) 2\/1293 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*s + 18*s + 32566 + 4*s**2 - 32567 in the form o*s**2 + y + j*s and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-31348*c + 4767*c**2 + 31348*c).\nAnswer: 4767*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (-2 + (sqrt(343) + -3*(sqrt(343) - 4*sqrt(343)) - sqrt(343)*6*-2))**2).\nAnswer: -1232*sqrt(7) + 332040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:00 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n + 5 = 0. Let f(q) be the second derivative of 11*q**4\/12 - q**3\/6 + 2*q. Let m be f(n). Solve 0 = 5*v - 2 + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 f(a) = a**3 - 3*a**2 + 13*a - 11. Let t(c) = c**3 - 4*c**2 + 12*c - 10. Let d(z) = 4*f(z) - 5*t(z). Let h = -1 + 8. Determine d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5343, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 725*r**2 + 26*r + 3. Does 34 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -5, 2\/11, 1, 6.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*g**4 + 763*g**3 + g + 109111.\nAnswer: -756*g**2 + 4578*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 12*x - 10. Let i be o(-10). Let s = -6 + i. Calculate the remainder when 15 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 21. Suppose -1170 = -o*k - 9*k. Does 14 divide (-2)\/(-24)*-3 + k\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23135752 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**5 - 13*s**3 - 870*s**2?\nAnswer: -240*s**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 17 = -2*o - 22*h + 111, -18*o = -12*o + 3*h - 33 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnoonfo. Give prob of picking 2 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -256869\nAnswer: -1\/256869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -15*m**4\/4 - 5*m**2\/2 + 12*m - 725. Let p(j) = 4*j**3 + j - 3. Calculate 2*h(l) + 9*p(l).\nAnswer: 6*l**3 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*l + 4 = 0, -l + 3*l - 20 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3738, 7540, 11346, 15162, 18994, 22848, 26730, 30646?\n\"Answer: f**3 - 4*f**2 + 3807*f - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 1.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 189?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - 15. Let c(x) be the first derivative of -130 + 10*x - 1\/2*x**2. Give c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7917*f**3 + 7*f**2 - 7*f**2 - 7915*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494907 is divided by 4604?\nAnswer: 3211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 5 = -c - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1440 and (((-3363)\/133)\/(-3))\/((-116)\/(-14) + 2).\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 divided by -201?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) -138 (b) -0.05 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6244*s**3 + s - 3*s + 2*s + 3127*s**3 + 3122*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -12 (c) -3\/151 (d) 0.2 (e) 3\/5 (f) -1 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/9? (a) 4 (b) -1\/5 (c) 1.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*q + 3*x + 32, 0 = 5*q - x - 34. Let w be (-4)\/q*87\/(-2). Suppose 0 = 4*f + 3*r - w, -5*f - 5*r + 27 = -3. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + l = 69, j - 5*l - 180 = -4*j. Suppose 0 = -w - 6*w + j. Sort -4, w, 0 in decreasing order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1155 (b) 3 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 b when three letters picked without replacement from {r: 4, d: 1, w: 5, b: 2, i: 1, t: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 27*o**2 - 13*o + 11. Let p(z) = -14*z**2 + 7*z - 6. Let t(a) = -6*g(a) - 11*p(a). Find the second derivative of t(s) wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48076239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 24 + 234. Let o = r + 43. Suppose i + 4*j + 4 = -2, 4*i + j - 36 = o. Solve 4*h + 29 = -5*d + 2*h, -4*d + 5*h = i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g = 186 + 60 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-10)\/14. Let a(f) = f**2 - f - 1. Let c(j) = 4*j**2 - 3*j - 1. Let r(m) = -m**2 - 4*m + 2. Let t be r(-5). Determine t*a(x) + v*c(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -110, -72, -10, 82, 210, 380, 598?\n\"Answer: q**3 + 3*q**2 + 4*q - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nssh when four letters picked without replacement from wwnnskqwqhqwskskk.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/5 + (-6)\/(-15). Suppose -2*p + j + 2*j + q = 0, -4*p + 2*j = -14. Solve 5*d + 3*f = 20, -2*d + 6*d - p*f = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1394174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111110111010110 + 101?\nAnswer: 10111110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (28 - 56)) + 1 + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i)\/i*(i*i**3)\/i)**(3\/5)*(i\/(i**(-2\/9)*i)*i*i**(3\/4))\/(i**(-1))**(-20\/3) assuming i is positive.\nAnswer: i**(-89\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793825, 1587628, 2381401, 3175132, 3968809, 4762420?\nAnswer: 5555953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:19 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -953334 and 4.\nAnswer: -953330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2) - -13) + (-210)\/54*3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 193*a - 18. Let t be l(2). What is the greatest common factor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5727195 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38064?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 4)\/(-4) + -5. Let c be (-1356)\/45 - b\/30. Let q = c - -52. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 29*m - 28. What is the remainder when n(19) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 46.981. Round d to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-44728)\/28*49\/112*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 121, -113, -753, -2003, -4067, -7149?\n\"Answer: -34*c**3 + c**2 + c + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 27, 51?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 3*r - 14, 9*r = 4*s + 11*r + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 67. Let u be t(-53). Let y(n) = 6*n**2 + 4*n + 2*n**2 + n - 6. Let r(o) = o**2 + o - 1. Let p(l) = u*r(l) - 2*y(l). Determine f so that p(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.7 + -15.1. Round y to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.35 in 4, 0.5, 1968, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159605 divided by -5.\nAnswer: -31921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -19*p**3 - 3*p**2 + 7*p + 15. Let j be z(7). Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 178 + 187 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11257, 22340, 33249, 43984, 54545, 64932, 75145?\n\"Answer: -87*g**2 + 11344*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -3, -2 in decreasing order.\nAnswer: 11, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 72*h + 2038. Give i(93).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Solve 4*l - k*l + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let v = -1 + -3.5. Let q = i + v. What is the third smallest value in 5, 1\/6, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -88. Let i(o) = o**2 - 10*o - 3. Let r be i(11). What is the greatest common factor of r and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 730*b*s**2*u - 2*b*s*u - 6486*b*s - 13724*b*u + 136*b + u wrt s?\nAnswer: 1460*b*s*u - 2*b*u - 6486*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 8*i**2 - 6*i + 1. Let y = -12945 + 12952. Determine t(y).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 275? (a) 0.1 (b) -5 (c) 1\/5 (d) 3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677431 (base 9) to base 10.\nAnswer: 405676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24354 and 969978.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-9))\/((-1584)\/2376)*18.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023932616 rounded to 7 decimal places?\nAnswer: 0.0002393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 293, 991, 2353, 4601, 7957, 12643?\nAnswer: 18881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (134946\/(-43659))\/(((-4)\/3)\/((-110)\/(-135)))\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10+-0.02874\nAnswer: 9.97126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 146*q + 276. Give y(-70).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2)*(-8)\/(-5)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 151*u**2 - 3292*u\/3 + 511.\nAnswer: -(u - 219)*(u - 7)*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 5. Suppose 3*o - 2*u + 2 = 0, -3*u + 36 - 14 = 5*o. Let d be 3*2*4\/o. Let f be (-8)\/d - 4\/(-6). What is x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23866*q**4 + 11*q + 23865*q**4 - 5*q - 4*q**3 - 13 to the form y*q**3 + d*q + t*q**4 + a + f*q**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 23*r**2 + 2*r - 21. Let y be t(18). Let s = y + 3196. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2 - -2 - -96. Let d = z + -45. Calculate the least common multiple of d and (88 + -78 - (-30)\/(-4))\/((-4)\/(-16)).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 66 - (-215 - -61)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) -4\/9 (c) 0.038 (d) 4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 41. Let v be 8\/24 - 34\/o. Is 10 a factor of (-4)\/v + (-186)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002563454 rounded to 5 dps?\nAnswer: 0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, -4, -51 in increasing order.\nAnswer: -51, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -19. Which is greater: -4\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*p - 1 + 3 = 0, 4*p + 10 = d. Suppose d + 8 = 5*s + 5*g, 3*g = 3*s - 6. Calculate the highest common factor of s and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 4)*(-2)\/(-1). Let l = 37 - 36. What is the greatest common factor of l and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126620 - 82328. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/6 - 7872*q. Let s(x) = 7*x**2 - 12*x. Determine s(v(g)).\nAnswer: 28*g**4 - 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3\/5, -1.53, 1, -0.5 in ascending order.\nAnswer: -1.53, -0.5, -1\/6, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -3, -232 in decreasing order.\nAnswer: 8, -1, -3, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*s = 177*s - 6250. Round s to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 7*w + 3. Let t be p(6). Let a be ((-1)\/(-4))\/(t\/(-6)). Let n = -20.639 - -21.639. Do n and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Let p be 2\/7 - (-38)\/14. Let q be ((-2)\/p)\/((-6)\/45). Put q, m, 4 in ascending order.\nAnswer: m, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 609.56 to the nearest ten.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 5*q - 329. Calculate the remainder when q is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-24)*(-56625)\/(-14345).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*27\/((-324)\/264)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9882 and 623687607?\nAnswer: 4941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 16. Let b be u(-9). Find the third derivative of -3*g**3 + 30*g**6 + 10*g**3 + 38*g**2 - b*g**3 wrt g.\nAnswer: 3600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 0*u - 3*u + (-10*u + 25*u + 2*u)*(-2 + 2 + 2))*(0*u - 3*u + u) + (0*u - u - u)*(-2*u + 0*u + u) + 2*u**2 + 0*u**2 + 0*u**2.\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9*n + n - 9*n)*(4 + 0 - 5 - 1 - 2 + 5 + (5 - 4 - 3)*(-1 - 1 + 0)) as b + h*n and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -1) + (-550 - -553).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + sqrt(1584)*1)*6 + (sqrt(1584) + -1 + -1 - (1 + sqrt(1584) + 5)) + 1)**2.\nAnswer: 1296*sqrt(11) + 57105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofofoooooooof. Give prob of sequence fofo.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005867762 rounded to seven dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8 + 13*t + 3*t**2 - 2*t**2 - 5*t. Let z = -5505 - -5496. Determine v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12 + x - 4*x + 0 + 2. Let i be y(4). Solve s + s = i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162060133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q**5 + 6*q**3 - 5*q**2 + 6*q + 6. Let c(g) = g**5 - g**3 + g**2 - g - 1. Let r(z) = -6*c(z) - v(z). What is the third derivative of r(s) wrt s?\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095*x - 1093*x + 2188*x - 11*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -8. Let l = 21 + n. Suppose -l*i - 2*v - v + 56 = 0, -4*i - 5*v + 64 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6.989. Let w = 21.611 + n. Let c = w + -22. Sort 0.3, c, 3.\nAnswer: c, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/22)\/15*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/21)*k*k**10)\/(k*(k**(-12)*k)\/k*k**(4\/5)*k*k) assuming k is positive.\nAnswer: k**(2111\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Let k = -89.3 - -89. Let p(t) = 3*t - 14. Let d be p(5). What is the nearest to k in -1\/5, o, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s + 45 = 0. Let n(t) be the second derivative of t**3\/6 + 21*t**2\/2 - 19*t. What is the remainder when 33 is divided by n(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**4 - 134*n**2 - 2*n - 53 wrt n?\nAnswer: 12*n**3 - 268*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3. Let f(x) = -4*x**3 + 3*x**2 - x**2 - 1 + 2*x**3. Let n be f(1). Is b(n) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(117) - sqrt(117)*-2) - -2*(sqrt(117) + sqrt(117)*1))\/(-2*-4*-1*sqrt(9)) + 3)*2.\nAnswer: 6 + 11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -13611*x**3 - 12*x - 19. Let s be m(-6). Round s to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66711406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5856 - 0?\nAnswer: 5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 + 1. Suppose 3*u = 15 + 3. Let m be ((-30)\/(-24) + (-3)\/12)\/(1\/2). Let c(k) = -4*k**3 - 3*k**2 - 3. Calculate m*c(x) + u*l(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12*x = -14*x + 3, 3*x = 2*m + 1. Solve -5 = -3*q + 5*r - r, -3*q + 2*r + m = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982132368?\nAnswer: 2, 29, 829, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -55?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v + 734*v + 11406 = -7102 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -80c74?\nAnswer: 80c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*s = -0*s - 4249, -4*s - 2838 = -2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 134*(1 + (-2)\/4). Suppose -r - 87 = -2*b. Let x = -18 + b. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/9*-15 - 10\/6. Suppose 2*x - 17 - 1699 = m. List the prime factors of x.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1623*k + 24. Give h(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -61, -100, -145, -196, -253?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((6 + (-2 - 4) - -2) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1314*t - 32. Let v(l) = -337*l - 8. Determine -6*k(g) + 22*v(g).\nAnswer: 470*g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*m**4 + 9740*m**3 + 429788*m**2 - 5712812*m - 1951664 = 0. Calculate m.\nAnswer: -52, -1\/3, 11, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147529738 take away 0?\nAnswer: -0.147529738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -1447132\nAnswer: 35\/1447132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/25)*u**13)**(4\/9) assuming u is positive.\nAnswer: u**(464\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -1. Let l = 1 - c. Let m(b) = 5*b**2 - 4*b**2 + b**2 - l*b**2. Let o(r) = -5*r**2. Calculate m(o(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 6*l - 11. Is x(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/903, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16220342 (base 8) to base 12.\nAnswer: 1306796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 78\/875323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -314. Calculate the greatest common factor of 12711 and b.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 32\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let w be m(0). Suppose -2*d + d = w. Is d at least 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50205566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 33*w**3 - 39*w**2 + 33*w + 36 = 0. What is w?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.0100215 - -0.3908485. Let p = l - 20.4. Round p to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -12*p + 15. Suppose 2*t + 5*f - 26 = 0, p*f - 28 = -4*t - f. Is 3 - t\/(-1 - 0) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/7 - (-4654)\/(-182). What are the prime factors of 2\/f*-2 + (-175410)\/(-585)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49976 and 2104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**4 - 25*c**2 + 4*c**4 + 89462 - 3*c**3 - 89462 to j*c + y*c**3 + k*c**4 + p + h*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:31 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d - 40. Let h(x) = 12*x - 10. Let b(a) = 4*h(a) - m(a). Let j(p) be the second derivative of 2*p**3\/3 - p. Give j(b(y)).\nAnswer: 148*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 228469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 4*d**3 - 7*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/11 - 644*b**3 - 21264*b**2\/11 - 21268*b\/11 - 7090\/11.\nAnswer: 2*(b - 3545)*(b + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 53741 - 4781 = 0. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3516917 + -92.\nAnswer: 3516825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.053 and -0.0078631?\nAnswer: 0.0004167443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57335?\nAnswer: 5, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**3 - 27333722755280*a**2 + 27333722755280*a**2.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 296.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 60038\/47863 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q = 29*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 0*n)*(0*n**2 - 3*n**2 + n**2 - 2*n**2 + n**2 + 2*n**2 + 2*n**2 - 5*n**2 - n**2 + (0 - 2*n + 0)*(-3*n - n + 5*n)).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 0*f - 5*f + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345440 is divided by 1556.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 284329941 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 11740*t**2\/7 - 23486*t\/7 - 11744\/7.\nAnswer: 2*(t - 5872)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*i + 2459 - 2457, -10 = 3*h - 4*i for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 = 10*x - 1269. What is the greatest common divisor of 63 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7 = -5*d - 3*m, 5*m = 4*d - 6. Find the common denominator of d*((-237)\/12 - 1) and -51\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -120321330?\nAnswer: -120322003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 2}. Give prob of sequence yo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*1800\/(-48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9373.5 times -0.38?\nAnswer: -3561.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 278143093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 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) 0.2 (b) -228 (c) -0.5 (d) 396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/5 - 11083112*f + 55415556\/5.\nAnswer: 4*(f - 13853889)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237 - 138. Calculate the highest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1352335, -1352340, -1352349, -1352362?\n\"Answer: -2*x**2 + x - 1352334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-12))\/(8\/32). Let r = 21 + -20. Let o(w) = 3*w**3 + w**2 + 2*w - 2. Let y be o(r). Solve -a + b + p = -y*b, -3*a + 5*b = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(490) - 3*sqrt(1089))\/((2*sqrt(1200) + sqrt(1200) - sqrt(1200))\/(-2*sqrt(4)*2)).\nAnswer: 46*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1673 + 1109. What is the units digit of (r\/36)\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2664456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1539252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**2 + 770*i - 6795. What is o(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -c1?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -7*x**5\/120 - 7*x**3\/6 + 7*x. Let q(l) be the second derivative of m(l). Let b(r) = -3*r**2. Determine q(b(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*s = 40, 46*s - 149*s + 56*s - 6 = -l - 49*s for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-9*(-3)\/(-6). Suppose 143*y + 12 = 147*y. What is the highest common divisor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*z - 2*z + 848 = 0, -2*z + 2152 = -5*k. Let c = 1771 + k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.099 - 1.10563. Round u to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*h - 2*h - 1)*(1 + 3 - 2).\nAnswer: -4*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*y + 296 = -96, -2*h - 3*y + 392 = 0. Let l = 18533 + -18336. Is l >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 19*c**2 - 2*c + 38. Let m be a(19). Let s be 4\/(-1)*(-1 - 1). Let y be s\/42*(-3)\/(-2). Is y greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1116, 658, 204, -246, -692?\n\"Answer: 2*h**2 - 464*h + 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 7*w + 2. Let i be n(-5). Let k = -10 + i. Let a be (5\/2)\/(k\/4). Solve -a = 3*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4b60e1 + 4?\nAnswer: a4b60e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1504973*c**3 + 1871149*c.\nAnswer: -9029838*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*s*u**4 - 182*s*u**2 - 2*s*u - 6*s + 2*u**3 - 2*u**2 + 16*u + 24 wrt u?\nAnswer: -228*s*u**2 - 364*s + 12*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101001000101010111 (base 2) to base 13\nAnswer: 5b797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -1159, -3818, -8973, -17458, -30107, -47754, -71233?\nAnswer: -101378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9) + 84\/(-693)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 5, -2, -0.4 in increasing order.\nAnswer: -2, -1, -0.4, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26163\/16 - -1635. Are s and 7\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31224612?\nAnswer: 2, 3, 113, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -101100142?\nAnswer: 101100204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2 + 2\/3*w**3 - 1\/2*w**4 + 0*w + 0*w**2. What is the third derivative of b(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 8. Let m be 8\/(-18) - (0 - 92\/(-36)). Determine c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 208\/5 - (-6)\/15. Let n(p) = p**2 - 25*p - 423. Let v be n(37). Calculate the highest common divisor of v and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73782031?\nAnswer: 4787, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -45*r + 950. What is the remainder when 145 is divided by r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 31 = -5*g. Let s = 16 + g. Let c = 10 + -3. Calculate the remainder when c is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, c: 8, g: 4}. Give prob of sequence gc.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let h = -18.709 + 22.709. Let d = -9.3 - -9. Which is the closest to i? (a) d (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 19*n**2 - 60*n + 5. Determine y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 - 7*k**2 + 5*k**2)*(-3*k + 6*k - 2*k) + 43 - 43 - 17*k**3.\nAnswer: -25*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2. Let z(j) be the second derivative of -7*j**4\/6 - 2*j + 16. What is l(z(r))?\nAnswer: 784*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/7, 3\/4, 1.09, 3, -2\/7, 33 in ascending order.\nAnswer: -2\/7, 3\/4, 1.09, 10\/7, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 + 6*p - 1. Let w be s(-6). Find the second derivative of -2 - 8*z**5 + 143*z**3 + z - w*z**3 wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226.1 - 225.6. What is the nearest to 0 in -2\/109, -14, a?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2480 - 1297. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11479.1 and -0.88280847?\nAnswer: 11478.21719153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3 + 3. Let p(x) = 10*x**2 - x + 1. Let v be p(1). Let w = v - 6. Solve u + 3 = i*f, 2*u + 2*f + 2 - w = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 299206?\nAnswer: 897618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 14 = -1. Let a(w) = 458*w + 6 - 909*w - 2*w**3 - 8*w**2 + 446*w. What is the tens digit of a(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 89. Suppose -f + k = a, 5*f - 76 = 5*a + 9. What is the greatest common divisor of 117 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/65)\/(15\/135) - (1 + -2). Determine i, given that 18\/13*i**2 + 8\/13 + o*i = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221518*p + 675020 wrt p?\nAnswer: 221518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 + 54 - 11*t)*(2*t - 2*t + 2*t)*(-4 + 4 - t)*(1 - 1 + 3*t) to the form r*t + y*t**4 + j + k*t**2 + w*t**3 and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7353998 at most 7353997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = -16*r + 523. Solve 2*x = 2*d + 4, 2*d + r = 5*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = -4*u, -u - 5*t + 14 = -0*u. Is u less than or equal to 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*h - 53. Let n = 11 - h. What is o in -o**3 + 2 + n*o**3 + 0*o**2 + 6*o + 6*o**2 + o**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*j**2 - 2*j**3 + 29*j**2 + 8*j**3 + 71*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbbr when four letters picked without replacement from xsggbxgrxxegxbg?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04156 - 0.74156. Which is greater: l or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6347 = 16*y + 747. What is the lowest common multiple of 560 and y?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*((sqrt(72) - (sqrt(72) + 0 + sqrt(72)*2)) + 1 + sqrt(72) + 4))**2*-2.\nAnswer: -6208 + 3840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 211995316.\nAnswer: 211995316.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10334, 20667, 31000, 41333, 51666?\n\"Answer: 10333*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 - ((5 - 2) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*h**3 + 9740*h**2 - 8845*h - 770 = 0. Calculate h.\nAnswer: -2\/25, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022573703 to 6 decimal places.\nAnswer: 0.002257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8463*a + 16920*a + 200*a**3 - 8457*a + 1103*a**3 - 69*a**3.\nAnswer: 1234*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) -0.06 (c) -2\/55 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*r - 28*r + 14*r)*(2 - 1 + 0)*(1 - 2 + 0) - r - 2*r + 4*r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t - 45 = -9 - 281 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b + 1 - 1)*(4*b**2 + 2*b**2 - 2*b**2 + 0 + b**2 + 0 - 4*b**2 + b**2 + 2*b**2 + (-b - 2 + 2)*(1 + b - 1)).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -9. Let a be o - 0 - (-18)\/(-21). What is the third smallest value in -0.4, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 - 1 - (28 + -36))) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10453846 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 20. Let k = 48 - d. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71\/7 - 459\/28. Let o = -271\/44 - k. Let u = -3.3 + 0.3. Which is the nearest to 1\/2? (a) u (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 6)*(-1)\/1. Let s be (-2)\/(-4) - 18\/k. Suppose s*g - 7 - 68 = 0. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -i - 307694 + 307665, -3*i - 55 = 4*h for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 17. Let s be z(-13). Let i(b) = 3*b - s*b + 4*b - b. Let v(q) = 11*q. Calculate v(i(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*(y\/((y**4\/y*y)\/y*y))\/y*y*y)\/y*y))\/(y\/(y*(y*y*y\/y**(2\/11)*y)\/y*y)))\/((y*y**8)\/((y**(-3)\/y)\/y)))**(-2\/35) assuming y is positive.\nAnswer: y**(36\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 2*k**2 - 6*k - 5. Suppose 3*r + 4*d - 16 = -0*r, -3*d + 19 = 4*r. Suppose -5*o = -6*o - r. Determine m(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 10*f + 5. What is q(9)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 10*w + 8. Let u be c(-7). Let r = 65 - u. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + p - 6*p + 20, 4*g - 5*p + 14 = 0. Let h(a) = a**3 + 6*a**2 + 3*a - 6. Give h(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 9*p - 8. Let q be n(-8). Let r = 174 - q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from {e: 1, p: 2, l: 11, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1240\/1085*182\/(-8)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -35*k**2 + 10239*k - 20470. Calculate n(2).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {g: 4, z: 3, x: 2, d: 9, u: 1}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1416435 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 2\/21, 3, -0.5, 1\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42560 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 n = 1178713845005\/686 - 1718241342. Let a = n - 23\/343. Let s = a + -403. Find the common denominator of s and 89\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**8\/84 + 2*z**7\/105 - 11*z**4\/6 + 47*z**2. Find the second derivative of o(a) wrt a.\nAnswer: -80*a**3 + 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from {c: 6, r: 1, t: 3, g: 2, d: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2952 divide 64919739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + d - 6, 5*d = 32*w - 35*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01994865407 + 898.31?\nAnswer: 898.29005134593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-4) - 71\/(-2) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*w + 136*w - 1519 = 0. Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 32. Let h = -31 - -21. Let r = h + q. Solve 0 = 2*x - 2, -2*g + 7 = x - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*i**2 - 383*i**2 + 3*i + 213*i**2.\nAnswer: 35*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1018 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1235.3 - -1235. What is the third smallest value in -1, q, -15\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -32964784763.59?\nAnswer: -32964784766.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214703668*d*t + d + 112383144*t wrt d?\nAnswer: -214703668*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 14*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-8) - (-21)\/(-28). Suppose y = 5*y - v. Is 3\/8 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-8))\/(d\/(d**(-1\/43)\/d)) assuming d is positive.\nAnswer: d**(343\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41598 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -38\/11 (c) 2\/3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r - 2. Let x = -21 + 20. Let w be o(x). Solve 5*v - m + 0*m = -2, -3*v - 5*m - 18 = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33789*z**5 - 17*z**2 + 3991 wrt z?\nAnswer: 2027340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 32*u\/7 - 78\/7.\nAnswer: -2*(u + 3)*(u + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 423805751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrxxzoaorrr. What is prob of sequence ox?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 57*s**2 + 2686*s + 136284. Calculate p(-54).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = p - 3*g + 29*g + 2, 0 = 2*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b - 3*y, 4*y + 1 = 5. Suppose -9 = b*x - 13. Suppose -x*o - 22 = -4*u + 10, -o = u - 11. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0096 in 0.3, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {v: 5, o: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4064, 2620, -1306, -8956, -21572, -40396, -66670?\n\"Answer: -207*j**3 + j**2 + 2*j + 4268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 v, and 1 x when four letters picked without replacement from {v: 5, a: 4, x: 3}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(9\/(-24))\/1*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438529?\nAnswer: 7, 13, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a**3 - 10*a + 6. Does 46 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106775526 times -0.5?\nAnswer: 0.053387763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 44201 = 5*v - 44132, -3*n + 59 = -4*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2446*t**4 - t**3 + t**2 + 295446*t.\nAnswer: 58704*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7990908 divided by -1\nAnswer: 7990908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4 - 12. Let d = 17363 + -17368. Sort d, -45, i, 0 in increasing order.\nAnswer: -45, d, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.185 equal to 808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 + -1)\/(-619 + 621)*(-4)\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -320102874021570695.00000101 - -320102876560097803. Let p = -2538527134 + q. Let u = 26 + p. Round u to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2950 is divided by 157.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*y + 778 - 928 = -8854 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 466208*z**4 - 1292199*z**2?\nAnswer: 11188992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10316 - 10197. Solve -16*n = n + j for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 111492*g + 222988.\nAnswer: -(g - 2)*(g + 111494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/35 + 2\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6316 - -189439\/30. Calculate the common denominator of q and -79\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -426, -9, -2 in ascending order.\nAnswer: -426, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10929 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.4 (c) -0.02 (d) -7 (e) 9 (f) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -4. Suppose -2*c = w - 6*c + t, -c + 3 = 0. Find the third derivative of 0*l**4 + 4*l**2 - l**4 - w*l**4 wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-60)*2064\/(-172).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-27 - -24)\/(6\/(-320))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 116638781.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/15 - 4940516*x**2\/15 + 2*x\/15 + 4940516\/15 = 0 for x.\nAnswer: -2470258, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -18.15 - 0\nAnswer: -18.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**3 + 25*d**3 - 2*d + 5*d**3.\nAnswer: 48*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 7*w**5 - 5*w**3\/3 - 49. Find the third derivative of t(y) wrt y.\nAnswer: 840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + 1 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30145 and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-2)\/(-8))\/((-11)\/(-308)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2464102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 43*c = 99 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = g + 3*l - 12, -2*l + 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*x - 1575*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6255*r + 7*r**2 + 5*r**2 - 6143*r.\nAnswer: 12*r**2 + 112*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 - (-3)\/36. Let t be -5 + (-2)\/4*-2. Let s = -1191\/2 + 594. Which is the fourth biggest value? (a) m (b) s (c) 2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/6060 and 21\/4040.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 21*s = -12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*s - 2 = -2*o, -o + 4 = -4*s. Let z = -53 - -58. Solve h + o = z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(375)*-2 - sqrt(375)) + sqrt(375))*-3)\/((sqrt(5) - (4*sqrt(605) + sqrt(605))) + (sqrt(50) + sqrt(450))\/sqrt(10)).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 1, r: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 3*n + 36. Let b(m) = m - 1. Give 4*b(a) - f(a).\nAnswer: 2*a**2 + a - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163.6 + -213. Let f = 2 + k. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-510)\/(-525)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*((-1 + sqrt(19))*5 + 0 - (sqrt(1216) + 5 + sqrt(1216) + 1)).\nAnswer: -11*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -659, 76.9 in ascending order.\nAnswer: -659, 0, 76.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 31) + -2 - (-2026 + 2018)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7081, 14147, 21197, 28225, 35225, 42191, 49117?\nAnswer: 55997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, q: 3}. What is prob of picking 2 q and 1 f?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j - 17*j + 6*j**4)*(6 - 5 + 10).\nAnswer: 66*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1172 or 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 65. Let r = -4157149\/399084 + 2\/33257. Find the common denominator of r and b\/20 + (-2684)\/(-55).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111014103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 13, -9 in descending order.\nAnswer: 13, 7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - g + (3 - 7 - 1 - 1 + 1 - 1 + (1 + 1 - 1)*(2 + 2 - 2) + 2 - 3 + 2)*(-2 - 2*g + 2) in the form y + d*g and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f**2 + 2. Let u(v) = -v - 6. Let l(p) = -p - 7. Let j(b) = -6*l(b) + 7*u(b). Give o(j(s)).\nAnswer: -8*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212089 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/5 - -4\/15. Let z = 0.7 + -1. What is the nearest to x in -5, -2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*k = 2, -2*y - 4*k + 0*k = 4. Suppose -5*h - y*m = -84, -3*h + h = 4*m - 36. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u**3 - 94*u**2 + 22*u + 138. Let w(q) = 12*q**3 - 91*q**2 + 22*q + 138. Let k(g) = 3*a(g) - 4*w(g). What is k(27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/15 - 13*v**3\/6 - v**2. Suppose -2*j + 3*j = -15. Is s(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, z: 4}. Give prob of sequence rzz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 17*k + 6. Let w = -25 - -29. Let z be (-2)\/w*234\/(-9). What is the units digit of u(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 + 3804*p - 15371. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5920920 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332 + -335. Let i(x) = -x**3 + 3*x + 0 + 0*x**3 + 1. Is i(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o + 444 - 371 - 631 = 2042 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0743 and 10990554035.\nAnswer: 10990554034.9257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 7, w: 9, c: 1}. What is prob of picking 1 v and 2 h?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:30 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -1)\/(-1 - 0). Suppose -s + 0*s - 1 = 0, n = 4*l + 3*s. Suppose 5 = 94*g - 559. Solve -l*r + 16 = -g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8799205.131 rounded to the nearest ten thousand?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 5*k - 3. Let m be n(-2). Differentiate -12*o - 3 - 4 - 9*o**m + 12*o wrt o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -690 - -694. What is the biggest value in -3, w, -12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -62, -59, -28, 37, 142?\n\"Answer: p**3 + 5*p**2 - 41*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.3, -481, 3?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 120 = 2*n. Let s be (-4)\/((-50)\/18 + n\/(-45)). Which is the second biggest value? (a) 1 (b) s (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 + 532680*u**3 + 1598001*u**2 - 2130684*u = 0.\nAnswer: -177557, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7563021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 10*n**2 + n - 3. Let t be b(10). Let v = t + -5. Solve -v*z - 3 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.39 in 2\/287, 0, 135, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5136 to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.98 (b) -2 (c) -328 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let y = s + 1.2. Let h = 157\/102 - 2\/51. Which is the second biggest value? (a) y (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 0.1, 1\/4 in decreasing order.\nAnswer: 7, 1\/4, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, -0.4, 16\/23, 4\/9?\nAnswer: 16\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 161\/9, 1\/16, -0.02 in increasing order.\nAnswer: -0.02, 1\/16, 4\/5, 161\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 40102527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 214, 628, 1432, 2824, 5002, 8164?\n\"Answer: 33*q**3 - 3*q**2 + 192*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14222 (base 5) to base 8\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4*10*-4. Suppose -5*y + q*y - 10 = 0. Solve -3*o = 3*c + 6, -2*c + y*o - 25 = -3*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11873 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*h + 15, -4*z + 5*h + 5 + 20 = 0. Let n = 12 + 52. Suppose z*s - n = -4*s. Solve s = 2*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28 - -14) + 179\/13)\/(-1)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11754 and 785354.759.\nAnswer: 773600.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 514 + -503. Let w(k) = k**3 - k**2 + 5. Let s = 0 + 0. What is the least common multiple of w(s) and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 8.77.\nAnswer: -0.2631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-38)*-19 - (6\/(-4) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*756.\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/43904 and 143\/4704.\nAnswer: 131712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/11 - (12\/(-33) + (-1785)\/385)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - 83.4. Let j = 132 + v. What is the nearest to -8 in j, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:13 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**3 + 0*z**7 + 0*z**5 + 1\/4*z**4 + 0*z**2 - 1\/56*z**8 + 0 + z + 0*z**6. What is the third derivative of o(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -13*a + 136 - 66. Put -13, a, 0, 42 in decreasing order.\nAnswer: 42, a, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z - 1. Suppose 6*r = 10*r + s - 64, -r - 5*s = -35. Let p be ((-2 - -9) + 2)\/(15\/r). Determine d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -101. Let r = -2 - -2.1. Put -3, g, r in decreasing order.\nAnswer: g, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006010449 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-1\/13))\/m**(-2\/9))**(-4\/3))**(1\/13))**25 assuming m is positive.\nAnswer: m**(-13400\/4563)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 531.\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.3810835 months?\nAnswer: 0.198423625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 12 - -11) + (-11 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 32. Let l(h) = 22*h**2 + 3*h + 3. Let i be l(-2). Suppose 3*w + 34 = i. What is the remainder when w is divided by b(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0*b - 2*b + b + 3*b. Give z(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/16946 and -127\/9618.\nAnswer: 355866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -3. Let u = v + 9. Calculate the lowest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 13*k**2 - 12*k**2 - 11*k + 2*k. What is h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -549819, -2198090, -4945209, -8791176?\n\"Answer: -549424*k**2 + k - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/11780 and 5\/5301.\nAnswer: 106020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i + 2 + 5 + 1 + 7 + i**2. Let t be d(-11). Let u be 5\/25 + t\/(-15). Sort 0, -5, u, -4 in decreasing order.\nAnswer: 0, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4314.1 - -4314. Which is the nearest to j? (a) 0 (b) 4 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.5 (c) -252 (d) 2 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 27*h - 2. Suppose 0 = -t - 4*w - 28, 35*t + 4 = 37*t - 2*w. Let d(z) = 54*z - 3. Determine t*d(b) + 7*j(b).\nAnswer: -27*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 4599 - 1370 = -9515. Which is bigger: 707 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 51*m + 9. Let c(r) = 34*r + 6. Let i(j) = 8*c(j) - 5*f(j). Let q(g) = -8*g - 1. Suppose 5 - 2 = l. What is l*i(y) + 7*q(y)?\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/370991?\nAnswer: 2\/370991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 13*w**2 + 13*w + 15. Let l be h(-12). Solve l*c = -2 + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.03197 minutes to nanoseconds.\nAnswer: 5041918200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869 + 3282 = 5*c - r, -3*c = -5*r - 1439. Solve 0 = -c*i + 479*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 6, o: 11}. Give prob of picking 2 y.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -5, 1 in descending order.\nAnswer: 5, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1626, 1560, 1494, 1428, 1362?\n\"Answer: -66*r + 1692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 = -0*s + 2*z, -z + 2 = 0. Let b = -2 + s. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 826 + -833.89. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1168 + -988. Solve 10 = -q*b + 178*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 56.76\nAnswer: -39.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 7*j**2 + 8*j - 44. Let y be b(7). Suppose 3*k + 5 = -4*z + y, -k = 3. Solve -z*f - 5*r = -26, 0*f = -3*f - 3*r + 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1791 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 90*w**2 + 114*w + 307. What is y(-3)?\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*r - 2, -13*w + 10*w = -5*r + 2. Suppose w*c + 145 = 397. Solve 0 = 7*p - 7 + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 109. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.6515 years in millennia?\nAnswer: 0.8356515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(2 - 2 - f)*(-2*f - f + f + (-999*f - 1153*f + 674*f)*(1 - 1 + 1)).\nAnswer: 2960*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7167*g - 6579*g + 1176 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.2 (b) -1.6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 - 5. Let h(a) = -10*a**2 + 8. What is 5*h(t) + 8*s(t)?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = 4*s - 3*z - 3253, 2*s - 1146 = 3*z. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -13. Let x be (i*5)\/(21\/37450). What is x rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**3 + 35*y**3 - 131*y**3 + 31*y**3 + 37*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 15. Let o be s(-7). Let w = o - -13. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 12*n**2 - 10*n - 9. Let u be v(11). Let l = 22 + -21. Suppose 2*q + q = 9. Put q, l, u in decreasing order.\nAnswer: q, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76725 or -5\/3?\nAnswer: 76725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y - 81*y - 116 = 0. Calculate the remainder when 57 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-26)*2\/(-3). Let x = 2.061 - 0.061. What is the smallest value in h, x, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*g + 59*g + g**2 - 165*g + 64*g + 0*g**2.\nAnswer: g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(35\/3)*b**(-11\/4)*b**(20\/9)\/b**(-3\/11) assuming b is positive.\nAnswer: b**(4519\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1896, 7729, 17500, 31209, 48856?\nAnswer: 70441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 639\/4 + -159. Suppose 3 = -81*r + 84*r. Is q > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 - 0.41. Let v be -1*3\/12*1\/(-1). Which is the nearest to v? (a) -5\/4 (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80072 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-6 - 35*y + 6) + 2 + 2*y - 2 in the form j*y + r and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = -12. Let t = 3 - o. Suppose 0 = -5*k - t + 5. What is the least common multiple of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38720 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 28861 + 28878 = z, -z + 9 = -4*p for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36743 and 1941?\nAnswer: -71318163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2064 and -31\/149124.\nAnswer: 596496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65\/134 + -1\/67. Let s = -1.49 + 0.49. Let z be 2\/((-246)\/243) - -2. Which is the nearest to s? (a) x (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 34*w**3 - w**2 + w + 1. Let k be o(-1). Let u = -3736 + 3776. Let h = u - k. Which is smaller: h or 76?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 + 21?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2\/9 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.271 - -4.271. Let k = -75 + 76.7. Which is the smallest value? (a) k (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7923, 14983, 22043?\nAnswer: 29103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-170)\/(-51) + 4\/6 - -61. Let z = 75 - m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {n: 2, s: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10547\/2799 + 3\/311. Let j = -4099547\/90440 + 35137\/952. Let d = j + 16\/133. Calculate the common denominator of f and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**4 - 8*v**4 + 4*v**4 + (-v**3 + 4 - 4)*(-662 - 3*v + 685 - 15*v) in the form c*v**4 + k*v + b*v**2 + i*v**3 + q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -139690 divided by -4?\nAnswer: 69845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.1 - 5.4. What is the third smallest value in c, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10720 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 9*q - 24)*(2*q**2 + 0*q + 0*q) - 19*q**2 + 40*q**2 + 6*q**3 - 20*q**2.\nAnswer: 24*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let l(s) = 0 + 0*s + j - 3*s**2 + s**3 - 3 + s. Give l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2851*r + 3 + 4263*r - 3.\nAnswer: 7114*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*o - 2*o. Let u = 1 - -2. Suppose 3*x + 2*m - 128 = -2*x, u*m + 12 = x. Calculate the highest common divisor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) + sqrt(2057) + 1 + sqrt(2057) + (sqrt(2057) - 1*sqrt(2057)))**2.\nAnswer: 66*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**4 + 0*b + 324\/13*b**2 + 0 + 6\/13*b**5 + 414\/13*b**3.\nAnswer: 2*b**2*(b - 9)**2*(3*b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 - 3.98. Let z = -0.52 + o. Which is the closest to 1\/3? (a) z (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 - 13. Let p be s(0). Let v = -5 - p. Let k(n) = n**3 - 9*n**2 - 9*n + 6. Let u be k(10). What is the highest common divisor of v and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4150\/150 - 4\/6. Let i(l) = -72*l + f*l - l - 65*l. Let q(z) = -2*z. Determine q(i(b)).\nAnswer: 222*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 22*s**2 + 59*s + 81. Calculate z(-19).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:57 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 47*j - 10813. Give w(230).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 less than 0.17128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21745 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 18*w - 11. Let r be k(-2). Let o(u) = -11*u + 28*u - r*u - 11*u. Let z(x) = -20*x**2. What is z(o(d))?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 209\/(-399) + 2\/(-14). Which is the third smallest value? (a) 1\/5 (b) g (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 - s + 2. Let i be (-3*1\/(-6)*-12)\/(-2). Determine g(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (10 - (-2 + -3) - -8 - 79).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 11 = -5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/287 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-984)\/(-16)*(-18)\/(-9)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6.2234?\nAnswer: 5.7766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/(6\/15). Let t(r) = 1 + 3*r - x*r + 4*r + 1. Is t(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2\/2 - 104*h - 1134. Let m(d) = -2*d - 6. Determine o(m(n)).\nAnswer: -2*n - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29151 + 1429*r + 58303 - 29152 to the form s*r + j and give s.\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*m + 467*j**3 - 4*j**2*m + 211*j*m - j + 17*m + 70 with respect to m.\nAnswer: 2*j**3 - 4*j**2 + 211*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9. Let f(i) = -3*i - 3 + h*i + 3*i - i. Let s(n) = -n - 4. Let p(m) = -m**2 + 18*m + 24. Let r be p(19). Determine r*f(c) - 4*s(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -21. Suppose 5*v = -2*z + 14, m*v = -2*z + 9 + 1. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29852563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoococoaolazacoloozc. Give prob of sequence lz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5801*f**2*u**2 + 53*f**2 + f*u**4 wrt u?\nAnswer: 11602*f**2*u + 4*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (585\/26 - 14)\/((-10)\/(-20)) - 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/67, -2, -2\/7, -0.4, -3, 1603\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 28570452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 10:34 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.531044l in millilitres?\nAnswer: 4531.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -81*b**2 + 33. Suppose -5*n + 5*d = 145, -140 = -0*n + 4*n + 2*d. Let o(q) = -5*q**2 + 2. What is n*o(l) + 2*r(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1787, 7139, 16059, 28547, 44603?\nAnswer: 64227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -485*s**2 + 237*s**2 + 7*s + 120*s**2 + 106 + 129*s**2 in the form c*s**2 + a*s + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -2*g**4\/3 - g**3\/6 - g**2\/2 - 9*g. Give d(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2617389\/2718205 - -11\/14693. Let d be 1 - 0 - 43\/37. Let s = d - z. Is 0.4 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 4*v + 1208 = 0. Suppose -v - 189 = -4*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 62*l**2 - 34. Let w(a) = -2*a. Determine w(u(s)).\nAnswer: -248*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 0.2 (b) 4\/9 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 69794956 divided by 121594\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**3 - 2*f**2 + 2*f - 1. Let v be y(1). Let r = v + -4. Suppose 3*j + 0*j - 33 = r. Solve 4*i + 9 = -j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i + 1945*i**2 - 969*i**2 - 967*i**2. Let l(h) = 5*h. Calculate b(l(v)).\nAnswer: 225*v**2 - 25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t**2 - 75*t - 105. Let o(a) = -4*a**2 + 26*a + 35. Let n(j) = 17*o(j) + 6*s(j). Let r be n(-6). Round r to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 65. Let g be (h\/3*-3)\/(-2)*4. Which is greater: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 834 - 595. Calculate the remainder when o is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-42)\/9)\/((-1)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00541973 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*1*11*(-180)\/(-198).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/17 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a33 (base 12) in base 10?\nAnswer: -1479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178 - 38. Let u = -1509\/7 - j. Let u*p**2 + 9\/7*p + 0 = 0. What is p?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110489 is divided by 18089.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 3) in base 13?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13 - s + 2*s + 0*s. Let i = 19 + -10. Let d be f(i). Do -4 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 340 = 215. Suppose 2*t - 1 = 1. Let j = t + n. Which is smaller: j or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 2*o**2 - o**2)*(-1509 + 1509 - 46*o - 2*o + 4*o - o + (-5 + 2 + 4)*(3 - 3*o - 3) + 2 - 2*o - 2) as k*o**3 + d + l*o + p*o**2 and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x**(-4))\/(((x**0*x)\/x)\/x)**(-7\/10)*(x**(2\/3)*x)\/x**(-1)*(x*x**(1\/3)\/x)**(-39) assuming x is positive.\nAnswer: x**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i**5 + 2*i + (19*i - 19*i - 5*i**3)*(3*i - i**2 - 3*i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 615500 times 10?\nAnswer: 6155000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idd when three letters picked without replacement from {i: 7, d: 3, z: 6, r: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from potpooopkgggopp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*r**2 + 2 + 51*r - 689*r**3 + r**2 + 692*r**3 + 28.\nAnswer: 3*(r + 1)*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/28 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-20))\/((-28)\/(-210)). Let w = 5\/77 + 4\/11. Which is the nearest to -0.2? (a) w (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 0*h + s, -h + 4 = -2*s. Suppose 0 = 3*c - 3*x - 99, h*c - 106 = 3*c - 4*x. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90219 at most as big as 90219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (2 + -2)) + (0 - 21). Sort q, 2, 4 in descending order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 354343)\/(26 - 27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023711 rounded to four decimal places?\nAnswer: 0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2. Let s(q) = 10*q + 6. Let a(d) = -7*d - 4. Let z(x) = -7*a(x) - 5*s(x). Suppose -3*l + 2 = -4. Give l*z(o) - 3*t(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378 - 2650\/7. Which is the third smallest value? (a) 0.5 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, 1 z, and 1 s when four letters picked without replacement from iislniiszsi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*n + 18, -k - 3*k + 5*n = -21. Let x(v) = -v**2 - 8*v + 2. Let f be x(-7). Solve 0 = -k*t + 5*o + 12, -3*t + 0*o = o - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 69*q + 1168. Calculate p(83).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m + 43*m = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*w = 4*i + 3, 0 = 2*i - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 190152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-23)\/((-230)\/(-12))*-15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1912 divide 760744429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9105 - 9148. Sort 5, r, 3, 0.\nAnswer: r, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 20. Let t(h) = h**2 - 21*h + 28. Let j be t(16). Let i = j + 62. Give f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 177169, 177171, 177173, 177175, 177177, 177179?\n\"Answer: 2*p + 177167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144 - 7*l - 3212*l**3 + 995*l**3 + 10372*l**3 - 239 wrt l.\nAnswer: 48930*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 70 = -b, 64*b - 60*b = -4*v + 5 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 21. Let l(k) = k**3 + 11*k**2 + 12*k + 2. Let h be l(-10). Let d be o(h). Solve 0 = y + 3*x + 7, 2*x + 0 = -d*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1. Let s(a) = 1 - a**2 + 4*a + 3*a + 0*a - 2*a. Let o be s(6). Let q(t) = 2*t + 4. Let r be -1 - -2 - (2 - 2). What is o*b(k) + r*q(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 3486682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:09 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 8 + 6 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4747 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 669?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 5545.\nAnswer: -22180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-55)*70\/(-8) and 2\/3*(31 + 9480\/(-192)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = -s, 4*c = s - 4*s. Suppose c*o = -o. Suppose o*h = -2*h. Which is smaller: h or 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h. Suppose -4*s + 5 = -15. Let j = s + h. Solve -j*z = 16 - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9270)\/2472)\/((-9)\/2*-1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-35)\/30 + -2. What is the third smallest value in -1, s, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:54 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1907 + 21*p + 1907 to the form n*p + u and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -117452, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 116 + 116 + 7*u + (0*u**2 - 2*u**2 + u**2)*(0*u**2 - u**2 + 3*u**2) + 0 - u**4 + 0.\nAnswer: -5*u**4 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 527*q + 68. Let v(s) = -39*s - 5. Let i(a) = 5*m(a) + 68*v(a). Let z(u) = 2*u. Calculate i(z(k)).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 + f**5)*(4 - 1 - 1) + (4 - 4 - f)*(-414*f - 45*f**4 + 414*f).\nAnswer: 47*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 8 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 808040.\nAnswer: 3\/20201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 - -121. Suppose 5*l = 5*x - 78 + 3, 4*x + 5*l = 60. Solve c = -0*g + 5*g - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 + 4253*b**3 + 12233*b**2.\nAnswer: -120*b**2 + 25518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138, -1173, -1196, -1201, -1182, -1133, -1048?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/20 and 769\/176 + -4 + -6 + 6.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -414787, 4, 1\/7.\nAnswer: -414787, -4, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -136a4b (base 12) to base 16\nAnswer: -4ed5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 2. Let x = 18 + b. Calculate the remainder when 53 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4042907987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3 - 146810*r**2 - 10620*r - 14?\nAnswer: -18*r - 293620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbgggggggggg. Give prob of picking 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1345 + 68591\/51. What is the common denominator of b and -16\/33?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10793231, 10793230, 10793229, 10793228, 10793227, 10793226?\nAnswer: 10793225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/17*a**4 + 0*a + 0 + 12\/17*a**3 - 16\/17*a**2 = 0. Calculate a.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 8. Let c(i) = 43*i + 11. Is c(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, d - 2*d + 8 = -3*z. Let n be -45 + z + 5 - 3. Is 5 a factor of (-2)\/15 - 816\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n - 5. Is 2 a factor of 4\/1 + n + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3900 and 2.1546.\nAnswer: 3902.1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g + g)*(-3*g**2 + 0*g**2 + g**2)*(-5*g - g**2 + 5*g).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/2 + 123*p + 5043\/2 = 0. Calculate p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 261342921 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/35*-5 - -1145?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24)*6)\/((-1)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.100981 - 700?\nAnswer: -700.100981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -2\/19 (c) -0.4 (d) 0.2 (e) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45 + -44 - (3 - 0). Let b(o) = o**3 + 2*o**2 + o + 1. Let p be b(t). Which is smaller: 1\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/6 + 63*t**2\/2 - 52*t. Differentiate v(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4830.\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 + 4*r**2 + 6*r + 4. Let s(t) = 8*t**3 - 5*t**2 - 7*t - 5. Calculate -5*a(x) - 4*s(x).\nAnswer: 3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 10. Let i be q(-8). Let x(a) = 3*a + a - i*a + a. Let m be x(8). Calculate the highest common divisor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 74?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(5*i**5 - 4*i**5 + i**5) + (0 + 0 + i**4)*(132 + 574*i - 71 - 64) + (0 + 2*i**4 + 0)*(2*i + 1 - 1).\nAnswer: 584*i**5 - 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*t**2 - 5*t**2 - 7*t**2)*(2*t - t + 0*t) + (t**2 + 3*t**2 - 2*t**2)*(10 - 3 + 3)*(-8 + 2*t + 0 + 3) to d*t**3 + h*t + q*t**2 + o and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*m - 6808 = -1141 + 2949 + 1795 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.486 - 8.\nAnswer: -2.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = 2*a. Let q = -3 - a. Let k = 4 - q. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 5*s**2 - s**3 + (s - 3*s + 4*s)*(-3 + 3 + 4*s**2) to g*s**2 + v*s**3 + x*s + b and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -388284320 to the nearest 1000000.\nAnswer: -388000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3343 + 102 = -5*d. Suppose -43*r = 94*r + 548. Calculate the remainder when 72 is divided by d\/(-39) - r\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 8 + 44 + -36 - (5 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006882 to six decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4556*r - 544. Let t(b) = b + 4. Determine s(p) + 136*t(p).\nAnswer: -4420*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 408*g - 10404.\nAnswer: -4*(g - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 m, and 1 z when four letters picked without replacement from dplkmzm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -39, -61, -83, -105, -127?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.04 (c) -0.8 (d) -1 (e) 240 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/10, -0.5583 in descending order.\nAnswer: 0.4, 3\/10, -0.5583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 21101*s - 21090*s - s**2 - 61 as i*s + j*s**2 + q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 4*q + 1. Let f be x(-4). Let i be (f - -1) + -4 + 3. Let w be 0\/(-2) + i\/4. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f - 1\/10*f**5 - 1\/3*f**3 + 1\/3*f**4 - 1 + 0*f**2. Let a(t) be the first derivative of w(t). Find n, given that a(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - x = -138. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 + r**2\/2 - 4*r - 647. Let y(j) = 35*j**2 - 8. Let x(k) = -23*k**2 + 5. Let t(o) = 8*x(o) + 5*y(o). Give b(t(q)).\nAnswer: -81*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + i = 10, 0 = 4*i - 2*i. Let j be f\/(-15)*(-66)\/4. Let p = 8 + 91. What is the greatest common factor of j and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-858)*(-2 + -4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 - q. Let z be o(-1). Which is the closest to z? (a) 2 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - n + 6804 - 6818 = 0, -4*n = 2*y + 78 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**4 - 12*w**4 - 8*w**2 + 4*w**4)*(2*w + 0*w - w) + 5*w**5 - 235*w**4 + 235*w**4.\nAnswer: -10*w**5 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19*((-30)\/(-14) + -2). Let j = g - -3. Let f(u) = u**2 - 11*u + 10. Let y be f(10). Is j less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -901442706 + 5735879951941\/6363. Let x = k + -4\/909. Calculate the common denominator of x and -7\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/2619 and 89\/18?\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 43 + 2*i - 43. Let v(c) = -11*c. What is v(f(h))?\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -573\/5 - -2269\/20. Let y = f - -401\/140. Find z such that -2\/7*z**3 - 10\/7*z + y*z**2 + 0 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*4 - -4*sqrt(19)*-1.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5446 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let s be (-128)\/7 - (-2)\/7. Let u(f) = -4*f - 5. Let o = 35 + -22. Let w = 9 - o. What is s*v(i) + w*u(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*u - 213. Suppose 4*m = -2 + 38. Suppose 4*k + m = -j + 38, k = -5*j + 12. What is the greatest common divisor of u and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/665 and -11\/4655.\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrrxumsrlss. What is prob of sequence lu?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13204942 is divided by 230?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a\/(a*a\/a**(-23)))\/a)\/a*a)**(1\/80)\/(a**16*a**(-3\/4)) assuming a is positive.\nAnswer: a**(-311\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -290 - -240 - (3 + -60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 153 = -54. Let j(a) = -a**2 - a + 38. Let v be j(-6). Solve -w*y = -v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 13. Let u be o(-10). Is 17 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -496 + 528. Let j(z) = -8*z + 31. Calculate the remainder when j(-7) is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.4 + -998084661.51.\nAnswer: -998084681.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*y**5\/4 + 48085*y**4\/4 - 63505*y**3\/2 - 1776245*y**2\/2 - 9095695*y\/4 - 2642475\/4 = 0. Calculate y.\nAnswer: -5, -3, -1\/3, 11, 3203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6608857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -2 + (-89 - -5) + 115.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3978 divided by -6?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-987)\/(-3) - (-9)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1872) - ((sqrt(39)*-2)\/sqrt(3))**2.\nAnswer: -52 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*o + 2870, -15*o - 5752 = -4*d - 11*o. Is 45 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k + 3. Let s be 34\/1 - 3\/(-1). Let t = -35 + s. Suppose 0 = -2*a + 4, t*w - 2*a - 5 + 1 = 0. Give q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)\/(sqrt(6) + sqrt(54)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -1001110010?\nAnswer: -1001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -927090.35 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 1. Let d(p) = p + 2. Let q(i) = d(i) + 2*x(i). Let t be q(8). Let b = 6 - t. Solve 4*l = 6*l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425618?\nAnswer: 2, 3, 79201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90439783 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3217 by 3.\nAnswer: -3217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1492926009\/208 - -7177469. Let u = -820\/13 - h. Calculate the common denominator of -49\/26 and u.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**4\/6 - 2931*q**2. Let v(a) = 4*a + 1. Let w be 3*-1*6\/9. Give w*v(n) + 3*f(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 + 80 + 24 + (1 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 17*v**2 - 13*v + 22. Let s be d(16). Let f = 66 - s. Is 80 - ((-1)\/(-4) + 13\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Suppose 4*x = -v*x + 12. Suppose 0 = -x*u + 34 + 150. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1446 + 61*p**4 + p + 216*p**4 + 76*p**3 - 73*p**3 + 2401 wrt p?\nAnswer: 3324*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 26*i**2 - 15*i - 13. Determine f(12).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/4 + 11*a**3\/3 + 3*a**2 - 36*a - 293. Let w be b(-10). Solve -9*n = -w*n - 3*f + 34, -2*f = -3*n - 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/285)\/(3\/(-855))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4471443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2526, -2534, -2532, -2514, -2474, -2406, -2304, -2162?\n\"Answer: l**3 - l**2 - 12*l - 2514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12888, 60989, 141158, 253395, 397700, 574073?\n\"Answer: 16034*x**2 - x - 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = r + 17. Let d be (-500)\/(-40)*((-2)\/r - 1). What is the units digit of (2 - (-56)\/(-20))\/(2\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -130, -65, 102, 419, 934, 1695, 2750, 4147?\n\"Answer: 8*b**3 + 3*b**2 - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:43 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qicucucuiuqucv. What is prob of sequence cvui?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3078081.337 and 0.6?\nAnswer: 3078081.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138073 is divided by 240?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -12*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1283, -5156, -11611, -20636, -32219?\nAnswer: -46348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 31 = -3*o - 3*l, 0 = -2*o + 5*l - 17. Suppose o = -2*r - 5*y - 5, 4*y = 5*r + 39. Let n = r - -16. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -9\/89, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -16. Suppose 26 - 44 = -6*w. Suppose 3*g = -w*t + 6, -5*g = 7*t - 4*t - 10. Solve 2*j + 0*q - 5*q = -15, -g*j - 3*q = x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.2, -1, 2\/9, -152?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/378553 and 46\/2217239?\nAnswer: 15520673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22328 - -36228. Round a to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1754.4 to the nearest ten.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/28 + 800\/(-350).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Which is the closest to u? (a) 2\/7 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-6)\/(-1)))\/(1\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3 + 299455*v**2 + 1497300*v = 0.\nAnswer: -5, 0, 299460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1716 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 10*p**2 - 5. Let c be q(-5). Let y = c + 102. List the prime factors of y\/3*60\/(-40).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 893 + -3 + (-12 - -10). What is the greatest common factor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 + 5*m**2 - 5*m**2 + (57 + 69 - 18)*(6*m - 6*m + 3*m**3).\nAnswer: 321*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211333 (base 4) in base 16?\nAnswer: 97f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {w: 9, h: 7, f: 2}?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from bfcfhbcbfbbhb?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 45\/6) + (-11)\/(-22). Let c(b) = -b**2 - 6*b + 16. Let z be c(n). Solve 5*g + z = 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -149 + 98 + (5 - 6)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 1064*k**3 + 4*k**2 + 1064*k = 0.\nAnswer: -266, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-298)\/(-14) - (-2)\/(-7). Suppose -y = 6*b - 9*b. What is the remainder when 25 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z + 8. Let j be h(-3). Suppose 5*f = 2*c + 50, 2*f + 15 - 49 = -2*c. Is j less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103289\/527 + 196. Does -1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 - -445153?\nAnswer: 445152.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 divided by -1?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 6}. What is prob of picking 3 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3\/7 - 320780*h**2\/7 + 213856*h\/7.\nAnswer: -2*h*(h + 53464)*(3*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 239\/(-7) - -2*1\/14. Let d = k + 38. Sort -0.3, d, -5, 1\/3.\nAnswer: -5, -0.3, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 8 = -4*q + 2*m, -q + 5*m - 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h + 32934 - 33090 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + 1.75. Let i = w - 4. Let s = -2.2056 - i. Round s to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*z + 3*p, -3*p - 2 = -z - 3. Let l = 7 - z. What is the third derivative of 9*w**2 + 2*w**2 + w**5 - 5*w**l - 3*w**5 wrt w?\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -1) + 6\/(-2). Let a(i) = i**3 - 3*i**2 + 4*i - 2. Let o be a(u). Suppose n = o*n. Solve -3*v + n*v = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12095431, 24190864, 36286297, 48381730?\n\"Answer: 12095433*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -54.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -99. Let n be 5*(w\/(-5) - -4). What is the third derivative of -5*v**4 - 26*v**2 + 5*v**n + 6*v**5 + 16*v**5 wrt v?\nAnswer: 1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526888 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -688 and 67.988.\nAnswer: -46775.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512375777 to the power of 1\/2, to the nearest integer?\nAnswer: 38889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -342691.\nAnswer: -68\/342691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109690 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 3 = 48*a, 3*q + 2*a - 82864 = 0. What are the prime factors of q?\nAnswer: 2, 7, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2) - 1)\/((-2)\/(-16)). Let m(t) = t**2 + 3*t - 2. Let x(r) = -r**3 - 8*r**2 + 8*r + 3. Calculate the lowest common multiple of m(i) and x(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*o + 217*o + 662 + 7378 = -834*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1352157\/7 >= -193166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 53. Let s be j(11). Solve 0 = -5*q + 2*q + l - 8, 2*l + s = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-63)*(-150)\/175?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lfllllfllllfff?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 36 = -5*b - 143, -5*k - 59 = 2*b. Let w(x) = 27*x - 2. Let j(d) = 108*d - 8. Let v(o) = b*w(o) + 6*j(o). What are the prime factors of v(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1717805009 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -40882, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + (0 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*r = 19, -r = 5*q - 10 - 13. Suppose q*h = -3*m + 4704, 5*m + 3747 = 4*h + 2*m. What are the prime factors of h?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13660 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71632, 71655, 71678, 71701, 71724, 71747?\n\"Answer: 23*j + 71609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2471.096 * -0.1.\nAnswer: -247.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(27*(-663)\/459).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 140. Solve -6*g = -5*w - 2*g + 1, l*g - 3 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46590 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196205 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 -8834, -17355, -25910, -34499, -43122, -51779, -60470?\n\"Answer: -17*m**2 - 8470*m - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142456 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2786 times -0.04282?\nAnswer: 119.29652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42145120 divided by 4640.\nAnswer: 9083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 104 (c) -124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 46.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = 5*b + 98, -b - 282 = -5*s. Let d = 7943 + -7894. Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1228 + -1224. Solve 4*s - 16 = -w*g, 9*s = 7*s - 3*g + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130037716 to the nearest integer?\nAnswer: 11403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-38))\/(2\/6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o - 2455 = 1966 - 263. Solve 18*g = -o - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378*h**4 - 526 wrt h.\nAnswer: 1512*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -471 + -444. Does 10 divide ((-4)\/14 - l\/42)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*m - v - 17, 0 = -m + 5*v + 14. What is the units digit of 13 - m - 4\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1149635 + -0.115. What is g rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 31. List the prime factors of (-1)\/((q\/15)\/(4 + -2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u + 3*m = 35, 0 = -5*u + 5*m - 5. Let d(y) be the third derivative of -9*y**2 - y**3 + 1\/8*y**u + 1\/20*y**5 + 0 + 0*y. Factor d(f).\nAnswer: 3*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*q + 8 + 13 = 0, 2*q + 29 = 5*j. Find the third derivative of -4*z**5 + 5*z**j - 5*z**2 + 11*z**5 wrt z.\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -13. Let k = 107 - d. Suppose 2*p = -3*f + 69, 5*f = 3*p - 7*p + k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 178\/29?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121996950 a multiple of 2224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1379807166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from ghghhhggghpph?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55314102 (base 7) to base 15.\nAnswer: 640670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 5. Let t(w) be the first derivative of w**3\/3 - 3*w - 4. Let p(g) = -3*i(g) - 5*t(g). Let z(x) = 3*x**2. Calculate p(z(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 116. Let a = f + -16. What is the lowest common multiple of a and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10530*v + 11672*v - 7411*v)*(3*v + 4 - 4) + (2*v + v**2 - 2*v)*(-2 + 0 + 1).\nAnswer: -18808*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66312213137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -639*q**5 + 132*q**4 - 18*q**2 - 865623112*q.\nAnswer: -12780*q**3 + 1584*q**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/28 (b) 0.05 (c) 3 (d) 966\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 180 = 9*m. Let y be (5 - 2)*(-3)\/m. Which is the nearest to -0.1? (a) y (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 251. Find the first derivative of h - 14 - 208*l + 93 wrt l.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 44, -11, 11.\nAnswer: -14, -11, 11, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39123412 a multiple of 1857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 19. Let b = o + -251. Let i = b - -428. Calculate the greatest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53190?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13596 and 9064.\nAnswer: 27192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3197*d = -3210*d + 429. Sort 3, d, 0.\nAnswer: 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -54209*y. Let k(q) = -5*q**2. Give v(k(j)).\nAnswer: 271045*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upg when three letters picked without replacement from uggrpuxrrugrxrruu?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 93968800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - (-5 - (1 - 5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 2*c**2 + 2*c - 3. Let h = -7 + 17. Suppose g = 3*z - h, 2*g + z - 4 = 4. Is u(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.25 - 28. Let y = b - 0.15. Let u = 0.03 - -0.27. Sort u, 9\/2, y in decreasing order.\nAnswer: 9\/2, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1 - -1) + (36 - (-24 - -25)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.05, -0.5, -61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1 (c) -55 (d) 3 (e) 11\/4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v - 15*v - 2*v**2 + 19*v in the form b*v + o + j*v**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 + x**2 + 2*x**2)*(-3 - 1 + 3)*(3 + 4 - 4)*(-3 + 1 + 1) as g + k*x + c*x**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28407 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2697798037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/17*-11*(-72)\/(-18018)*-13.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l**2 + 33*l**2 - 1 - 13*l**4 - 2 as g + c*l**4 + q*l**3 + i*l + r*l**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 570 = -64*l. What is the remainder when (-9)\/((6\/10)\/(-3)) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 351?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*4955.2.\nAnswer: 495.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18392163 + 0.06\nAnswer: 18392163.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.178 - 0.278. What is the smallest value in o, 0, -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -30, -23, -14?\n\"Answer: f**2 + 2*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 82 + -1 - 3. Suppose -5*a + 65 = 4*v, -5*v = 2*a + a - d. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -367425*m**2 - 2343. Let r(k) = 627*k**2 + 4. Let o(v) = -4*g(v) - 2343*r(v). Let p(t) = t**2. Give p(o(x)).\nAnswer: 408321*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 - -169. Let a = 33 - 22. Let y = -11.1 + a. Sort y, k, 2.2 in ascending order.\nAnswer: k, y, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 - 104*o - 81. Let d be c(-34). Let l(i) = i**3 + 13*i**2 - 17*i - 36. Let r be l(d). Which is bigger: 184 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 + 3219*b - 3453987.\nAnswer: -3*(b - 2146)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 590940075 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f - 10. Let d(m) = -m + 1. Let v(z) = -5*d(z) - p(z). Let t be v(5). Solve t*s - 4*s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 250\/9 - (-2)\/9. What is the greatest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 l when four letters picked without replacement from hhlghmhlhhhhhhfhlf.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zdzzd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3)*(-8)\/12. Let v(b) = -f + 3*b + 0*b - 2*b. Calculate the lowest common multiple of v(4) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.05.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (3 - 0\/4) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*a**2*q**2 + 346616*a**2*q - a*q**2 - 7*q**3 + q**2 wrt q?\nAnswer: -48*a**2 - 2*a - 42*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 21) + 88 + -8 + -3\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 1 - 2*a**4 + 2*a**2 - 12*a + 26*a - 3*a**2 - 9*a to b*a**2 + c*a**3 + h*a**4 + d*a + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1)*-3.\nAnswer: -9*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/6)*c)\/(c*c**1)*(c*c**(-3)\/c)\/c*c\/(c*c**(-2\/11)))**(14\/3) assuming c is positive.\nAnswer: c**(-1841\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 - 9*v + 24. What is q(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*w - 78248 + 74826 = 0 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16216.47 centuries in years?\nAnswer: 1621647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2295*m**2*y**3 - 2*m**2 + 15111*m + 2*y**3 wrt y.\nAnswer: -6885*m**2*y**2 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 7*k**4\/24 + 3*k**2 + 4. Let r(m) = 2*m - 4. Let y(x) = 4*x - 7. Let b(a) = -7*r(a) + 4*y(a). Give t(b(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r**4 - 574075*r**3 + 6461660*r**2 + 22541065*r - 6030150 = 0. Calculate r.\nAnswer: -28715, -3, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 15, 0 = -f + 2*g - g + 3. Let u(o) = 32*o**3 + o**2 - o. Let z be u(1). Calculate the highest common divisor of z and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 561.167 hours?\nAnswer: 2020201200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -5*a + 21, -5*a - 5*t = -20. Let j = 3 + 3. Let c = j - a. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + u**3 + 0*u**3 + (-3*u**3 - 2*u**3 - 1 + 4*u**3)*(6 - 2 - 1)*(6 - 5 + 3).\nAnswer: -13*u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 317940268 a multiple of 3391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -z - 3*s + 9, 5*s - 20 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) -3\/13 (d) 3 (e) -2\/7 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 100110111000?\nAnswer: 100110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215528 divided by 116.\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 48 = -2*h - 136, 5 = -5*w. Let r = h + 70. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62850975 a multiple of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/(-1 + (-124)\/(-126)). Suppose b = c + 9. What is the greatest common divisor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-12 - (4 + -15 + 10))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 308151 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 57065 (c) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681748.\nAnswer: 2, 41, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (55 + -8) - -1 - -79\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*8*(-15)\/(-990)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*g - 8*j, 38*g - 4*j - 24 = 34*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5846.265175 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 + 10*b**4 + 10*b**3 - 10*b**2 - 12*b = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63c08 - -1399?\nAnswer: 652a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzgc when four letters picked without replacement from {z: 5, t: 5, k: 2, s: 3, c: 4, g: 1}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - 4ce4?\nAnswer: -4cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) -1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 4*i**2 + 8*i - 2. Let d be p(7). Let q be d\/(-7) + 4 - (-2)\/(-7). Solve -q = -4*v + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 315, 429, 519, 585, 627?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 3. Let i(z) = 5*z + 4. Suppose -c + 6 = 2*c. Let s = -1 - c. Let q(x) = s*i(x) - 4*n(x). Let v(g) = g + 1. What is q(u) - 2*v(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -436259, -436244, -436245, -436268, -436319, -436404, -436529, -436700?\n\"Answer: -p**3 - 2*p**2 + 28*p - 436284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74512 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*d - 3*d = 92*d - 43*d - 20064 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j**2 + 16*j - 2.\nAnswer: -2*(j - 1)*(7*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494130446.\nAnswer: 2, 3, 41, 2024567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 18*k**2 + 23*k + 121. Calculate c(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(5 + (sqrt(2268)*2)**2 + -1).\nAnswer: 18152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 23*z**5\/60 - z**4\/4 + 4*z**3\/3 + 44*z**2. Is t(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 88 = -38. Let l = -35 + i. Let q(y) = -5*y - 1. Let c be q(-3). Calculate the highest common divisor of l and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14305*d**3 + d**2 - 5*d + 200?\nAnswer: -85830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2. Let h(s) = 2*s + 9*s + 5*s - 24*s. What is h(z(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 4*y**2 - 19*y**2 + 0 - 2 as v*y + i + j*y**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1713 - 1468 = 0. Calculate the greatest common factor of k and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d + 3*g + 4, 2*g = -d - 4. Suppose -7 = -u - d. What is the units digit of (u - 4)*-1*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13651.34 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3640 greater than or equal to -3639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 9:00 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2011222111201 (base 3) to base 5\nAnswer: -244122223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931)*2*-4 - sqrt(931)))**2.\nAnswer: 59584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + p + 1 + 14*p**2 - 2*p**2. Let m be (-6)\/12 - 9\/(-6). Is u(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/(-34) - (15\/2)\/(-3). Suppose -j*m + 5*p = -25, m - p = -3*m + 21. Which is the closest to 0.1? (a) -4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 40*t**2 - 12*t + 12. Is 5 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27096.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -1, 41, 29, -5, 7 in descending order.\nAnswer: 81, 41, 29, 7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 909.8636 years?\nAnswer: 90.98636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 148, 123, 40, -101?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8919 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 334592900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/2752?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -850, -1059, -1268, -1477?\n\"Answer: -209*d - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 6. Let q(r) = -9 - 12 - 16 - 17 + 53. Let x be -1 + -1 + 2 + 1. Calculate x*g(u) - 6*q(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 510*q**3 + 27291*q**2 - 477360*q + 2628288.\nAnswer: 3*(q - 72)**2*(q - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) - (-2)\/10*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 26 = -2*q, 2*q - 3*x - 23 = -0*q. Suppose 6*r - 7*r = -18. What is the remainder when r is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, -0.016, -2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27711722 (base 8) in base 15?\nAnswer: 83ade2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -13. Let s = -58 + 291\/5. Which is the smallest value? (a) z (b) -10\/13 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*x**4 + 15548*x**2 - 262*x**4 - 14887*x**2 wrt x.\nAnswer: -7656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/(-1)*-5. Let l = -23 - -21. Which is the closest to u? (a) -3 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -827 + 826.8. Which is the third biggest value? (a) w (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/30 - 111*o**5\/20 + 1043*o**4\/12 - 1486*o**2. Find the second derivative of g(a) wrt a.\nAnswer: 24*a - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 7*k**2 - 8*k + 3. Let x be u(8). Let a = 141 + -137. Solve a*r + x = -5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -233*((-3)\/(-3) - 2). Suppose -4*v - 683 = -2*c - s, -682 = -3*c - v. List the prime factors of c.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1149*k - 6043. Determine q(-5).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 1423*g**2 + 7*g + 7. Let q(x) = -x**3 + 949*x**2 + 5*x + 5. Give 7*q(c) - 5*w(c).\nAnswer: 3*c**3 - 472*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8878 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - 0.95. Let s = -1 - -1.5. Let x be ((-1)\/(-2))\/((-185)\/(-74)). What is the nearest to l in 5, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -43230144?\nAnswer: 43230146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - -0.2. Let l = -60.8 + -280.2. Let o = 340.6 + l. Sort m, 0.5, o in decreasing order.\nAnswer: m, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i**3 + 17*i**2 + 17*i + 17. Let m(r) = 7*r**3 + 13*r**3 + 6*r**2 + 6*r + 6 - 12*r**3. What is 6*k(g) - 17*m(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 625 = 30*y. Solve -4*c + 2*z - 8 = 0, -5*c - y + 2 = 4*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 3. Suppose -o = -0*o - 2. Let i(b) = 9*b**2 + b + 1. Calculate the remainder when i(-1) is divided by s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5020010886 + 0.05306.\nAnswer: 0.5550610886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + 7*q**3 - 7*q**3)*((-q + q + q)*(3 + 0 - 4) - 9*q - q + 0*q).\nAnswer: 22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0351 + -18.2649. Put 2, -2\/19, o in ascending order.\nAnswer: o, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 - -106?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 224*t + 3356. What is b(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 11 - -13 - (-13 - (4 - -1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 623483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.234 + 128.766. Let w = o + -134. Let g = 1.3 - 4.3. Which is the fourth biggest value? (a) w (b) g (c) -1 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 - 379*l - 3770.\nAnswer: -(l + 10)*(l + 1885)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 65*m - 959. What is a(-25)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*f**4 + f**3 + f**3 - 47*f + 48*f + 5*f**2 - f**2 to the form v*f**4 + n + r*f**3 + a*f + i*f**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*1 + -4)**2 + sqrt(343) + (-2*sqrt(343)*-1)**2 + sqrt(343).\nAnswer: -42*sqrt(7) + 1731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -281, -2138, -7187, -17024, -33245, -57446, -91223, -136172?\n\"Answer: -266*r**3 + 5*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 6. Let o(u) = -2*u**2 + 161050*u - 161050*u. What is o(v(n))?\nAnswer: -128*n**2 + 192*n - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 279671600 to the nearest 1000000.\nAnswer: 280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70375 is divided by 16563?\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/21 - 5\/(-7). Let u(n) = 8*n**2 - 8*n - 6. Let w(r) = 7*r**2 - 7*r - 5. Let b(v) = 6*u(v) - 7*w(v). Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/19, 5\/3, 1\/5, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 969 + -393. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 3*l**4 - 4*l**4 + 0 - 4*l**4 + 0 + (-4*l - l + 2*l)*(-3*l**3 + 6*l**3 - 2*l**3).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 31*r + 40 = 36*r, -41*r = -5*q - 4*r - 464 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194364, -388729, -583080, -777411, -971716, -1165989, -1360224?\nAnswer: -1554415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.47200857 rounded to zero decimal places?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 26 + (2 - (-2 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let n(c) = c**3 + 5*c**2 + 4*c + 1. Calculate the smallest common multiple of 9 and n(r).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*y - 6 = -16, -4 = 5*w + 2*y. Solve 2*j + w*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 8 = -27*i + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1164 + 264. Round m to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232621123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2 - 12. Let f be ((-20)\/(-8))\/(u\/(-4)). Solve -f + 3 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1261 and 15067.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.05107 rounded to 1 dp?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4, 4\/25, 2, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.57635537 to 3 decimal places.\nAnswer: 1.576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.411086889 to three dps.\nAnswer: -0.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2610 + a**2 - 5212 + 2602 - 40*a + 40*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33632382 divided by 6\nAnswer: 5605397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 68 - 40. Suppose 3*v - 39 = k. Calculate the remainder when 78\/(((-9)\/(-2))\/3) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.1 + -22\nAnswer: 18.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.21474 - 0.21474. Let d = 352 + -351.793. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-372)\/(-837))\/((-4)\/(-15))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 153203 - 25?\nAnswer: 153156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a factor of 50192183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8315 = -49*b + 7120. What is the remainder when 633 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -341*j + 3 - 3 - 174*j + 2 as p + c*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 9*q + 1. Let s be k(-4). Suppose 0*i - 1280 = -s*i. Calculate the highest common factor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101304919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*w - 4, 2*w - 5 + 21 = -5*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 155232 divided by -924\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -481 + 484 + 4*a - a - a**2. Let r be d(3). Suppose 3*g = -0*g + r*h + 372, 5*g = 4*h + 622. What is the highest common divisor of 84 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26047 times 0.36\nAnswer: -9376.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 1 = 4*u + l, 4*l = -12. Let g(r) = -4 - 3 - 1 + r - u. Give g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*1459.\nAnswer: 72950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3 + 4362*u**2 + 4360*u = 0.\nAnswer: -2180, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 1. Let t = -0.295 + -0.005. What is the smallest value in t, 1\/14, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*d**2 + d**2 + 0*d**2 - 3*d**2 + (-2*d + 2*d - d)*(2*d + 0 + 0) + 4*d**2 - 2*d**2 - 3*d**2 + 1 + 2*d**2 - 1 - d**2 - 5*d**2 + 2*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7677757 centuries?\nAnswer: 921.33084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*2 - sqrt(200))\/sqrt(10))\/(sqrt(44)\/(sqrt(11)*2)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 4, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -3. What is the highest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyyytytytyttytyttty. Give prob of sequence yyty.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181532773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, -4, 0, 3, -19809, 0.3, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 1. Let v(m) = 9*m**2 + 5*m - 8. Let o(n) = 9*n**2 + 6*n - 7. Let l(w) = -3*o(w) + 2*v(w). Let c(h) = -5*i(h) + l(h). Factor c(b).\nAnswer: -4*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - t - 6*t**2 - 2*t. Let a(z) = 23*z**2 + 9*z. Let m(p) = 2*p**3 + 111*p**2 - 117*p - 3425. Let n be m(-56). What is n*j(k) - 2*a(k)?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2945, -2, -5\/21 in ascending order.\nAnswer: -2, -0.2945, -5\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145? (a) -0.3 (b) -1\/3 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20 + 27*q + 634*q**3 - 36 - 633*q**3 + 30*q**2. Let y be i(-29). Solve y*s - 4*s = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, j: 1, s: 7, z: 2}. Give prob of picking 2 s, 1 j, and 1 k.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -33. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -77786aa?\nAnswer: 77786ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 - 152*h**2 + 960*h = 0.\nAnswer: 0, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3579 = -77*d + 2039 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2010, 1875, 1668, 1395, 1062?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0157 + 0.9843. Which is the nearest to p? (a) -2\/5 (b) -2 (c) 6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + x)*(-6 + 0 - 2 + 0 + 2 + 0 + (-2 + 4 + 0)*(4 + 0 - 3) + 14 + 17 - 1)*(-3 + 2 - 1)*(-3*x - 2*x + 3*x).\nAnswer: -208*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 20*o\/7 - 32\/7.\nAnswer: -2*(o + 2)*(o + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)*d)\/(d\/(d\/(d*d**11)))*(d\/d**(-3)*d)**(3\/4) assuming d is positive.\nAnswer: d**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 24018, 4, -2 in descending order.\nAnswer: 24018, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734*o - 892847 = 697*o. What are the prime factors of o?\nAnswer: 59, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + 6937687.12.\nAnswer: 6937687.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*w + 24 = j - 186*w + 90*w, 17 = j - 5*w for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 - 2*q**2)*(0 + 2 - 5 + (1 + 2 - 1)*(2 + 1 - 4) + 0 - 3 + 1).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20428899 divided by -888213.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 12*s - 94*s + 30 as z + j*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -862*k**6\/3 - 3*k**2\/2 - 50*k + 907. What is the second derivative of v(r) wrt r?\nAnswer: -34480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41456 is divided by 5167.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/7 - 18*f**2\/7 + 464*f\/7 + 480\/7 = 0.\nAnswer: -20, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from djlldljlljljjlldlljd.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/6 + 12\/(-18). Let m(p) = 0*p**2 - p**3 + 2*p + 28*p**2 - 23*p**2 + 1. Calculate m(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -5d9c?\nAnswer: 5d9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131, -2, -135, -268, -401?\n\"Answer: -133*m + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**3 + 37*j**3 - 1 + 1 + 16*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6*t = 108. Let p = -14 + t. Suppose -p + 22 = 3*h. Let l(v) = 2*v - 9. Calculate l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*w - 6366 - 786 = 349*w. Suppose 0 = -0*k - 2*k - 30. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-585)\/(-350))\/(-39)*-3*3*(-14)\/(-36).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/104)\/((-9471)\/(-1232))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21778*j**4 - j**3 + 2*j**2 + 4029*j - 2?\nAnswer: 522672*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (3 + 6\/(-3))*48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16364932*0.4\nAnswer: 6545972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2628 and 302868?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let i = t - -4. Let v = i - 2. Is v at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 3744.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, -1086, -5227, -13690, -27915?\nAnswer: -49342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 1210*y = -4084 + 33884 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-552)\/(-76) - (-72)\/684.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:02 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/13 - 64*j**4\/13 + 38*j**3 + 288*j**2\/13 - 5472*j\/13 = 0. Calculate j.\nAnswer: -3, 0, 4, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 15*c - 17. Give x(18).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 47 = t, f - 12 + 99 = 2*t. Let h(b) = -t*b + 53*b - 24 + 24. Let i(x) be the third derivative of x**5\/60 + x**2. Determine h(i(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 17*s**2 + 6*s + 11. Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 33. Let a = -21.8 - v. Let r = 0.06 - 0.46. What is the second biggest value in 6, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 - 38. Let m = c - 72. Suppose -m = 4*k - 34. What is the second smallest value in 2, 6, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -1, -0.901, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*(x\/(x\/(x**(-2\/9)*x)))\/x*x*x**(-1\/12))**26 assuming x is positive.\nAnswer: x**(1729\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*i = 46, -i - 89 = -2*a - 4*i. Calculate the remainder when 68 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29413.06 litres?\nAnswer: 29413060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v. Let u(g) = -g**2 + 7*g. Let l(t) = -2*i(t) + 3*u(t). Let h(m) = m**2. Give h(l(k)).\nAnswer: 9*k**4 - 30*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32383.928299 + 32384. Round d to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9 - (-56)\/6. Let a be (-1 - -4) + w\/(-9). Solve -a*p - 4 = 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 15. Let w(x) = -15*x**2 + 6*x - 66. Let z(n) = n - 11. Let g(v) = w(v) - 6*z(v). Give g(j(h)).\nAnswer: -15*h**4 + 450*h**2 - 3375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/33)\/(2\/(-9)). Solve 2*i + z + 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 18*u**3 + 169*u**2 - 38*u - 6. Let w(c) = 16*c**3 + 142*c**2 - 37*c - 5. Determine -5*v(l) + 6*w(l).\nAnswer: 6*l**3 + 7*l**2 - 32*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i - 1\/120*i**6 + 15*i**2 + 1\/12*i**4 + 0 + 0*i**3 + 0*i**5. Let v be s(-2). Solve v = -2*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 42. Let d be 4 - (10\/10 + (y - -1)). Suppose q - 43 - 55 = -4*k, 58 = d*k + 5*q. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*y - 124. Suppose c - i = 34, -4*i + i = -5*c + 164. Suppose y*h = c*h. Solve h = -5*m + m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399577226 minus -98?\nAnswer: -1399577128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -43 (b) -9494 (c) 5 (d) -2\/17 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 222*b + 247. What is s(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3965 - 5770 = 188*x - 1275 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/((-4)\/12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 37. Let x be t(9). Let m be (x\/8 - 15\/60)*3. Let b be (-4)\/((15\/50)\/(m\/(-4))). Solve -b + 5 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 927\nAnswer: 92.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10761901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t*t*t)\/t)**(17\/3) assuming t is positive.\nAnswer: t**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2774268 and 848400.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -23.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2) + 0)*14. Let a = -3 - b. Calculate the remainder when 2\/a*76\/2 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -162333805096599 and -0.3.\nAnswer: -162333805096599.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*o - 3*w, -5*o - 3*w - 40 = 2*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from ttytytbyyby.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39057, -78132, -117211, -156294, -195381, -234472, -273567?\nAnswer: -312666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 6*k + 7. Let t be w(5). Suppose -5*o + 79 = -3*b, b = 4 - t. Let c(d) = o - 6*d**2 - 39 + 22. Let x(z) = -6*z. What is x(c(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 4*b**3 + 3505*b - 3498*b + 2*b**2 to the form l*b**3 + t + f*b + c*b**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.23455891 and 0.3.\nAnswer: -5.770367673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115 - 225653?\nAnswer: -225537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 65 - 44. Solve -21 = 4*j + 3*m, m + z = 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - w**3 - 2*w**2 + 6 - w**2 + 3*w - 1 in the form z*w**2 + f + g*w + j*w**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let z(a) = 6*a. Let v(m) = 44*u(m) - 6*z(m). Let k(x) = -x. What is k(v(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*i - 338 - 1030 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 482749 and 0.8.\nAnswer: 482749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1247*d**4*r + 12*d**2*r**2 - 41814*r**2 wrt d?\nAnswer: -4988*d**3*r + 24*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 676 and 434668.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 138780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28424 and 211208.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7376, 7367, 7336, 7271, 7160, 6991?\n\"Answer: -2*w**3 + w**2 + 2*w + 7375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(7\/2))\/(((z*z*z**0)\/z)\/z))\/(z**(-1)*z**2\/z) assuming z is positive.\nAnswer: z**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/34 + 524181\/119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 28 - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244 (base 5) in base 6?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1 + c - c + 3. What is l(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 11*t + 15. Let z be f(-11). Suppose 0 = -4*j + z - 3. Solve 0 = -2*u + 4*r, -3*u - j*r = -0*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, 40350, -2 in descending order.\nAnswer: 40350, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/155 and 74\/45.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -748*c**3 + 1510*c**3 + 211*c**5 - 758*c**3 + 2*c**5 - 2 + 2 - 1 - c**5 + 1 + (-1 + 1 - 2*c**3)*(-2 - c**2 + 2).\nAnswer: 214*c**5 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -43900*b**3 + 12*b**2 + 11*b + 2. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 6) to base 9.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -691 - -691.291. Let u = -1.339 - w. Let p = 5.6 + u. What is p rounded to 1 decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + -32 + 35.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose 4*a = 5*d - d + 36, -2*a - 4*d + 24 = i. Calculate the lowest common multiple of a and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 + 281. Let d = -129 + o. Let p be 3\/4 - 12\/12. What is the nearest to p in d, 7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -723, -1648, -2943, -4608, -6643?\nAnswer: -9048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7 = 1. Let y(a) be the third derivative of a**5\/30 + a**4\/6 - a**3\/6 - 5*a**2. Let b be y(i). Solve 3 - b = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 20 = -8*f. Suppose 4*y - 5*p = 456, 3*y = -y + f*p + 456. What is the remainder when y is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1325318 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 9*d + 4. Let h(q) = q**2 - 7*q + 6. Let m be h(7). Let w(c) = -c**3 - c**2 - 2*c - 4. What is the lowest common multiple of w(-3) and r(m)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177167\/20 + -8855. What is the common denominator of (-70)\/40 + 15\/(750\/40) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -836? (a) -2\/3 (b) -4\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 2*w + 1. Let i be g(1). Let t be (-2)\/4*0 - 0. Suppose t = -2*q + 24 - 0. Solve -q = 2*f - i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwn when four letters picked without replacement from {w: 5, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1) + (0 - -1) + (3 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 + 0.84. Sort -0.2, 0, x in descending order.\nAnswer: x, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04956 rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219*p*r - 32*p + 2*r + 2208 with respect to p.\nAnswer: -219*r - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/7 less than or equal to 13232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 2*b)*(3 - 5 + 0) + (-1 + 14*b - 31*b + 20*b)*(-23 - 1 - 2).\nAnswer: -76*b + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2954164 divided by -292.\nAnswer: 10117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3939*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (222\/(-74))\/(2\/(-6)). Let k(a) be the first derivative of h + 3\/2*a**4 - 16\/3*a**3 - 4*a + 7*a**2. Factor k(s).\nAnswer: 2*(s - 1)**2*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126143.6979 - 126150. Let f = x - -6.3. Round f to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2213 = -g, 2*z = -g - 2048 - 168. Round g to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18890*d**5 + 17548*d wrt d.\nAnswer: 377800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1261 and 2?\nAnswer: 1.8739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376.06 + -376. Let i = 2.9 + -3. Put i, q, 2 in descending order.\nAnswer: 2, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1530564 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + (-5 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 677*z + 1380. Let y be k(-2). Let f = -4 + 6. Suppose 40 = f*o - 16. Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - 2*a)*(0 - 1 + 2) - 2*a + a + 0*a + (1 - 4 - 1)*(-4*a - 3*a + 2*a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28942 - -28973. Solve 19*g - o + 145 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-2) - 6)*1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. Find b such that -4*b - b**2 - 4 + 5*b + 0 - h*b = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 4*i**2 - 4*i**2)*(-i**3 + i**3 + 2*i**3) + (0*i**2 + i**2 + 4*i**2)*(3*i**3 - i**3 + 7*i**3).\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13852*o**2 - 2. Let d be c(-3). Let m = -828897 - -1424227. Let q = d - m. Round q to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 49*r - 26*r - 29 - 73*r - 16. Let f(c) = c + 1. Let z(o) = 6*f(o) + q(o). Differentiate z(u) with respect to u.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -10*w - 3*z + 6835, w = -2*z + 1705. Suppose 0*l + 2*l - 1918 = 0. Suppose 6*j - l = w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let k be (-1 + 0 + 3)\/(-6 - -5). Let g be (10\/33)\/((-16)\/(-6) + k). Which is the smallest value? (a) -4 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v = 46*v - 240. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12853830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Let c(n) = x*n + 3*n - 1 - 7 - 2*n. What is c(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.15 (b) 3 (c) 4 (d) -1\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23671 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056678 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264614928 by 130288.\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -24. Solve -x + n = -4*x + 2*v, v = -5*x - 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79014?\nAnswer: 2, 3, 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002452458 to 6 decimal places.\nAnswer: 0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 1 + 33*a - 18*a - 13*a. Suppose -54*b = -69*b + 15. Give c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - p = 88. Solve u + 14 = 4*n, -1 = 5*n - 5*u - p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m + 3*h - 96 = 0, 6 = -3*m + 6*h + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*u + 114*u - 86*u**2 - 339*u + 112*u + 12.\nAnswer: -86*u**2 - 2*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49126285.\nAnswer: 5, 13, 755789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -17. Differentiate -y - 7 - x**3 - 4*x**3 - 2 wrt x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5177880 divided by -9.\nAnswer: 575320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 122740\/51*(-6)\/(-5). What are the prime factors of (-2)\/20 - r\/(-80)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1683*k**3 - 3831*k**3 - 4486*k**3 - 13288*k**3.\nAnswer: -23288*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t - 73 + 81\/2*t**2 + 47\/3*t**3. Find the second derivative of d(w) wrt w.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136447*x**2 - x**5 - 100 + 209297*x**2 + 1177*x**4 + 28 + 72 - 346920*x**3.\nAnswer: -x**2*(x - 588)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -18*k**2 - 2. Let s(z) = 28483*z - 56977*z + 28480*z. Give s(g(r)).\nAnswer: 252*r**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 4 = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1394 and -54\/205.\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1144, 1141, 1158, 1207, 1300, 1449, 1666?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1 - 5*p + 46*p**3 - 2*p**2 - 3*p + 2*p**2 + p**2 + 7*p. Let f(z) = z**2 + z - 1. Let r be f(-2). List the prime factors of d(r).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24)\/k**(-39) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - sqrt(133)*-2))\/sqrt(7) + 3)*3.\nAnswer: -6*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17131.150842 rounded to the nearest ten?\nAnswer: 17130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {c: 7, x: 4, u: 3, q: 2, y: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 - -2)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185293.\nAnswer: 3, 11, 66221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d - 97101*d**2 + 47*d - 27*d.\nAnswer: -97101*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 6, m: 2, r: 2, a: 1}. Give prob of sequence mfrm.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203301 (base 5) to base 3.\nAnswer: 100012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -9 + 0 - 11*-1. Let y = -906 - -910. Sort b, 2, y in increasing order.\nAnswer: 2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 156. Let z be g(22). Let b be ((-5500)\/(-33))\/(z\/(-9600)). Round b to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 86.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:20 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/(c*c*c**(-5)\/c)*c**(2\/9)\/(c*c**(-1)\/c*c))**(1\/14))**(-5) assuming c is positive.\nAnswer: c**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let r(y) = -11 - y + 11*y + 10*y. Let j be (-2)\/((-2 - 0)\/(-6)). Let c(s) = -5*s - s + 4 - s. Calculate j*r(d) - 17*c(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1207122*q**3 - 89*q**2 + 664*q.\nAnswer: 7242732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.497 and 2.\nAnswer: -0.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 2, t: 1, o: 4, m: 1, q: 1}. Give prob of sequence huqt.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -55603.845 to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11110*m**2 + 11110*m**2 + 4*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 1724600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 51 = 3*x + x, -2*j - 6 = 0. Let o be (-3)\/(-2 - 21\/(-6)). What is the common denominator of -51\/4 and (-100)\/8*o\/x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**1*u)**(-22))**(-2\/33))**41)**(-3\/11) assuming u is positive.\nAnswer: u**(-492\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10561, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:04 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/(-1 + 2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2 + sqrt(704) - sqrt(704)) + sqrt(704) + -1 + -2)**2 + -2.\nAnswer: -64*sqrt(11) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + (-3 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2579288 and 0.04.\nAnswer: 103171.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45736387 is divided by 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -33 + (1 - -4 - 4 - -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 6*x**2. Let w(d) = d**2. Give 6*w(u) + y(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43496903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-920)\/(-69))\/(-40))\/1*72.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251443 - 4109*c - 251443 to the form p + i*c and give i.\nAnswer: -4109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -464, -3172, -10476, -24674, -48064, -82944, -131612, -196366?\n\"Answer: -383*i**3 - 27*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64730617993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -57*n + 166. What are the prime factors of j(-21)?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321969646 divided by 94?\nAnswer: 3425209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -61*p**3 + p. Let g(v) = -v + 2. Let l be g(-2). Let b be (-12)\/2 - (-5)\/(l - 3). Determine t(b).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1)*h)**47)**(-23) assuming h is positive.\nAnswer: h**(-1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*p = 346*p - 1470. Calculate the highest common factor of 690 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82111456 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (20 - -4) - 11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 77 = -199. Which is the second smallest value? (a) 18 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 803*p**3 - 4*p**2 - 8*p + 11. Is t(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.78 + -8.68. Let u = -8 - n. Let p = 19 - 18. Are u and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(6\/17)\/d*d))**30\/(d\/(d**(-5\/4)\/d)*d**(-1\/4)) assuming d is positive.\nAnswer: d**(279\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(414\/(-6)) - (-4)\/6. Is p at most -3\/865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 119 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2089681, 2089683, 2089687, 2089693?\n\"Answer: v**2 - v + 2089681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -145015643?\nAnswer: 145015643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274167 and 11888?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6815*d**3*p + d*p**2 - 19*d*p + 66*p**2 - 3367 wrt d.\nAnswer: 20445*d**2*p + p**2 - 19*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2189\/4, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/7 - 71\/28. Let f(m) = -m**2 - m - 1. Let l be f(0). Let u = 1 - 0.7. Which is the nearest to k? (a) u (b) l (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31419073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*o + 39. Let r be (-9)\/o*(-32)\/(-6). Solve -5*h - 7 = r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.95389 years in months?\nAnswer: 59.44668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234607 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/112 and -53\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(21)\/sqrt(3))*6 + 6*4*1*sqrt(3).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-162)*(6 + -4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o**2 - 99*o + 6626. Let s(x) = -4*x**2 - x - 1. Let d(l) = f(l) - 5*s(l). Find the first derivative of d(a) wrt a.\nAnswer: -4*a - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2232*n + 2229*n = -2, 5*c - 4*n = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1106111564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*n - 4*y + 8, 5*n = -3*y + 34. Suppose 3*o - 2*o = 4*g, -n*g = o - 9. Let s(x) = 5*x**2 - 1. What are the prime factors of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1)*x)**(5\/11))**(-46))**10)**36 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31.92*-0.1\nAnswer: -3.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1390 and 74085610.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323780 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = 2*d - 7, 5*v = -4*d - 2. Suppose q - 16623 = 3*g - 49021, 4*g - 43204 = -2*q. Suppose v*b - g = -2*b. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 40. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13139 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {s: 1, w: 3, j: 3, r: 5, u: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1891638 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/209*(4\/(-4))\/(-1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -291291 at most as big as -291287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3058)\/1251 + 6*2\/108?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z*(z**(2\/3)*z*z)\/z*z*z)\/z)\/z)\/z*z)\/(z\/z**(1\/5)*z*z*z)*z**(-1\/4)\/z**4 assuming z is positive.\nAnswer: z**(-263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 0 + sqrt(468)) + -4 + -3.\nAnswer: -7 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 8)*(9*f - 75*f + 27*f)*(0 + 5 + 1).\nAnswer: -1638*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 5*k - 525. Let w(n) = -2*n**2 + n + 132. Determine 2*t(m) + 9*w(m).\nAnswer: -4*m**2 - m + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -78*h**3 - 752*h**2 + 7321*h - 5. Give j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (284 - 422) + 194 + 13?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let p = 1451 + -1454. Which is the closest to 0? (a) p (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 762.\nAnswer: -2286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/650 - ((-118)\/(-78) + 0\/(-2))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 78867*i\/4 - 9328529.\nAnswer: -(i + 476)*(i + 78391)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 0\/2 - (-4 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m + 30*m - 82*m + 27*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12*m**2 - 555*m + 18. Let j(y) = -19*y**2 - 832*y + 28. Calculate -8*c(v) + 5*j(v).\nAnswer: v**2 + 280*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, -3\/70.\nAnswer: -0.5, -3\/70, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.269 - -18.431. Let o = v + -18.3. Which is the nearest to 2? (a) o (b) 1\/6 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194 (base 16) to base 13.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-9)*-1*9\/6. Solve 4*j - 10 = -3*r, 4*j + 2 = -d*r + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53114 (base 7) to base 2.\nAnswer: 11001100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5044 - -2433. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1252\/12 - 1)*((-4980)\/10375)\/(2\/5)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*w + 380, 45 = 4*w + z - 256. Let k = w + -74. Sort 0, -58, k in decreasing order.\nAnswer: k, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022112010001 (base 3) in base 14?\nAnswer: -142b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.5 + -25. Let x = -5.43 + m. Let l = 0.07 - x. Which is the third biggest value? (a) 1 (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-8))\/((-6)\/(-16)). Suppose 2 = -2*z, 3*j - 7*z + 3*z = 19. Solve -j*b + m = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 12d38?\nAnswer: 12d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 567, 1931, 4589, 8973, 15515, 24647?\n\"Answer: 72*w**3 - w**2 + w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 + 5*k - 1 + k - 3*k**2 + 3. Let j be (1\/(-3))\/((-8)\/(-168)). Let y(v) = v**2 - 2*v. Let f be (-8)\/(-48)*-2*6. Determine f*s(g) + j*y(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2)*(-152)\/399*-7)\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 14*i + 17. Let o be x(-13). Let u be o*(-4 + 27\/6) - 4. Put -1, 19, u in increasing order.\nAnswer: u, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -396*r + 9116. Give z(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 - 4*r. Let p be k(4). Solve -t + 2*t - 3 = p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*q - 5*b**2 - 37*b*q**4 + 31*b - 49*q**3 - 44 with respect to q.\nAnswer: -b**2 - 148*b*q**3 - 147*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**3 + 2*g**2 - 6*g - 4. Let c be x(-4). Let d = 402 + c. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2*u. Let x(t) = -t**2 - 744*t. Calculate d(b) - x(b).\nAnswer: 2*b**2 + 742*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 - 992442*y**2 + 7939523*y - 11909280 = 0. What is y?\nAnswer: 2, 6, 3969760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 20. Let s = d - -13. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, 3, -72?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31431403 (base 5) to base 3.\nAnswer: 111102222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 75*x**3 - 8331*x**2 + 8916*x - 660 = 0?\nAnswer: 2\/25, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-35)\/(-245)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.87904643 + -3.879. Round o to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2 and 776\/(-160) + 1\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1283017\/28385 + -3\/5677. Let r = s - 45. Let x = -1105960 + 1105963. Which is the third smallest value? (a) -0.3 (b) x (c) r (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -77 (b) -2.31 (c) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70405.\nAnswer: 5, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 25*h - 3. List the prime factors of m(-12).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118698096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(104\/4)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50045049.\nAnswer: 3, 593, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -251056 (base 13) in base 16?\nAnswer: -d8b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by ((-13)\/(-11))\/(119\/1309).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/160 + 3*s**5\/80 - 10*s**2. Factor l(i).\nAnswer: 3*i**2*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 5*x - 7 + (-3 + 3 + 2)*(x + 0*x + x)*(3 - 1 + 0).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47097, -187381, -421183, -748497, -1169317, -1683637?\n\"Answer: y**3 - 46765*y**2 + 4*y - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -77 - 14. Let f(j) = 3*j**2 + j**3 + 1 - 5*j**2 + 13*j - 4*j**2. Is f(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/39975*22\/(-440)*15?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3749*r - 10 - 3749*r + 62*r**3 wrt r?\nAnswer: 186*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*z + 16*u - 14*u, 4*z + 10 = 2*u. Let d = -38 - -47. Suppose -39 + d = -5*s + 5*y, -2*y = 2*s + 4. Sort z, 1\/2, s in ascending order.\nAnswer: z, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214 divided by -14\nAnswer: -107\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -76. Suppose -5*q - 2*j + 6*j - 61 = 0, 3*q - 2*j = -35. Let b = -4 - q. Put -4, b, w in decreasing order.\nAnswer: b, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 51885493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -346.\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.067 in 0.03, 1\/5, -2\/11, 0, -251?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1606 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 3*p**2 + p**2 + (p + 1 - 1)*(-10 + 10 - p))*(4*p**3 + 3*p - 3*p).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11.7 times -296.6\nAnswer: -3470.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 - -0.0352701\nAnswer: -0.0137299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-27)\/21 - 83985\/(-57008)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) - (3 - 24). Let z be (-60)\/(-9)*a\/16. Is z greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:10 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31116265 + 15849996. Let v = h + 9916269. What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 35 + 40 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17138 and 5929748.\nAnswer: 5929748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 - 1688*t**4\/5 + 27324*t**3\/5 + 50366*t**2\/5 - 39991*t\/5 - 36006\/5 = 0. What is t?\nAnswer: -353, -2, -3\/5, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*j = -2*j - 2, -5*j - 8 = -3*j - 3 - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270062 and 10?\nAnswer: 1350310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -91, -89, -91, -97, -107, -121?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43082925.\nAnswer: 3, 5, 574439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-2)*2*(-6)\/462?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(132))\/sqrt(11))\/(sqrt(36)\/(sqrt(18)\/sqrt(3)) + sqrt(48)\/(sqrt(24)\/sqrt(3))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-2)\/(-6)). Suppose 2*h - 1 - 13 = 0. Suppose 3*t - h = -1. Solve t*j + 0 = -b - y, 0 = -b - j + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 4\/5 (c) 134428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)\/s**(-3\/4))**(25\/2)*(s*s\/s**(5\/4))\/s*s**(-5)*(s\/(s*s**(-1\/2)*s)*s)**(-19\/5) assuming s is positive.\nAnswer: s**(1801\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 670 (base 14) to base 11\nAnswer: a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 72*u**7\/7 - 5*u**4\/4 - 896*u**3\/3 + 2*u - 2745. Find the third derivative of t(f) wrt f.\nAnswer: 8640*f**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 143753847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1729\/6 and 289 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22426?\nAnswer: 2, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-2 + 3) + 4. Suppose 11 - 5 = k*x. Let y = -535.5 + 536. Which is the nearest to -4? (a) y (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 - -228. What is the smallest common multiple of b and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1177*z - 4 - 9 + 16.\nAnswer: 1177*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2*t*x - p**2*t + 16*p**2*x - 6*p*x + 974*t*x - 3*x wrt t.\nAnswer: -p**2*x - p**2 + 974*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 + 5 = 0. Let a = 450 - 234. Find the second derivative of -196*n**2 - 2*n + a*n**y + 3*n wrt n.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 827425662 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.136.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 618*k - 2325*k - 1 - 1 + 2 to the form t*k + p and give t.\nAnswer: -1707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Let b(j) = -4*j + h*j - j + 12 - j**3 + 9*j**2. Let n be b(9). What is the nearest to 1 in n, -5, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53584, 56564, 59544, 62524, 65504?\nAnswer: 68484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2128096 and -103\/34581560.\nAnswer: 138326240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3\/3 + 54044*b**2\/3 = 0.\nAnswer: -13511, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3104)\/(-2716))\/(24\/126).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let x be -46*-1*2\/4. Suppose f = x - i. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = 3*z - 9, -5*z = -3*y - 11. Solve d - z = -2*k, 4 = d + 3*k + 2*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2445371*o**2 + 1485496*o wrt o.\nAnswer: -4890742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 14 - 4. Suppose t + 3*t = 16, 2*t - r = 2*b. Solve 4*k = b + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 = -3*c - 128. Suppose 7*l = 2*l + 2*s + c, 0 = -s + 5. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/((-12)\/(-30)) - (1026 - 1003)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8586, 101, -37 in ascending order.\nAnswer: -8586, -37, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2848 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**5 + 0*q**5 + 3*q**5 + (1 - 3 + 1)*(-q**5 + 2*q**5 - 2*q**5) + 11*q**5 + 8*q**5 - 24*q**5)*(-1435 - 2246 - 287 + 589).\nAnswer: 6758*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -449*o**2 - 25*o + 25. Calculate n(1).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -33. Solve 0 = -6*u + t*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**4\/2 - 429*i**3\/4 + 900*i**2 - 1011*i - 744 = 0.\nAnswer: -1\/2, 2, 8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-105)*10*10\/(-1240)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 5337505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22605133 is divided by 142?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2. Let f(l) = 15342*l**2. Calculate f(p(v)).\nAnswer: 138078*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 5. Let h be x(-4). Which is smaller: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 1:52 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 140*j**3 + 3 - 1 - 2 to the form k*j**3 + a*j + f + t*j**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -12, -1, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5*(-34)\/20).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 317491298 divided by -5\nAnswer: -317491298\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1052 (base 10) to base 6.\nAnswer: -4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let j(v) = 210611*v**2. Calculate n(j(k)).\nAnswer: -88713986642*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020076271 rounded to 4 dps?\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*c**3 - 530*c**2 + 191*c**3 - 68*c**3 - 542*c**2 - 61*c**3 + 1072*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122133 - 2302?\nAnswer: -131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:38 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10234\/301*(-674)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 890996 + -1 + 10\/2. Suppose 2*w + y = 356400, 8*w = 3*w - y + m. What is w rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**3\/4 + 46776875*r**2\/4 - 11694215*r - 23388435 = 0.\nAnswer: -1, 2, 9355374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*f**2*s**3 + 205*f**2 + 30*f*s - 5227095*s**3 + 3*s wrt f?\nAnswer: -120*f*s**3 + 410*f + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063056 to the power of 1\/2, to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - i + 4*i)*(-23*i**2 + 19*i**2 + 9*i**2 - 2) in the form v + s*i**2 + n*i + g*i**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 139. Let b be f(33). What is the remainder when 18 is divided by (-11 - b) + (0 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*i + 39 - 98, 3*i - 29 = -t. Suppose -4*f + 4 = 5*d - t, 0 = f - 2*d + 3. Suppose 0 - 4\/9*l**2 + 0*l + 2\/3*l**f - 2\/9*l**4 = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + ((-4)\/(-6) - (-2)\/6). Let i be 2\/(s\/(-3)) + 11. Suppose 775 = -3*l + i*l. List the prime factors of l.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 10*k + 1. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-2))\/(26\/3068) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2852080305 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.0555616.\nAnswer: -0.0277808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j**3 + 6*j - 133 with respect to j.\nAnswer: -21*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = -17. Suppose 9099 = -3*y + r*w, 0*w = -5*y + w - 15145. Let v = y + 24257\/8. What is the common denominator of v and 49\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tytyytyyytyytytttytt. What is prob of picking 2 y and 2 t?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, 46, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5\/6))**34*n**37*n*n*n**(-6\/19))**23 assuming n is positive.\nAnswer: n**(13570\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (-3 + (sqrt(1100)*1 - sqrt(1100)) + sqrt(1100))**2) + 0.\nAnswer: -1109 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/2 - 1744*z**2 - 6970*z - 6968 = 0. What is z?\nAnswer: -3484, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 847360841?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 129856.5\nAnswer: 103885.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and -7\/975?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w, 4*u - 3*w = 349 - 61. What is the greatest common factor of 54 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-10))\/((530\/(-318))\/(175\/(-14)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*c + 16, -4*c = -3*w + 8*w - 21. Suppose 0 = 5*x + 4*x - 36. Let q be 70\/8 - (27\/x + -7). Solve 0 = c*d - y + 10 + q, -d = 2*y + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a**2 - 21*a - 47. Give c(-7).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213823701.0000204 - -213823557. Let b = g + 144. Round b to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -4. Let q = l + 14. Let k = q + 27. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 12 = 0. Suppose -s + 4*s + 12 = 0, 0 = -3*f - q*s + 29. Solve 3*x = -2*x - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3534029017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 + 33*r**2 + 191*r - 225 = 0?\nAnswer: -25, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.85902 hours in minutes?\nAnswer: 5151.5412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304*x**3 - 259*x**2 + 357*x**3 - 880*x**3 + 299*x**3 wrt x?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-70))\/((-4)\/7)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 68 = 3*r - 75, r - 69 = 5*o. Let c = 90 - r. Let p(j) = j + 22. Calculate the remainder when c is divided by p(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/5 - 19\/5. Let q = 2\/42329 - -39662263\/211645. Let f = 188 - q. Which is the second smallest value? (a) p (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163827995\/528 + -310280. What is the common denominator of t and 149\/480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + l)*(-1 - 1 + 4) + l - 3*l + l + 7909*l - 3384*l + 447*l.\nAnswer: 4969*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5476*f**4 + 2270320*f**3 + 254861368*f**2 + 4051784880*f + 17441428356 = 0 for f.\nAnswer: -7337\/37, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362 + 3?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t - 8. Suppose 35 = -3*a + 47. Find the third derivative of 126 - 12*r**a - 126 + t*r**2 wrt r.\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498940 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert e1 (base 15) to base 11.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -825\/8 + 103. Let a = l + -1\/8. Let h be 2\/6 + 4\/6. What is the closest to h in 0.5, 2\/11, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -1 + -3)\/(-1). Suppose l = -b + 326 + 11. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -0*k + 3*q - 10, 40*q - 44*q + 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 29517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 276044 (base 8) in base 15?\nAnswer: 1dc7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -98*s**3 + 4*s**2 + 38*s + 34. Let c be w(-1). Do c and 99 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, h: 4, l: 1, t: 1}. Give prob of sequence htl.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.0894 - -4.7894. Sort -1.2, -0.1, 5, u, 0.4 in descending order.\nAnswer: 5, u, 0.4, -0.1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*g + 4*g + 3772 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-28)\/60. Let n be ((-1)\/10)\/(2\/(-25)). Let g be (2\/10)\/((-2)\/4). Which is the smallest value? (a) p (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3071, 3069, 3065, 3059, 3051, 3041?\n\"Answer: -h**2 + h + 3071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 3233932*y - 3233936.\nAnswer: 4*(y - 1)*(y + 808484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = -c. Suppose 0 = 5*v - 3*f - 81, 3*v - v = c*f + 38. Calculate the greatest common factor of v and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 50 + 13 + 8 + 10 + 12. Let s(b) = b**2 + 6*b + 5. Let r be s(-6). Suppose r*g + 18 = 43. What is u(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - l + 2)*(-101*l**2 - 15*l**2 - 13*l**2).\nAnswer: 129*l**3 - 258*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -643*j - 672*j - 1617*j - 1340*j as a*j + b and give a.\nAnswer: -4272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02239 and -2393786.\nAnswer: -2393785.97761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a - 10. Let y be 3\/(-3) - 6\/6. Let m be v(y). Solve -m*c = -2*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 27.5. Let p = -109 + 641\/6. Sort -1, p, j in descending order.\nAnswer: j, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*x + 4*p, p + 92 = -5*x + 263. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - -0.07. Let h = -0.05 + y. Let m = -0.6199957 + h. Round m to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203 + 210. Suppose -3*h + 2*s + 27 = 0, -k = 4*h - s - 38. Sort -5, -3, h in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + 3*d + 5. Let m(x) = -6*x**2 - 4*x - 7. What is 5*m(q) + 7*o(q)?\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g**2 - 678*g + 2848. Calculate j(4).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4264, 8525, 12784, 17041, 21296, 25549, 29800?\n\"Answer: -b**2 + 4264*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:17 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 25531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*o - 34 = 0, 0 = 5*v - v + 5*o - 42. Suppose -12*b = -8*b - v. Solve 0 = 2*l - 4*l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/33, -0.4, 1, -0.2388, -3\/2, 14, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -17 in decreasing order.\nAnswer: 5, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 9. Suppose -32 + 16 = -4*r. Calculate the remainder when f is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5040660.801505 - 5040610. Let v = -50.8 + j. What is v rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 - 0.04. Let w = u + 0.2. Which is the nearest to w? (a) 1 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from xxjjhzxxsz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409490692.\nAnswer: 2, 13, 37, 331, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*x - 21. Let m(i) be the third derivative of 0*i + 1\/15*i**5 + 0 - i**2 + 1\/6*i**x + 1\/6*i**4. Let m(w) = 0. Calculate w.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 28 = -25*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 7*w**2 - 66*w + 435. Let b be f(6). Factor 56\/11*s + 108\/11*s**2 + 10\/11*s**4 - 16\/11 + 58\/11*s**b.\nAnswer: 2*(s + 2)**3*(5*s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/3 - 262\/(-786). Let l be (-4)\/((0 - 1)*1). Solve -i*s - l = -7*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:19 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0325 and -27688?\nAnswer: 899.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**3 + 5*h**2 + 6*h. Let y(b) = b**3 + b**2 - b. Let n(z) = 2*z**3 + 2*z**2 - 4*z. Let a(o) = n(o) - 3*y(o). What is -5*a(f) - r(f)?\nAnswer: -3*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/(-4))\/((-4)\/(-56)*7). Let k = u - -154. What is the highest common divisor of 20 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27892537 + 35*p + 27892537.\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -5*r - 6*b, -3*r + 160*b = 163*b + 39 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 26*s**2 - 30*s - 32. Calculate r(-27).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5904094 to the nearest integer?\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -126, -212, -332, -486, -674, -896?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/2 - 2062731*l**3\/2 - 1031373*l**2 + 4125462*l + 4125468 = 0.\nAnswer: -2, -1, 2, 687578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4*p**4 - p**3\/3 + 2. Is l(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352859311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*z + 178, 2*z - 138 = -4*s - 22. Suppose 8*m - 11*m + z = 0. What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 13*a**2 + 2*a - 3. Let n be u(7). Let p = -25 + n. Let j = 82 + p. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 3*a**5\/20 + 41*a**3\/6 - 229*a**2\/2 + 25*a. Differentiate s(i) wrt i.\nAnswer: 9*i**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*-3 + -2. Let k = s + 3. Let d(p) = -6*p**3 + 3*p**2 - 6. Let t(y) = -y**3 - y - 1. Let o(m) = k*d(m) + 3*t(m). Find v such that o(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17946 minus 0.1?\nAnswer: 17945.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 + 2914*h**2 + 1481*h - 16757. Calculate a(729).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:46 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5253027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 9. Suppose -t*w + w = -125. Suppose 0*p + w = 5*p. Solve g = p*u - 10, 5*u - 7 = 4*g + 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**3 + 4*k**2 + 3*k - 9. Does 14 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 3. Let t be u(4). Suppose 0 = -4*g + t*g. Let k(y) = y. Let z(c) = 5*c. Let j(p) = -6*k(p) + z(p). Give j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 9*b**2 + 16*b + 12. Suppose 2*w - 18 = -w. Let k be n(w). Suppose k = -2*m + 32 + 60. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.318916 nanometers in meters?\nAnswer: 0.000000004318916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3 + 0*f + 3*f - 2*f**5 + (5*f**3 - 4*f**3 - 3*f**3)*(f + f**2 - f) - f**5 + 3*f - 3*f.\nAnswer: -5*f**5 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 165*i + 478. List the prime factors of j(15).\nAnswer: 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889700 divided by 665.\nAnswer: -25420\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 0.32\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, -34, 74, 266, 566, 998, 1586?\n\"Answer: 4*u**3 + 6*u**2 + 2*u - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -47, 0, 4, 387, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15233*15\nAnswer: 228495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2456?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 2242353.6.\nAnswer: 2242351.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8379*f**2 + 4616*f**2 + 1870*f**2 + 1887*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (36838880\/(-1068))\/(-796)*(2\/8)\/(2\/12)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*w + 9 = 0, 2*m + 3*w - 4 = 3. Solve -6*s = -m*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 40. Solve s*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0 + 0)*(4408 + 5256 + 35981 + 6865).\nAnswer: 52510*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11536 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: Collect the terms in 534*p + 16 - 16 - 518*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*h - 299*h - 106*h + 35*h.\nAnswer: -561*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.2 or -8.2785?\nAnswer: -8.2785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*v + 10 = 2*u, -5*v + 9 = -3*u. Let f be (-4)\/(u - (2 - -1)). Suppose -f*c + 3 = -5. Solve c*d + 3 = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.665, 7128, -0.4, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91172073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7*18\/(-3)*(-22)\/924)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 826\/108619 - (-359)\/(-12624).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6399891 and 66132207.\nAnswer: 198396621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*w - 0*w + 202, 4*t + 210 = -w. Let y be (-2)\/5 - t\/5. What is the units digit of 15\/y*(-40)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36905 and 9455.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 336365162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 904 divided by 691\nAnswer: 904\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42230.\nAnswer: 2, 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 17*f - 102 = 0, -2*i - 302329 + 302255 = -3*f for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258.205 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -14 - (20 - (-32 - -43)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6030114580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4*p**2 + 2*p**2 + 0 + 3 + 3*p. Let s(l) = -l**2 + 4*l + 3. Give -3*s(g) + 4*w(g).\nAnswer: -g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + (-66)\/(-12))*6\/9. Which is the third biggest value? (a) q (b) -1.4 (c) -0.2 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*w - 4*p, 36*p - 32*p - 11 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(15) + sqrt(135)\/(sqrt(9) + sqrt(9)*1)))\/((((1*sqrt(225))\/sqrt(9) - sqrt(25)) + sqrt(25))\/sqrt(5)))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 1. Let a(p) be the second derivative of 7*p**3\/6 - 2*p**2 + 35743*p. Suppose -u + 31 = 3*i - 0*u, -i + 4*u - 7 = 0. Determine i*k(w) - 2*a(w).\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*x = -3*z + 263*x + 904, 0 = 5*z + x - 1448. Calculate the lowest common multiple of z and 1696.\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -161, -359, -647, -1031, -1517, -2111?\nAnswer: -2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.209 - 91.709. Let f = -91 - l. What is the closest to 1 in 2\/7, f, -44?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (539\/462)\/(525\/10)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 42865724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10*(1255 - -4 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -79. What is the remainder when 27 is divided by (0 - 6\/9) + 100\/u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48591)\/(-21596)*(-64)\/6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c - 6. Calculate the lowest common multiple of 1 and b(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 4*x**2 + x + 2. Let i be f(4). Find the third derivative of w**i - 8*w**6 + 5*w**2 + 5*w**6 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -446.26 to the nearest integer.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2533828 and -4?\nAnswer: 1.0135312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvdp when four letters picked without replacement from {x: 3, p: 1, d: 1, u: 1, v: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.333 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.39829kg to micrograms.\nAnswer: 66398290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12579218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*d + 14 = 4*y, -30 = -5*y - 5*d. Suppose 0 = b - a - 32, -50 = -y*b + 3*b - 5*a. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 8) in base 11?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1416 and 1021164?\nAnswer: 120497352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2597, 15, 3\/4, -6.\nAnswer: -6, 3\/4, 3.2597, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051830701.\nAnswer: 3, 271, 841259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1648.09 to the nearest 10.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 345, 1196, 2859, 5604, 9701, 15420, 23031?\n\"Answer: 45*v**3 + v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:51 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**8\/448 - 17*h**7\/40 - 1857*h**6\/80 - 2581*h**5\/20 - 841*h**4\/4 - 10*h**2 - 42*h + 5. Let f(y) = 0. What is y?\nAnswer: -58, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -9. Suppose 0 = -2*h - 5*g - u, 0 - 24 = -2*h + 5*g. Solve h*s + 4 = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703889, -703986, -704083, -704180, -704277?\nAnswer: -704374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3)*-2*1\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0149 + -5.0149. Let u = 1.7 - 2. Which is the closest to -2? (a) u (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277906.4mm in meters?\nAnswer: 277.9064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42950.0631 and 0.23.\nAnswer: 42950.2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-840)*-25)\/((-28)\/126).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 4*j - 1. Suppose z + 5 = -0*z. Calculate g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o + 40. Let y = 16 + -35. Is r(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + f = -4, 2*f - 16 = -5*n + n. What is the second derivative of -3 - n*g**3 + 11 + 2*g - 8 wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.3928928 + 65?\nAnswer: 34.6071072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1059 - 1023. Calculate the remainder when y is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1323 (b) 0.01 (c) 150 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Suppose 8*x - 3*x = 0. Suppose s = -4*h + 9, 7 = -x*s - s + 4*h. Put d, s, -4 in decreasing order.\nAnswer: s, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -991*p**3 + p**2 + 13*p + 12. What is the remainder when j(-1) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 235*l + 3952. Determine y(-17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, s: 4, i: 5, o: 1}. What is prob of picking 1 u and 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1669 (base 12) in base 10?\nAnswer: -2673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*s - 163, 28*s = 27*s - 1. What is the highest common factor of w and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 93. Let g(c) = 14*c + 189. Determine 6*g(j) + 13*u(j).\nAnswer: 6*j - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 101\/2488, 4\/5, -3, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 21. Suppose -h*n - 2*n = -5*n. Solve n = -o - 0*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963838 is divided by 740958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-4)\/(-8)*2. Suppose n - 3*n = a - w, -a = -2*n. Sort n, 3, -4 in descending order.\nAnswer: 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 86*v**3 - 3*v**2 - 292. Let z(s) = -85*s**3 + 4*s**2 + 289. Let w(t) = -4*f(t) - 3*z(t). What is the first derivative of w(c) wrt c?\nAnswer: -267*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 13.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11560849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (80\/(-36) - -2) + 29\/9. Let z(l) = -12*l - 1 + 25*l - 15*l - 2*l**3. Let m(w) = -3*w**3 - 4*w - 3. Let c(j) = 3*m(j) - 5*z(j). Give c(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/(24\/9)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = -12*a - 270. Let i(c) = -c**3 + 6*c**2 + 4*c + 14. Is i(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23200013 (base 4) in base 13?\nAnswer: -1859c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 2221, 3471, 4719, 5965?\nAnswer: 7209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 20*d + 1314. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 30. Suppose 5*i - 3*k = 76, -8 = 6*k - 2*k. Let h be z(i). Solve h - 4 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*k**3*l**3*p - 5*k**3*l**3 + k**3*p**2 + 3*k**2*l**2*p + 2*k**2*p**2 + 3*k*l**3*p + 17*k*l**2*p**2 wrt k.\nAnswer: 144*l**3*p - 30*l**3 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.1 less than 0.0546548?\nAnswer: 18.1546548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-47 - (1 - 11)) + 12) - 41.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 59 = -9*m. Which is the biggest value? (a) 0 (b) m (c) 0.4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) -7 (c) 0 (d) -0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -42*n - 14. Let g(w) = -w - 2. Let k(z) = 6*g(z) - o(z). Calculate the remainder when 75 is divided by k(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/44)\/l)\/(l**(38\/3)\/l)*(l\/(l\/((l**(-6\/5)\/l)\/l)))\/l*(l\/(l\/l**(7\/2))*l)\/l assuming l is positive.\nAnswer: l**(-8807\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 941*a + 32*a**2 - 941*a + 4*a**3 in the form j*a + z*a**2 + x + i*a**3 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 134, 0, -11, -1, 5, 4 in ascending order.\nAnswer: -11, -1, 0, 4, 5, 6, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139698683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -374*m**2 + 0*m + 561*m**2 + m to the form t*m + d + c*m**2 and give c.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1000599124 to 5 decimal places.\nAnswer: 0.10006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58\/15 - 11\/3. Which is greater: s or -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -3. Let j = 25 + i. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24732 at most 7939132\/321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 76 - 20 = 0. Suppose 6*i + i - s = 0. Suppose 0 = -q - i*q + 1233. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7009 + -6750. Let y(u) = -5*u - 21. What is the remainder when r is divided by y(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.8 (b) -0.5 (c) -1 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1441579\/3149063 + -3\/88706. Calculate the common denominator of -15\/22 and b.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/14)*i*i**(1\/7) assuming i is positive.\nAnswer: i**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3\/2, 4495?\nAnswer: 4495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - 36. Suppose -4*v = 3*q - 245, v + 4*q = -0*v + c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257494 is divided by 16985?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is e0d4a (base 16) in base 2?\nAnswer: 11100000110101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138276 + -89106. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -3*a - a**3 - 3\/2*a**2 + 0 - 1\/4*a**4. Let c(r) = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffnfnnfununfff. Give prob of picking 1 u and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38927622 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*q - 465. Let b = q - 155. Put 1, b, -0.8 in descending order.\nAnswer: 1, -0.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, u: 6, b: 2}. What is prob of sequence tu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = c + 54. Let o be (-5)\/3 - 3\/c. Let n = o + 5. Solve n*l - 2 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-92))\/(2\/1). Let d = 63\/92 - c. Let j = d - 17\/12. Is -1 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9727 and -71?\nAnswer: 690617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44640 and 12.4.\nAnswer: -553536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636902032?\nAnswer: 2, 13, 271, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3382 + 16338. Is t a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+150082.071846\nAnswer: 150080.071846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0 + (-42 - 9 - 4)*(-2 - 1 + 0))*(2 - 2*k**2 - 2) as s + h*k**2 + x*k and give h.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7536726 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -6. Let x = 12 + f. Let i = 9.5 + x. Which is the third smallest value? (a) -0.5 (b) 2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26320, 25971, 25400, 24613, 23616, 22415, 21016?\n\"Answer: w**3 - 117*w**2 - 5*w + 26441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 209*x + 2735. Let h be r(-13). Let m be 4\/12 - 58\/(-6). Let f(v) = -v + 12. Let u be f(m). What is the highest common factor of h and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68463398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 != 6486\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 4, -1.6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, 114113 in decreasing order.\nAnswer: 114113, 5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 321\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*p + 6*v, -18*p - 8 = -23*p + 3*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z**2 - 125*z**2 + 3 - z**3 - 42*z**2 + 171*z**2 in the form w*z**3 + c*z**2 + q*z + u and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*s - 1424*s - 166*s)*(2*s**3 - 4*s**2 + 4*s**2).\nAnswer: -3362*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1516, 1566, 1652, 1774, 1932?\nAnswer: 2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6377\/17 + -375. Suppose 4*h + 2*a - 720 = 0, -h + 180 = -4*a + 5*a. Let s be (10\/h)\/((-1)\/8). Sort -1\/3, f, s in decreasing order.\nAnswer: f, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftxbxbhhhbib. What is prob of sequence xfi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a\/(a\/(a\/a**12*a)*a)*a*a)\/a)\/(a**(2\/23)*a*a)*(a**(-2\/5))**(-2\/11))**(-8) assuming a is positive.\nAnswer: a**(91224\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342321243 (base 5) in base 12?\nAnswer: 11b9785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 45*i**2 - 9*i + 116. Give g(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -335824.49965?\nAnswer: 335824.59965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - sqrt(99)*2)*5 + sqrt(99) - sqrt(99)) + -5*-2*sqrt(99))\/((sqrt(900) - (2*sqrt(900)*4 + sqrt(900))) + sqrt(900)).\nAnswer: -3*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 - 218*p + 66. Calculate h(-18).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -57*t**7\/70 - 19*t**3\/6 - 185*t**2\/2 + 3*t. Let a(k) be the first derivative of i(k). What is the derivative of a(x) wrt x?\nAnswer: -684*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 972\/5184*(-16)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4) + (-132)\/48. Let m(z) = -5*z - 3. Is m(h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/90 - 2\/45. Let y(p) be the third derivative of -x*p**6 - p**2 + 0*p + 1\/3*p**3 + 0 + 1\/6*p**4 - 1\/105*p**7 + 0*p**5. Factor y(d).\nAnswer: -2*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 42*i = -579*i + 4399 - 24163 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 3. Let p be i(-3). Suppose c - 127 = -p*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -425*b + 3015. Let d be v(7). Let g be (-2 - -7)*(3 + -2). What is the highest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-23*63\/(-7245).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkekklkdkeld. Give prob of sequence eklk.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175261714*a**2*r - 32131*a*r + 15*a - 7*r + 2 wrt a.\nAnswer: -350523428*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10220002101020220?\nAnswer: 10220002101020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13907 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/54 - 2*w**3\/27 - 4*w. Factor t(h).\nAnswer: -2*h*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1 - 4*l + 0 - 6*l + 5*l. Let x(y) = -27*y - 5. Let a(h) = 11*q(h) - 2*x(h). Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1.29064 in increasing order.\nAnswer: -3, -1, 1.29064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1179069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0 - 6*c - 3\/2*c**2 + 1\/6*c**3 + 1\/12*c**4. Determine o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*w**2*w))\/w))**(38\/7)*(w*w\/(w*w**5\/w)*w)\/(w\/(w**(-3\/5)\/w))*w**(-2)*w**(-1)*w*w**(1\/5)\/w**(1\/3) assuming w is positive.\nAnswer: w**(2143\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4897055 or 4897056?\nAnswer: 4897055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 13) to base 10.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/40 + m**4\/8 - m**3\/6 - 21*m. Find b such that z(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252352, 252341, 252328, 252313, 252296?\nAnswer: 252277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + -4*(-1 + sqrt(27))))**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + 35. Let d be 1085\/h - 4\/18. Solve -4*w + 4 + d = a, -5*a - 15 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 292, 304, 306, 298, 280?\n\"Answer: -5*z**2 + 27*z + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0427 times 1.83\nAnswer: 0.078141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 2*y**2 + 3 - y**2 + 0*y**2 as a + d*y + x*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1168829865 minus -0.05?\nAnswer: -1168829864.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 2*s)*(1 - 6 - 2)*(-3 + 3 - 3)*(7 + 0 - 4)*(-s + 2*s**2 + s).\nAnswer: 378*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**2 + 0*j**3 + 1\/5*j**5 + 0*j**4 + 0*j - 1\/2*j**6 + 49. Find i such that z(i) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 50. Suppose -y*d + 198 = i, -3*i = -3*d + 171 - 15. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(180) + -1 + -2 - sqrt(180)) + sqrt(180) - (sqrt(180) - (2 + sqrt(180))*6)**2) + 2 + -4 + (sqrt(180) - (sqrt(180) + -2)**2) + 3.\nAnswer: -28065 - 4254*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 257382 and 22752.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 p when three letters picked without replacement from {a: 10, p: 4, e: 1, o: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let y(k) = k**2 - 6*k + 14. Let u(d) = 23*d - 1. Let s be u(0). Calculate s*y(j) - 6*h(j).\nAnswer: -j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02425 + 6.02425. Which is the closest to v? (a) 2 (b) 2\/5 (c) 57 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*t - 5 = 0, 43*k - 5*t + 19 = 44*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 + 3*p**2 - 6*p + 3. Let a(j) = 6*j**3 - 4*j**2 + 7*j - 4. What is 3*a(w) + 4*s(w)?\nAnswer: -2*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-21))\/(8 + 66\/(-7))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 2*b - 5*b**3 + 42 + 0*b**2 - 1\/6*b**4. Determine j so that x(j) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let k(z) = 36732*z. Determine k(d(l)).\nAnswer: -36732*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 24 = -3*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(12) - sqrt(3))*6 + -2*(sqrt(3) + 1 + sqrt(300)))**2.\nAnswer: -56*sqrt(3) + 591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*v - 3. Let k = -32 + 61. Suppose 0 = -5*j - k + 154. Calculate the remainder when j is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -10, -33, -84, -175, -318, -525, -808?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rryy when four letters picked without replacement from {y: 11, r: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 11. What is a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-271)\/7 + ((60800\/280)\/38 - 6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.6 - -28.6. What is the fourth smallest value in -0.5, 3\/7, f, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 17, -30, -1\/5, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47383 or -47398?\nAnswer: -47398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3*w = a - 16, -2*a = -4*w - 4. Let z be 58\/4 + a\/(-4). Suppose 0*d + 2*d = -3*f + 62, f - 5*d = z. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228886677 to the nearest integer?\nAnswer: 15129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9592*-0.013\nAnswer: -124.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.64 + -8.58. Let q = -1.16 + n. Let p = 0.5 + q. Round p to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4 - 7. Suppose -z*d - 5*d + 336 = 0. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 3*r**3 - 7*r**3 + 16*r**3 - 7*r**3 + r**3 + (4*r**2 - 2*r**2 - r**2)*(3*r + r - 2*r) in the form n + i*r**2 + c*r + d*r**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/5 - 48804\/(-16260). Let l = 544\/1355 - z. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a = -34*a - 35*a - 65*a + 2160 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. Suppose 0*t + 185 = w*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3 - 2. Let n(v) = 32*v**2 + 43*v**2 - 105*v**2 + 41*v**2. Determine n(y(f)).\nAnswer: 99*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(4\/25)*(p**1)**(14\/3) assuming p is positive.\nAnswer: p**(362\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -24388, 0.58, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2\/4 - 48825*z\/4 - 48813 = 0.\nAnswer: -16271, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -22. Let j(o) = -g*o + 35*o - 15*o. What is the tens digit of j(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 9*b - 8. Determine f(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114541 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 15 + (1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13237, 9989, 4573, -3011, -12763?\nAnswer: -24683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106717596 - -3?\nAnswer: 106717599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*o - 6. Let y be ((-1)\/3)\/((-2)\/36). Let d(l) = -4 + y*l + 0 - 7*l. Let f(r) = -r - 1. What is o*f(p) + d(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205172957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*k + 7 = 0, 3*f + 0*k - 2*k + 14 = 0. What are the prime factors of f\/(3\/(-6)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*2\/4*(-1)\/(-4). Suppose -7*s + 11*s - 24 = f. Let o(x) = 53*x - 20. Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 552763913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + f. Let a(r) = 3*r**3 - 6*r. What is a(v) + 6*i(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/6*(-4 + 3). Let f = 11 - q. Is f equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -3, -14, -31, -54, -83?\n\"Answer: -3*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 22*m - 19. Let r be y(-21). What is the second derivative of -6*u**2 + 132*u - 14*u + 32*u + 4*u**3 - r*u**3 wrt u?\nAnswer: 12*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from zeopgzjp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 + 0?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2 - 3, -x = -k - 15. Let q be 6\/(-7)*70\/k. Let a be (-10 + 13)*8\/q. Calculate the highest common divisor of a and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-10)*(-19)\/(76\/8). Let n = 0.024 - 1.024. Sort n, l, 1\/4.\nAnswer: n, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449264, 898444, 1347624, 1796804?\nAnswer: 2245984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -8\/7, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5286.88 less than -424635937?\nAnswer: -424630650.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.592264 + 1093000.32.\nAnswer: 1092993.727736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 9*m + 12. Suppose -2*x - 5*d + 13 = -x, 0 = 4*x - d - 31. Let h be s(x). Differentiate -4 + 3*o**4 + 2 - 4*o**h with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 18*y + 250. Let g(a) = -a - 11. Calculate g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*l - 483*l = -360 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134051857 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 848 = -2*f, 3*r - f - f - 638 = 0. Suppose 4*l - r = 182. What is the smallest common multiple of l and 18?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30076, 60150, 90224?\n\"Answer: 30074*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 64.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292704 = 12*v + 133296. Round v to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1. Let y = 126 + -214. Let f(h) = -40*h + 44. Let g(d) = y*k(d) + 2*f(d). Let u(o) be the first derivative of -o**3\/3 - 47. Calculate u(g(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 5. Suppose 2 - 7 = 2*t - u, -4*t - u - 19 = 0. Calculate j(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*56\/(-112)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-2)\/(14\/(-3))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -286, -355, -434, -529, -646, -791?\n\"Answer: -c**3 + c**2 - 65*c - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/(d\/d**(-1\/5))))\/d**(2\/9))**28)**(-1\/3) assuming d is positive.\nAnswer: d**(-2492\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 899 - -209?\nAnswer: aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 1. Let h(b) = 9*b**3 + 15*b**2 - 6*b - 12. Let g(m) = -h(m) - 12*u(m). Factor g(z).\nAnswer: -3*z*(z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39323677727 and -0.31.\nAnswer: -39323677727.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 141.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 21 - 4*q - 10 - 4*q**2 in the form z*q + l + p*q**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23410*y**4 + 60*y**3 + 11480155*y**2 wrt y?\nAnswer: -561840*y + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 731 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2350\/7 or -337?\nAnswer: -2350\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-19 - -3) - (-1 + -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfdfugfdgg. Give prob of picking 1 g and 2 f.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)**(-1\/2))**(-45) assuming u is positive.\nAnswer: u**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:00 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(1\/2). List the prime factors of 27 + (-2 - r) + -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56252 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - a - 3, 4*x - 28*a = -30*a + 4. Which is smaller: -3\/9299 or x?\nAnswer: -3\/9299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78.57072 - 0.08928. Let h = 85.739 + n. Let j = 7 - h. What is j rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:19 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 739 + -5945\/8. Let v = -384658\/11 + 34972. Find the common denominator of f and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -163. Let p(n) = 10*n**4 - 10*n**3 - 55*n**2 + 10*n. Let g(j) = j**4 - j**3 - 5*j**2 + j. Let x(f) = i*g(f) + 4*p(f). Suppose x(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -32 + 2 + 6 + (-44 - -48)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 3*f + 16. Let y be -3 + 0 - 4\/4. What is the tens digit of p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 + 25554563?\nAnswer: 25554655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665128 to the power of 1\/2, to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50379063 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/154 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -25*j + 6. What are the prime factors of u(-8)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164, 158, 164, 188, 236, 314?\n\"Answer: t**3 - 13*t + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332.685ml to litres.\nAnswer: 0.332685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 8}. What is prob of sequence cvcc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 146*r**2 - 2*r + 5. Let d = -47 - -49. Is 15 a factor of b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 234.3709 + -287.22.\nAnswer: -52.8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 24 (c) -0.5 (d) 0.21 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a year in months?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 14\/15*n**4 - 1 + 3\/50*n**6 - 1\/210*n**7 - 47*n + 8\/5*n**2 - 8\/5*n**3 - 8\/25*n**5. Factor y(a).\nAnswer: -(a - 2)**4*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-1)*a))\/(a\/((a*(a\/((a**(2\/11)\/a)\/a))\/a)\/a)*a))\/(a*a**(-3\/8)*a**3))\/(a**(-1\/11)\/a*a**13)**29 assuming a is positive.\nAnswer: a**(-30639\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -292*k**2 + 5*k - 12. Let j(o) = -292*o**2 + 3*o - 9. Calculate 3*j(i) - 2*x(i).\nAnswer: -292*i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2000.57864\nAnswer: -6001.73592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*w**3 - 445*w**2 - 362*w**2 + 4*w + 805*w**2 - 4 to b + u*w + y*w**2 + r*w**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102807 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8130*-28.\nAnswer: -227640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007435 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*y - 34 = -3*y, -5*t + 51 = -4*y for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1080564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2172, -8, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*v - 77971 - 71119, -119230 = -4*t - 10*v. Is 84 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000152685482 rounded to 6 dps?\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 46\/3 + 2\/3*y**2 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -24, 511, -73?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16605069 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0*i + 0*i + 9077*i**2 - 9081*i**2.\nAnswer: -4*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -77*m + 28. Let v(k) = 11*k. Determine q(v(x)).\nAnswer: -847*x + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*j**2)*(-6*j**2 + 3*j**2 - 1 + 2).\nAnswer: -6*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3727989)\/18*(-1 - 1). Suppose 2*l - 56945 - g = 0. Let b = l - 348583. Round b to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a - a - 3583*a**4 + 3448*a**4 + 66 wrt a?\nAnswer: -540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/19404550 and -101\/6985638.\nAnswer: 174640950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (-4 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) -368 (c) 2.7 (d) 18 (e) -3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + c**2 - 10485*c**3 - 1 + 2*c**4 - 62*c + 10484*c**3 to the form b + m*c**3 + h*c**4 + j*c + v*c**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 - v - 1. Let f(m) = m**3 + 8*m**2. Let b(r) = -f(r) - 2*l(r). Let j(x) = x + 1. Let c be j(5). What is the units digit of b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6*g = 5*g + 1, -5*m - 4*g = 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*i**2 + 0*i + i**4 + 24*i**2 - 2 - i**3 + 2*i to the form y*i**2 + z + v*i + h*i**4 + s*i**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3))**(-48) assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (3 - 48) + (-16 - -7) - -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 416274683 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60474, -119891, -179306, -238719, -298130, -357539, -416946?\nAnswer: -476351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 - 90. Calculate the remainder when 69 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o - 5749*o**2 - 212261 + 212261 + 4*o)*(4*o**2 - 4*o**3 - 4*o**2).\nAnswer: 22996*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9003616 plus 0.24?\nAnswer: 2.1403616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*h*q**3 + 75*h*q**2 + h*q - 38252*h - 371034*q**3 + 2*q**2 - 2*q wrt q.\nAnswer: -348*h - 2226204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l + 15*l - 2*l - 15550. Solve -x - l = -630 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:46 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = 2*z - 188, 3*z = 2*v + 280. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose 3*p - 4 = -5*l + 10, c = l - 2*p - 8. Let u(s) = 2*s**3 + 4*s**2 - 4*s + 4. Let h(o) = -o**3 - o**2 + o - 1. What is l*h(b) + u(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 22, 67, 130?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*x - 2006004 - 3833710 = 56*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y - 6. Let v(j) = 10*j**2 + 281071 - 281071. Calculate z(v(n)).\nAnswer: 150*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -16 + (10 + 14 - 10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 6018993\nAnswer: 8\/2006331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 2*k + 1. Let z(i) = 2*i**2 - 7*i - 17. Let s(v) = -a(v) - z(v). Let m(p) = -2*p**2 - 6*p - 16. What is -6*m(q) - 7*s(q)?\nAnswer: -2*q**2 + q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + u - 4 = 0, 2*p + u + 5 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b - 96 = -3*c + 4*c + 3*c, -408 = -57*c - 1719 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 63?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 + 157*z - 15*z**2 - 160*z as p*z + v + w*z**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.659*5.\nAnswer: 223.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 12997738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5687, 12436, 19183, 25928, 32671, 39412, 46151?\n\"Answer: -y**2 + 6752*y - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (9 + -8) - (8 + (-6 - -17))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -29. Suppose -2*w + 12 + 2 = a. What is the smallest common multiple of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) -0.057359 (d) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111110 + 1101111?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(80))**2 + sqrt(35)\/sqrt(252) + sqrt(5))*-1*-5 + -5.\nAnswer: 35*sqrt(5)\/6 + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18812 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**3\/3 + 3*p**2\/2 + 8*p. What is g(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -u - 4*u - 4, -8 = 4*u. Suppose -5 = -z - a. Let d = z - 3. Sort 4, -2, d in ascending order.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3954 (base 11) to base 8.\nAnswer: 12025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 18 = -23*y + 18*y, 0 = -2*y + 4*p - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-126)\/(-4))\/(0 + -1) and (64\/20 + -3)\/((-3)\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:34 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -5. Suppose 695 = 5*g - 2*y, -i - 669 = -5*g + 5*y. Suppose -4*f = -g - 1225. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**2\/7 + 3164584*l\/7 - 625911993316\/7 = 0?\nAnswer: 395573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g**5*r - 57*g**3 - 254*g**2*r - 4*g*r wrt g.\nAnswer: 960*g**2*r - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:09 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 2, t: 4}. Give prob of sequence kk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*b + 166, 1 + 7 = -2*b. What is g rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 54886195 = 2*h, 5*h - 4*j - 137215476 = 0. Let q = h - 53743096. What is q rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1747, -7211, -16393, -29293, -45911, -66247, -90301?\n\"Answer: -1859*m**2 + 113*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2)*(0 - 0). Suppose u*d = -5*d + 50. Calculate the smallest common multiple of 3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -567477*i*s**3*y + 5*i*s**3 + 2*i*s**2 - 2730*i + 1170*y wrt s.\nAnswer: -3404862*i*y + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l - 10. Let m = -1 - l. Suppose -13 + m = -n. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = -a, 5*a = -15*m + 13*m. What is the hundreds digit of 11583\/(-26)*(a - (-3 + 7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -5 (c) 9 (d) 3 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 18698\nAnswer: 74792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350125949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o + 25 = 0. Let m(y) = 16*y + 53. Let i be m(-3). What is the highest common factor of o and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9552130*a**2 + 4776067*a**2 + 4776061*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -354422*g*s**2 + g*s*t**2 + 8*s**2*t**2 - 95129*s*t**2 wrt g.\nAnswer: -354422*s**2 + s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -898*i**7\/21 + 569*i**4\/4 - 360*i. What is the third derivative of b(y) wrt y?\nAnswer: -107760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5.9 (b) 1\/2 (c) 1\/6 (d) -0.53 (e) -6 (f) 1 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**3 - o**2 + 263*o. Calculate q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08089 - 31.71911. Let j = -46 + 14. Let x = r - j. What is the closest to 0 in 2, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = -21*t - 2*h + 18, -15 = -3*h. Sort -17, 3, t in ascending order.\nAnswer: -17, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.3. Let l = -26.5 - -26.8. Put g, 2, l in decreasing order.\nAnswer: 2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -670 + 425. Let y = 828 + w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242245 + 242247. Let -24*u - 32*u**h - 9\/2 = 0. Calculate u.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.71543 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + (-1 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12570373 > 12570373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4255 - -21500?\nAnswer: 25755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3552012 (base 6) to base 11.\nAnswer: 117630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16*449119\/726 + 12\/198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563857879.\nAnswer: 1563857879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.252 + 14.707876?\nAnswer: 14.959876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.090500839\nAnswer: 0.543005034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3209 + 5075. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2337.12s to days.\nAnswer: 0.02705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6*21\/(-1400)*5)\/((-12)\/(-20))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 - (8 + -12) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194279234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**2 - i + 19. Let n(y) = 2*y - 2. Let g(r) = 2*f(r) - 3*n(r). Suppose -s + 3 = -1, -4*p - 5*s + 32 = 0. Give g(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 5. Let a be j(0). Suppose -2 = -3*l - 11, -a*t - 15 = 5*l. Let y(i) = -i + 35. Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 27\/3 + 2. Suppose i = -0*i + a. Let q = i - 3. Solve 2*g = -4*h - 10, q*h = -g - 0 - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 4, -0.2, -0.1, -172, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 r when three letters picked without replacement from ooorrqrttrrt?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737233?\nAnswer: 7, 105319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123384.\nAnswer: 2, 140423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/(v\/(v\/v**9)))**(2\/77)\/((v**0)**(-21))**(11\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(60*b - 27 + 27) - 53 + 5*b + 53.\nAnswer: -115*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 463463*a**2*o**5 - 10*a**2 + a*o**3 + a*o**2 - 462 wrt o?\nAnswer: 27807780*a**2*o**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + ((-156960)\/351)\/16?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 0*l**3 + 0*l**3 + (-15*l + 30*l - 2*l)*(-3*l**3 - l**3 - 5*l**3) - 18*l**2 + 18*l**2 - l**4 - l**3 + l.\nAnswer: -120*l**4 - l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 385578 - -438?\nAnswer: 386016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 102338*j + 24. Let u(s) = -40937*s - 10. What is 5*n(c) + 12*u(c)?\nAnswer: 20446*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*a = -9008 - 10789 + 3449 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4 + 7 - d**3 - 2*d**2 - 8*d - 3 + 10*d**2. Suppose 0 = 5*h - 4*f + 7 - 58, f = 5*h - 39. Let z be t(h). Put 5, z, 0 in descending order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Solve w = -u + 4*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5803.\nAnswer: -2\/5803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*h**3 + 2*h**3 - 1 + 6*h**3 - 13*h**3.\nAnswer: -28*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387902?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.8 + 5.2. Let m = l - 69.7. Which is the nearest to m? (a) -5 (b) 2\/11 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(28)\/(-2*sqrt(4)*-1).\nAnswer: -5 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -958*y - 14367. What is p(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100111100010 + 10101000?\nAnswer: 101101010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2)*(-108)\/252. Find n such that 3\/7 + 3\/7*n**3 - h*n**2 - 3\/7*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/(-57) - ((-2076)\/228 - -9))\/8. Do 420 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 1357951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + q + 20, 2*q + 4 = o + 3*q. Let r be (2\/(-3))\/1*3. Let f be r - (8\/(-1) - -1). Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3493 + 24490\/7. Let o = -344\/39 - -139\/13. What is the common denominator of o and s?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 105 - 25. Suppose 3*r - f = -4. Suppose -b = -r, 0 = -5*q + b - 2985 - 119. What is q rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:02 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 62*k**2 - 194*k - 140. What is l(65)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - -9?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 4*j - 4. Let k(t) = t**2 - 3*t - 2. Let i(p) = -4*k(p) + 3*r(p). Suppose 0 = 3*c - 6*c. Calculate i(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 2*a**2 + a. Let y be l(1). Does 25 divide y\/(8\/292) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -411, -429, -449, -471, -495?\n\"Answer: -j**2 - 15*j - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/11 - 28*k**3\/11 + 72*k**2\/11 + 432*k\/11 - 1728\/11 = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l**(-7)*l*l*l*l)\/l*l)\/l)**9*l**(-3\/2)\/(l**25*l) assuming l is positive.\nAnswer: l**(-109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 - 23*l**2 + 2227*l + 2222*l - 4449*l.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -21. Let q = u - 21. Let d(o) = o**3 - 5*o**2 + 9*o - 5. What is the units digit of d(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 525*g + 67265. Calculate d(-303).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162889?\nAnswer: 162889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, -3, 3, 828, -4 in decreasing order.\nAnswer: 828, 3, -3, -4, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 1. Let c(w) be the first derivative of -4*w**2 + 8*w - 58. Determine 2*c(o) - 14*y(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -49, -56, -65?\n\"Answer: -p**2 - 2*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 - 4*m + 4. List the prime factors of z(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y + 57 = 3*d, 2*y + 38 = 5*d. Let n be ((-6)\/(-4) - 1)\/(y\/(-38)). Solve n = -q - 3, 3*o + 3*q + 15 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by 120?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 - -109. Let z(c) be the second derivative of 0*c**2 + 0*c**3 + 3*c + 0 + 1\/12*c**t. Let j(a) = 2*a**2. Give z(j(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30830 and 15415.\nAnswer: 30830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/4339 and 32\/77.\nAnswer: 334103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (9 + 0 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.062 + -0.108. Which is the nearest to -2\/11? (a) d (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 770 and 2772?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58506.999947121 - 58507. Round x to six decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:58 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 31559, -5 in descending order.\nAnswer: 31559, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 10)\/(-2*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -4, -5592 in increasing order.\nAnswer: -5592, -4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 90558.18 years?\nAnswer: 9055.818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j**2 + 0*j**5 + 0*j**4 + 0*j + 3*j**3 - 3\/2*j**6 + 5. What is the third derivative of y(b) wrt b?\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004937438 rounded to 6 dps?\nAnswer: -0.000494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.23 and -3976176268841.\nAnswer: -3976176268840.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 14*x**2 - 19*x - 93. Let i(c) = 11*c**3 - 41*c**2 + 56*c + 276. Let t(a) = 3*i(a) + 8*u(a). Determine q so that t(q) = 0.\nAnswer: -2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324195 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = -2*f, 5*f - 12 + 0 = w. Which is the nearest to f? (a) -5 (b) -60 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s + 4*t = 68, 5*s = -246*t + 242*t + 68 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 15 = -3*r, 1 = -r - 4. Suppose a = 3*o - 4*o. Is o > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00029 or 3?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 6*y**2 - 12*y + 9. Determine q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5130)\/225)\/(-57)*(-25)\/340?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6360 is divided by 2089.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4724960000 rounded to the nearest 1000000?\nAnswer: 4725000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -190771.9 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1585 - -1891. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51512 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 31*q**5\/5 + 5*q + 54. What is the first derivative of z(j) wrt j?\nAnswer: 124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32458, 54630, 76802, 98974?\nAnswer: 121146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n + 12. Let v(q) = q. Let b(o) = -r(o) + 6*v(o). Let y be b(-6). Let m be 3\/y + (-9)\/(-2). Solve s = -2*d + 4, -2*d = -s - m*s + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -62, -90, -118?\n\"Answer: -28*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h + 4 - 14 + h + 4*h. Suppose 2*z = 8*p - 5*p - 41, 2*z = -8. Calculate the remainder when p is divided by b(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + 1 + (1 - 1). Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 greater than or equal to -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 12*o + o**2 - 5*o**3 - 67*o - 2 + 3*o + 42*o. Let c(d) = 5*d**3 - d**2 + 3*d + 3. Determine -2*c(q) - 3*p(q).\nAnswer: 5*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 5749*i - 57698. Give y(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.04, 0.05, 0.026?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 82 = -143. Let p = k - -40. Let u(h) = -39208 - h + 39208. Determine u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4113013244 + 0?\nAnswer: -4113013244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011877 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iccdicdidiidiiii. Give prob of sequence cd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1164 - -1161. Let z(a) = -4*a**2 + 2*a + 0 + 2 + 2*a**2 - a**3. Give z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 5*y + 3*x, -5*y - 66*x + 249 = -68*x. Calculate the remainder when 144 is divided by y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40a (base 13) in base 4?\nAnswer: 22232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -930 - -925. Let g = -1155 - -4669\/4. Let z = g + -12. Put 4, l, z, 3\/5 in descending order.\nAnswer: 4, 3\/5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51539873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {r: 5, g: 2, x: 11, p: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let b(x) = -4572*x**2. Give b(g(v)).\nAnswer: -18288*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15880 is divided by 123?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 278751, 278749, 278747, 278745?\n\"Answer: -2*q + 278753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**5*l - f**4*l - 2*f**3*l**2 + 2*f**2*l - 6*f**2 - 4*l**2 wrt f?\nAnswer: 300*f**2*l - 24*f*l - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/10, 2\/17, -3, -46, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r. Let q(v) be the second derivative of 0 + 33*v + 0*v**2 - 1\/6*v**3. Give d(q(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -121. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + 420. Let a = -527 + u. What is the smallest value in -31, a, -0.5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r = -8*r + 72*o - 76*o - 1185, r = 5*o - 24 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/1*2. Suppose 5*g - 12 = 3. What is the derivative of m**3 - 2 - 3*m**g + z*m**3 + 5 wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -18. Suppose x*d - 30 = -0*d. Let b(q) = q + 0*q**3 - 17 + d + 2*q**3 - 3*q**3. What is b(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 1 (c) 1\/4 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4362 - 4374. Put 0.5, -0.06, g, -2\/5, 4 in descending order.\nAnswer: 4, 0.5, -0.06, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28))\/((-813)\/542).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/18, -12, 37491, -1\/3, -2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/748 and 101\/1000756.\nAnswer: 11008316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 20287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9061 - 9061. Factor 2\/13*l**3 + 0 + r*l**2 + 0*l.\nAnswer: 2*l**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690570 is divided by 557.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39613, 79104, 118595?\nAnswer: 158086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2 + 8\/4. Suppose -s*r + 60 = r. Let j = 20 - r. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 10*c**2 + 2*c + 18. Let m = 7 + 3. What is the remainder when x(m) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-5*(-7)\/5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 1250*p**5\/7 + 7650*p**4 + 233908*p**3\/7 + 151544*p**2\/7 - 28848*p\/7 + 1216\/7 = 0.\nAnswer: -38, -4, -1, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 29*l**2 + 13*l**2 + 14*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (214\/(-1819))\/(154\/119).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127236648 divided by -434.\nAnswer: 293172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109394 or 108936?\nAnswer: 109394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 34*l**2 - 3*l - 3. Let u(j) = 0*j + 7 + 13*j**2 - 5*j + 56*j**2 + 1 - 13. Determine 5*i(r) - 3*u(r).\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122010022000020 (base 3) to base 14.\nAnswer: 12cc160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.68 - 4.78. Put 3, -2\/9, x in decreasing order.\nAnswer: 3, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2543 (base 7) to base 9.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)*234\/(-36). Let m(c) = c**3 - 8*c**2 - 31*c + 14. Is m(u) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4081*l**3*n + 2*l**3*w - 65*l**3 - 21823370*l**2*n*w - l**2*n - 9*l + 3 with respect to w.\nAnswer: 2*l**3 - 21823370*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 28440974?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6730 (b) -5\/7 (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - b = -20, 25*o - 83 = -2952*b + 2951*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 18 + p - 7*p**2 - 76 + 18 + 13 in the form n*p + t*p**2 + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 64. Let d be (-2)\/4 + 2\/4. Sort o, -1, d in decreasing order.\nAnswer: d, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/(2\/(-16)*4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.6269ng to tonnes.\nAnswer: 0.0000000000007226269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - ((-612)\/(-9))\/(-4). Suppose -4*v + 4 = 2*p + 12, -5*p - 60 = 2*v. List the prime factors of 2*87 - (j + p).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 210*v + 10604. Determine x(128).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48572.020007 + -48572. Let u = 0.02 - v. Round u to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -7005?\nAnswer: 7\/7005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148956*w**3 + 0*w**2 - 1 + 0*w**2 + 151681*w**3.\nAnswer: 2725*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + 4 + (sqrt(153) + -4)**2.\nAnswer: -23*sqrt(17) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose -5*w = 2*s - 5, f*w = -0*w + 3. Which is the closest to 1\/4? (a) s (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 199*n - 322?\nAnswer: 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17497, 34998, 52499, 70000, 87501, 105002?\nAnswer: 122503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 at least 238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 346.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24849694 divided by -21.\nAnswer: -24849694\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 9:46 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 109*u**3 - 7*u**2 - 2*u - 6. Let x(d) = -91*d**3 + 7*d**2 + 2*d + 7. Let v(a) = -5*j(a) - 6*x(a). Determine v(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 213154?\nAnswer: -69\/213154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 2016?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 80 - (91 + -148)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one fifths of a day?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 23*p + 48. Let l be o(-2). Solve -b - u - l*u + 4 = 0, b = 3*u - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 10*n**2 + 11*n - 12. Calculate the remainder when 11 is divided by f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 416*v - 2599. Calculate t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064048574 to the power of 1\/3, to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 14311*w**4\/4 - 4*w**3\/3 + 18*w - 2416. What is the third derivative of p(d) wrt d?\nAnswer: 85866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3090279277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {n: 2, p: 8, j: 2, v: 2, s: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(560\/(-24))\/(-10).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -37, -79, -135, -205?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 120 + 100. Suppose d = -21*o + 3575. Calculate the highest common divisor of 33 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 24 = -4*y + 7, 2*l + 3*y = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.94 (b) 2\/13 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 56 - 73*z)*(3*z**3 - 5*z**3 + 3*z**3) + 2*z**4 - 3*z**4 - 10*z**4.\nAnswer: -84*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.58282 - -0.0173. Let h = -0.10791 - u. Let c = -1.46 + h. Round c to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 736, 411, 84, -245, -576?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1692 - -2845. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22292.\nAnswer: 2, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1102*l - 550*l - 39*l**2 - 552*l.\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssshssssssssssssss. Give prob of picking 1 h and 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -45*r + 3. Let p be v(-1). Let a = p + -21. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57938 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17583812 divided by -4.\nAnswer: 4395953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2304\/5 - 3\/5*i**2 + 2301\/5*i = 0.\nAnswer: -1, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379.\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 - 164. Suppose d + 0*d = u - y, u - 2 = 3*d. Is 1\/75 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1265, -1\/4, 7612 in decreasing order.\nAnswer: 7612, 1265, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**2 - 11*v. Let p(r) = -12*r**2 - 9*r. Give 5*p(z) - 4*w(z).\nAnswer: -12*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*a = 39, 4*b + 0*b - 52 = -5*a. Suppose 4*d + 0*d + g - b = 0, -3*d - 3*g = -21. Suppose -d - 1 = -y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 - c**3 - 3*c**2 - c**3 - 6 + 8 in the form y*c**3 + w*c**2 + r + b*c**4 + v*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-819 - -844) + 2 + -59.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*c**5\/11 - 5712*c**4\/11 + 149026*c**3\/11 + 411236*c**2\/11 - 53802*c\/11 - 500780\/11 = 0. Calculate c.\nAnswer: -7\/4, 1, 35, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 - i**3\/3 + i**2. Let x be f(-2). Suppose x = 4*a - 4 - 32. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 - -4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -498 - -853. Let y = -194 + s. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 1\/21, 2, 3.6, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 1 - 2*a - 4*a + 3*a. Let b = 4 - -1. Calculate f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*3 + (-15 - -2 - -15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + (1*sqrt(11) - sqrt(11)) - (sqrt(11)*-2 + -5))*-2)**2 + 2.\nAnswer: -96*sqrt(11) - 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.90009 + 4.9. Round s to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 - 138*c\/7.\nAnswer: -3*c*(c + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 s, and 1 v when four letters picked without replacement from vsyvtvyvyjttvjqjy.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161107.\nAnswer: 31, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 15. Let n be z(-12). Let a(q) = -7*q - n*q - 3*q + 0*q. Let r(h) = 15*h**2 - 2*h**2 - 8*h**2 - 7*h**2. Calculate a(r(d)).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 312.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + (sqrt(475) - (sqrt(475) + -3)**2) + -4.\nAnswer: -488 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -20 (b) 2\/15 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 94*h + 1497 = 140 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 + 51433622?\nAnswer: 51433453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaamziwzpaiapwzwwa. Give prob of sequence wazi.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 4 = -z, z - 3*m - 2 = 0. What is the third smallest value in z, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:37 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/11 (b) 0.5 (c) 234 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122\/165 + 6521\/8745. Which is the second biggest value? (a) s (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 28*z - 13*z - 12*z.\nAnswer: 3*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -522*k + 42 wrt k.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 141268 - 419578. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51068698 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*m**2 - 4777 + 4777)*(4*m + 0*m + 2*m) as w*m + n*m**3 + y + c*m**2 and give n.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 - 3 + 1 - 7*p**3 + 2*p**2 wrt p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 7*k**3\/6 + 4*k. Let d(t) = t**3 - t**2 + 1. Let u be d(1). Let l be u*(1 + 1 + -1). Determine x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11294828 and 29866?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 125*p + 12 - 4 + p**2.\nAnswer: p**2 - 125*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 3*g**2 + g**2. Let w(v) be the third derivative of -v**5\/60 - 2*v**2. Give w(y(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Suppose 3*a - 2*a = t. Suppose -2*j + a*j - 186000 = 0. Round j to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51\/2 + -34. Let m(i) = 2*i + 13. Let x be m(8). What is the common denominator of f and (-5 - -3) + x\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3196398240.\nAnswer: 2, 3, 5, 7, 105701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 1302, 1663, 2024?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 + 102*p**2 + 2700*p + 5000 = 0.\nAnswer: -50, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 63 + 61 - 189 + 65.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minus 0.1219972?\nAnswer: 495.8780028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d - 5. Let q(n) = 16*n - 6. Let y(p) = 7*o(p) - 6*q(p). Is y(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/84*(-50)\/(-26). Let x = -4\/39 + k. Sort -3, 4, x in descending order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -7.2. Let u = j - 4. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 + 25*i**4\/2 - 107*i**3 + 382*i**2 - 604*i + 352.\nAnswer: -(i - 11)*(i - 8)*(i - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24170, 48456, 72742?\n\"Answer: 24286*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6578 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1111876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11\/3)\/(c\/c**(7\/3)))\/(c**(-27))**(5\/2) assuming c is positive.\nAnswer: c**(391\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/43)\/f)**20*(f**(1\/8))**(8\/9))**(-29\/3) assuming f is positive.\nAnswer: f**(212773\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i + 9 = -2*p, i + 3 = 0. Let s(x) be the first derivative of -2\/9*x**3 + 0*x - 1\/3*x**2 - p. Solve s(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8168245783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8343941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 735293152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 375 + 2*n**3 - 5*n**3 - 4*n**3 + 456 + 5*n**3.\nAnswer: -2*n**3 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6 and -91\/4052834270.\nAnswer: 12158502810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-36)\/(-3))*(-52)\/(-377)*(-297)\/396?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 30*t + 95 - 8*t in the form z*t + k and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40960 and -5?\nAnswer: 40955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10663.4 (b) 5 (c) -8 (d) 1.7 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171262 - -394349. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - -2 - (-28 - -46)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*v + 88, 0*a - 4*a - 62 = -2*v. Suppose -16*x + v = -23. Let j(h) = -21 + 34 - 3*h**3 + 2*h**x + 6*h**2 + 4*h - 19. Determine j(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30526 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19*g**3 + 2*g**2 - 2*g + 2. Let l(a) = -75*a**3 - 9*a**2 + 9*a - 9. Let p(b) = -21*b**2 - 59*b + 3. Let j be p(-3). Determine j*r(c) - 2*l(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.123 - 0.022. What is g rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 26*n. Let t(r) = 2*r - 56. Determine p(t(o)).\nAnswer: 52*o - 1456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 421517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32134381, -64268777, -96403175, -128537575, -160671977?\nAnswer: -192806381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + t = 9, -5*y + 3*t - 4*t = 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = 2*v - 10, 3*v = 12. Suppose -5*d + 18 = 4*d. Let i = d + s. Solve -i*o + 4*y = 16, -4*y = -4*o - y - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 20*z - 855. Let u be h(42). What is the highest common divisor of u and 782?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1293 * 0.19.\nAnswer: 245.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355111867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/226295 and 59\/80?\nAnswer: 3620720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145794*z - 75 = -145797*z + g, -4*z - 4*g + 84 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 175\/28)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 58*l + 50. List the prime factors of v(6).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(112) - 3*((sqrt(112) - 4*sqrt(112) - sqrt(112)) + sqrt(112))) - 1*(-4 + sqrt(112) + 3 + sqrt(112) - sqrt(112))) + 5)**2.\nAnswer: 360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -9765?\nAnswer: 9758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17513734, -17513738, -17513742, -17513746, -17513750?\n\"Answer: -4*v - 17513730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14961*y = -14944*y - 253266. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 + 10 - 10 - (-272)\/1 is divided by 241.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/10 - (14 + (-1421)\/145). Suppose 0 = -2*u - 2*u + 3*g + 35, 5 = -g. Let a be (-44)\/(-5)*25\/10. Sort c, u, a in decreasing order.\nAnswer: a, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286358 (base 9) in base 11?\nAnswer: 10a744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 111011011000111001111?\nAnswer: 111011011000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 - 813 = -2*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 0)*1 + 16. Suppose -3*v = 5*w - 9, w + u = -0*v + 4*v. Solve -z + 3*s + 9 = -5*z, 5*z - v*s = -18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 3150.83?\nAnswer: 3154.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 8 = 4*y. Suppose 5*s = 2*w - 20, 0 = 3*w - y*s - 2 - 17. Sort -3, -5, w.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -103*s + 2079. What is the remainder when 3145 is divided by p(18)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let d be 2 - (-1*34 + a). Calculate the greatest common divisor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j + 5. Let d be 0\/(-16 - -8)*2\/4. Sort -3, 11, d, j in ascending order.\nAnswer: -3, j, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10355206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -134*f**2 - 10*f + 21. Let o(m) = -10*m. What is o(w(j))?\nAnswer: 1340*j**2 + 100*j - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - i**2)*(-218*i + 100*i - 276*i)*(12 - 22 + 15).\nAnswer: 1970*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomooimmooomm. What is prob of sequence moo?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/2, 128, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 111213528 = 3*a - a, a = 0. Let x = -47903382 - l. Round x to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 - -298. Let q(t) = -12*t - 1. Let i(l) = 17*l + 1. Let h(k) = c*i(k) - 7*q(k). Determine h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 24. Solve 2*a - o*a = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 40*l**2 - 719*l + 10. Let w be f(18). Solve -4*g = -5*x, -30*x + 7 = -w*x - 3*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**7\/2520 + 2*k**5\/15 - 17*k**4\/6 - k**3\/6 - 26*k**2. Let h(p) be the second derivative of a(p). Let h(f) = 0. What is f?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/9709 + 9731\/106799. Which is the closest to h? (a) -24 (b) -0.2 (c) 2\/13 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240395123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-109)\/(4\/64). Let y = c + 12239\/7. Calculate the common denominator of -87\/2 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44222598.\nAnswer: 2, 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t + 8*t + 6*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39855, -40196, -40537, -40878?\n\"Answer: -341*i - 39514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1\/3, 0.4, -2\/17, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -39*y**5 + 534*y**4 + 72888*y**3 - 149424*y**2 - 290928*y + 589152 = 0?\nAnswer: -38, -2, 2, 646\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.07941 - -0.07941. Suppose -4*r = r - 10. Suppose -5*h = -h - 5*j + 22, r*j = 2*h + 10. What is the fourth smallest value in a, 0, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 14. What is the remainder when c is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 157 (b) -383 (c) -1 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3854645 times -0.5?\nAnswer: -4.19273225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9439986 rounded to 3 dps?\nAnswer: -2.944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17501*n**5*z**2 - 67*n*z + 7*z**2 - 3*z wrt n.\nAnswer: 350020*n**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 3*k + 3. What is the tens digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwwffwwwnffnw. What is prob of sequence nw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -356552*x - 18184138. Determine u(-51).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 343692.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975135687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2*a**2 + 216*a - 37. Let k be h(0). Suppose -4*o + 3*o = -27. Calculate the greatest common divisor of o and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - (-5)\/(-21). Let c = 7 + -5. Sort -3, b, c in ascending order.\nAnswer: -3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:04 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-11 + -3 + 13 - 14) - 54.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 7, 0.5, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080918.465 rounded to the nearest one thousand?\nAnswer: -1081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5081 is divided by 201.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485000517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:29 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 0.5, -10\/7 in ascending order.\nAnswer: -10\/7, 0.5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3)*(-36)\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37113 (base 8) to base 9.\nAnswer: -23778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(84\/(-7))*-2*5\/(25\/(-8)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n - 1. Let s(m) = 3*m**3 + 3*m**2 - 2*m + 2. Let u(y) = s(y) + 2*x(y). Factor u(d).\nAnswer: d*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from qeqyaqaqamym.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*k + 43, -105*k - 28 - 13 = -5*y + 2*y - 100*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207584945 to the power of 1\/2, to the nearest integer?\nAnswer: 14408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 18*s - 244. Give f(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.1 + 79.6. Which is the third smallest value? (a) -0.2 (b) 6 (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -3\/5 (b) 4\/9 (c) -1\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 - 27*o\/7 - 858\/7.\nAnswer: 3*(o - 22)*(o + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.2 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5633.793 grams to milligrams.\nAnswer: 5633793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (10190\/(-40))\/(6\/(-1464)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 13606*p\/3 + 31780.\nAnswer: -2*(p - 6810)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2347422961 to the nearest integer?\nAnswer: 48450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)*-1)**2 + -4.\nAnswer: -16*sqrt(17) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:06 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 5, k: 6, b: 1, e: 2}. What is prob of sequence ekb?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-95))\/(49\/7448*-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -10\/3, -1, -2, -24, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 12, -5, 3, -1\/5, 94?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 2*w - 2. Let z be 4\/14 - 38\/(-14). Let a be p(z). Suppose -3 + 13 = 2*s. What is the greatest common divisor of a and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 109.181763 seconds?\nAnswer: 0.0012636778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. What is the closest to q in -3, 4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = o, -29 = -o - 0*o + 5*b. Find the first derivative of -5 + 2*a**o + a**4 - 2*a**4 wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20122103 (base 4) to base 5\nAnswer: -2100301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**3 + 13*f**3 - 23*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 at least as big as 135.165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 221034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750139 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3121103 (base 4) to base 13\nAnswer: -643a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139461222 to the nearest integer?\nAnswer: 11809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 365\/238 + -4\/119. What is the closest to -5 in r, 1, -5, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -58, -106, -174, -262, -370?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31653634 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13342 - -40434113?\nAnswer: 41003010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*n - 2 = -2*n, -2*v = -n - 5. Sort 3, 2, v.\nAnswer: v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265 - -311. Let n(f) = f**3 - 3*f**2 + 3*f - 4. Let i be n(6). Suppose i = 4*c + k. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 1 (c) -1\/8 (d) -0.3 (e) 264 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -68. What is the smallest common multiple of h and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000890193024 to 6 decimal places.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 5. Let o be k(4). Let t be (31\/3 + 132\/(-396))*1\/2. Solve -o + 26 = -t*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -59. Let i(r) = -r**2 + 6*r - 1. Let g be i(4). Which is greater: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1963 - 979. Suppose -4*w + 2*p - g = 132, 4*w + 1116 = 4*p. List the prime factors of (-8)\/2 - (1 + w)\/1.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-17 - -25)*(-6)\/(-4) and 1\/((-4 - -5)\/24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530018 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8 - r**2 + 9*r + 2*r**2 - 33*r + 14*r. Give u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314817923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -40\nAnswer: -63\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (3\/((-6)\/(-4)) - 4). Is 14 a factor of (1 - -27)\/(t\/336*7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -21*z**2 - 5*z + 5. Let k(s) = 4*s**2 + s - 1. Let b(w) = i(w) + 5*k(w). Suppose 5*j - h + 0*h - 2 = 0, -2*j = h - 5. Determine b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99673 (base 12) to base 13\nAnswer: 715c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = 11*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19546 is divided by 148.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1433*d + 478. Let x(v) = -716*v - 206. Give -3*w(c) - 7*x(c).\nAnswer: 713*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/55 and -1\/115.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4 - 16. Suppose -288 - 51 - 43 = -382*h. Put h, u, 0 in ascending order.\nAnswer: 0, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - (-28)\/12. Suppose 20*o = 31*o. Suppose -16*t + 198 - 38 = o. Solve -t = x*n - n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j**4)*(3 + 3 - 5)*(-1 - 20 - 5).\nAnswer: 52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183052.\nAnswer: 2, 1045763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/6814 - 4790221\/47698. Does -101 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*i + 3170*i + 1393*i.\nAnswer: 4146*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*z - 705, 5*s + 171 = 2*z - 1007. Let f = -88 - s. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**4 + 44*k**3 - 91*k**2 + 3*k + 252408 with respect to k.\nAnswer: -4*k**3 + 132*k**2 - 182*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2654494770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 188806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)*(-3 + 1). Let s(p) = -6*p - 2. Let g be s(-2). Let x = g - w. Solve -x - 1 = -3*m, -5*l = -m + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 at most -1.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -135*d + 99. Suppose -3*k + 32 = 5*k. Let r be s(k). What is r rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 33182*r - 597394. Give p(18).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1110010110010110011110011?\nAnswer: -1110010110010110011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3 + 3 + -2). Suppose 0 = 4*l - 3*b - 4 - 12, -4*b = c. Suppose w + l*r + 80 = 2*w, -3*w = r - 175. What is the greatest common divisor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, 0.1, -6, 5, 1.6, -25, 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8970436kg to milligrams.\nAnswer: 897043.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6649\/3 + 2218. Which is the second smallest value? (a) u (b) -0.3 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(1\/6))\/d*d**15*(d*(d*d*(d*d**4)\/d*d)\/d*d)**(3\/13) assuming d is positive.\nAnswer: d**(1457\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (11\/(-2) - -1 - (24507540\/(-77928) - -298))?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v*((v**(2\/3)\/v)\/v*v)\/v)\/v)*v*v)**15*v**0*v**(-2\/7))\/((v*v**(2\/3))**(-36))**(19\/3) assuming v is positive.\nAnswer: v**(3218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110010111000100010 + -1000100?\nAnswer: 10011110010110111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 16. Let m be f(-13). Let g(k) = -k. Let z be g(-1). Let t be 3 - (-2 - (-1 + z)). Solve -m*v - 2*v - t = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 909016.\nAnswer: -909015.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = 18. Suppose -4 = -2*q + 2*z, -q + i = -4*z + 24. Suppose -6*m + q = -7*m. Which is the third biggest value? (a) m (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**3 - 44*u**3 - 28*u**3 + 8*u**3 - 143*u**3.\nAnswer: -185*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -19 - -8 - -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.1 - -16. Let b = -3.9 + y. What is the smallest value in -3, b, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by 6592.\nAnswer: -135\/6592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 291110507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 18*l - 16. Let t be p(-17). Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 4*q**5\/15 - 2*q**2 + 4*q + 27. Let f(x) be the second derivative of c(x). Let z(a) = -2*a. Give f(z(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 4. Let f be u(2). Let h be 1\/(-2) + 3 + f. Suppose 4*r = -4*m + 3*r + 15, -5*r = 3*m + 10. Which is the smallest value? (a) -1\/4 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3119*h + 56 = -3111*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 1044*o**4 + 13693*o**2?\nAnswer: 120*o**2 - 25056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3*(g**(-7\/6)*g)\/g*g*g)\/(((g\/g**1)\/g)\/(g\/(g\/g**(4\/3)))))**(-5) assuming g is positive.\nAnswer: g**(-185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0 + 1\/20*b**5 - 130*b**2 + 11\/120*b**6 + 0*b + 0*b**4 + 11\/3*b**3. What is the first derivative of q(y) wrt y?\nAnswer: 33*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486009 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 203969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 2*l**2 + 5*l - 4. Let q be f(3). Suppose -3*w - a = 152, q*w + 5*a + 36 = -48. Let t = w + 78. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*h + 785 = 4*h, -463 = -3*t - 4*h. Let j = -96 + t. Suppose 2*m - 52 = -4*a, -5*a + 3*m = 4*m - j. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 8*u - 6*u)*(-1 + 2 - 3)*(1 - 2 - 1).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1503 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 638 = -4*x, 0 = 3*x - 2*h - 314 - 168. Suppose -u = -7*u + x. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -846. Let s = -850.9158 + j. Round s to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 1734, 5, -2\/11?\nAnswer: 1734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*r + 2*z, -r + 4*z - 9*z - 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 6, a: 4}. Give prob of sequence ggg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/23331 and -18\/49.\nAnswer: 163317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 - 636*b - 123. Give q(58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8229 + -8153. Solve 6*h - u = -58 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -2\/15, 0.4, 7\/9 in decreasing order.\nAnswer: 5, 7\/9, 0.4, 0.3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -292*d**3 - 140*d**2 + 122*d - 148722773 wrt d?\nAnswer: -876*d**2 - 280*d + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -89+7542.09\nAnswer: 7453.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12\/7, 12, -0.4, 0.04.\nAnswer: -1, -0.4, 0.04, 12\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:11 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378381.\nAnswer: 3, 126127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + c**2 + 629 - 328 + 1344*c - 306 to the form m + t*c + w*c**2 and give t.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/8)\/(-9)*(4081 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/2744 and 5\/4?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-35 - (-5 - -26)) - (2 - -78)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose -4*h + 5*q = -h - 34, 3*h + j*q - 16 = 0. Let l be (-2 + 2)\/((-140)\/(-140)). Solve l = -3*s + 5*g - h, 2*s + g + 4*g = 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.127 + -0.527. Which is the closest to 2? (a) -3 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 42. Calculate the smallest common multiple of 2 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, -4, 4, 12411 in descending order.\nAnswer: 12411, 4, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5820 + 5825. Solve 0 = 2*m - b*k + 25, 5*m - 4*m - 3*k = -14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 38*u**2 - 3. Let c be x(38). Let s be (-1)\/c + (-62)\/36. Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962113794.\nAnswer: 2, 3, 160352299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957559533.\nAnswer: 911, 2148803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(9135\/(-58)) - ((-2)\/6)\/((-147)\/41853).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + ((-39 - -51) + -19 - (-4 - 87)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7 = 3*u, 0*f + 14 = f - 2*u. Suppose 0 = k + 4 - 7. Solve -1 = f*h + k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, 4, 0.1, -321.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 15*l + 90. List the prime factors of (l - (-1 - 1))\/(9\/(-321)).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3164, 6325, 9486?\n\"Answer: 3161*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61036 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3282893100 to the nearest 1000000.\nAnswer: 3283000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76) + (sqrt(76) - (sqrt(76) + -1*(sqrt(76) - 1*sqrt(76)) - sqrt(76))))\/(sqrt(96)\/sqrt(6)).\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*c + 361*c - 175*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 49157613?\nAnswer: -147472839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wciiycwwwww. Give prob of sequence wiy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 + 15*r**2 + 8*r**2 + 15*r**2 - 107144*r - 59*r**2.\nAnswer: -3*r**2 - 107144*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -315976*g*i*t - 228576*g*t - 37*i*t + 9*i + 4*t - 122 wrt i.\nAnswer: -315976*g*t - 37*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -213*r + 428. Let w be c(2). Let k(a) = 21*a**2 - 2*a - 1. Let f be k(-1). Suppose -f = w*o - 4*o. What is the remainder when 41 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a7521 + b?\nAnswer: -4a7515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 96854.9708 from -1150.\nAnswer: -98004.9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + d**3 + 2*d + 3*d**2 + 456 - 441 to u*d + i + z*d**2 + w*d**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 36\/131?\nAnswer: 36\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*u + 4*u. Suppose -y + 174 = 161. Calculate the highest common factor of u and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 3*m + 3*m + m**2 + 2*m**2 - 4*m**2 + (3 + 6*m - 3)*(1 - 2*m - 1).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-1 + sqrt(1331))**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 13 = -6*k + k, 3*q + 15 = 3*k. Let o be 4\/42*3\/k. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 68, 2, -29 in descending order.\nAnswer: 68, 5, 4, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 2*h**2. Let b be p(2). Suppose 5*v + b = v. What is the smallest value in v, 5, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 125*p**3 + 134*p**3 - 537*p**3 + 133*p**3 + 126*p**3.\nAnswer: -19*p**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -155.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8433 * 0.1.\nAnswer: 843.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 14*r + 4. Let x be s(8). What is the greatest common divisor of 45 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(99) + sqrt(99)*3 + sqrt(99) - (sqrt(11) + sqrt(704) + -3 + sqrt(704))**2).\nAnswer: -3188 + 117*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 35. Let h(k) = -9*k + 107. Calculate 4*h(t) - 11*o(t).\nAnswer: -3*t + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 3\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 49228520 to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (0 - 8 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130 and 2.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/1271 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.256 - 0.236. Round l to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 - 3*k**2 - 5*k + 3. Let p(b) = 3*b**3 - 2*b**2 - 4*b + 2. Give -2*c(l) + 3*p(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + 4*k**2 + (-3 - k + 3)*(-2*k - 2*k + 2*k) - 5*k**2 + 0*k**2 + 3*k**2)*(0*k**2 - 25*k**2 - 2*k + 63 + 24*k**2).\nAnswer: -4*k**4 - 8*k**3 + 252*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g + 3. Let s(m) = m**3 - 12*m - 4. Calculate -4*p(f) - 3*s(f).\nAnswer: -3*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1a60 (base 12) to base 6\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -144*j - 7632. Give q(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(-14 + (-7 - -13)). Let x(o) = 6*o. Give x(m).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(3 + (-7)\/2). Let v = d + 5. Suppose -v*f = -15 - 10. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 32. Suppose 20*g = s*g - 20. Suppose z - 22 = -g*w - 2, 25 = 2*z + 5*w. Solve -4*m - 13 = -z, -j + 4*m = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 106*w + 92*w - 8413*w**2 + 8427*w**2 - 1 = 0.\nAnswer: -99\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 - (3 + -6 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*u - 50*u + 167*u - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((975\/2340)\/((-14)\/16))\/((-4)\/(-7))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 - 10*y**2 + 46*y + 100. Does 8 divide g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 7*l**2 - 17*l - 17. What are the prime factors of c(-6)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22480, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -123. Let b = -13 + z. Is b*(-1 + 15)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674*b + 82 - 1342 = -1737*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(833) - (sqrt(833) + -2*sqrt(833)*-4) - (sqrt(833) + (sqrt(833) + -4)*-4 - (sqrt(833) - (3 + (sqrt(833) - (sqrt(833) + -4))))))**2.\nAnswer: 1120*sqrt(17) + 13728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n - 3*k, -5*n + 1 = -4*k - 2. Suppose 0 = -5*l - 5*i + 170, 2*l - n*i = 4*l - 65. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(200))\/sqrt(10))\/sqrt(10))**2 - ((sqrt(384)\/sqrt(12))**2 + sqrt(2) - (1 + sqrt(128))).\nAnswer: -29 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 8 = -2*d + 2*y, -5*d = -4*y - 16. Suppose 13*m = 10*m + 39. Suppose d*g + m = g. What is the remainder when 36 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*s**2*x**3 + s**2*x**2 - s*x**4 - 88*s*x**2 wrt x?\nAnswer: 276*s**2 - 24*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13*u = 11*u - 1367. Calculate the remainder when u is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27478 divided by 1249?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 33*u = -38*u - 36, 0 = -3*h + 2*u + 54. Let k(g) = -g**2 + 13*g - 23. Let a be k(10). Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 330 + -326. Solve -3*h - 6 = 4*v, 0 = v + i*v - 2*h - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 3*q**3 + 0 + 1 - 5*q - q**3. Let y be x(1). Put 0, y, 4 in decreasing order.\nAnswer: 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 15697 + 15691 = -l, -4*l + 16 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-2 + 6 - -4) + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 23964.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let x = 11.1 - 11. Let n = x - 3.1. Put -1\/3, n, m in descending order.\nAnswer: -1\/3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:49 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/9)\/(98\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2812, 2954, 3072, 3160, 3212?\n\"Answer: -p**3 - 6*p**2 + 167*p + 2652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2302543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*s**5 + 3522*s**3 - 412105*s**2.\nAnswer: 600*s**2 + 21132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yool when four letters picked without replacement from aneaeeyeooeylae.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 25 = -5*c, -2*h - 23 = -4*h - c. Let o = 202 + -216. Let y be (-710)\/(-45) - (o\/(-18) - 1). Solve -3*u - u + 4*k = -y, -5*u = k + h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5 - 3. Let g = 8 - 8. Let l be g - (-2)\/(-27)*3. Which is the closest to 2? (a) -0.5 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjuu when four letters picked without replacement from {u: 6, j: 13}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 - 2779?\nAnswer: -2806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 2*r - r)*(2*r**2 + 0 - 21*r - 26 + 28) to s + c*r + p*r**2 + m*r**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.3856 days to nanoseconds.\nAnswer: 35111715840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5500.0001113 - -5500. What is r rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 12, 20, 30, 42, 56?\n\"Answer: u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 42159?\nAnswer: 42163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 13*t**2 + t + 30. Let b be o(6). Sort 220, 3, b in decreasing order.\nAnswer: 220, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 39\/(-9))*-9. Suppose -3*u = 4*a - d, 2*u + a - 8 = 6*a. Suppose 3*b + 48 = u*o - 104, -4*o + 152 = 2*b. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - l - 7, 0 = -4*i - 5*l + 4*l + 13. Find the second derivative of 0*n - 18*n - n - 2*n**5 - i*n**5 wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 456\/16*(-2)\/(-3). Suppose -2*c + 2*u - 6 = 0, 0 = 2*c - 4*c - 3*u + l. Solve 2*t - q - 6 = 0, 0*t = -c*t - 5*q + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 9*s**2 + 3*s + 8. Let t be ((-2)\/(-3))\/(1154\/15579). Determine q(t).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44213083724.4+-2.38\nAnswer: -44213083726.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven fifths of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -33, -2.\nAnswer: -33, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-30)\/27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 - 8*g - 6. Let p(b) = b**2 - 8*b + 2. Let a be p(7). Does 15 divide z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/132*1140\/(-15)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 30 + 30 + 5*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3 = 3*j - 3*z, 5*j - 2*z + 17 = 0. Let k(c) = 2*c**2 - 3*c + 5. List the prime factors of k(j).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110121 (base 3) in base 12?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.065 - 0.375. Let i = -1.23 - t. Let y = 0.9199796 + i. What is y rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 42*q - 377. Let y be g(-29). Which is the closest to -1? (a) 2\/3 (b) y (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/4 - g**3 + 3*g**2 + 5*g - 3. Suppose 0 = 2*y + 10. What is the tens digit of c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 2. Give z(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n. Let s(z) be the second derivative of -z**4 - z**2\/2 - 29*z - 1. Calculate w(s(r)).\nAnswer: 48*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127721.\nAnswer: 11, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 661772*x + 0 + 661779*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/3 + b**2\/2 - 2*b - 5. Give v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(343)*2 - sqrt(343) - sqrt(343)) + 5)**2 + 1*(sqrt(63)\/sqrt(36) + sqrt(7) - (sqrt(7) - (sqrt(7) - (-1 + -1 + sqrt(7)))))**2 + -3.\nAnswer: -418*sqrt(7) + 49503\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*w + 4837 = 7*c, -2904 = -3*c - 3*w. Let t = 104 + c. What are the prime factors of t?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-238)\/102*(-182)\/(-49))\/1?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(48\/(-9)) + (-1 - 0)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1064 - 1062. Solve -9\/7*c + 0 - 3\/7*c**r = 0 for c.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347340517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**24*o**9\/o**(-2\/7) assuming o is positive.\nAnswer: o**(-271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-10 + (-19 - -21)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010200002010 (base 3) to base 10.\nAnswer: 1666551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -64.82. Let v = j + 0.31. Let d = -0.50999942 - v. Round d to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2744 - 160.05171067\nAnswer: 2583.94828933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 32 - 12 - 2*r**2 - 22.\nAnswer: -2*r**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 5 = -2*h - a, -5*a + 17 = 2*h. Let m(y) = 2*y + 5. Let v be m(4). Let c be 30\/9*(v + -1). Calculate the greatest common factor of c and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.1 (c) -12 (d) -3\/2 (e) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*p - 8 = p, -p + 5 = 2*a. Suppose 3*x - t - 574 = -a*t, -5*x - t = -954. Is x a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6175471 and 4559?\nAnswer: 599020687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 507821480 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 26112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) 1\/16 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 14 + 2. Let w(i) = i**2 - 8*i + 4. Let c be w(u). Suppose -3*t + 6*n = c*n - 251, -4*t - n + 331 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23701 and 23713 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2269*p**3*r**4 + 578316*p**3 + 2*p*r**4 wrt r.\nAnswer: -9076*p**3*r**3 + 8*p*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 189571456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17176 - -17159.788. What is i rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-13) - 13) + (-22187)\/(-1705)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -931*o**2 - 7224 + 7224 in the form f*o**2 + a*o + h and give f.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-35 + 15 + 8)*(0*q - 4*q + q).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2137604288\/778281 + 10\/111183. Let o = 2751 - x. Find the common denominator of (-1)\/1 - (-447)\/18 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 11*b**2 + 9*b - 2. Let v be i(-8). Find the common denominator of -97\/30 and 1 + 0 - 4\/(64\/v).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-70) + 2\/(-5). Let t = -0.02 - 3.98. Let u = t + 3.7. Which is the smallest value? (a) 3 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20459 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:21 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1676*z - 1712*z + 7632 = 0. Calculate the greatest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 20*j**2 + 233*j + 3639. Calculate d(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61\/10 + -8\/5. Let l = -3128\/3 - -1043. Is l >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = -25. What is the greatest common factor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2 + 418*w - 1774. What is h(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -103.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0.2092583, -3, -0.4, 4 in descending order.\nAnswer: 4, 5\/2, 0.2092583, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 4 - 4*u**3 - 18*u**2 - 21*u**2 + 2 - 9*u.\nAnswer: -4*u**3 - 39*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 263 - 258 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -328.19 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5)*(-6 + 11)*222247 - -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*n + f + 3, 3 = 3*n + 2*f. Let o = -2\/3 + n. What is the biggest value in -2\/9, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = -5*l - 4*g, 283 = 2*l + 2*g + 3*g. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i**3 - 8*i**4 - 27*i + i**5 + 27 - 6*i**4 + 21*i**4 - 18*i**2 = 0 for i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0 + 26 - b + 17 - 21*b**3. What is the first derivative of j(n) wrt n?\nAnswer: -126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 96 = 2*p, 3*p + 2*j = -j + 144. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -14214?\nAnswer: 14211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - s**3 + 425 - 225 - 190.\nAnswer: -5*s**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -9*w**5\/2 + 537*w**4\/2 - 1428*w**3 + 2796*w**2 - 2280*w + 648 = 0.\nAnswer: 2\/3, 1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(104))\/sqrt(8).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 14, 5, -3, -4 in decreasing order.\nAnswer: 14, 5, -3, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1239171 divided by 413057\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -28759.7613 to the nearest integer.\nAnswer: -28760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 152735?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(50) + (sqrt(350) + sqrt(350)*1)\/sqrt(7))) + sqrt(350)\/sqrt(63).\nAnswer: -25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q - 4*u + 10, q = -4*u + 22. Let w be (-103944)\/(-45) + (-5)\/((-225)\/q). What is w rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -36. Suppose -22 = -w - 3*o, 6 = -y*w + o + 68. Suppose 0 = 5*n + 6*l - 3*l + 28, -4*n + 4*l - w = 0. Which is smaller: n or 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(153)*2)**2 + 2.\nAnswer: sqrt(17) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 197, 190, 185, 182?\n\"Answer: p**2 - 10*p + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 42 - 24 = 5*w, 5*w - 3*t - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 384*j**2 + 3*j + 7. Is q(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.943929 centuries to months.\nAnswer: 1132.7148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*x**2 - 3)*(-10 - 47*x**2 + 24 - 17 + (2 + 1 - 4)*(2 + x**2 - 2)).\nAnswer: 96*x**4 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0675818 to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/5 (c) 0.2 (d) 1\/8 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20470107 less than -0.025?\nAnswer: 20470106.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -858 + 858.417. Let m = h + 0.683. Which is greater: 1\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 7*w**5\/2 - 687*w**4\/2 + 16883*w**3\/2 - 229*w**2\/2 - 27195*w + 19208 = 0.\nAnswer: -2, 1, 8\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:48 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-2733 - (-5 + 4))*(-80)\/(-64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 + 4*v\/11 + 16\/11.\nAnswer: -2*(v - 4)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + 6 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -200*h**5 + 113*h**5 + h**4 + 106*h**5 - 32*h**5 - 29*h**5 + 62*h**5 - 6*h**5 + 2*h**5 + 2*h**5 + (2*h**3 - 4*h**3 + 0*h**3)*(-4*h**2 + h**2 + 4*h**2).\nAnswer: 16*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = -2*n + 64. Solve 5*b - n = b, o = 4*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 2*v**2 - v**2 + 8*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895531289.\nAnswer: 7, 907, 456061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-8)*-3*(4 + -6). Calculate the common denominator of (-177)\/(-24) + (-5)\/(l\/(-9)) and -23\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 3, c: 7, d: 1}. Give prob of sequence fc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgixegixqgqgigi. What is prob of sequence qeiq?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtjt when four letters picked without replacement from tttttjttttgttttttt.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x. Suppose 3*h - h - 4 = x. Let w = h - -3. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-32)\/(-12)) - (-2)\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let m(n) = -1. Suppose -2*a + 3*a - 3 = 0. Let y(t) = 3*t + 3. Let d(i) = a*m(i) + y(i). Give k(d(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 60*g**2 - 771*g - 100. Determine c(41).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*12 - 128\/24.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252620*v**4 - 240*v**3 - 8793*v + 56 wrt v?\nAnswer: 3031440*v**2 - 1440*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.499954 + 1.5. What is c rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/36*45\/(-65)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85050 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 4*b + 3. Let a(f) = 10*f**2 - 13*f + 10. Let y(o) = 2*a(o) - 7*w(o). Let v be y(1). Solve 2*i = -v*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (352\/24 - 10)\/(2\/(-6)). What is the remainder when (-17304)\/(-147)*i\/(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.563, 0.05, -766, -1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 0.18. Let s = -2 - i. Let g = 1.736 - -0.264. What is the nearest to g in s, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308390 by 3.\nAnswer: 308390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**2 - 3*b + 228. Let s(w) = -8*w**2 - 5*w + 244. What is -2*s(q) + 3*z(q)?\nAnswer: -5*q**2 + q + 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4108, 16533, 37252, 66241, 103476, 148933, 202588?\nAnswer: 264417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/((u\/(u\/((u**7*u*u)\/u)))\/u)))*u)\/u*u**(-1\/3))\/(u**8\/u**(-5\/4)) assuming u is positive.\nAnswer: u**(-187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:23 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uanummp. What is prob of sequence uau?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 33*r**3 + r**2 - 5*r. Let w be l(-10). Let i be (-266965)\/w - (-1 + 5\/3). Let p = i - 26\/365. Find the common denominator of p and -37\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16505, 16544, 16583?\nAnswer: 16622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 97*u**2 + 827*u - 2591. Calculate m(88).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -19217964?\nAnswer: -2\/4804491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6230214 and 111.\nAnswer: 691553754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-16) - (-10425)\/400. Let z be (1042\/(-7111) - (-4)\/b)\/(-6). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 7. Let h be f(-7). Suppose h = 4*i - 7*i. Round i to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 5*h - 3. Let s be u(-3). Let t = -22 - s. What is the remainder when 20 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 3*u**2 + (-2*u + u + 0*u)*(-5*u + 8*u + u) - 2*u**2 + u**2 + 4*u**2 + u**2 - u**2 + 4*u**2 as v*u + l*u**2 + t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 11*o - 1340. Suppose -g = o - 115. Solve -f + j = 2*f - g, 5*j = -15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 divided by 66834?\nAnswer: 35\/7426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46550, -46804, -47058?\nAnswer: -47312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*l - 12*l**3 + 12 + 4 - 16 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 564245496*g + 39796622469535752.\nAnswer: 2*(g - 141061374)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/3)\/((-32)\/48). Calculate the remainder when ((-2400)\/18)\/i + (-4)\/(-12) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214241, -856608, -1927227, -3426092, -5353197, -7708536, -10492103, -13703892?\nAnswer: -17343897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0333308 millilitres in litres?\nAnswer: 0.0000333308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g. Suppose g = 2*t - 6*t + 180. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*o + 4. Suppose 0*z = o*z. Let p = 31 - 23. Solve 3*a - v - 16 = z, -4*a + p*a = -4*v + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 197 + 25 = -150 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38584811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (-405)\/20)*76?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60748 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -78, -167, -292, -453, -650?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 2, -43\/12142 in descending order.\nAnswer: 2, -43\/12142, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 81 = -227589*r + 227586*r, 0 = -2*z - 5*r - 148 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b**2 + 11. Let y(f) = -3*f**2 + 2. Let n(a) = -2*j(a) + 11*y(a). Let l(i) be the third derivative of i**4\/12 - i**2 - 22*i. Calculate n(l(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4188*w**2\/5 + 52396076*w\/5 - 100088\/5 = 0. What is w?\nAnswer: 2\/1047, 12511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-16) - ((-1817784)\/192 + -20)?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5777, 23090, 51953, 92366, 144329, 207842, 282905?\n\"Answer: 5775*n**2 - 12*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605192093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9740340 a multiple of 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let h(v) = -v**2 - v. Let x(w) = 2*w**2. Let m(y) = 3*h(y) - 6*x(y). Determine m(a(f)).\nAnswer: -15*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 56, 9, 3, -5, -403 in decreasing order.\nAnswer: 56, 9, 5, 3, -5, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/120 - 11*h**5\/30 + 23*h**4\/24 - 47*h**3\/6 - 486*h**2. Give u(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-1)*10\/(-15). Let s be (-21)\/6 + 1\/2. Let q be (-1)\/(s\/(-6)) + 2. Solve 0 = a - v*r - 19, 2*r + q*r + 5 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -442 - 0?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 624747.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-80)\/(-50)) - 6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a century in decades?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 76 = -4*k + 3*m, 5*m - 110 = -5*k. Suppose k*d + 8 = 14*d. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17561*-0.2\nAnswer: -3512.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73503175 to three dps.\nAnswer: 0.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/326 in -2\/9, -1, -0.06, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*(-3 + 4). Let s be 6*9\/2*3. Let w = s - 403\/5. What is the nearest to w in k, -2, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 79.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 87. Sort -2\/3, -14\/3, s in descending order.\nAnswer: s, -2\/3, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 16 = -7792. Let c = -77823\/10 + b. Let s = -51035\/15204 + -1\/2172. Find the common denominator of c and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u + 11. Let o = 8 + u. Solve -3*a - o*s = -s + 4, 0 = -4*s - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -881494994 + 881495033.0000001. Let d = 39 - y. What is d rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = y - 4, f - 5*y - 10 = 2. What are the prime factors of ((-7)\/(-2) - 3)*f - -42?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183891 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11097?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + ((sqrt(468) + 1)*6)**2)*3.\nAnswer: -304002 - 7776*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b - 4. Let j be -3 - (-2 + -5 + 0). Suppose 0 = -t + j*t - 6. What is the smallest common multiple of k(-6) and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - z - 8, 2*z = -2*z + 4. Suppose -4*i + 7 = -l. Suppose 0 = -i*w + 3*w - 7100. What is w rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 divided by 2931\nAnswer: -194\/2931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27869.71 micrograms?\nAnswer: 27.86971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -2056) + (-11 - (-7 - -2))?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.1957 plus -0.06702433?\nAnswer: -362.26272433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1842439*g**5 + 3124007*g.\nAnswer: -36848780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nrrn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/17, 4, -7\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 12. Let c(h) = h - 3. Let j be c(m). Suppose -2*a + 6 = 4*o - 14, 45 = 4*a + j*o. What is the least common multiple of a and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 1 - 9. Let t(l) be the second derivative of -2*l**3\/3 + l**2\/2 + 3*l. Let g be t(1). Put g, r, 0 in increasing order.\nAnswer: g, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1327720414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24600, -24588, -24544, -24456, -24312, -24100, -23808?\nAnswer: -23424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28862 (base 10) in base 16?\nAnswer: 70be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -67, -69, -39, 23?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3334204 and 55014366.\nAnswer: 110028732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3922, 3923, 3922, 3919, 3914, 3907?\n\"Answer: -o**2 + 4*o + 3919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -429*m**2 + 42*m - 10. Let g(s) = 107*s**2 - 10*s + 3. Give -17*g(q) - 4*l(q).\nAnswer: -103*q**2 + 2*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Find the third derivative of 2*c**2 - c**l - 2*c**5 + 2*c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 + 33 = 0. Suppose -3*p - 105 = -q, -x*q = -3*q - p - 567. Calculate the remainder when q is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 113035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511 - 1027\/2. Sort 2, l, 3\/8 in descending order.\nAnswer: 2, 3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) -2\/13 (c) -0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 96 = -15*s - 12*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.58 - -0.08. Let w be -1 - 2*26\/(-60). Let h be 4\/(-6) - 5\/(-6). Which is the smallest value? (a) f (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*y**2 + 1605164*y - 356704.\nAnswer: 2*(y + 89176)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-250)\/6 - -1)\/(58\/174). Let l = 126 + d. Solve -b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/4 - 4*y**3 + 5*y**2 + 16*y + 3. Let n be g(11). Suppose -n*i - 5 = -6*i. What is the lowest common multiple of 4 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*c = 7, 2*q + 2*c + 9 = 47. Is (53052\/30)\/(6\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3364564 (base 7) to base 9\nAnswer: -708321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 68, -0.5, -0.4, 0?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 6*k + 6. Let w = -110 + 112. Suppose -w*h = 2, 5*g + 2*h + 0*h = 28. Suppose g = 3*q + 27. Calculate p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 + 10*i**3 + i**3 + (2*i**2 + 0*i + 0*i)*(-2*i - 3*i + 6*i) - 264*i - 53*i**3 + 264*i + 0*i + 2*i**3 + 0*i.\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.8 - -16.8. What is the closest to -5 in 4, u, 1, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333913 = 22*m - 20*m + 3*c, 4*m - c - 667819 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -29*o**3 + 214*o**2 - 244*o - 5. Calculate j(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 36*u - 117 + 601 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f96a3 (base 16) in base 5?\nAnswer: -1244300010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 625 + -4?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 35761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u = -5*i + 50, 0 = 2*i - u - 20. Let x = i + -10. Suppose 5*z + 825 = 5*p, x = 2*p + p - z - 497. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406014 = 5769*g + 118965 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -22. Let g = u + 46. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k**2 + 2*k - 7. Let v be q(3). Let l be v + (-2)\/((-6)\/(-9)). Solve -2*j + 4*b = -l, 2*j - 5*b = 3*j + 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = -3*v, -2*v = 4*s - 13 + 1. Suppose 10 = -3*a + 5*d, 4*a - 9 = -s*d + 36. Is 4 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*u. Suppose u*g - 19 = -5*c, -5*g - 4*c = -c. Let k be 90\/(-27)*g*13. Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152 * 2824.\nAnswer: 429248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/2)\/(-2) - -2. Let 4*q**2 - t*q**4 + 0*q**2 - 24*q**3 + 49*q**5 + 12*q**4 + 12*q**4 = 0. Calculate q.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*f - 7 = -87, 4*f = -2*c + 40. Solve 0*t - 3*t - c = 0, -t + 16 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12559*k + 8 + 1 - 6 - 4 + 0.\nAnswer: 12559*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**3\/4 - 2823*f**2\/4 - 8376*f - 13935 = 0.\nAnswer: -929, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 8*p - 5. What is b(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12267 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 20, -1 in descending order.\nAnswer: 20, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - -35?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -979895946*a**3*v**2 + 58*a**2*v + 7724684*a*v**2 wrt a.\nAnswer: -5879375676*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585404?\nAnswer: 2, 3, 47, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -10\/3*c**3 + 0*c + 2*c**2 + 0 + 5\/12*c**4. Differentiate f(t) with respect to t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**7\/98 - 3*w**5\/35 - w**4\/14 + 3*w**3\/14 + 3*w**2\/7 - 8*w. Factor c(u).\nAnswer: 3*(u - 2)*(u - 1)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 189, 0.1, -1?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -53088, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 14, w: 2, o: 2, c: 1}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -39.9. Let d = -2723.5 + 2683.454. Let r = g - d. Round r to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*d - 14*d + 4*d**2 + (-4*d + 3*d + 3*d)*(-3*d + 3 - 3) - 8*d + 8*d - d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 17*b**2 + 2*b + 5. Calculate h(8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 179089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + a = 15, 3 + 6 = 3*m - a. Solve 0*h = m*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37373 divided by 5339?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2887 + -2887.3. Which is the nearest to 1\/3? (a) -0.26 (b) 2 (c) -5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4836?\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16697 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.3819, -2\/13, -5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 313*a + 5. Let s = 35 - 30. Let l(j) = -j**2 + 3*j + 12. Let o be l(s). Is x(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3085601 * -0.24\nAnswer: 0.074054424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5117 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**20))**(-30))**(1\/17) assuming g is positive.\nAnswer: g**(600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -762*r + 380*r - 48 + 378*r + 5 to j + i*r and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-100)\/(-345))\/5*(-3)\/(-2). Suppose -j - 2*j + 4*d - 15 = 0, -11 = 2*j - 3*d. Which is bigger: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**2 + 0 - 2\/15*t**5 + 0*t + 5\/24*t**4 - t**3. Suppose -3*o - 1 = -19. Let d(y) = -y**2 + y - 1. Give o*d(u) - h(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 3*u - 3. Let x(z) = -z**2 - 5*z + 5. Let l(n) = -5*g(n) - 3*x(n). Let t(p) = -5*p**2. Give t(l(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62867 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -83886.\nAnswer: -1\/83886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/(43 - 21)*2\/(12\/3). Let a(u) = u - 2. Let y be a(0). Let d be (-3)\/6*(2 + y). What is the nearest to -0.1 in d, -3, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239 divided by -3\nAnswer: -239\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 20. Let u be l(-19). Let h(n) = n**3 + n. Let j = -4 - -3. Let o(f) = f + 1. What is j*o(b) + u*h(b)?\nAnswer: b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -63330 to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 16*l - 36. Let q be k(-20). Suppose 9*f = 7*f + q. Solve 0 = -20*s + f*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68810969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by ((-1)\/(-3))\/((-2)\/(-426)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3883 - 3887. Let t = -51543\/61 - -845. What is the biggest value in t, h, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Suppose -3 = 2*i - 9. Let g(p) be the third derivative of 0*p + 0 + p**2 - 1\/6*p**4 + 0*p**i. Calculate b(g(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26832370 + 5?\nAnswer: 26832375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**(-25)*g**(1\/7)*g**(-5))\/(g*g**(-1\/2)*g\/((g\/g**1)\/g)*g)**(5\/12) assuming g is positive.\nAnswer: g**(-2461\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(1 + ((-304)\/12 - 0)). Let j = 80 + m. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 5*l**4\/24 + l**3\/6 + 76*l**2. What is k(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + 19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -3*h**8\/56 + 4*h**4\/3 - 14*h. What is the third derivative of r(a) wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6373.003 + -6365. Let b = -5 - 3. Let r = b + m. Round r to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 16) to base 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.221 and 5?\nAnswer: 16.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 + 3\/8*h**5 + 6*h**2 + 16*h - h**3 - 3\/4*h**4 - 1\/20*h**6. Factor l(r).\nAnswer: -3*(r - 2)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075963 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.43 in -0.2, -2.3339, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by 2021?\nAnswer: 98\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 781355543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -336 + 335.203. Let j = m + 0.8. What is j rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 1008 = -990 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1492710, 2985437, 4478166, 5970897?\n\"Answer: p**2 + 1492724*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33.6 and -0.2103?\nAnswer: 33.8103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a year in months?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s + 81 - 171 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, -1\/5, -4, 5, 0.1, -42732, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/3))**(6\/17)*y**0\/(y*y**(3\/7))*(y*y*y**(-1))**(16\/11)*y**(-2\/3)\/(y\/((y**3\/y)\/y*y)) assuming y is positive.\nAnswer: y**(1873\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q\/(q\/q**(4\/9)*q))\/q)*q*q)\/(q**(6\/11)\/q)*(q**(-9))**(2\/19))**(-15) assuming q is positive.\nAnswer: q**(-28805\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 - 4*g - 1. What is o(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (0 - 2) - 4. Let t = 0.46 + -4.06. Let a = 4 + t. What is the second smallest value in x, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -6. Let s be ((-8)\/(-6))\/(y\/12). Solve 0 = s*h, 3*h + h + 2 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8065*d + 8057*d = 104 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - 26*w = 250 - 6916 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 3*w**2 + 13*w - 7. Let z be l(5). Suppose 0 = z*m - 10*m - 32. Let f be 4\/(m\/(-30))*720. What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11420, -11588, -11754, -11918, -12080, -12240, -12398?\nAnswer: -12554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-2)\/102*-23. Let n = y + 355\/187. What is the second smallest value in n, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*g + (-3 + 2 + 5)*(46*g + 804 - 804).\nAnswer: 186*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -986*g**2*h**3*w**3 + 6*g**2*w**3 - 4*g + 3*h**3*w - h**2*w - 2*h*w**3 - 20*w**2 wrt g.\nAnswer: -1972*h**3*w**3 + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 181. Which is greater: 76 or k?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 (base 12) in base 5?\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 57. Let l be g(-15). Suppose 250 = l*n - 47. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1436\/8*12\/(-18). Let n = -121 - z. What is the second smallest value in n, 4, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23417 is divided by 23219?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:40 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffud when four letters picked without replacement from {f: 2, v: 2, d: 4, h: 2, u: 1, q: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -46. Let h = 0.022 - 22.022. Let c = h - d. What is the second biggest value in c, 0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -11, -4004, 0, 8 in descending order.\nAnswer: 8, 2, 0, -4, -11, -4004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 293, 334, 331, 284, 193, 58, -121?\n\"Answer: -22*m**2 + 107*m + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, n: 4}. Give prob of picking 2 j.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:06 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 1 - 1 + (-1 - 1 + 3)*(4*y**2 - 5*y**2 + 0*y**2) - 2*y**2 + 5 - 5 + (-2 + y + 2)*(2*y - 3*y + 2*y) to t + k*y**2 + v*y and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/13 - (3 + -5). Let a(l) = l**3 - 7*l**2 - 8*l - 1. Let b be a(8). Is w > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -4 - -1) + 1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 3:56 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 86768696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7783.3 - 7249. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -d - 3*m + 7, 2*m = 2. Suppose -5*w - 11 + 1 = 0, -d*w = -2*y + 12. Suppose -5*t - 843 = -5*z + y*z, 0 = -z + t + 420. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 - 3*n + 3. List the prime factors of p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5. Let q(n) = n + 6. Suppose 0 = -5*d + p + 13, 4*p = -3*d - 150 + 144. What is d*f(c) - 3*q(c)?\nAnswer: -3*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - o - 57 + 22, 3*d + 5*o = -22. Let h = -5 - d. Suppose -4*r - 2*t + h*t + 30 = 0, 0 = 5*r + 3*t - 21. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325 - -327. List the prime factors of (-1 - 36\/(-20))\/(f\/635).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 2. Let z(h) = h**3 - 4*h**2 - h + 3. Let d be z(4). Suppose 2*f - 10 = -3*r - 1, -4*r = -f - 12. Let w(s) = 0 + 4 - 3. Give d*g(t) + r*w(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1 - (2472\/(-96) - (-95)\/(-76)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 7*m**2 + 7*m - 3. Let r = -16 + 11. Let i(f) = -f**2 - 5*f + 4. Let u be i(r). Let g(a) = 2*a**3 + 4*a**2 - 4*a + 2. Give u*k(o) + 7*g(o).\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -473 - 147. Suppose -5*a + 34 = -r + 3*r, 5*a - 5*r - 20 = 0. Is 28 a factor of a\/(i\/(-56) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -805445*t**3 + 15*t**2 + 21*t - 358.\nAnswer: -4832670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 - i**2 - 4. Let b(o) = 24*o**2 - 103*o**2 - 10*o**3 - 3 + 21*o**2 + 28*o**2 + 29*o**2. What is -4*b(s) + 3*t(s)?\nAnswer: 13*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.07, 111, 1\/10, -1\/5, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 14. Calculate the remainder when k is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2 - 23. Solve 20 + 0 = p*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14 (b) 0 (c) -2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjw when four letters picked without replacement from {w: 2, j: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -142176979589 minus -2.91?\nAnswer: -142176979586.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00198299732 to six dps.\nAnswer: 0.001983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 98 = 9*u. Let m = u - -14. Solve 13 = 2*l + 5, 5*c + l - 14 = m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -71077, -76199, -81321, -86443?\n\"Answer: -5122*y - 65955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*r - 8819, -s + 11948 = 4*r - 5669. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -958.\nAnswer: -1\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -222, -447, -676, -909, -1146, -1387?\n\"Answer: -2*a**2 - 219*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2101815269720 and 1.5.\nAnswer: 2101815269721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3459 and -55\/20061.\nAnswer: 23130333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let k = 11 - -9. Solve k = -h - j*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.065 - 0.159751602\nAnswer: -0.094751602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 57973624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m + 62. Calculate p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 3*t**3 - t**2 - 2*t + 0*t**3 - 2 - 4*t**3. What is a(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -560 - -787. Suppose 0*k + k - v = -4*x, 2*x - 671 = -3*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*14432\/(-2952).\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 180 = 8*m. Let o be ((-6591)\/(-6))\/(2*(-3)\/m). Let v = -7822 + o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -68.3.\nAnswer: 20.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 5*n**2 + 6*n + 7. Let y(r) = -r**3 + 4*r**2 + 5*r + 8. Let g = -47 - -49. Let v(x) = g*y(x) - 3*z(x). Calculate v(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 + 4*t + 5. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2\/33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 - 4*w**3 - 675*w**2 - 2150*w wrt w?\nAnswer: -40*w**3 - 24*w - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -3 + 3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 140 = -3*a. Suppose -a = -2*f + 5*z, 3*f + 2*z + 1 = 6. Solve 8 = l + f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 11*d - 31. Determine i(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 - 2*o**2 - 5*o**3)*(1 - 1 - 2) + o**3 - 2*o**3 + 3*o**3 + (-2 + 2 - o)*(3*o**2 + 3*o**2 - 3*o**2) as p + r*o**3 + u*o**2 + b*o and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(10\/3) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/7)\/(110\/(-88))*(-14)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*z + 18, z - 4*z = 12. Let t be 7\/o + (-9)\/(-18). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*-16 + (-32)\/8. Let d(z) = -5*z**2 + 6 + 3*z**3 - 6*z - 2*z**3 + 2*z**2. What is d(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**7\/1260 + s**6\/360 - s**5\/30 + s**4\/2 - 6*s. Let z(f) be the third derivative of b(f). Determine z(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*p + 139*p + 57*p - 55*p in the form b*p + f and give b.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 23. Suppose -4*z = -2*z - 6. What is the remainder when z is divided by y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/14)\/f*f)**5 assuming f is positive.\nAnswer: f**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*c = -30, -4*c + 3 + 13 = 0. Suppose -143 = -d*x - 15. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -802 in -26, -3, -4\/7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-6 - -5) - 3. Suppose -2*p - b + 29 = 3*p, 3*b - 37 = -5*p. Solve -w*f = -2*u - 20, p*f + 0 = 3*u + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196779 is divided by 447?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 296568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24 + 26 + 9 + 2. Solve 26*b = n*b + 210 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -410239282*f*n**2 + 2*n**2 + 34344540*n + 6 wrt f.\nAnswer: -410239282*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318161660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 26*w. Let z = -162813 - -162943. What is the least common multiple of z and v(4)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*g - 7*g + 24, 0 = -3*l + g + 20. Suppose -s - l*s = 0. Let z = 29 + -9. Solve s = 5*p - 0*p - z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 4. Let o(q) = -7538*q + 1506*q + 1505*q + 1516*q + 1509*q + 1506*q + 7. Let k be (1 + 1)\/(4\/(-6)). Give k*o(l) - 5*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, x: 5}. What is prob of picking 3 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.3. Let m(u) = -u**3 - 3*u**2 + u - 3. Let l be m(-3). Let s be 0 + 3*4\/l. What is the second smallest value in h, 1\/2, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 326?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 1264729584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 215976\/(-72)*(-603)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2171 + -686. Does 58 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24\/(-16)*462\/(-9) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/4 + 3*h**3\/4 + 3*h**2\/4 + h\/4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 12) in base 10?\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.378031 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -82, -1 in increasing order.\nAnswer: -82, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 98, 5.\nAnswer: 2, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*g + 26, 2*g - w - 2 = -2*w. Let z = 9 - 1. What is the lowest common multiple of -3 - -1 - g*-4 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**4 + 22*u**3 + 79*u**2 + 32*u - 121. Let q(b) = -2*b**4 - 22*b**3 - 78*b**2 - 32*b + 122. Let n(f) = 6*m(f) + 7*q(f). Let n(z) = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {c: 6, k: 2, j: 4, w: 4, z: 4}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27492?\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36472600 to the power of 1\/2, to the nearest integer?\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h**3 - 25*h**2 - 5. Let n(s) = -5*s**3 + 13*s**2 + 3. Let w = -3 - 0. Let l be (-5)\/(2\/8*4). Let j(k) = l*n(k) + w*i(k). Solve j(b) = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -18\/23 (b) -5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/6*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 + 82*p + 1156. Calculate m(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = 8. Let l(o) = 18*o**2 - 2*o - 1. Let b be l(k). Let z = -9 + b. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286.082 years in millennia?\nAnswer: 6.286082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7922\/15 + (-278)\/2085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*d + 68, -131 = -70*d - 61*d + 126*d - 10*r + 12*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -2*m - 3*p, -6*m + 3182*p - 1594*p = 1591*p + 255 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200230 + -3230014?\nAnswer: -3430244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejeq when four letters picked without replacement from {q: 6, e: 3, n: 5, j: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 182. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -4 (c) 2\/39 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010101111001111111 (base 2) to base 14.\nAnswer: 313c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910626 is divided by 129.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641043369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 638 = -4*k, 2*f - 4*k + 7*k - 258 = 0. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (18 - (7 + 6)). Put w, -2, -283 in descending order.\nAnswer: w, -2, -283","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, -2 in increasing order.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046086.\nAnswer: 2, 23, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1438, -3, -1\/2, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0.1438, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460\/(-46) - 27224\/(-2610) - (-116)\/(-261).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12281604*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2.606.\nAnswer: -10.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*c + 20, 2*r - 14 = -3*c + 3. Suppose 4*n = 3*n + r*l + 5, -l = -4. What is the remainder when 74 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-7)\/t)*t*t*t*t*(t\/t**(-1))\/t*(t**(-2\/7)*t)**(-11\/3) assuming t is positive.\nAnswer: t**(218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134*d + 12 = 2132*d - 4*z, -2*z = -13*d - z + 57 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 12*l + 4. Let p be c(12). Suppose -p*k - 5*v + 218 = 0, -4*v + 1 = -7. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -29*x - 149. What is the units digit of s(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 + 0 - 3*i**3 + 0*i**3 - 3*i**3 - 17*i**3 + 2*i**3 + 0*i**2 + 0*i**2 + (2*i + 0*i - i)*(-2*i**2 - i**2 + 4*i**2) + 3*i**3 + i**3 - 2*i**3.\nAnswer: -18*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5651, -45562, -154117, -365708, -714727, -1235566, -1962617, -2930272?\n\"Answer: -5732*i**3 + 70*i**2 + 3*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474 is divided by 151?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a**2 + 3)*(1 - 2 - 3)*(-2 - 4 + 0)*(0 + 0 - a).\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2531 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*d**3 + 77*d**3 - 3*d - 158*d**3 + 3*d**2 + d**4 + 4 - 2*d to the form l*d + v*d**2 + s*d**4 + r*d**3 + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093*x**3 + 218 - 218 - 5037*x**3.\nAnswer: -6130*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.8 + 56176.72.\nAnswer: 56113.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -358*j - 2238. Let y(r) = -2*r**2. What is l(y(h))?\nAnswer: 716*h**2 - 2238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 1. Let l(m) = 0*m + 12*m - 3 + 0*m**2 - m**2. Is l(a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 3, -206?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c + 11*c - 30*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 205508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 778*n + 375. Calculate j(-1).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 10) in base 11?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396)*2*-2 + sqrt(396))\/(sqrt(9) + (sqrt(9) - -1*sqrt(1296))))\/((((sqrt(400)*-1 - sqrt(400)) + sqrt(400))*-5 + sqrt(400))*4))**2.\nAnswer: 11\/1254400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143.28078 rounded to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.33, -2\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 7 + 2 + n - n**3 - 11.\nAnswer: -(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9*r**4 + 63444*r**3 + 149065200*r**2 + 116701470000*r - 77867250000 = 0?\nAnswer: -2350, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 17605*p\/3 + 35198.\nAnswer: (p + 6)*(p + 17599)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**4 - 656*n**2 + 48*n - 555?\nAnswer: 36*n**2 - 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1466438 and 1916428?\nAnswer: 5294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(4\/(-12)). Let a(i) = 2*i + 1. Let d(b) = -6*b - 3. Let g(p) = 2*a(p) + d(p). Let q be g(j). Put q, 29, 0 in descending order.\nAnswer: 29, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37, 1, 4, -1, 2763, 0 in ascending order.\nAnswer: -2, -1, 0, 1, 4, 37, 2763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 201 (b) -54.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:34 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 293801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5535\/81 - (-1)\/(-3). Suppose -x*n = -62*n - 12. Solve 2*d + n*d + 16 = 0, 5*y + 4*d + 31 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190)*-1)\/sqrt(5))\/(sqrt(72)*2 - sqrt(72)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (416\/5)\/(5834988\/(-1458750) - -4). Round p to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034884 rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220010 and 30639760?\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(112) + (-1*sqrt(112) - sqrt(112)) + sqrt(112))*-6)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*47927\nAnswer: 47927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 3) in base 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -b7b?\nAnswer: b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 33 + 16)*(2 + 0 - 1)*(i - 2*i**3 - i + (0*i - i + 0*i)*(i**2 - i + i)).\nAnswer: 117*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 2*c + 1. Let t be o(-2). Suppose -4 = 5*a + 6. Calculate the lowest common multiple of 6 and 4 - a - 3*t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359 minus 0.2?\nAnswer: -1359.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 12*k**2 - k - 2. Let o be d(-6). Suppose o*t - 203 = -b, b = 6*b + 2*t - 943. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 2*v - 2 + 7*v**3 + 3*v - 6*v**3. What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0864 + 0.4864. Suppose -z = -4*h - 19, -3*h + 3*z - 4 - 17 = 0. Sort v, -3, 2\/9, h.\nAnswer: h, -3, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 2:25 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 129984 and -88.\nAnswer: 129896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98971 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 + 2*g - 2. Let d be b(-2). Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1859? (a) -1\/7 (b) 19 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 14952 = 44*n. Let c = -336 - n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = 2801 - 2781 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/2, 37, 0, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11176 and 56.\nAnswer: 78232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-1) + 23 + 1\/1. Calculate the highest common divisor of z and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2*-30)\/((-205)\/(-451))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**6\/90 + z**5\/15 - z**4\/6 + 11*z. Let s(h) be the third derivative of r(h). Differentiate s(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/239 - 488\/1195. Let v be 1 + (-380)\/6 - 3. Let d = 64 + v. Sort -1\/6, d, y in decreasing order.\nAnswer: -1\/6, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -485 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -775 and 0.07625614.\nAnswer: -774.92374386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 126082603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*x + 168, -5*c = -x - 0*c - 42. Does 17 divide (376\/6)\/((-28)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose 2*y - 3*p + 5 = 0, 0 = -5*y + 4*p - 0 - m. Suppose 0*t + y*t = 16. Solve 4 + t = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 12. Let j be k(15). Let g = j - -132. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -q - 1256, -407 = -x - q - q. Suppose 20*o + x = 23*o. What are the prime factors of o?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 5. What is the first derivative of -d + 2 - 5*y**4 + 7 wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 8*a + 28. What is the remainder when f(12) is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1734)\/153)\/(30\/405*(-6)\/2*-1)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19991810 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-12)\/((-360)\/(-170)) + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000376129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.003 + -5.077. Let y = -0.02 - -0.1. Let x = y + l. Sort x, 3, -0.1 in ascending order.\nAnswer: x, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5222, 4130, 3038?\n\"Answer: -1092*f + 6314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 109 in decreasing order.\nAnswer: 109, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let q be y(-5). Let f = 9 + q. Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -34, -4, -171 in descending order.\nAnswer: -2, -4, -6, -34, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {i: 1, j: 2, c: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89595?\nAnswer: 3, 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/20))**(1\/33)*(y\/y**(1\/18))\/(y*y\/y**(28\/9)*y) assuming y is positive.\nAnswer: y**(2159\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 20 = 7*t. Let g = 0 + 0. Suppose g = -p + t*y + 2 + 2, 4*y + 45 = 3*p. Calculate the remainder when 55 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82606556 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15868 is divided by 3967.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1401*h**3 - 1584?\nAnswer: -4203*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**3 + m**3 - 2 + 3*m**3 + 3*m**3 + 3*m in the form t*m + w*m**2 + y + n*m**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8.8. What is the nearest to h in 1, -5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.6 * -193080.\nAnswer: -10156008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 1. Let w(k) = k. Give -2*b(i) - 18*w(i).\nAnswer: -16*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 46 - 6 + 1049*p)*(8*p + 7*p**2 - 8*p).\nAnswer: 7343*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0 (b) -2\/19 (c) -2 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33189 and 23088?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26233831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/169246 and 97\/2352.\nAnswer: 4061904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.31 + 0.3. Let z = -2.99 + b. Let u = -5.1 - -5. Is u >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4, 0 = -820*s + 817*s - b + 6287. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -121. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 942 = -137. List the prime factors of h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = l + 5*s, 9*l = 7*l - 3*s + 128. Let m = -59 + l. Suppose -a - 5*h = -6*a - 15, 5*h = -a + 15. Put 3, a, m in descending order.\nAnswer: 3, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + -0.33. Let s = -0.088 - -0.098. What is the third smallest value in p, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 b when four letters picked without replacement from fbkfkfkkkkkftfff?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 8495 = -11107. What is the highest common divisor of k and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -300*w**3 - 4*w**2 - 63*w + 131. Determine k(2).\nAnswer: -2411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*c - 7*c. Suppose 4*f = c, x + 2*f + 0 - 8 = 0. Suppose -2*r + 3*h + 2 = x, -h = 5*r - r + 10. Let w(d) = d**2 + 1. What is w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020110111120 (base 3) to base 7\nAnswer: -5412162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19549 - 19551. Sort -3, 3, 1, x, -7 in descending order.\nAnswer: 3, 1, x, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*j + 45, -h - j + 2 = 15. Does 7 divide (-15)\/h*(-22)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = p, 2*c + 395 - 393 = -2*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*2)**2 + -5)*-2.\nAnswer: -7766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 311432\/17028 + 8\/36. Is i less than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 2*v + 3. Let j be o(2). Suppose 3*i + 15 = 6*i - 3*z, -j*i + 2*z = -14. Solve -i*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10782990 to the nearest 10000.\nAnswer: -10780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 - -510. Let t = 0.0476 + 3.5424. Let q = t - -0.41. Which is the third biggest value? (a) o (b) q (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:30 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54\/8)\/((-222)\/(-16) + -12). Which is smaller: -9 or j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279460?\nAnswer: 2, 5, 89, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41416 (b) 0.2 (c) 1 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1)*c**(-5))\/(c**(2\/3)\/c**1)*(c*c**(-2\/7)*c*c**11)**36 assuming c is positive.\nAnswer: c**(9556\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 45, 43348?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 6*n + 38. Let j be i(-8). Suppose -10*c + j = 8*c. Solve 0 = c*a - a - p + 4, 4*p - 10 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 89. Let d = -4 + c. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 148, 175, 196, 211, 220?\n\"Answer: -3*n**2 + 36*n + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -253706, -253703, -253700?\n\"Answer: 3*m - 253709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1667967 or 1667926?\nAnswer: 1667967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 p when four letters picked without replacement from pippppppipp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6687877.\nAnswer: 4\/6687877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 70*k - 35. Calculate i(4).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 18*g + 9. What is l(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 1 + 1 + (4*j - 2*j - 4*j)*(0 + 2*j**2 + 0) - j**2 - j**3 + j**2)*(2 - 2 + 1).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**(-1\/71)\/(v\/v**(1\/2))**33 assuming v is positive.\nAnswer: v**(-21083\/1278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 1\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -89*y. Let w(k) = -405*k**2 + 303. Determine q(w(r)).\nAnswer: 36045*r**2 - 26967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.06, 0, 26, -3, -1\/5 in increasing order.\nAnswer: -3, -1\/5, 0, 0.06, 1\/4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/3 + 2703\/954. Let x = 192.1 + -192. Let d = -5.7 + 0.7. Put x, o, d in increasing order.\nAnswer: d, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, 27, 139, 357, 717, 1255, 2007?\n\"Answer: 6*b**3 - b**2 + 3*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8866300, 17732584, 26598868, 35465152, 44331436?\nAnswer: 53197720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, f: 7}. Give prob of sequence ddfd.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620473994 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 30.33. Let d = m - 0.17. Sort -4\/7, 0.2, d in descending order.\nAnswer: 0.2, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 585*h**2 + 5855*h + 50.\nAnswer: 5*(h + 10)*(117*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {z: 1, e: 5, g: 6, a: 2, f: 2, m: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 735 = -2395. Calculate the remainder when j is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 167*u - 2814. Give p(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 + 7 - 4) + (-19 - -8) + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeeeefeeffefeyfee. What is prob of picking 4 e?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 1 + 1172*q**3 - q**2 + 88*q + 74*q - 1171*q**3 as i*q**2 + y + o*q**3 + u*q and give u.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 3*a - 7. Let y(n) = -2*n**2 - 4*n - 8. Let x(m) = 3*f(m) - 2*y(m). What is the units digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -186, -1, 178, -14, 1 in decreasing order.\nAnswer: 178, 1, -1, -4, -14, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/14 - 25\/182. Let n be (4\/16)\/(3\/84). Let h be (-2)\/(n\/(35\/10)). Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 49, 88, 131, 172?\n\"Answer: -b**3 + 11*b**2 + 3*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 262.5873 milliseconds?\nAnswer: 262587.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d0201 (base 14) to base 8.\nAnswer: 3752471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 3*z - 5. Let l be c(-5). Let g = 59 - 41. Suppose 3 = -7*k + 3*k - 5*m, -3*k + g = -3*m. Solve 33 = 7*d - k*d + l*o, 3*d + 4 = 2*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.68 + 20. Let n = 0.21 - l. Let f = -0.187 - n. Round f to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - v**3 + 4*v**3)*(190*v**2 - 97*v**2 + 235*v**2) + 4*v**5 - v**5 - v**5 + (-3*v**3 + 0*v + 0*v)*(-2 + 2 - 2*v**2).\nAnswer: 664*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -176, -2, -4 in increasing order.\nAnswer: -176, -4, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dwdddwdwdddddwwdwdw?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) -16.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 - (-190)\/20. What is the highest common factor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*j**3 - 49*j**2?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267818336?\nAnswer: 2, 8369323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 3864 = 136*u for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.045535 * -1.09\nAnswer: 0.04963315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.2 - -9.4. Let n = 0.03 + 4.07. Let q = n - 0.1. Sort 0, q, j in decreasing order.\nAnswer: q, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*((-1768)\/(-78))\/34.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*h = -2*x - 80, 4*h = -5*x + 121. Suppose -x = -v + 5*l, l = -2*v - 0*l + 28. Calculate the greatest common divisor of 120 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**3 - 8*s**3 - s**3 - 5*s**3 + 26*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4232 - 4231. Let d = 279468763\/470 - 594614. Let u = 1\/94 + d. Put n, 3, 4, u in descending order.\nAnswer: 4, 3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 27*v + 3\/2*v**2 - 9 - 10\/3*v**3. Let q(k) be the first derivative of z(k). What is the first derivative of q(l) wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4211*m**2 - 17*m - 2391. Let a(v) = 1404*v**2 + 6*v + 797. Let l(y) = 17*a(y) + 6*x(y). Differentiate l(o) wrt o.\nAnswer: -2796*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 2 + (-500)\/78. Let s = 634\/975 + u. Is 1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 1439, 3122, 5479, 8510?\nAnswer: 12215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 764211.8 litres in millilitres?\nAnswer: 764211800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {k: 1, n: 4, s: 1, h: 2, i: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 6, i: 7, h: 1, p: 3}. Give prob of picking 1 h and 2 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + -7 - -1 - 0. Suppose 0 = 3*j + 2*j + 30. Let x(l) = 2*l - 13. Let i(d) = -d + 7. Calculate j*x(k) + q*i(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.4 + -16.5. Put q, 1\/4, 0.11, 5 in descending order.\nAnswer: 5, 1\/4, 0.11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -16223, 13.45, 3\/2 in ascending order.\nAnswer: -16223, -2\/5, 3\/2, 13.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-98)\/245 + (-4)\/(-10). Suppose q = 81*t - 77*t - 384. What is the smallest common multiple of 52 and t?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*x + 5*f = 138*x, 0 = 2*x + f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x. Let v(h) = 3*h + 1. Let y(j) = j**3 - 8*j**2 + 9*j - 11. Let o be y(7). Determine o*v(g) - 5*r(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/18)\/((-3)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r - 2)*(-3*r + 5*r + 0*r + (-4 - 1 + 6)*(r + 0*r + 0*r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 11*i + 3*i**2 + i - 12*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -27. Sort -2, a, 5 in descending order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40070893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 715 and (((-3)\/(-9))\/1)\/(20\/40)*21.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 7. Let m be l(0). Find the third derivative of 1 - 859*s**3 + 1014*s**3 - 2*s**2 + m*s**2 wrt s.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18515 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxzttvxvtxxvzn. What is prob of sequence nx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0 - l)*(22042*l**3 - 30374*l**3 - 46824*l**3) to o + p*l**2 + w*l**3 + d*l + g*l**4 and give w.\nAnswer: -110312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 11 = 5*q + 6, 1 = 2*q - j. Let l = -28698\/13 + 2213. Let p = l + -11\/2. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -54*j. Let b(h) = 37*h + 1. Let n(o) = 5*b(o) + 4*q(o). Let t(r) = 3*r**2. Determine n(t(u)).\nAnswer: -93*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/4))**28 assuming a is positive.\nAnswer: a**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33762 + -33733. Solve 3*o + g = 5 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*p + 4*v, p = -4*p + 4*v + 36. Let a = -27 - -36. Put a, -5, p, 5 in increasing order.\nAnswer: -5, p, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 194*i - 7502. Give g(40).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/11 + 3748*z**3\/11 + 1180362*z**2\/11 - 10860192*z\/11 + 21855960\/11 = 0. Calculate z.\nAnswer: -1470, -413, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*i\/(i*i**5*i*i)*i)\/i*i*i\/(i*i**(-5)*i*i))**6*i*(i*i\/(i*i**(-2\/3)))\/i*i*i\/i**(2\/3)*(i**0)**18 assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 34?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1395213 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 45*s - 94. Let o(z) = -2*z**2. What is p(o(m))?\nAnswer: -12*m**4 - 90*m**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 174 = -5*p + 535, 4*p = -b + 287. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**3 - q**2 + 2*q + 1. Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let z be h\/(-8) - (-39)\/4. Let g be (12\/z)\/((-8)\/(-20)). Solve 2*f = -g - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, -49, -54, -49, -28, 15?\n\"Answer: a**3 - 4*a**2 - 4*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/35 + (-634)\/(-10). Suppose 5*g + u = 31 + 129, -3*u - m = -2*g. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1536)\/(-20))\/((-226)\/(-565)). Suppose -20 = h - 148. What is the greatest common factor of c and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 18*k - 784. Give n(39).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3 + (sqrt(112) - (1 + sqrt(112) - sqrt(112))) - (5 + sqrt(112) + sqrt(112) + -1)) + 3)*-6 + -2)**2.\nAnswer: -960*sqrt(7) + 16228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (79*-3)\/((-2850)\/380)*20\/(-8)*-1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 4\/(-6). Let z(g) = 3*g. Let f(w) = w. Let a(u) = -4*f(u) + z(u). Let b be a(4). Sort b, q, -2.\nAnswer: b, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -245*t**3 + 45*t**2 - 2 wrt t?\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 380345.6mg?\nAnswer: 0.0003803456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111287*l**3*p + l**3 + 13*l*p - 24982079*p wrt l?\nAnswer: 333861*l**2*p + 3*l**2 + 13*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -43, -10 in descending order.\nAnswer: 4, -10, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 21*f**2 - 37*f - 32. Determine w(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**2 - 74*r**3 + 437*r**2 - 146*r**2 - 137*r**2 - 118*r**2.\nAnswer: -74*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*q**4 - 5*q**3 - 128*q wrt q?\nAnswer: -204*q**2 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 79*u**5\/10 + 96*u**2 - 29*u - 4. Differentiate g(r) with respect to r.\nAnswer: 474*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t - 6. Let x(g) = -25*g + 18. Give 8*q(a) + 3*x(a).\nAnswer: -3*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -346501, -346762, -347007, -347230, -347425, -347586?\n\"Answer: n**3 + 2*n**2 - 274*n - 346230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 4, -3, -23\/14, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -2, 4, 5, 0, -51 in decreasing order.\nAnswer: 5, 4, 0, -2, -51, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-5)\/(-20)). Let j be 1*l\/(-3)*3. What is the remainder when (-1 - -3)*(-53)\/j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = v + 1, -144*q - 3 = -141*q + 3*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/8 - 6303*r**2\/8 - 926073*r\/4 = 0.\nAnswer: -5994, -309, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452572249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 31 = -2. Let b = 4 - s. Let v(l) be the third derivative of -l**4\/24 - 5*l**3\/6 + 65*l**2. Calculate v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 2\/5 (c) -3648 (d) -2 (e) 61\/3 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 3*z = -2*v - 130, 4*v - 51 = 2*v + 8*z - 7*z for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 7. Let r be 2\/4*(8 + 4). Let q be c(r). Let t = 22 - q. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -746*n**3 + 746*n**3 + 20*n**4 + (-3*n**2 + 4*n**2 + n**2)*(-4*n**2 + 3*n**2 + 2*n**2) + n**3 - n**3 + 2*n**4.\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 345984413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 0*b**3 + 1\/75*b**5 + 0 + 1\/60*b**4 + 0*b + 1\/300*b**6 + 2*b**2. Let h(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.5. What is the closest to -0.1 in i, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 4*s + 102. Suppose 2*p = -z + 21 + 10, -4*z + s = 3*p. What is the least common multiple of 14 and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.828 - -38.128. Let a = z - 40.23. Let f = a - 0.07. What is the third smallest value in -2, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22*((-1)\/4)\/((-5)\/4). Which is smaller: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3)\/l**2*(l*l*l**(-1\/4)*l)**(9\/2) assuming l is positive.\nAnswer: l**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5133420 (base 7) to base 14.\nAnswer: 11d810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -247891 - -2?\nAnswer: -247889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-189)\/56)\/(15\/(-20)). Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*f + 4*l - 7, 0 = -3*f - 2*l + 1. Sort f, 4, 1 in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.33 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21244032 (base 5) in base 4?\nAnswer: 230032112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 5)*(2*f + f - f) - 2*f - 5*f + 4*f - 1 - 2*f - 1 + 0 to q + z*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a factor of 39585000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 55*h + 10. Let r be t(2). Let m(p) = -p**2 - 5*p - 6. Let a be m(-4). Let y be (-18 + 3)*2\/a. What is the highest common divisor of r and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-44)\/g)*g**(-1\/41) assuming g is positive.\nAnswer: g**(1885\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 462 - -849. Let u = 1307.884 - j. What is u rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 204366620 - 4491533380. Suppose -m = -11*w + 22*w. Round w to the nearest 1000000.\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*a - 132 = 0, 3*u - 2*a = -406 - 4. Let g = -82 - u. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/2082 and -65\/9?\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31887.61mm to centimeters.\nAnswer: 3188.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 8*o**2 + 6*o + 2. Let s be l(7). Let k be -1*10\/(-4)*2. Put k, 2, s in ascending order.\nAnswer: s, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 895196.5 decades?\nAnswer: 8951965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3483*j - 3577*j + 7303*j.\nAnswer: 243*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 + 4*s - 4. Let p(a) = -6*a**2 + 3*a - 3. Calculate -3*n(c) + 4*p(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 4*r - 4. Let j(m) be the first derivative of -m**4\/4 - 4*m**3\/3 + 9*m**2\/2 - 9*m - 3984. Give 2*j(f) - 5*q(f).\nAnswer: -2*f**3 + 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x**2 - 6*x - 59. Let r be m(11). Let k = -649 + r. Let z = k - 562. What are the prime factors of z?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (0 - -2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Let o(j) = -1. Let m(s) = -s**2 - 5*s - 4. Let z(a) = m(a) - 5*o(a). Let t(n) = -n**2 - 4*n. Give k*t(p) - 2*z(p).\nAnswer: -p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 3*j + 3*j**2 - 7\/6*j**3 + 0. Does 27 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1700 and -71\/680.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*y + 5*x, -4*y + x + 12 = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 2*g**2 + 2*g - 4. Determine j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 502121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:46 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 81 = -5*l + 489, 5*l - 612 = -3*k. Suppose -k = 3*w - 7*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:39 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 6*z**2 - 7*z - 1. Suppose -13*r + t - 158 = -15*r, -2*r + 150 = -3*t. Calculate the remainder when r is divided by u(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104, -106, -108?\n\"Answer: -2*p - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 4*n**2 + 0*n**2 - 5*n**2 + 0*n**2 + 3*n**2 + (-3 - 3 + 5)*(39*n - 39*n - 22*n**2).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-511)\/3234 - ((-4)\/(-3))\/(((-23452)\/78)\/41)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7621145, 15242257, 22863371, 30484487?\n\"Answer: v**2 + 7621109*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6861*n**3*x**3 - 2*n**3*x - 4*n**3 + 3*n - 2687 wrt x.\nAnswer: -20583*n**3*x**2 - 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 875, 920, 965, 1010?\n\"Answer: 45*a + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) 3\/5 (c) 142\/5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-767 - 189*a**2 + 767)*(-4*a**2 + 2*a**2 + 4*a**2).\nAnswer: -378*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 + 4*o**2 + 4*o. Let i(y) be the first derivative of y**4\/2 - y**3 - 3*y**2\/2 + 27. Calculate -3*d(q) - 4*i(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 of a millennium in years?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t**2 + 5*t - 2. Calculate o(-3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*g - 160, 0 = 3*a - 2*g - 77 - 163. What is the least common multiple of 2 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 - 24*h + 29*h - 302.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500)*-2 - (sqrt(45) + (sqrt(405) + sqrt(405)*1)\/sqrt(9)) - (4 + (sqrt(6480) - (sqrt(6480) + sqrt(6480) + -1))))**2.\nAnswer: 330*sqrt(5) + 5470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:07 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18569, -37120, -55657, -74174, -92665, -111124, -129545, -147922?\n\"Answer: f**3 + f**2 - 18561*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, t: 7, u: 5, o: 2}. What is prob of picking 1 t, 2 u, and 1 o?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jll when three letters picked without replacement from {j: 7, l: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 76 = 2*f, -z + 34 = -77648*f + 77643*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 875. Let d(b) = 3*b + 438. What is 7*d(u) + 4*y(u)?\nAnswer: u - 434","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -1, -9800, -3\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (2 + (4 - 320)). Suppose -3*k - s = 542. Let n = -201 - k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.2083687 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-55)*4)\/(-1*1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -42*v**2 - 16*v + 16. Let o(h) = -8*h**2 - 3*h + 3. Let k(m) = 16*o(m) - 3*s(m). Let y(n) = 54*n**2. Calculate y(k(d)).\nAnswer: 216*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*f - 10. Let r(a) = 6*a**2. Let n(i) = -5*i**2. What is f*n(x) - 6*r(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 1) + (6 - 22) + 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 1716*w - 46629*w**2 + 60582*w**2 - 4606*w wrt w?\nAnswer: 27906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s - 63 + 0*s + 62 - 9*s + 4*s - s + (3 - 1 - 1)*(s + 0 + 0).\nAnswer: -11*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.68 + -2.68144. What is q rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22358 is divided by 3713?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 80107954, 160215911, 240323868, 320431825?\n\"Answer: 80107957*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235275 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and ((-9)\/12 - 0\/(-5))*-24?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*s + 11*s - 69 - 82 - 34*s to u + t*s and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 28. Is 10 a factor of 22\/55 + (-396)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219091 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2410, 9666, 21760, 38692, 60462?\n\"Answer: 2419*k**2 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 141 = 5*i, -8*o + 5*o + 114 = i. Calculate the highest common factor of 247 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 420 + -41. Let t = 4148\/11 - c. Suppose -15*p + 60 = -20*p. What is the common denominator of p and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/196 and 3\/112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 23*p**3 - 2*p**2 + p. Let h be s(1). Suppose -5*c = -4*u - h - 32, 2 = -2*u. Calculate the greatest common divisor of 90 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 57*t**3 + 162\/7 - 1161\/7*t**2 - 45\/7*t**4 + 1053\/7*t = 0.\nAnswer: -2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*k**2*q**5 + k**2*q + 51 wrt q?\nAnswer: 1120*k**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -36104.\nAnswer: 3\/36104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -515 + 221. What is the tens digit of y*(-11 + 9 + 0 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**5\/20 + f**4 - 5*f**3\/3 - 5*f**2 + 2*f. Let b be g(11). Which is smaller: -1\/7 or b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15292741402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222976 and 14740.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -457512.52.\nAnswer: 457512.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223724435?\nAnswer: 5, 11, 4067717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**3 + a**2\/2 - 2*a + 77. Let n be 10*-3*2\/15. Let q be s(n). What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 12*k**2 + 8*k - 36. Calculate c(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -31.2. What is the smallest value in -5, -43, v?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12 - -0.3. Let x = w + -0.08. Let d be 5\/(-3) - (0 - 2). Which is the nearest to d? (a) 2 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 5*v**3 - 8*v**2 - 48*v = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 41500 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 27*g - 24*g - 13, -4*g + h + 49 = 0. Solve -9 - 24 = g*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29679 times -13.4\nAnswer: -397698.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 2*m**2 + m**2 + (0 - m + 0)*((1 - 2 + 3)*(2*m - 2*m - m) + 14*m - 2*m + 31*m)*(1 + 3 - 5) to k*m + i*m**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k + 265. Let h be w(29). Put 1, h, 3 in decreasing order.\nAnswer: h, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*q = -4*t - 40, -3*q + 69 = 4*t. Solve t = 4*f + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/21 + 2\/21. Let y = 0 - -2. Which is the nearest to y? (a) 3\/2 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/100 and -29\/45.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 6. What is the remainder when 49 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/2))**(13\/4) assuming h is positive.\nAnswer: h**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 3:12 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*d - 5544*d**3 + 76*d - 5538*d**3 - 5580*d**3 + 16615*d**3.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*x**4 - 4*x**3 - 578*x - 3.\nAnswer: -2916*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 489 + 5572. Suppose 4*d + 15*d = i. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (73 + -68 - (1 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*b + 88*b - 209*b - 1344 + 3612 = 0 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*z + 6*z**2 - 3*z**2 + 208*z.\nAnswer: 3*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhxaannalhhlxha. What is prob of sequence all?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 13*j + 12. Let g be l(1). Let k be -2 + 2431\/1084 + 1\/g. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(60\/(-8)))\/(18\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33124\/3*f + 962*f**2 + 134017\/3 - 100\/3*f**3 + 1\/3*f**4.\nAnswer: (f - 61)*(f - 13)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -3, 1 in increasing order.\nAnswer: -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121 + 112200?\nAnswer: 201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 - 8*y - 10. Let q(w) = 2*w**2 + 8*w + 8. Determine 4*b(c) + 5*q(c).\nAnswer: -6*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 0.74, 2\/5, -5, 1\/11, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 14*c**2 + c - 9. Let x be g(14). Let m(s) = 2*s + 5 - s + 0. List the prime factors of m(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 8 = 22*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - 5. Let o = -23 - p. Calculate the lowest common multiple of o and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/9 - 172*x**2 + 484000*x\/3 + 613000000\/9.\nAnswer: -4*(x - 613)*(x + 500)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsjjsjzjsszizzs. Give prob of sequence jsi.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139 (base 15) to base 13.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:34 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 497, 508?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 0.5 (c) 118 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 339, 240, -29, -552, -1413, -2696?\n\"Answer: -14*x**3 - x**2 + 2*x + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/2 + 2729*b. Let a(r) = 152*r**2 + 4. Calculate a(o(d)).\nAnswer: 1368*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8*-10 - (-1 - -3). Let g be 7 + -4 - t - 0. Let x(h) = h - 3*h**2 + g*h + 0*h + 2*h + 2*h**3. Calculate x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 9355633*k**2 + 56133771*k + 84200643.\nAnswer: (k + 3)**2*(k + 9355627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - i + 3*i**2 - 5*i**2.\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002227 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + u - 9. Let p(w) = -4*w + 3*w - 4*w - 1. Let f(l) = 14*l + 3. Determine u*f(x) + 8*p(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28728? (a) 38 (b) -30 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3431 = -282*c + 11233 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 64, 103, 164, 253, 376, 539, 748?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 301, 279, 257, 235?\n\"Answer: -22*q + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 + 52 = 0. Let p = 542 + 4. What is the units digit of p\/f + 4\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220539.658 rounded to the nearest 1000?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 6. Let s be q(-5). Suppose s = 2*d - 3*a, 4*d - 18 = -d + 2*a. Suppose u = d*u - 14. What is the remainder when 26 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 + -190.5. Let p be (0 - (-1)\/(-2))\/1. Suppose -3*q + 5*l - 19 = 0, 4*q = -3*l + 4*l + 3. What is the closest to p in -2\/9, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 17434.\nAnswer: 17432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 12 + 10 = -3*u, 3*u = 3*i + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((1824\/(-1504))\/19)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.69. Let d be (-4 + 10)\/(-6)*((-22)\/10)\/(-11). What is the biggest value in d, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14127343?\nAnswer: 14127343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20312984.\nAnswer: 2, 2539123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1446 and 65559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 297\/6781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 286*a**2 - 5471*a - 300. Give p(304).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14586, -14381, -14166, -13941, -13706, -13461, -13206?\n\"Answer: 5*g**2 + 190*g - 14781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295100.253 minutes in weeks?\nAnswer: 29.27581875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001984 rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -8*o**2 - 1222. Let y(x) = -3*x**2 + 4*x + 4. Let q(k) = -4*k**2 + 5*k + 5. Let u(z) = 4*q(z) - 5*y(z). Determine n(u(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1644*k**2 + 1738*k**2 - 1448*k**2 - 4934*k**2.\nAnswer: -6288*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 12. Is (-1)\/((l\/19)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20094.\nAnswer: 2, 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 23*a**5\/20 + 79*a**4\/12 + 4*a - 6. What is the third derivative of s(j) wrt j?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2454909132 and 362.4.\nAnswer: -2454908769.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 30 = -6*o + o, 5*o + h = 6. Let i = 4 + o. Suppose 3*d + 0*g - 34 = 2*g, 2*g - i = -2*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r - 2*g, -4*r = 2*g - 11 - 7. Let m(z) = -z**3 + 8*z**2 - 6*z + 20. Calculate the lowest common multiple of m(6) and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/24 - 3*r**3\/2 - 5*r**2\/2 + 9*r. Let w(o) be the first derivative of m(o). What is the first derivative of w(n) wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) - 2*sqrt(22))*1)\/sqrt(2))**2 + 0 + -2 + sqrt(33)\/sqrt(3).\nAnswer: sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2417707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 14*s**4 + 6001874*s**3 - 28294796*s**2 + 27437464*s + 10289040 = 0.\nAnswer: -428710, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 602*v - 12660\/7.\nAnswer: 2*(v - 3)*(v + 2110)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:33 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69.58 + -0.02. What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:55 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*k + 74*k + 2320. Is ((-256)\/(-10))\/(58\/k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4411 + 5711*p - 4431 + 8842 as x + c*p and give c.\nAnswer: 5711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5274084 by -2.\nAnswer: -2637042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -5.27?\nAnswer: 5.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*p - 10*p. Suppose 6*q = 3*u + 4*q - 567, 3*q = p*u - 946. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (-6*sqrt(343)*-2 - sqrt(343)))*-4)**2.\nAnswer: -22176*sqrt(7) + 5976576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46067*h**2 - 46003*h**2 + 138241*h**2 - 46080*h**2.\nAnswer: 91*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9714 (base 12) to base 13\nAnswer: 7711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l*q**4 + 39*l*q + 2*l - 2*q**2 + 239511*q - 130437361 wrt q?\nAnswer: 4*l*q**3 + 39*l - 4*q + 239511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 1\/10 (c) -2 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = r - 4*r - 13, -2*r + 2*j + 8 = 0. Let k = 5 + r. Factor -6*g - 27*g**3 + 0*g**k + 15*g**4 - 2*g**2 - 3*g**5 + 23*g**2.\nAnswer: -3*g*(g - 2)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 491892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/196*(-14)\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 237*p - 449. Let v be n(2). Solve v*o + 47 = -28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 26 = 5*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 26. Let w be o(-13). Suppose -5*j - 88 = -w*j. Suppose -j = -d + 15. Does 26 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-98)*(-42)\/6\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-2)*(-4)\/2. Let q = u + 4. What is the remainder when 48 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from {t: 1, k: 1, i: 2, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23186 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 151559285677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*b - 41*b + 66. Let h(k) = k**2 - 10*k + 3. Calculate h(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.275 - -46. What is d rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, -4*m + 635 = m + 3*f. Suppose -4*c + m = -5*v, 27 = -5*c + 5*v + 182. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 17*o + 87. Calculate u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 5*z**4\/24 - 5*z**2\/4 - 73*z. Solve a(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56051, 56053, 56055, 56057, 56059, 56061?\nAnswer: 56063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-48)\/(-4))\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 26, -78, -320, -748?\n\"Answer: -8*z**3 + 3*z**2 + 33*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Factor 3*q**m - 2*q**2 + 2*q**2 + 0*q**2 - 3.\nAnswer: 3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -232, -361, -498, -643, -796?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + (-42 + 65 - (10 + 0 + 1) - 6)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**2 - n + 1. Let q be w(-6). Factor t**2 - 10*t**3 + q*t**3 - 1 + 3*t - 4*t**2.\nAnswer: (t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 19*y + 35. Let g = -79 - -58. Calculate a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5698296 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 741, -43326, 3 in descending order.\nAnswer: 741, 3, -43326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*a - 12*a + 92*a + 157*a to the form o*a + v and give o.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 77 = 146. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*o + 235*o - 140*o = -152 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u**5\/7 - 12*u**4 + 21*u**3 + 162*u**2\/7 - 204*u\/7 + 24\/7 = 0.\nAnswer: -2, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -61*f + 1. Let z be k(1). Let w = -34 - -22. Let v be 38\/z + (-6)\/w. Sort v, -3, -1\/4 in decreasing order.\nAnswer: v, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {d: 1, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u + 8 = 0. Let y(w) = 16*w + 5. Let b be y(u). Does 7 divide 6\/b - 681\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31324528171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrur when four letters picked without replacement from {r: 3, u: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220132943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 515 and 4?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1366208 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = 4*b - 4, -5*n + 35 = 3*b. Suppose m + 5*v - 5 = n*v, 3*m + v - 5 = 0. Suppose m*q + 33 = q. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.14, 50, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/976 and -107\/29524?\nAnswer: 118096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x + 42. Let j be r(21). Let i = j + -209. Suppose -2*s + 5*w = 2*s - 326, -s + 3*w = -i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2. Let n(z) = -4*z**2 + 20*z + 21. Let f(y) = n(y) - 3*q(y). Let r be f(16). Calculate the remainder when 4\/2 + r + (-1 - 1) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -161*o**2 - 1482*o + 1280. What is h(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t**3 + 4*t + 4. What is the tens digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**3 + 1\/60*j**6 + 0*j + 0 - 8\/105*j**5 + 1\/7*j**4 - 1\/735*j**7 + 16*j**2. What is a in q(a) = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 4*g**2 - 11*g - 35. What is the hundreds digit of y(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/2 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaarnanajajrjgn. Give prob of sequence ngj.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 6\/(-15) + (-160)\/(-25).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1903 and 18620509.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + (2 - 4 + 1)*(-4 + 1 + 2) - 26 + 8 - 44)*(5*t - 5*t + 2*t).\nAnswer: -120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 24 = 5*h. What is the third smallest value in -9, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -82 + 76, 2*j = 2*z + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 52, 136, 260, 430?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbfbyypyupyfpbuuff. Give prob of sequence uy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + c - 23. Calculate z(-6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(3\/8)*f**0*f*f*f*f*f**(1\/6) assuming f is positive.\nAnswer: f**(191\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2+1701\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1681 - -1646 - (-18 - (-2 - 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 1, w: 2, c: 1, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x = 0. Suppose n = 6 - x. Let q = 4 + 2. What is the greatest common divisor of q and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5951*l**2*t**3 + 5*l**2 + 229*l*t**3 - 74415*l with respect to t.\nAnswer: -17853*l**2*t**2 + 687*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6*u - 20 = -10, -3*u = -5*t + 26 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwwwwwwnwwww.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 6*z - 6. Let c = 8 + -5. Suppose 3*m - c*u = -2*m + 15, -3*m + 5*u - 7 = 0. Let b(g) = 7*g**2 + 11*g - 11. Determine m*b(y) - 11*q(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((6\/33)\/(1480\/(-814))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55486 - 14.796.\nAnswer: -55500.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 45*z**2 - 49*z - 123. Let k be 4\/5*460\/(-8). Let p be j(k). Solve 0*b + p = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1381 and 0.20730872.\nAnswer: -1380.79269128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand -10*l**4 - 5*l**4 + 13*l**4 + (-804640 + 804640 + 484*l**2)*(0*l**2 - l**2 - l**2).\nAnswer: -970*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.353ml in litres?\nAnswer: 0.157353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.7. Which is the nearest to -1\/2? (a) 1 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*n - 1, 4*k + 2 = 3*n + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*v - 8492 - 2506 = 0, v = g - 11016. List the prime factors of g.\nAnswer: 3, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.2. Let f = -2027.7 + 2027.2. What is the closest to -0.2 in y, f, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 + r**4\/12 - r**3\/6 - r**2\/2 - r. Let k be 0*(32 + -13)\/(-57). What is g(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -3, -6, 4 in decreasing order.\nAnswer: 4, -3, -6, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + -2*sqrt(171)*-2 - sqrt(171))) + sqrt(171))\/(sqrt(54)\/(sqrt(6) + sqrt(54)))*3.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 0 - 1 = 0, 0 = -9*l + 2*h - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1097, 4438, 10027, 17870, 27973?\nAnswer: 40342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 26 (c) 1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1 + -1) + 2. Suppose s = -0*n - 3*n + 15. Suppose -n*c = q - 27, 16 = 4*q - 3*c - 46. What is the remainder when 32 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 11620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*y - 4 = 0, -4*y + 11 = 4*q + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5)**(-17\/5)*(t\/(t**(-16)*t))\/(t\/((t*(t*t**(4\/5))\/t)\/t)) assuming t is positive.\nAnswer: t**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2.1, 0.01 in decreasing order.\nAnswer: 2.1, 0.01, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*q + 691 = 0, 17*t - q = 12*t + 1144. Let f = t - 223. Solve 22 = f*l - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/(a**(3\/4)\/a)*a**(-1\/2)*a**(2\/9))**(-5\/7) assuming a is positive.\nAnswer: a**(-1075\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(-j**2 - 5*j + 5*j) - 5*j**2 - 2*j**3 + 5*j**2 + (2*j - 4*j - j)*(3*j**2 + 0*j**2 - 2*j**2) + 3*j**3 + 3*j**3 - 4*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.4 and -159.2.\nAnswer: 2451.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2128*r - 2127*r - 165 = 0. Let p be 18\/(-2) - (-1515)\/r. Factor 0 - 6\/11*b - p*b**2.\nAnswer: -2*b*(b + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 908 + -4538\/5. Sort 1, 1\/19, f, -1 in increasing order.\nAnswer: -1, 1\/19, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -16838636.\nAnswer: 16838636.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -3. Let c be (-3 - 1) + 19\/1. Let p(f) = -f**3 - 2*f**2 - f + 2. Let a be p(-2). Solve -k = -x - 0*x + 3*z, -a*x = 5*z + c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 49 = 49. Let o(k) be the second derivative of h*k**2 - 3\/20*k**5 + 0*k**4 + 0 - 4*k + 1\/14*k**7 + 0*k**6 + 0*k**3. Factor o(u).\nAnswer: 3*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/((n*n**(-13\/7)*n*n*n)\/n))\/n)\/n))\/n**(-2\/7) assuming n is positive.\nAnswer: n**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946859697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 2, d: 1, f: 1, n: 1}. Give prob of picking 1 n and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 45 + 27. Let u(x) = 12*x**2 + 9*x + 24. Let j be u(-4). Calculate the highest common divisor of o and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q - 1. Let t(v) = v**2 - 6*v + 2. Let n be t(4). Let d be w(n). What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 0.2 (b) 3 (c) 17 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42341944 a multiple of 1427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59.0072 minutes?\nAnswer: 3540.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15 and -91\/14231492.\nAnswer: 14231492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 834, 758, -294, -2322, -5326, -9306?\n\"Answer: -488*c**2 + 1388*c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 88 + 6148*l.\nAnswer: 6148*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - -0.85. Do y and -3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 3. Let a(q) = 58*q - 11. What is -2*a(n) + 6*p(n)?\nAnswer: -110*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39427745*z**4 + z + 11124358.\nAnswer: 473132940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03198875 to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131445408 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -295, -17, 26, -4, 5, -1, -3 in descending order.\nAnswer: 26, 5, -1, -3, -4, -17, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 116. What is the greatest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 + -0.16. What is the smallest value in -0.3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3729891257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 12:27 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12.7. What is the third biggest value in 5, 7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(((-120)\/(-432))\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, w: 2, m: 1, a: 2, l: 1}. Give prob of sequence nm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 - -280.5. Let q = o + -273. What is the smallest value in -2, -5, q, -2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*p + 504 = -w, -3*w = -3*p - 1476. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 2\/7, -88.5, 3, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 4*b - 29, -5*s + 3*b - 25 = -12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*((-8)\/6)\/2)\/(-1). Let y(i) = -5 + 4 + i**3 - 1 - 10*i**2 - r. Let j be y(10). Sort -3, 12, j in descending order.\nAnswer: 12, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5 + 10*m**2 + 23*m + 2*m**2 - 250*m**4 - 7*m + 238*m**4 - 14*m**3 = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/11)*o))**(-27)*o**(-7)\/o*o\/(o\/(o*o*o**(1\/7)*o)) assuming o is positive.\nAnswer: o**(1327\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 44*s + 2. Let m(t) = 5*t**2. What is b(m(z))?\nAnswer: 220*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/18*((-585)\/(-10))\/(-13). Suppose 2*b - 44 = -n*s, 0 = -5*b + 2*s + 20 + 78. Solve -3*j - 2*j - 5*u = b, 6 = -2*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*r + 106*r + 20245. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5019962590?\nAnswer: 2, 5, 2137, 234907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4937 to 2 dps.\nAnswer: -2.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6632503463 + -5?\nAnswer: -6632503501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/7*s**2 + 4\/7*s**4 - 16\/7*s - 36\/7*s**3 + 4\/7*s**5 + 0.\nAnswer: 4*s*(s - 1)**3*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-16))\/((504\/192)\/(21\/12))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (96\/(-60))\/((-4)\/10). Suppose -3*l = -d - 14, d + 17 = p*l - 2*d. Let y be (2\/l)\/((-4)\/40). Which is the nearest to -0.2? (a) -2 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1)\/(-2))\/(7\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -124, -3, -670, 2 in ascending order.\nAnswer: -670, -124, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/35 (c) -13 (d) 0.3 (e) 38.3 (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/7203 and -76\/512103.\nAnswer: 1229559303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08354487 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**2 - 17868*f + 89565.\nAnswer: -3*(f - 5)*(3*f + 5971)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 + 325*w**3 - 158 - 318*w**3 - 33*w to b*w + t*w**2 + q + d*w**3 and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) + -1*12\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 35*b - 10*b + 0*b**3 + b**3 + 71*b + 2. Let m(q) be the third derivative of -q**5\/30 + 2*q**2. Give w(m(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 3*w**3 + 126049340475*w + 0*w**3 - 126049340475*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -562 - -792. What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.1 - -6. Let y = q - 0. What is the smallest value in -0.4, 1, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*v - 2*v - 2*v)*(443*v - 414*v + 300*v) - v**2 - v**2 + 4*v**2)*(-9*v**3 + 4*v**3 + 6*v**3).\nAnswer: 331*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18764\/3830)\/(3\/(-10)). Let g = -1\/383 + l. Find the common denominator of g and -65\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28115, -56280, -84493, -112754, -141063?\n\"Answer: -24*c**2 - 28093*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -46*u**2 + 11*u + 15. Let v(r) = -45*r**2 + 12*r + 16. Let x(f) = -6*k(f) + 5*v(f). Let j be x(10). Suppose 10*s - j = -0*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8\/3, 0.41, -38, 0.2?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -730 + 857. What is the remainder when 269 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruvrrurrv. What is prob of picking 2 v and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 3960.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/936205 and 40\/5055507.\nAnswer: 25277535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 975. Let l(x) = -2*x. Give c(l(d)).\nAnswer: -4*d**2 + 975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 99. Let a = -45 + y. Sort -0.09, a, -3\/2.\nAnswer: a, -3\/2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 17*f + f to the form j + z*f and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 5836*c + 7 - 8*c**2 + c**2 + 13*c**2.\nAnswer: -c**2 + 5836*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 20*k**2 + 20*k - 21. Let m be d(-21). Let u be 106\/477 + (-43)\/(-9) - m. Solve 5*t = 4*q + 25, 2*q + t = u - 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39*0.22\nAnswer: -8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*f + 4*m + 4, -3*f - m - 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39222.00024821 - -39222. Round r to six dps.\nAnswer: -0.000248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84939265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:37 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19682126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -6*s**7\/7 - 38*s**6\/5 - 28*s**5\/5 + 208*s**4\/3 + 512*s**3\/3 + 160*s**2 - 403*s. Determine o, given that z(o) = 0.\nAnswer: -5, -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*a = 609, -4*h + 6*a + 2436 = a. Suppose 55 + 915 = -5*k. Let r = h + k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - 42\/(-24). Suppose 2*u + z*u = 20. Factor u - 2 + 2*t**2 - 3 + 2 + 4*t.\nAnswer: 2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*g + 8 = 0, -3*g + 3 = 4*m - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13933 = 5*l - 11022. Suppose -4*t + 1045 = -l. List the prime factors of t.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k + 2. Let m be u(0). Let f = 4 - m. Solve 26 = -0*z - f*z - 5*n, -5*n = 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-33)*((-11715)\/132 - -86). Let r*l + 1\/6*l**2 - 1\/3 = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1540673, 3, 5, 0.3, 2?\nAnswer: 1540673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172325 + -113568. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -204, -335, -510, -741, -1040?\nAnswer: -1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -19.1. Which is the nearest to 0? (a) 0.2 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -111. Let c(s) = -2*s**3 - 11*s**2 + 7*s + 27. Calculate the lowest common multiple of 63 and c(v).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58 and -65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143302729*o**3*p**3 + 2*o**2*p**3 + 451*o**2*p + 1423*o**2 - 1 wrt o.\nAnswer: 859816374*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 776*r + 377 + 385 - 778*r + (4 - 3 + 1)*(4 - r - 4).\nAnswer: -4*r + 762","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000517213 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 2:07 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/24 - 2*n**3 - 3*n**2 + 4*n. What is b(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 921 - 909.83. Let w = i + -3.17. Let k = 10\/21 - 172\/273. Does k = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 273 = -3*n, 0 = 8*g - 12*g + 2*n + 358. Solve -g*b - 6 = -88*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 13*s + 2 + 6*s to r*s + y and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*r - 30. What is the highest common divisor of r and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.54135366 to two dps.\nAnswer: -14.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*p + 31, -3*p = -y - 5*p + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24233\/12 - 2024. What is the common denominator of d and -79\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -189? (a) -0.046 (b) 0.2 (c) -20\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -0.2, 1088, -3\/65 in descending order.\nAnswer: 1088, 3, 2, -3\/65, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -144, -397, -864, -1611, -2704, -4209, -6192?\nAnswer: -8719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 2*d + 3. Let h be y(1). Suppose 5*j - 279 - 626 = h. Find the second derivative of -9*r**3 + j*r - 2*r**3 - 175*r wrt r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1030268 + -0.2.\nAnswer: -0.3030268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, 55, 125, 231, 379, 575?\n\"Answer: l**3 + 9*l**2 + 6*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -54, -1, -4, -405 in ascending order.\nAnswer: -405, -54, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2)*o**(-21))\/(o**(-2\/5))**(-1\/7) assuming o is positive.\nAnswer: o**(-1369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 5*w - 18. What is q(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(3\/(-3)) - -181045*4\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcssbbbbcbbbbbcbb. What is prob of picking 4 b?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41677482.\nAnswer: 2, 3, 7, 11, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2380023985809 - 2380024022239.57407019. Let m = -36414.57407 - q. Let b = -16 + m. What is b rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - f, 5*d - 5*f - 10 = -5. Suppose 5*y - 254 = d*l - 6*l, -4*l - 3*y = -508. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 655 in 4, -8\/3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.2 (c) -40\/959 (d) 13 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20033 - -2?\nAnswer: 20035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(11\/4))**(3\/8)*x\/(x\/((x*x**(-10\/3))\/x))*x\/(x**(-2\/53)\/x)*x)**45 assuming x is positive.\nAnswer: x**(-72645\/1696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7)\/i*i\/i**(1\/49))**9 assuming i is positive.\nAnswer: i**(-261\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*j**4 + 20*d*j + 13*d - j**4 + 9 wrt j?\nAnswer: 8*d*j**3 + 20*d - 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1168*f*n - 208*f + 287605*n + 1 wrt f?\nAnswer: 1168*n - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 793 - -65. Let x = -73 + m. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - i = -36, -2*a + 51 = -i - 9. Let s be -237 - (4 - 1 - 2). Calculate the remainder when a is divided by s\/(-21) + (-1)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2102983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/28 + -8)\/(6\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.875 + 15. Let u = 0.075 + o. Is -1 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 4640*h**3 + 41508*h**2 + 82872*h.\nAnswer: 4*h*(h + 3)*(h + 6)*(h + 1151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003245201 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1258*g - 625 - 8780 = 213*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(300) + 0)**2 - (0 + -2 + sqrt(3))).\nAnswer: -sqrt(3) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1644.7.\nAnswer: 1644.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(40)\/(-2*sqrt(8)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let w(c) = 2*c. Let r(z) = -11*w(z) + 6*x(z). Let a(f) be the first derivative of 7*f**3\/3 + 106. Determine a(r(y)).\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 889 + -884. Suppose -293 = -t*b + 557. What are the prime factors of b?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9519, -26315, -43113, -59913, -76715?\nAnswer: -93519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -13481, -0.2?\nAnswer: -13481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 15. Suppose 3*v = 36 + 27. Find the common denominator of -67\/4 and (v\/(-9))\/((-40)\/y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and -3*(-4 + 16\/6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/107653 and -61\/503867.\nAnswer: 85153523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + -4*(1*sqrt(52) + -4 - (sqrt(637) + 0)*-2))**2.\nAnswer: -1792*sqrt(13) + 53444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:55 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or 6260?\nAnswer: 6260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k + 50999992 = 4*z, -4*k - 4*z = 40800008. What is k rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Suppose 5*d = 4*r - 61, d + 41 = 2*r + 12. Let y(z) = 14*z + 9*z**2 - r*z. Determine y(m(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31157 - 7943 = 24*i + 29*i. What is the highest common divisor of 5402 and i?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697572241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45864 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjj when three letters picked without replacement from cnjnempnppnpejn?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001075039922 rounded to 6 decimal places?\nAnswer: 0.001075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1269398 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 1 - 5 + 18*s as l + v*s and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 403 = -2*q, 0 = -s - 3*s + 4*q + 1576. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1111*n + 3356. Let m be j(3). Sort -3, 4, -0.3, -10\/13, m.\nAnswer: -3, -10\/13, -0.3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30503 - -30531. Solve -5*x + 33*x = -f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-31)*r*r*r\/((r\/((r\/(r**28*r))\/r))\/r*r)*r assuming r is positive.\nAnswer: r**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -1)) + -5 + 3 - -5*-1*(1 + sqrt(13)) - (-4*(sqrt(143) - (3*sqrt(143) + sqrt(143))))\/(3*sqrt(11)*-1).\nAnswer: -6 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 63937?\nAnswer: 703307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 150474, 150472, 150468, 150462, 150454, 150444?\n\"Answer: -s**2 + s + 150474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 3*l**4\/4 - 106*l**3 - 3*l**2\/2 + 318*l + 838. Solve c(v) = 0 for v.\nAnswer: -1, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263441\/7 - -37722. Let j be 2\/5 - (-43318)\/(-420). Let n = l + j. Find the common denominator of 115\/14 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 + 2 = 0. Let n be 3 + -1 - (d + 1). Let t = 1\/127 - 134\/889. What is the nearest to -4\/5 in t, n, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, -3, 3 in increasing order.\nAnswer: -5, -3, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 8. Determine i(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7784 divided by -1946\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -6, -25, -58, -111, -190?\n\"Answer: -o**3 + 2*o**2 - 10*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, 20*a - 22*a - 14 = -2*h. Let x(i) = -i**2 - 5*i - 2. Give x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 116. Let q(g) = 56. Calculate 6*f(j) + 10*q(j).\nAnswer: -6*j - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4527 - -4919. What is the highest common factor of z and 1192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 4939?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a + 6. Let p be v(-3). Solve -23 = 2*b + 5*c, -b - 2*b - 3*c - p = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160\/171 or 1?\nAnswer: 160\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Let q be ((-2)\/4)\/(1\/o). Suppose -q*y + 37 = v + 14, -y = -3*v + 48. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.279 + -0.579. Let r(i) = 2*i**2 - 15*i + 17. Let j be r(6). Which is the nearest to x? (a) j (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let z = -2.8 - n. Let i be 7\/(-5) - (2 + -4). Put i, -4, z in decreasing order.\nAnswer: i, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-552*t + 14654 - 14654)*(-7*t + 3*t + t)*(4*t - 4*t - 2*t) as g*t**3 + p*t + d + q*t**2 and give g.\nAnswer: -3312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39835 - -1205?\nAnswer: 41040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/(8\/(-30)) - 5. Solve -5*s + 0*p - 3*p + 32 = h, -2*s = -4*p + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.8. Let m = -133.677 + 129.677. Which is the closest to -2? (a) p (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151100, -302196, -453282, -604352, -755400, -906420, -1057406?\nAnswer: -1208352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 14*h**2 - 27*h - 11. Let a be (26\/(-3) - -1) + (-85)\/(-51). Is b(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 6 - ((89 - (-29 + 41)) + -2 + 3).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.01675, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 91\/21 + 2\/3. Suppose 4*j - 8 = 0, -2*g = 2*g - i*j + 2. Suppose -2*w - g*r + 0*r = -6, 5*w + 3 = r. Solve w = -2*y - 3*k + 19, 4*y + 1 = 2*k - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105950229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*d - 952*m + 947*m + 76 = -0*d, -3*d - 2*m + 163 = 0 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -w - j + 5*j, -2*w + j - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -342, -607, -872, -1137?\n\"Answer: -265*p - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19369914 divided by 7534?\nAnswer: 2571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6008 divided by -13.\nAnswer: -6008\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13.6 times -0.221\nAnswer: -3.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 36.31042 tonnes?\nAnswer: 36310420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(0\/3 + 1). Which is greater: j or -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73820 is divided by 12300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -3, -1 in increasing order.\nAnswer: -3, -1, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -13 + 0 + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23020 is divided by 1419?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 383, -38, -5, -1\/4, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from hyyrhyybbyyyy?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3\/2*a**2 - 4 - 5\/3*a**3 + 0*a. What is the second derivative of u(c) wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -55 - (3*-3)\/3. Let y be (-216)\/q - 4\/26. Solve y = -g - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let r(l) = -77*l - l**2 - 2 + 77*l. Determine r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*k + 3*t, -37 = -k - 2*t - 16. Suppose 4*y - 1 = 15. Suppose -y*l = l - k. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55437 + 7334 - 946 = -2015*h - 38925 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4224 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/49646957 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25223711267 take away -293?\nAnswer: -25223710974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 893019 - 23227591\/26. Let t = x + 350. Does t = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.202869 to 2 dps.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 7. Let z be a(5). Let n(s) be the first derivative of 8*s**3\/3 + 3*s**2\/2 - 4*s - 60. Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/6 - 115*o + 3. Let v(n) = n**2 + 533. Determine v(l(c)).\nAnswer: c**2 + 533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-3\/11)*f**(-4)\/(f**(-4)*f) assuming f is positive.\nAnswer: f**(-61\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117 - 119 - 13)*(-1 + 3 - 1)*(-4*w**2 - 6 + 11 + 3*w**2).\nAnswer: 249*w**2 - 1245","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891205, -1782411, -2673617?\nAnswer: -3564823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/22*(-32 + 11) and -20\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x + 67. Let b be m(-5). Let p = 25 - b. What is the greatest common divisor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 292 = 0. What are the prime factors of t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 39*v + 289631 = 44*v, -2*w + 3*v + 144777 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 872683843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-17 - -3) + 0 + -6 + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96734*0.028.\nAnswer: -2708.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, 3\/11, 5, 3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*p**3 - 4*p**2 + 1709*p**3 + 4*p**2)*(2*p - 2*p - 2*p).\nAnswer: -3772*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31699, 31908, 32143, 32404, 32691, 33004?\n\"Answer: 13*y**2 + 170*y + 31516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15527 (base 14) to base 11\nAnswer: -36a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(5 + -1 - (-20 + 19)). Solve -4*y - r = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*l + 2 + 51757*l**2 - 51757*l**2 - 6*l**3.\nAnswer: -6*l**3 - 469*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73953 and 2373800.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/9741 and -109\/442.\nAnswer: 253266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -330 + 329.6. Which is the third biggest value? (a) 0.2 (b) l (c) 14 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from kkpkkkkkkptpp?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5894523*r**4 - 2*r**2 + 1456747?\nAnswer: 141468552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g + 132. Give o(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-8) - 20\/160. Suppose -23 = -3*z + 3*g + m, 0 = 3*z + 5*g - 24. Let u = 4 + z. Solve 2*q - b = 0, u = 2*q + b + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -147 and -11.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 41344*a - 4042106. Calculate f(-98).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90599 divided by -2?\nAnswer: 90599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3976)*-6*(-2528)\/948.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14*(0 - (-18)\/(-7)). Suppose 2*s + b = 4*p, 4*p + 0*p + 5*s - 36 = 0. What is the greatest common divisor of 36 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1079.676um to nanometers.\nAnswer: 1079676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1203 + 9762 = 386*w - 17303 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 18*a**2 - 15*a - 8. Let k be x(8). Suppose -14*p + 11*p + 8817 = k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6) - 0) + 354\/(-531).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*d = -3, 36*g + 3*d + 1 = 37*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(2480\/15))\/(1\/(-2))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -210369 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2512725191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (6 - (-7 + 7))) + -1 + 19 - 4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of (-7)\/1 + (-97 - -2840)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 7*g + 5*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 21358180*l**2 - 42716348*l + 21358172.\nAnswer: -4*(l - 5339543)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + -2 + (sqrt(38)\/sqrt(2))**2*4 + (1*sqrt(475))**2*-1 + 1.\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-9))\/((28\/(-15))\/(-14)). Let s be 9\/((-9)\/3) - -18. Let u be (-10)\/s + 25\/6. Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 14*k - 22. Let z be d(-12). Suppose 20 = 5*p, -4*f - 48 = z*p - 3*p. What is the remainder when 43 is divided by (-167)\/f - (-5)\/(165\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/30 - 6\/(-15). Sort 1, x, 4.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -983 - -1219. What is the lowest common multiple of s and 20?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/7 (b) 0.2 (c) 1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 83*j**2 - 430*j + 28. Let g(b) = 152*b**2 - 858*b + 54. Calculate 6*g(d) - 11*v(d).\nAnswer: -d**2 - 418*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1023.248 + -15.948. What is m rounded to the nearest 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*b - 8 = 0, 5*o - 3*b + 1 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 3*r**2 - 4*r + 2. Let q(o) = -4*o**2 - 5*o + 3 - 2*o + 7*o + o**3 - 5*o. Suppose -15 = -6*h - 45. Give h*x(y) + 4*q(y).\nAnswer: -y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 155530977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/20 - u**4\/12 + 5*u**2\/2 + 2598*u. What is f(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 11*p**2 - 11*p + 4. Let i be h(4). Solve -2*j - i = 4*x, -2*j = 12*x - 7*x + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95311, 95310, 95309, 95308, 95307, 95306?\n\"Answer: -m + 95312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 7. Let m(h) = -11*h - 15. Let l(d) = -43*d + 4442. Let g be l(103). Determine g*u(r) - 6*m(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-44)\/(-246))\/((-960)\/900) and -65\/2952.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100101100010 - 100?\nAnswer: 10100100101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*-2*sqrt(20)*-6)\/(sqrt(160)\/sqrt(4) - sqrt(40)\/sqrt(64))*6)**2.\nAnswer: 5971968\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from eeeeeeeeeeeeeeeewee?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -557\/4, 0.1, 1\/942 in ascending order.\nAnswer: -557\/4, 1\/942, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 - -0.2. Let f = -168.9 + -15.1. Let x = 179 + f. What is the smallest value in -2, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104371, -104381, -104393, -104407, -104423, -104441?\n\"Answer: -y**2 - 7*y - 104363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 574 - 998. Let v = -532.5 - l. Let m = 108 + v. Which is the third smallest value? (a) -3\/8 (b) 1.9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46905724 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5644*-0.1.\nAnswer: -564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 10*l**2 + 3*l + 6. Give k(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let a = -2.2 + 2. Let j = a + -0.3. What is the nearest to s in j, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 4 + -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.963 + 0.117. Let a = y - 22.37. Round a to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119081 or -119039?\nAnswer: -119081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from ffjfffjfffffflfff?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 89, 1 in ascending order.\nAnswer: 1, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f + 345. Calculate h(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + -14. Suppose 0 = 3*o - 2*s - 812, 1068 = 2*o + 2*o + s. Let h = o + -255. What is the highest common divisor of x and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 21*y**2 + 8*y + 6. Let z(v) = -2*v**3 + 20*v**2 + 7*v + 5. Determine 5*l(j) - 6*z(j).\nAnswer: -3*j**3 - 15*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67 and -12.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -860 + 864. What is the remainder when 12 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:24 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -491*i**2. Let q(h) = 13427*h + 9. Give q(n(b)).\nAnswer: -6592657*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/15564850 and 47\/35.\nAnswer: 15564850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -10\/11 in descending order.\nAnswer: -10\/11, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((368\/6)\/(-8))\/((-1)\/(-3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, 43, 238, 567, 1066, 1771, 2718?\nAnswer: 3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3598 - 14*k - 3598 + (-1 + 0 + 2)*(2 - 2 + 3*k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 1 = -2*t + 6, 3*t - m = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**7\/10080 - h**4\/6 + 4*h. Let u(l) be the third derivative of k(l). Determine p so that u(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 c when four letters picked without replacement from cpccppcccccpcc?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871423809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {h: 1, b: 17}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122211121211 (base 3) in base 13?\nAnswer: 24b920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86185653.\nAnswer: 3, 19, 1512029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -3 - 33\/(-1). Let p = 46 - m. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/4))**(-23) assuming c is positive.\nAnswer: c**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -719 + 720. Let q = 1\/6 - 1\/2. Let a = 2.1 - 2. What is the closest to a in 0.4, b, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (368\/3128)\/((-5)\/85)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 7:38 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/267 - 12191\/534. Suppose -20*f + 24*f + 1572 = 0. Calculate the common denominator of (-4)\/((-144)\/f) + 1\/(-4) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645 by -3.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, 1 w, and 1 e when four letters picked without replacement from {o: 4, v: 4, q: 1, e: 4, w: 2, z: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 5. Let r be q(4). Let p = 16 + -22. List the prime factors of r\/p*2*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose 3*g = 17 - a. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 28.288719 nanoseconds?\nAnswer: 0.0000000000078579775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2\/4 - 2432*n - 87471\/4 = 0.\nAnswer: -9719, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 1284375.\nAnswer: 1284374.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1082 + -706. Calculate the greatest common divisor of 1316 and l.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otsbbsnoofs. Give prob of picking 1 n, 1 s, 1 o, and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39389 is divided by 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6000\/7 + 3\/7*i**3 + 600\/7*i + 15*i**2.\nAnswer: 3*(i - 5)*(i + 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(68) - (4 + (sqrt(68) - sqrt(68)*2)) - (0 + sqrt(68) + -1))*5 + 1)**2.\nAnswer: -180*sqrt(17) + 1781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 + 102*p**2 - 668*p + 9. Give m(7).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4144755 is divided by 1475.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:05 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.58, -2 in ascending order.\nAnswer: -2, -1, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n - 76. Let g be c(6). Let t be ((-18)\/75)\/(2\/(-20)). Let t*l**g + 9\/5*l - 3\/5 = 0. What is l?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300) + -3)**2.\nAnswer: 120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 - 11154*j**3 + 16567*j**2 wrt j?\nAnswer: 24*j - 66924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 65268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbbbibuubwi. What is prob of picking 2 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.7429 micrograms to tonnes.\nAnswer: 0.0000000000817429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from enuioeuli.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 8*p**2\/5 - 19*p\/5 + 6\/5 = 0. What is p?\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57600446 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -17 - (-4 - (7 + 7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(133))\/sqrt(7) + sqrt(57)\/(sqrt(48)*-1))**2.\nAnswer: 45*sqrt(19)\/2 + 1939\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22698064399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**14))**(-12)\/(q**(-19)\/(q\/q**(-2\/53))) assuming q is positive.\nAnswer: q**(-7842\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319597304*j**5 + 3*j**3 - j**2 + 66508807.\nAnswer: 19175838240*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*y**2 - 45*y**2 + 71*y**5 + 7*y**5 wrt y.\nAnswer: 4680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4464*p**2 - 26750*p + 37. Calculate a(-6).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t + 12. Suppose 3*v = -2*i + 46, -v + 4*i - 12 = -4. Let m be 21\/v - (-1)\/4. What is the highest common factor of t and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1776371 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and 331.\nAnswer: -926.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53115 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from {c: 2, o: 13, g: 3}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 28895035.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2. Let z be (-5)\/40*-4*64\/2. Let i(q) = 6*q**2 + 12*q - 8*q + z - 16. Calculate i(r(h)).\nAnswer: 6*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 30887.77 to the nearest one hundred.\nAnswer: 30900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.45566 + -0.5.\nAnswer: 5.95566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiif when four letters picked without replacement from {q: 1, k: 2, f: 1, t: 2, i: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, d: 12}. What is prob of sequence kdkd?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-15))\/(a\/a**(-2\/39))*(a**(-1\/4))**(-2\/17) assuming a is positive.\nAnswer: a**(-19919\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + -1)) + sqrt(304) + 4 + (-2*(-1 + sqrt(304)) - sqrt(304)) - -5*(sqrt(304) + 1 + sqrt(304))*1)**2.\nAnswer: 768*sqrt(19) + 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 14*r + 40 = 0. Suppose r*x - y + 471 = 3*y, -2*y = -5*x - 473. Let p = -476\/5 - x. Which is the nearest to -5\/7? (a) 0.3 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31950, -63898, -95846, -127794, -159742?\nAnswer: -191690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byb when three letters picked without replacement from yyovykynobbknvky?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + 18278\/(-999))\/((-16)\/432).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -4. Let l = 0.1 + d. Let g be 0\/(-2) - (-2)\/11. Which is the third biggest value? (a) 3 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccczttctccctttttt. What is prob of sequence tt?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 + 244 - (97 - (-1 - (-5 - (3 + -3)))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Suppose 4*f = 5*m + 10, 4*m - m = -3*f + 21. Is 402\/f + (92\/20 - s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8357 - -0.086?\nAnswer: -8356.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*j**2 + 38*j - 38*j - 6 as t + d*j + y*j**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-70))\/((-3)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**6\/15 + 3*f**3 + 10*f**2 + 42*f. Find the first derivative of x(c) wrt c.\nAnswer: 8*c**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 3 + 31 - 6*w + 4.\nAnswer: -11*w + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 875495?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/15)*w**13*w)**(2\/31) assuming w is positive.\nAnswer: w**(412\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 60 - 252 = 0. Is 81 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39880.2376 to the nearest 10.\nAnswer: 39880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1356235 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14944136.\nAnswer: 2, 1868017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.869 - 0.86. What is u rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.688398km?\nAnswer: 688398000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 - 14512*s\/9 + 26324768\/9.\nAnswer: 2*(s - 3628)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 12*p**2 - 11*p + 4. Let v be l(-11). Let d be 0 + ((-16)\/v - -9). Put -3, d, 14 in ascending order.\nAnswer: -3, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 145, 140, 135, 130?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let x(v) = -v - 2. Let h be x(-7). Let d(c) = -5 + h - c. Give z(d(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 4, 0.5, 0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5003772 decades?\nAnswer: 0.05003772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12 + 19\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 65, 165, 335, 593, 957, 1445, 2075?\nAnswer: 2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1156 - 36\/18. Let t = 9275\/8 - u. Calculate the common denominator of -83\/2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -1*(-4)\/(-16)*-52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-2 + 1 - 2)*(-i + i - i**2).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + w - 1. Suppose 2*p = -2*p - 8. Let x be j(p). Suppose k + 3*k + 8 = s, -s + 5*k = -x. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105475 is divided by 909?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - (68 + -13 - 14) - 17.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -371 in -1\/2, 0.3, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4 - 4)*(-1 - 1 + 1) - 117*f + 3 + 3733*f - 2 - 1.\nAnswer: 3617*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110101010010 (base 2) to base 8\nAnswer: 6522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 589 - 519. Calculate the smallest common multiple of m and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4459725?\nAnswer: 3, 5, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*v = -3*a + 16, 0 = v + 2. Suppose a*m - y = 24 - 8, 3*y = -3*m + 6. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 10. Suppose 0 = m*b - 4*l - 24, 0*l = -4*b + 3*l + 33. Calculate the smallest common multiple of 20 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {f: 7, k: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125513 + 10350?\nAnswer: -115123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -42 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4132777116 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87.5 - -47.2. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5083, 9908, 14733, 19558, 24383?\nAnswer: 29208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 275dac (base 14) in base 5?\nAnswer: 322022410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 7 - -1 - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/6 + 19\/6. Let u = 23106 + -23103. What is the second biggest value in 1, 5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*o = 313, 0 = -3*r + o - 0*o + 486. Suppose 0 = 6*q - 289 - r. Let h be 25\/2*1*2. Calculate the greatest common factor of h and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 24*g**2 - 13*g + 7. Let v(k) = -13*k**2 + 7*k - 4. Determine -3*i(d) - 5*v(d).\nAnswer: -7*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 1)\/(3\/567)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Does 12 divide (1\/s)\/(0 - 1\/699)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)\/(f\/(((f\/(((f**(-3\/7)\/f)\/f)\/f))\/f*f*f)\/f))*(f**0)**(6\/7))**(4\/7))**(1\/3) assuming f is positive.\nAnswer: f**(-44\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/3*-2*(-27)\/(-30). Solve 0 = -2*a + 6*a + p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -56*i**2 + 17*i - 47. Let r(q) = -27*q**2 + 7*q - 23. Let n(h) = 6*l(h) - 13*r(h). Let k(t) = -7*t**2 - 5*t - 8. Determine 13*k(s) + 6*n(s).\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qwmzhmazzzmhmamhwzwm?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5098 = -4*o, 0 = 3*o + 3*z + z - 3811. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + -9 - (66 + -66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468 or 475?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c - 1025 = 895 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 449057 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2. Let j(z) be the first derivative of 265*z**3\/6 + z**2\/2 - 3*z + 35. Let d(g) be the first derivative of j(g). Determine p(d(x)).\nAnswer: 140450*x**2 + 1060*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003623 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15*130\/(-104))\/(-1)*22*2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3203, 3205, 3207, 3209, 3211?\n\"Answer: 2*q + 3201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 9*z - 8. Calculate n(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, -6655 in descending order.\nAnswer: 4, 3, 1, -6655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70381 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c**2 + 53*c**2 - 238*c**2 + 63*c**2 + 66*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, v: 1, k: 3}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.767125 - 4.764. What is r rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.97 - -0.03. Let w = 56267 - 56263. Which is the second biggest value? (a) w (b) 4\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -34, -87, -160, -259, -390?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 3*r - r)*(-2*r - 3*r + 4*r)*(53*r + 4494 - 4479 - 33*r) as j*r**3 + u*r**2 + o + c*r and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 553024181*y**6 + 455633139*y**2 wrt y?\nAnswer: 66362901720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-31)\/o**(-1\/9))\/(o**7)**(-2\/31) assuming o is positive.\nAnswer: o**(-8492\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 62\/4 + -13. Let q = -7 - -21\/2. Put c, q, -7 in decreasing order.\nAnswer: q, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k + 1. Let t(v) be the first derivative of -2*v**4 - 7*v**3\/3 + 3*v**2 - 6*v + 5554. What is -6*j(w) - t(w)?\nAnswer: 2*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggghxleuuee. What is prob of picking 1 e, 1 g, and 2 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*n - 159*n + 34178 + 3406 = 437*n for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 141*j**2 - 6*j + 2. Let z be r(2). Suppose -706 = 5*s + 3*k, 0*s + 4*s - 3*k + z = 0. List the prime factors of (16\/10)\/((-7)\/s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by -24675.\nAnswer: 67\/24675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + 67. Suppose -4*l + p = h, -4*h - 60 + 425 = 3*l. What is the remainder when h is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/3))**44\/((s*s*s**(2\/27)*s)\/s**(-35)))**(-11) assuming s is positive.\nAnswer: s**(-10472\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-3) + 2 + 2865\/(-9). Let c = 348 + l. What is the highest common factor of c and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102722236186 - 102722236141.000000179. Let c = n + -45. Round c to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by (-138)\/(-161) + 63765\/945 + (-2)\/6?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -26, -24, -22, -20?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -230*z**2 - 234*z. Let q(u) = 2*u**3 + 229*u**2 + 233*u. Let j(d) = 3*h(d) + 2*q(d). Factor j(r).\nAnswer: 4*r*(r - 59)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144\/11 - 60\/11*t**4 - 444\/11*t**2 - 6\/11*t**5 - 234\/11*t**3 - 408\/11*t = 0. Calculate t.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 15) to base 7\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 5*i + h, -h - 2 = -2*i. Let k be 1 + (i + 1)\/1. Are 4 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, -1, -3 in decreasing order.\nAnswer: 27, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2\/15, -6, 21.5, 0.2.\nAnswer: -6, -4, -1, -2\/15, 0.2, 21.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4111, 32962, 111315, 263932, 515575, 891006?\n\"Answer: 4127*i**3 - 11*i**2 - 5*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, 64, 92, 120, 148?\n\"Answer: 28*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 59*v**3 - 3*v**2 + 2*v + 149. Let a(b) = 38*b**3 - 2*b**2 + b + 98. Determine -8*a(k) + 5*h(k).\nAnswer: -9*k**3 + k**2 + 2*k - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -544c2a (base 14) to base 8\nAnswer: -12712326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i - 16. Let m(b) = -164*b + 173*b - 8 - 3. What is -7*m(x) + 5*v(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/9 - -27*50\/(-6075).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5))**(-9\/2)*l**(-9)\/l*l*l**15 assuming l is positive.\nAnswer: l**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132311 - 55441?\nAnswer: 32430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 7864?\nAnswer: 15728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -40 - 49*j + 52*j - 133*j - 46*j. What is the tens digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 11*o. Solve o - 5 = -4*c + n, -22 = -5*c - 4*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3\/4 - 215*z**2\/4 - 1205*z\/2 - 550 = 0.\nAnswer: -22, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, 1 l, and 1 j when four letters picked without replacement from {z: 7, l: 1, p: 2, j: 1, h: 8}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/21 - 112\/(-222). Let m = -1283\/74 + r. Calculate the common denominator of m and (-228)\/(-16)*2\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 41 = -5*i, -5*i = 2*v - v - 39. Calculate the remainder when 13 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (10 - (17 + 19)) + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 8 in increasing order.\nAnswer: -5, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from nnalzfn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79*x**2 - 79*x**2 + 22*x**4 + 3*x**4 - 2*x**4 + 3*x**4 + x**4 - 2*x**4 + 0*x**4 + (x**2 + x**2 - 3*x**2)*(0*x + 2*x**2 + 0*x).\nAnswer: 23*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -356, -352, -346, -338?\n\"Answer: v**2 + v - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avva when four letters picked without replacement from avavav.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/7 + 25*a**4\/7 + 46*a**3\/7 - 2*a**2\/7 - 47*a\/7 - 23\/7 = 0. Calculate a.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4569698km to micrometers.\nAnswer: 456969800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 6:19 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 865389.1mg?\nAnswer: 865389100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 5*m. Let k be o(6). Suppose 5*z = 3*g - 151, -z - g + 15 = k. Let i = -54 - z. Is -24 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003474656 to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -47*q**3 + 22*q**2 - 25*q - 27. Is i(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + j + j)*(4392 - 22*j - 2133 - 2138) as r*j**2 + h*j + i and give h.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61936 is divided by 5628.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/37)\/u)\/u)**(-3\/8)*u**18*u**15)**(-26) assuming u is positive.\nAnswer: u**(-32448\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 9*v + 4. Let h be n(-7). Let x be (-3)\/5 + (-6)\/h. Suppose x*q + 52 = 4*y - 5*q, -2*q - 28 = -2*y. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358 - 358 - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 3:03 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -457?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 2*v**2 + 3*v - 2. Let c be o(3). Let k = 59 + c. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 4797312.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from ppueuxex.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 - 23*y - 2. Let z(k) = 11*k**2 - 71*k - 6. Calculate 17*d(c) - 6*z(c).\nAnswer: 2*c**2 + 35*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4656678 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 2, u: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14814045 rounded to 3 dps?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (104\/78 + (-84)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 345194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:48 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4024600?\nAnswer: 2, 5, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 18 = 10*c. Suppose -5*j = d - 19, -4*d + 8 = 4*j - j. Solve o - j = c*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*b**5 - 345*b**2 wrt b.\nAnswer: -12600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkrskrrryrrrskrcr. What is prob of sequence sr?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149.6*3.\nAnswer: 448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + (26 - (-21 - -42 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 98, 204, 342, 506, 690, 888, 1094?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(5\/(-10)). Let d = r - -22. Solve 1 = 4*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Let t(d) = 55145*d. What is w(t(p))?\nAnswer: -110290*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10164 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2258 by 1.\nAnswer: -2258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 - 1 = 0. Let r = 0.05 + -0.15. What is the biggest value in r, -5, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 278000 and 163881000.\nAnswer: 327762000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z**2 - 1042*z - 277. What is b(-61)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2063763698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107c (base 15) in base 2?\nAnswer: 110110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 7*l - 1197. Does 17 divide x(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 956a11?\nAnswer: -956a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 3.61. Let j = o + -0.11. Let a = 957 - 954. What is the second biggest value in 3\/4, 2, j, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*d + 186, 2*d = -0*d + 5*o + 137. Suppose d = 2*y - 51. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -455701\/26 bigger than -17527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130)\/12*192\/(-640)*-4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 157978371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 877\/(-19) + (996 - 950)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - 5\/(-10)*0\/(-1). Solve 195 = -n*h + 183 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1638.4 * 0.383.\nAnswer: 627.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -15.049\nAnswer: 105.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -25*z + 20. Suppose z = -6*w + 8*w. Let -5*a**2 + a**w + 24*a**2 + 40*a**2 + 16 - 56*a + 4*a**4 - 26*a**3 = 0. What is a?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -9, 115, 0 in descending order.\nAnswer: 115, 0, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 353\/(-1508) + (12\/4)\/12. Let g = i - -20244\/7163. Calculate the common denominator of 27\/7 and g.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - (41 - 1)) + 33.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (-2338)\/(-44) - 1778\/(-2772).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6)*-3 + (-57)\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.6475 millimeters to meters.\nAnswer: 0.2066475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 7303226?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 0*o**3 - o**3 - 23*o**2.\nAnswer: -o**3 - 23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(24\/(-30) - 2\/10). Suppose -5*x + 132 = -q*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by (47\/1)\/(-49 - -50)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + -80. Let q be -3 - (179 - -2)*d\/(-3). Suppose -4*r - q = -5*r - 4*t, 4*t + 16 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 2*r**2 + 3*r**2)*(-2*r**2 + 5*r**2 - r**2) - 12*r**4 - 221*r**4 - 409*r**4.\nAnswer: -646*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*j, 4*w = -5*j + 3 - 12. Let o(a) = a**2 - a - 240. Let t be o(0). What is the lowest common multiple of w and (-2)\/15 + (-2912)\/t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 5*b**3 + 14*b**2 - 24*b - 19 - 5*b**2. Let j be m(-11). What is the third derivative of -63*i**4 + 63*i**4 + j*i**2 - 23*i**6 wrt i?\nAnswer: -2760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/((-4)\/(105 - 1)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 9*g + 4*g + 66860, -4*u + 53506 = -5*g. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 7*p - 1. Let g be x(6). Let a be 3724\/252 - 2\/(-9). Suppose a = g*q - 45. What is the remainder when 59 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.348 rounded to zero dps?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -17. Let g be ((-2)\/6)\/(r\/12). Find v such that -4\/5*v**3 + 0*v + g*v**2 + 0 + 2\/5*v**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/198*33\/(-22). Which is the second smallest value? (a) f (b) -1\/29 (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 5*w + 9. Let d be o(6). Suppose -i = y - 3*y, 5*i + 5*y + d = 0. Is 15 a factor of 0\/1 - (-18 + i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j**2. Suppose -9*x + 151 = 25. Let t(k) = 3*k**2 - k**2 - k + 2*k**2 - x*k**2 + k**2. What is z(t(o))?\nAnswer: 648*o**4 + 144*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3337 - 1512. Let l = q - 1140. List the prime factors of l.\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 20*p - 13. Let f be o(6). Let b = f + -76. Calculate the remainder when b is divided by (1 - 2)*-2*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 44*w**3 + w**2 + w - 1. What is the tens digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-48))\/((-16)\/(288\/54)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 - 21?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*d = 1246 + 707 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, a: 14}. What is prob of sequence adda?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 11*f**2 + f. Let n be w(-4). Suppose n*m - 17271 = 71949. Suppose 0 = 2*k + m + 6345. Round k to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:11 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 2. Let m(t) = -t**2 + 13*t - 7. Let k(z) = -m(z) + 6*q(z). What is k(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 = l + 4, 4*y + 27 = 5*l. Let o be -3*(-5)\/l*1. Suppose 26 - 6 = -5*k + 3*v, o = v. Which is greater: -4\/5 or k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66227440 divided by -4\nAnswer: 16556860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/4 - 1. Let u = -0.6 + 0.63. Let m = u - -0.37. Which is the third smallest value? (a) f (b) m (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m. Let v(d) = -2. Let u be (-4)\/(-2) - (-2 - -6). Determine u*a(s) - v(s).\nAnswer: 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 265\/(73670\/1668)*2\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + 2 - ((-1432)\/64 - -14)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 5*h - 7. Let a(d) = 3*d**2 + 36*d + 17. Let o be a(-16). Suppose 0 = -6*u - 5*u - o. Let w be 2\/1 + -6 - (-18 - u). Give t(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 4*t - 1. Let f(n) = -n**3 + 5*n**2 + n. Let c be f(5). Let k be x(c). What is the derivative of -3*d**4 - 1 + d**k - 2 wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71780\/7941 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 5741288*a + 51671430.\nAnswer: 2*(a - 2870635)*(a - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -773, 0.0816, 5 in decreasing order.\nAnswer: 5, 0.0816, -773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 1018*k - 6067. Let f be l(6). Which is the smallest value? (a) f (b) -897 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:19 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*1*sqrt(832) + sqrt(832) + 5*(sqrt(832) + (sqrt(832) + 1 - sqrt(832))))**2 + (sqrt(832) + -3 + 2 + -1 + -3 + sqrt(832))**2.\nAnswer: 400*sqrt(13) + 44142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 8)*2\/(-3). Let z be 11\/(-7) - (c + 2). What is the third smallest value in 0.2, -2\/13, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 3) + 3 + 7 + -7 - 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 69, 110, 149, 186, 221, 254?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-1 + 4 + -2 + 9) - (-11 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*6*5\/(-10). Let i = -10 - t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29142171 divided by -9714057.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/852039 and 10\/20569.\nAnswer: 261575973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2032 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56533205?\nAnswer: 5, 11306641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((((i\/(i\/i**(-4\/5)*i*i))\/i)\/i)\/i))**(-4\/3)*i**(3\/11)*i**25 assuming i is positive.\nAnswer: i**(2674\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86791499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by -85.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 63. Give g(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15884 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 119451?\nAnswer: -119459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*n + 2*n. What is the remainder when (-1 - -49) + (-68)\/(-85)*5 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 + 27)*(1 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Let k(s) = s**2 - 6*s - 15. Let l(n) = -2*a(n) - k(n). Let v be l(7). Sort -1, 0.08, v, 2\/15 in descending order.\nAnswer: 2\/15, 0.08, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**4 + 32*s**3 + 35*s**2 - 112*s + 75. Let p(g) = g**4 + 8*g**3 + 9*g**2 - 28*g + 19. Let q(w) = 6*d(w) - 22*p(w). Suppose q(y) = 0. What is y?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*x - 2155 = 0, -q - 3570 = -6*q + x. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (448\/24 - 16)\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + 2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19964, -39489, -59016, -78545, -98076, -117609, -137144?\nAnswer: -156681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zruruzzzzrzrrzz. What is prob of sequence urz?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-61240)\/900 - -68)\/((-2)\/(-7)))\/((-14)\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:35 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 51*r**2 - 3*r + 129. Let p be u(51). Sort -2, 1, p, 4, 10 in decreasing order.\nAnswer: 10, 4, 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/3 - d**2\/2 - 62*d. Let w(o) = 18*o - 8. Let m(s) = 3*w(s) - 24*x(s). Let p(q) = 17*q. Determine p(m(v)).\nAnswer: 102*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p - 20*p + 7 + 6*p)*(1 + 1 - 3).\nAnswer: 3*p - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-180))\/(-1))\/((-1)\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 2)*(-1 - 3 + 2)*(12 - 9*x**4 - 12).\nAnswer: -126*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 88\/383, -2706.\nAnswer: -2706, -1\/4, 0, 88\/383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/110541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from guhhcda.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/1 - -8 - 1. Let z be 3 + -28*-3*o\/18. Suppose 4*u - 15 = y, -2*y + 5*y + 12 = u. Solve 0 = u*a + z - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + c - 12. Let o be g(-4). Suppose 4\/9*i**3 + 0*i + 2\/9*i**2 + o + 2\/9*i**4 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 46. Let j = w + 39. Calculate the least common multiple of 15 and j.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21078622.\nAnswer: 2, 71, 79, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x. Let f(l) = l - 1. Let s(k) = -2*f(k) - v(k). Let c(j) = -j. Calculate c(s(b)).\nAnswer: 32*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqdmvvdqqqqvdeveqdqd. What is prob of sequence de?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 9*r - 11. Let g be 5\/((-5)\/r) + 185. Suppose a - 5*p = 62, -2*a = p + 4*p - g. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 28*v - 70. Determine d(15).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.44398 millilitres to litres.\nAnswer: 0.04544398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 668. Let b(q) = -764*q + 14. Give b(z(u)).\nAnswer: 3056*u - 510338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/5 - 294*q**3\/5 - 573*q**2\/5 + 294*q\/5 + 576\/5 = 0. What is q?\nAnswer: -96, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*f - 126 = 0, -3*a - 7 - 77 = -4*f. Let q = -3 - a. Let b = -98 - -106. Calculate the remainder when q is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**3 + 72*s**2 - 156*s**2 - 1 + 74*s**2 - 65*s**2 + 5*s**2 + 70*s**2.\nAnswer: 18*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5040)\/216*(24\/98)\/(28\/(-98))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 2, y: 1, t: 1}. What is prob of picking 1 y and 2 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 18, 5 in ascending order.\nAnswer: 5, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 2*m**3 + 0*m**3)*(8*m + 22*m + 6*m).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.1. Let s = -648 + 665. Is s at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 2*d + 2*d. Suppose -2*q - 2 = -10. Is 11 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:52 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 42.8. Let u = 20 + -13. Let i = 3 - u. Sort i, -0.5, b in decreasing order.\nAnswer: b, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4 + 302*l**3 + 1738*l**2 - 28158*l + 60840 = 0.\nAnswer: -13, 3, 5, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Suppose 5*r = -l + 18 - 58, 3*r - 28 = 2*l. Let u be l\/12*-3 + 0. Solve u*d = 4*h - 29 - 12, p*h - 5*d - 33 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38807 + 38824. Let q(k) = -k**3 + 18*k**2 - 25*k + 25. What is q(t)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -128, -129?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*x - 45 + 33 - 62*x)*(-x**2 + x**2 + x**2).\nAnswer: -15*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319089?\nAnswer: 3, 106363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4255132?\nAnswer: 2, 7, 151969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 - 3*i. Let l(a) = -3*a**2. Determine l(p(o)).\nAnswer: -27*o**4 - 54*o**3 - 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 20380759*f. Let p(s) = 2*s**2. Determine p(q(w)).\nAnswer: 830750674832162*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 1193 = -52*k, 52*v + 75 = -3*k + 50*v for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = -9*b. Let w be b + (18\/4 - (-6)\/4). Suppose -45 = 3*k - 3*l, 6*l + w = l. Find the common denominator of -51\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/33 - (-6 + (-7504)\/(-1320)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from bnllnblvln?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13\/3 - (-10 + (-21)\/(1890\/(-885)))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 111 (c) 0.4 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*l**5 - 121*l + 2 wrt l.\nAnswer: 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 4*s**3 - s**3 + (-s**2 - s**2 + 0*s**2)*(-s - s + 3*s) + (-3*s + 3 - 3 + 1)*(s**2 + 0*s**2 + 0*s**2).\nAnswer: -7*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6711981, -6711910, -6711839, -6711768?\nAnswer: -6711697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -563 + 1812. What are the prime factors of j?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793 is divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {t: 3, h: 6, v: 5, k: 2, o: 1, g: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -3*u, -3 = -3*u - s + 5. Let p be (0\/(-1))\/1*(-1)\/u. Solve -3*n - 5 = -3*d + 2*d, -2*d - 4*n + 10 = p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5))**14*(a*a**(1\/4))**(-5\/12) assuming a is positive.\nAnswer: a**(-797\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**2 + 29*u**6 - 5*u**2 - 7*u**2 - 6*u**6 wrt u?\nAnswer: 2760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1.14, 0.181?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 333*i - i**2 + 2*i**2 - 328*i + (-5*i + i + 3*i)*(2 - 2 + 2*i).\nAnswer: -i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phf when three letters picked without replacement from pdhfhphhpp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1936 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**3\/3 + 2*c**2 - 4*c. Let h be p(-5). Calculate the smallest common multiple of -2 - (-6 + (h - -3)) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*v + 1222 = 358 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(352))\/sqrt(8))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6235 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 6. Let n be u(-4). Solve -n = -3*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*h - 45 = 0, 4*b + 5*h = -b + 50. Let v be 2 + 2 - (4 - b)*1. Suppose -3*g - 5*y + 4*y = -94, v*y - 129 = -4*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 346 + 331. Suppose -v*i - 2256 = -6*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.5, -0.3, 1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 18. Let d be l(12). Suppose -7*u - 3 = -d*u. Sort u, -0.5, 3.\nAnswer: u, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeezeeezzezzee. Give prob of sequence ze.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/556971?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - g = -4, 863*i = 865*i - g + 3. Let h(r) = -15*r**2 - r + 2. What is h(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15717754 + -5?\nAnswer: -15717759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 261132?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**34*w**(-3\/10)*w*w*w assuming w is positive.\nAnswer: w**(-303\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 28509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2682 - -147489\/55. What is the common denominator of -14\/95 and y?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + -1 + sqrt(19).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -5) + 0 + -2 + 6 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*w**3 + 289*w**3 - 602*w**3.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*k**2 - 462*k**2 - 1324*k**2 + 9*k - 9*k.\nAnswer: -1512*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -20 + 11 + 4 + -118 + 16.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-245)*(-8)\/((-96)\/(-42))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12343180\/19 or -649641?\nAnswer: -12343180\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:00 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225831 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139)\/((-10703)\/77)*((-18)\/8)\/3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (220*o - 115*o - 111*o)*(-7 - 4 + 1) + 3*o + 0*o - 4*o as r*o + c and give r.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, -1.216, -1\/11, -2 in descending order.\nAnswer: -1\/11, -0.5, -1.216, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -7166, -3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 8*y - 748 = -6*y. Let z(k) = 17*k**3 + 6*k**2 + 6*k. Let t(g) = -52*g**3 - 17*g**2 - 17*g. What is y*z(q) + 6*t(q)?\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -22 + 4\/16*80. Let f(q) = 987*q + 105. Let j(u) = -19*u - 2. Determine z*f(p) - 105*j(p).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 + 91. What are the prime factors of k?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 988, 2988, 6790, 12994?\nAnswer: 22200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o - 1. Let y(r) = r**2 - 9*r - 3. Suppose 0 = 3*h - 6. Let j(m) = 0*m**h - 5 + 8*m - 3*m + m**2 - 4. Let d be j(-7). Determine d*a(l) - 2*y(l).\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 + -1029\/4. Let y = 0.1 + -0.1. What is the fourth smallest value in q, y, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7887017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1086890 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1480*s**2. Let i(j) = -j**2. Give g(i(u)).\nAnswer: 1480*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16916*19.\nAnswer: -321404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 11:54 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 7:46 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*w = o + 12, -3*o + w = -8. Solve o*r = 4 + 2, 4*r = -4*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 215584?\nAnswer: -215611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-51) + (-4)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0216 times -186.315\nAnswer: -4.024404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1705206\/271285 - -2\/38755. Factor k*g + 72\/7 + 4\/7*g**2.\nAnswer: 4*(g + 2)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 254579.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 16) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 0.5, -16, 0, -1, 2, 6\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Let u = 451108037\/84360 + -594938\/111. Let n = u - -1\/95. Calculate the common denominator of n and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + h - 8 = 0, 4*h + 4 = 2*p - 0*p. Let n(s) = -3*s**2 - 2*s**2 + p + s**3 - 4*s + 3*s**2 + s**2. What is n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:52 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -2*x**4\/45 - 7*x**3\/9 + 3*x**2\/5 + 3*x - 109. Factor r(c).\nAnswer: -2*(c + 9)*(4*c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, 881, -2, 131 in increasing order.\nAnswer: -5, -2, 0, 4, 131, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 45*a - 45*a - 9 + a**2 to u + r*a + j*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**(-43)*(p**(2\/3))**(-6\/11) assuming p is positive.\nAnswer: p**(469\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9254747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 9*d + 5. Let l be f(-9). Solve -2*b = l*r - b - 14, -12 = 2*r - 4*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 4*i + 2*i + 3*i - i - 4*i + 3*i - i - i - 2*i + 3*i + 0*i + (0 + 2 - 4)*(i + 2*i - i))*((5 - 2 - 8)*(4*i - 3*i + 0*i) + 11*i + 1 - 7*i - 2).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let w be j(3). Let p(x) = 1 + w*x - x**3 - 2*x + 3 + 3*x**2. Let b be p(4). Solve 9*d - b*d + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47830 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154533 + -5?\nAnswer: -154542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + 63*h = 385 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146.749 + 0.251. Let r = u - 149.93. Let v = r + -0.07. Which is the third biggest value? (a) 1\/3 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/62 - (872\/62 - -8). Which is the closest to 0.3? (a) 5 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i. Let a(o) = -1324*o - 2. What is a(t(s))?\nAnswer: 13240*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*s = 3*s - 9679, 3*s + 3228 = d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12959248 + 19656006. Let y = 2626758 - m. Round y to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -18 + 88 + -27 + -4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z**4 + 0*z**4 + 2170*z - 2171*z + 16*z**5 wrt z?\nAnswer: 320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(-7)*v*v*v\/((v*v*v**(3\/2))\/v)*v*(v*v**7)\/(v\/(v**(1\/10)\/v)) assuming v is positive.\nAnswer: v**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 + 15*z**3\/2 - 69*z**2\/2 + 97*z\/2 - 21.\nAnswer: -(z - 7)*(z - 6)*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*f - 5 = 0, 0*z + 3*f - 9 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4934?\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15470 and 13195?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 3*t + 1. Suppose -5*u - 271 = -261. Let q be b(u). Solve -2*i + q*h = -2, -3*i + 16 = 2*i - 2*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 876*r**6 - 2*r**2 + 184*r wrt r.\nAnswer: 105120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 293 divided by -128747\nAnswer: -293\/128747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 9684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 11) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24135498655416 - -0.8.\nAnswer: 24135498655416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 16. Suppose -3*a + 25 = -s, -w*a + 35 = a - s. Suppose a*j - 8*j = 40. Calculate the lowest common multiple of j and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/11 + 453930*l**4\/11 - 18*l**3\/11 - 4085370*l**2\/11 = 0?\nAnswer: -226965, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 67*f**3 + 3*f**2 - 25*f + 29. Let l be p(3). What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 49*g**5\/4 + 26831*g**4\/2 + 114837*g**3\/4 + 19678*g**2 + 4372*g = 0.\nAnswer: -1093, -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*l - 53, l - 31 + 53 = 2*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {z: 5, n: 4, a: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-90)*10*3\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 355, 450, 545?\n\"Answer: 95*t + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 - -3) - ((-1 - -2) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58544, -117089, -175640, -234197?\nAnswer: -292760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {q: 6, m: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196253 + 0.115.\nAnswer: -196252.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000946622284 to 7 decimal places.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 - 176. Suppose 202 = u - 2*h, -4*h = q*u - 399 - 157. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + 3*t - 2. What is the least common multiple of 8 and r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 456\/(-80)*(-3)\/(-45) and 39\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 170567, 48, -1 in decreasing order.\nAnswer: 170567, 48, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 997036961 to the power of 1\/2, to the nearest integer?\nAnswer: 31576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + x)*(-7*x + 0*x + x)*(-4555*x + 4305*x - 6023*x - 4424*x).\nAnswer: 64182*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 6. Let u be 300\/45*(-30)\/4. Let s = u + 45. What is k(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(1\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257.824 + -258. Let p = -0.824 + a. What is the closest to p in -4, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*v = 2*v - 20, 0 = -2*k - 2*v + 12. Suppose 4*t + k*d = -750, -3*d = 3*t + 687 - 132. What are the prime factors of ((-2)\/5)\/(2\/t)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448997 divided by -153.\nAnswer: 448997\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 44. Let z(g) = -4*g**3 + g. Let r be z(-1). Solve -t - r*t = 3*s - 5, -t + 4*s = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:42 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-24)*4\/2*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9908 is divided by 2471?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 200\/(-14) - 14\/(-49). Let m = 0 - t. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c**3 - 6*c**2 + 0 - 17 + 19*c**3 to w*c + b*c**3 + n + g*c**2 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -30*y - 40. Let c(b) = -9*b - 13. Let o(p) = -14*c(p) + 4*n(p). What is o(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and 945.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/11 - 30478*g**2\/11 - 116098320*g\/11 + 116128800\/11 = 0. What is g?\nAnswer: -7620, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63222147*q**3 + q**2 + 30375*q - 939 wrt q.\nAnswer: -379332882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*(-20)\/25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*r - 455*r + 260550 = 0. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-582)\/(-1455) + 118\/5. Let i be (0 + 81)\/(2\/8). What is the highest common factor of i and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 182. Calculate the remainder when m is divided by (-6)\/33 + 435\/(-6)*2\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28600 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7757 is divided by 3634.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 14*x - 9. Suppose -18 = -5*r - 2*s, r + s = 2*r + 2. Let q be (r*4)\/(-2)*(-39)\/26. Let u be p(q). Solve c - u = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -2\/105*g**5 + 0*g**3 + 0 + 0*g + 27*g**2 + 1\/42*g**4 + 4\/735*g**7 - 1\/210*g**6. Determine k so that v(k) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -440 - -8358\/19. Which is the nearest to -1? (a) p (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5201 + -5195. Solve 9*y + r*j - 40 = 5*y, 0 = -y - j + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*0\/(-5). Suppose m = h - 22 - 29. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 15 = -7*x. Suppose z + 5*f - x = -3*z, 2*z = 3*f + 13. What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from dddddwddwiddddwdidwi?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 723421\/2 + -361673. Determine d, given that 18 + x*d + 21*d**2 + 3\/2*d**3 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49767.29 microseconds to milliseconds.\nAnswer: 49.76729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436.7 - 437. Sort -1, -1\/127, y, 1\/2 in ascending order.\nAnswer: -1, y, -1\/127, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(12))\/sqrt(6) + 1)**2 - (5 + sqrt(18)\/(sqrt(9)*5)).\nAnswer: 29*sqrt(2)\/5 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 41 = -3*p, -n - 2*p + 17 = -4*n. Suppose -141*u + 132*u = -225. Let a = u + n. What is the smallest common multiple of 7 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12, -2*p + 23*u - 19*u - 10 = 0. Solve -2*l = 3*h - 3 - p, l = -2*h + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 453324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxy when four letters picked without replacement from {x: 6, y: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by 147?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*i - 59*i - 2 + 22*i**2 + 3 + (-39 + 39 - 15*i**2)*(-1 - 2 - 1) to r*i**2 + u*i + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from mjjjmmjxmjjjj?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d - 866 - 3384 = -646 for d.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5700 and 67\/1900.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -43*m + 7. Let y be q(-7). Suppose 5*p - y - 77 = 0. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 - -1888\/9. Let s be (-1)\/((-6)\/((-198)\/(-3))). Which is the second biggest value? (a) -4 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-30))\/(11\/(-44)). Which is the second smallest value? (a) q (b) 1\/8 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1045 - 526. Suppose 5*g = 1216 + r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -13*y + 26. Suppose 0*z = -3*z - 3*n + 249, -y*z + 2*n + 170 = 0. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*7\/63?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18137923 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 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: What is the thousands digit of 24817072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3011\/14 or -216?\nAnswer: -3011\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 7. Let b(h) = h**2 - 12. What is a(b(t))?\nAnswer: -t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/(sqrt(9) + sqrt(144)))\/(sqrt(75)*-2) + 3 + 4 + 0.\nAnswer: -sqrt(19)\/50 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 4) to base 12.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = -1252 + 82. Suppose -r*t = -60*t - 42000000. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1440)\/120 - 1*-75. Calculate the greatest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 58?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -2, 0.3, 70, -0.12, -27?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a factor of 70491091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 + 44. Let b = -159 + s. Let w = 72.0048 - b. Round w to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 4548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - (-5 + 0)) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*s**3 - 132*s**3 - 124*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1614 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141200 (base 5) in base 2?\nAnswer: 1011010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 - -2 - (7 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 - -1. Let k be 16005\/(-270) - 2\/9. Let b = k + 60. What is the closest to b in y, -6\/11, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/20 + u**4\/4 + 4*u**2 + 8*u. Let d be p(4). Is ((-43)\/(-3))\/(d\/(-48)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1254*b**5 - 370*b**2 - 2 wrt b.\nAnswer: 75240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 2*z**2 + 2*z**2)*(-141 + 8*z + 141 + 2*z**2).\nAnswer: -4*z**4 - 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - f = 11, 0 = 5*v + 10*f - 15*f - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 11. Let r be j(-10). Suppose -6*a = -3*a - 4*s - r, 3*s = -2*a + 12. Let f = 19 - a. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35816 * 1.27\nAnswer: 45486.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 5719512*l + 28623715328376.\nAnswer: 2*(l + 10009146)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) 0 (c) 5 (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 202642547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -0.1, -5, -4, -23\/3, -3113.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (9 - 1) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*q*r**2 - 4*c*q*r + 66*c*q + 2*q*r**2 - 5*r**2 - 2 with respect to c.\nAnswer: q*r**2 - 4*q*r + 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13351078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 34 - 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -6)*1638\/(-1386)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -195719*z**2. Let c(m) = -m. Calculate c(g(w)).\nAnswer: 195719*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1320001\/6 + ((-5)\/(-6) - 1). Round t to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555731576 is divided by 2587.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {p: 7, w: 1, u: 2}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29.3, -0.2, 9582?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10*h\/(h**6\/h))**(-20) assuming h is positive.\nAnswer: h**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w - 5. Suppose -3*v + 2 = -4. Let n(d) = 0*d**2 + 3*d**2 - 2 - 2 - 2*d**v + 2*d. Calculate -6*m(y) + 7*n(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 629 - 677 = -2*n + 8*n, 0 = 4*n - 4*f + 64 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, 907, -5\/6, -1, 3\/2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 12) to base 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, s: 14, v: 1}. What is prob of sequence sss?\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1219965 - -2236195786\/1833. Find the common denominator of m and 59\/33.\nAnswer: 20163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4471 is divided by 4453.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5820102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84135413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/6 - r. Let j(g) = -3*g**2 - 5. Let k(h) = 4*h**2 + 10*h - 21*h + 6 + 11*h. Let a(z) = -6*j(z) - 5*k(z). Give a(n(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9768499 is divided by 3002?\nAnswer: 2993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**3 - 6*k + 1. Let c(q) = 3 + 4*q + 21*q**3 + 0*q + 17*q**3 - 8*q - 13*q. Determine -6*c(u) + 17*x(u).\nAnswer: -7*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 18. Let o be (c\/2)\/((-6)\/(-40)). Let v = -6 - o. What is the closest to 1 in -0.5, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 50 = -o. Suppose -p - 1 = -3. Suppose o = -p*z + 4*z. Solve 0 = 5*h + 10, -2*h + 4 = z*f - f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -20c?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-2 + (-5 + 1 - (-32 - -27)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 7*i + 25)*(-2*i + 0 + 0) - 7*i**2 + 2*i**2 + 7*i**2 in the form g*i + v + r*i**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19860 + 8027. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/(23 - 5) + 11 + 36\/(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 24*z + 25. Let d(o) = -19*o + 54. Let y be d(2). What are the prime factors of t(y)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1710)\/3780 + (-6)\/(-21)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 21557.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1476447.257 - -1477072. Let r = y + -625. Round r to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4504 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -52 - 59 - 2*h + 114. Let q(f) = 3*f - 5. Let o(w) = -2*w + 1. Let b be o(-1). Let t(z) = b*q(z) + 5*l(z). Let n(g) = -g**2. What is n(t(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/4 + 547*a\/4 + 545\/2 = 0.\nAnswer: -545, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.4848ug in kilograms?\nAnswer: 0.0000008994848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -968 - -6780\/7. Sort o, -0.5, 115, 1\/4 in descending order.\nAnswer: 115, o, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 8:01 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-31 - -1) - -5. Suppose -l*g = -1085 - 1125. What is the remainder when 170 is divided by g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70053728)\/(-72) - 15 - (-2)\/45*-10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/4 + (-15)\/(-10) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4521515 is divided by 5024.\nAnswer: 4939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 + 3*b - 3 + 9 - 9*b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33827 + 33824 + 43*n - 150*n - 67652.\nAnswer: -107*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 4*s**2 - 8423 + 8350)*(s - 1 + 1) to d*s**3 + i*s**2 + c + l*s and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -48*r + 217*r - 4*r**2 - 96*r + 83*r + 215*r. Let a(k) = -k. What is a(d(b))?\nAnswer: 4*b**2 - 371*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 938 and 1340?\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t - 22. Suppose -x + 3*u + 21 = 2*u, -4*u = -2*x + 52. What is the remainder when r(x) is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -214 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2*(-16)\/12. Sort 6, -5, -2, g in decreasing order.\nAnswer: 6, g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0836879361 to 3 decimal places.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmmmmbgmgmpmm. What is prob of sequence pmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6090544 less than -6090544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4dc4 (base 15) to base 6\nAnswer: 204521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5640*j - 5639*j = t - 14, 3*j + 81 - 24 = 6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*1*3 + sqrt(162) + -1 + sqrt(162) + -2.\nAnswer: -3 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 7. Let j be q(-11). Suppose -3*x - 6 = -j*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(13\/4)*o*o**(2\/81)\/o)**39 assuming o is positive.\nAnswer: o**(13793\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21243202 + 52?\nAnswer: 21243254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -7*c + 5810*r - 5806*r - 71, 5*c - 5*r = -125 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -17, -7, 1, 7, 11, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + 14 + -2 + -61 + 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1463*i**2 + 2068*i - 2321. Let z(p) = -17*p**2 - 24*p + 27. Let k(f) = -6*g(f) - 517*z(f). Let o(u) = -6*u. What is k(o(q))?\nAnswer: 396*q**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1589917053 or -1?\nAnswer: 2\/1589917053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 4\/22411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3645\/(-297))\/((-6)\/11))\/15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 + 6*n - 6. Let g(c) = -c - 2. Let z(i) = -1. Let f(d) = 3*g(d) - 24*z(d). Let m be f(5). Let l be w(m). Solve -l = -q + 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36803 times -0.4\nAnswer: 14721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12324 - -1074?\nAnswer: -11230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 2*c**2 + 3*c + 1. Let w be q(-2). What is the common denominator of 0 - w\/((-60)\/38) and -34\/39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 18 = 0. Let f(u) = u**2 - 8*u - 11. Let v be f(o). Let d = -1.2 + 0.2. Which is the second biggest value? (a) v (b) -2\/15 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52 (b) 0 (c) 2709 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 855 by -6.\nAnswer: -285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13146136 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -536*i + 223*i + 301*i - 338 to v + t*i and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -20, -5\/2, 1\/3, -1\/45?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1722*b*r**3*v**2 + b*v**2 + 8*b*v - 3866*b - 3*r**3*v**2 + 3*r**3 wrt v?\nAnswer: -3444*b*r**3 + 2*b - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/21)\/((-44)\/(-154)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 9:33 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4046 + -1892. What are the prime factors of g?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3698, 7635, 11762, 16079, 20586, 25283, 30170?\n\"Answer: 95*p**2 + 3652*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -331 + 1286. Let r = j - 954.99999367. Round r to seven dps.\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-22)*860\/(-14190)?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*c - 164*c = 4*m - 17, 0 = -m - 2*c + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47243\/156 - -3605\/12. Let c(i) = -i - 3. Let d be c(-1). What is the common denominator of k and -137*1\/24*d?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssbz when four letters picked without replacement from {z: 2, s: 4, b: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + -2 + 1 + 4 is divided by (8 - 6)*(-1 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2 - 6*b**5 - 579*b**6 - 1101*b + 4*b**5 + 995*b wrt b?\nAnswer: -69480*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3\/6*-22. Let r(i) = 4*i**2 - i**3 + 8*i**2 + 10 - 2 - 7*i. List the prime factors of r(n).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5 + 76*k**4 - 398*k**3 + 436*k**2 + 400*k - 512 = 0.\nAnswer: -1, 1, 2, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c**(-15\/7))*c*c\/(c\/c**(24\/7)*c)*((c**(2\/45)*c)\/c)**34 assuming c is positive.\nAnswer: c**(2546\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 792082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/15 + 2\/5. Let g = 68 - 275\/4. Let t be 6*40\/384 + -1. Which is the nearest to -2? (a) g (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 11}. What is prob of picking 2 c and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -5772.\nAnswer: -1731.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 51466296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*l + 306 - 950 - 461 = 701 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/30*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -280e (base 15) to base 7\nAnswer: -33653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*1038\/8477*-7*(-1)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*a - 82, 4*s + 38*a = 43*a + 117. Calculate the highest common factor of 621 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let h(o) = -12 - 2*o + 12. Determine b(h(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/5 + 42356*r\/5 + 381366\/5 = 0?\nAnswer: -9, 21187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 4. Do t and -4\/67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 2, t: 5, y: 3}. What is prob of sequence yjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-2 - 5)) + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*i - 0*i. Suppose 0 = -y + i. Is y*(-3 - (-11 + 3)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.8636903 rounded to 1 decimal place?\nAnswer: -217.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:56 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 6*o + 9. Let m be b(-6). Suppose -m*t + 85 = -41. What is the least common multiple of 28\/6*(-1 + 4) and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -f - 5*l, 2*f + 3*l = -2*l - 7. Let g = -1 + 0. Let q be (-2)\/g - (0 - 0). Which is bigger: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/2 + 17*p**3\/6 - 15*p. Find the second derivative of k(m) wrt m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106245424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -920800505422+0.4\nAnswer: -920800505421.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8877 - 0.5.\nAnswer: 4.3877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, p: 6}. What is prob of sequence pppp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:14 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*o - 42 = -166*o. What is the greatest common divisor of o and 560?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*d, 4*j - 3*d = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111558609 rounded to 5 dps?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 133 = 41*f. Let y = 54 + f. Calculate the remainder when 67 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*z**2 - 53*z**2 + 108*z**2 + (4 - 2 - 4)*(0 + 0 - 2*z**2) + 2*z**2 - 2*z + 2*z - 2*z**2 + 4*z - 4*z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6511 + 10383. Is 121 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -231?\nAnswer: -1\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*n - 27, c - 23 = -n + 5*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**6\/90 + f**4\/4 + 2*f**3\/3 + 4*f. Let b(g) be the second derivative of k(g). Let w(h) = h**2 + 1. Calculate b(r) - 6*w(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 6 = 69*i, 0 = -5*w + 3*i + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 808, 13, -1304, -3137, -5480, -8327?\n\"Answer: o**3 - 267*o**2 - o + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)*x)**(1\/2)\/(x\/(x*x**(-7\/6)*x*x)*x**(-1\/25)) assuming x is positive.\nAnswer: x**(1723\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 49.7909. What is y rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 7, -7, -4 in descending order.\nAnswer: 37, 7, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10882.02 months in years?\nAnswer: 906.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36042\/48504 + 65\/20 + 4*-1. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343734 smaller than 343733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 350*d + 77621. Calculate l(-504).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - 7)\/(-45))\/((-28)\/35). Let r = 0 + 1. Which is the third biggest value? (a) 16 (b) r (c) 3\/5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -724.680130919 minus -1?\nAnswer: -723.680130919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3071\/5 + -322453\/525. Let l be (-578)\/(-1400) - (-2)\/6. Let j = p + l. What is the biggest value in j, -3\/5, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 216 = 6*a. Suppose a = 5*s + 4*s. Suppose -5*u = s*u - 957. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*a**4 - 95*a**3 + 45*a**2 + 95*a - 20 = 0. Calculate a.\nAnswer: -4, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*y + 3*h + 9, -3 = 3*h. Let i be 0 - 8\/(-180)*y. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let k = 5 - 1. Let b(a) = a + a - a - k*a. Determine r(b(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-37))\/(o*o**(-32\/7)) assuming o is positive.\nAnswer: o**(291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-7)*5\/((-20)\/14). Suppose -i + 4*q = -16, -o*i - 5*q = 1 + 6. What is y in -15*y**3 - 8*y**2 + 8*y - 8*y**2 + i*y**4 + 7*y**3 + 12 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z + 4. Calculate n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 47. Does 13 divide (-1432)\/c + 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45557\/5 - 323909\/35. Let i = -3307\/21 - n. Calculate the common denominator of i and -47\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/24 and -65\/57103392.\nAnswer: 57103392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 2. Suppose -2*a = y + 10, 0*y - a - 5 = 5*y. Suppose -3*t - 1 + 37 = y. Calculate the least common multiple of t and n(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 55 + z**2 + 49)*(-62*z + 45*z - 28*z).\nAnswer: -90*z**3 + 270*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 21. Let b = 4174.9 + -4175. Let k = 0.9 + -1.2. What is the closest to -1 in n, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqamv. Give prob of picking 1 m, 1 v, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 7*k**2 + 16*k**2 - 36*k - 87*k.\nAnswer: 14*k**2 - 123*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1606 + 158 = 28*m. What is the highest common divisor of 28 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00563 + 0.00563. Sort 1345, -0.2, p, 2\/11.\nAnswer: -0.2, p, 2\/11, 1345","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 - 4*j + 8. Let b be c(5). Suppose -b - 87 = -5*w. Suppose -5*y + 9*y = w. Solve -y + 2 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/w**(-2)))\/w)\/w)**(-2\/19)*(w\/(w\/(w**2*w)))**(1\/58))\/((w*w**3*w)\/(w*w**(8\/7)\/w))**(-7\/9) assuming w is positive.\nAnswer: w**(3827\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107904, -97126, -79170, -54042, -21748, 17706?\nAnswer: 64314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263*s + 120*s**3 - 5 + s**4 - 196*s - 3*s**2 - 70*s to the form g*s + y*s**4 + r*s**2 + b*s**3 + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let r(z) = -3*z. Let g(p) = 2*r(p) - 9*t(p). Let c(k) be the second derivative of -3*k - 1\/6*k**3 + 0 + 0*k**2. Give g(c(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 116 = -36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdtkkdtkttt. Give prob of picking 2 t and 1 d.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34091 - 34076. Calculate the greatest common divisor of 2345 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-1 - (-26 + 13))) + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 7:56 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61663 and 18193.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - -179. Suppose c = 9*h + 2*h. What is the highest common factor of h and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*l + 1 = 41, 5*l = -2*w + 10. Let d(g) = 2*g**2 + w*g - g**2 + 0*g**2 - 6*g - 1. Let m be 0\/(-3) - (3 + 0). Calculate d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(126)\/(sqrt(7)*1) - ((-5*(sqrt(162) - (sqrt(162)*1 - sqrt(162) - sqrt(162))) - sqrt(162)) + sqrt(162))\/sqrt(9)) + 0)*-1)**2.\nAnswer: 66*sqrt(2) + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -401 + 5*f + 401 - 35*f + 4*f + 1 - 1 + (-1 + 5 - 1)*(0*f - 2*f + 4*f).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 + 2*c**2 - c. Let v be p(1). Suppose -4*x = -2*w - 50, 2*x + v*w - 43 = -2*x. Calculate the highest common factor of 60 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 72674579.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3 + 2903*q**2 - 2119855*q + 18844281 = 0.\nAnswer: 9, 1447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/21 and -22\/201015.\nAnswer: 1407105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 10*t**5 - 3*t**5 + (3 - 3 - 2*t)*(t**2 - 2*t**4 - t**2) + 83*t**5 + 170*t**3 - 170*t**3.\nAnswer: 94*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (74427\/(-3))\/(-6 - (-3 + -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(162)*2*-1 - (sqrt(14)*1*-4)\/(2*sqrt(567) - sqrt(567)).\nAnswer: -320*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*a + 40*a - 3*a as b + r*a and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2168\/13 or -166?\nAnswer: -2168\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11011 and 2856854.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 14\/5 (c) -317 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 - 127.662. Let h = -19.962 - b. What is h rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-231)\/(-2))*(-2 + 5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((192\/13568)\/(9\/(-12))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12)*4)\/2*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 11*d**2 - 13*d + 12. Let m be n(12). Let u be (149*(2 - 1))\/1 + -4. Let x = u + -141. Put m, x, 1 in descending order.\nAnswer: x, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56264212 to the nearest integer?\nAnswer: 7501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 - 8*g**4 - g**4 + (5*g**2 + 6*g**2 - 6*g**2)*(-2*g**2 + g - g).\nAnswer: -19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3911725649.\nAnswer: 13, 191, 1021, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054284001 rounded to 3 decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -319925141\/3 and -106641713 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3696677522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387*240716.\nAnswer: -93157092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069400 greater than or equal to 1069400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33759, 33750, 33727, 33684, 33615, 33514?\nAnswer: 33375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/5)\/(g*(g\/(g*g**12*g))\/g*g) assuming g is positive.\nAnswer: g**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = -3*o. Let w = o + 8. Calculate the smallest common multiple of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(25)\/sqrt(5))**2 + (sqrt(5) + 1)**2 + -3 + sqrt(5).\nAnswer: 13*sqrt(5) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 17044082433909\nAnswer: 17044082433906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10444157833 + -10444256345.129981. Let r = o - -98512. Let f = -0.13 - r. Round f to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6 = 11*w. Find the common denominator of (28\/(-36))\/((-2)\/w) and -64\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2052 and 3420.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from {p: 3, q: 7, o: 2}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015 = -703*n + 668*n. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -19. Suppose g + z - b = 0, -5*z + 4 = 6*g - 4*g. List the prime factors of g\/(-4) + (-150)\/(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -36. Suppose -2076 = 116*h - 9384. Solve -d + h - 68 = w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/4 + f**3 + f**2 + 3*f - 1. Suppose 18 + 6 = 4*z. Let t be 4\/z*(-27)\/(-12)*-2. Calculate q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3491, -6921, -10351, -13781, -17211?\nAnswer: -20641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a733 (base 11) in base 6?\nAnswer: 2104223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253387 is divided by 2531?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddddt. What is prob of sequence dd?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20736 + 20843. Calculate the greatest common divisor of 10700 and i.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191130 = -132*b + 126*b. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) 2\/19 (c) 2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/120 - q**5\/30 - q**4\/12 - 2*q**3\/3 + 17*q**2. Let h be d(-2). Suppose h = 6*w + 20 - 188. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -235 - -249. Suppose 11*n = m*n - 3, -5*n = -3*w + 19. Which is the fourth smallest value? (a) w (b) -1\/4 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1)\/q)\/q)**(-17))**(-2) assuming q is positive.\nAnswer: q**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 290, 675, 1202, 1871?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2) + 3)*0. Let x(u) = -u**2 + 2*u + 3. Let b be x(g). Suppose -b*m - 2*p = -24, -4*m + m + 3 = -5*p. Solve -q + m*q = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 149608*t**2\/3 - 149605*t.\nAnswer: -t*(t + 3)*(t + 149605)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 525 - 523. Solve 0 = c*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4482*k = -4040*k + 442 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {b: 4, y: 4, s: 2, v: 1, w: 6, f: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(-2 + sqrt(1700))*-2.\nAnswer: -60*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12718 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -44, -59, -100, -179, -308?\n\"Answer: -2*a**3 + 5*a**2 - 2*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3255.1534.\nAnswer: 3247.1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 60 - 50 = 0. Suppose 2*d = d + 110. Suppose -5*f = a - d - 76, f + l*a - 39 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k + 1. Let o be d(1). Suppose -4*n = -0*n - o. Let a = -2 + 4. Solve -3 = 5*v + 4*h, -h = -a*h + n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2803 and -55601.\nAnswer: 155849603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - ((sqrt(140) + (sqrt(140) - -1*sqrt(140)))*-1 + sqrt(140)))\/(sqrt(56)\/sqrt(72)))\/((sqrt(28) + (1*sqrt(280))\/sqrt(10))\/sqrt(7)*3).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12764\/1435 + 3\/574. What is the common denominator of (158\/(-12))\/((2\/(-3))\/(-1)) and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45718 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 + 21*z**2 - 22*z + 255. Determine r(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 2*p + p)*(p + p + 0*p) + 14*p**2 + 3*p + 11*p**2 - 22*p**2 in the form i*p + f*p**2 + x and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -1 (b) -3 (c) 2\/5 (d) 3 (e) 0.0616\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3441479942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 68 = -h + 9, -2*k = -3*h + 175. Suppose -6 = h*p - 128. Find a such that 35\/4*a - 5\/4*a**p - 15 = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8310288 millennia to years.\nAnswer: 831.0288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u - 88. Let t be 2\/5 + u\/10. Sort t, 4, 2\/9.\nAnswer: t, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 9*m + 4. Let v(h) = -h - 3. Let s(p) = a(p) - 2*v(p). Factor s(r).\nAnswer: (r + 1)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 88 - 322*s**2 + 168*s**2 + 156*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100869, -100868, -100867, -100866?\nAnswer: -100865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 18 = -11*q + 14, -5*f - 46 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -752.5 to the nearest ten.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/7 - -6\/35. What is the closest to j in -4\/5, 1, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 3, n: 4, w: 2, r: 2, t: 3}. What is prob of sequence tn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2583)\/(-1722)*26\/12\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7862 + 7536. Which is bigger: t or -330?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 259 = 6*k + 59 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*a + 11*a. Suppose 8 = a*c + 2*c, -4*n = -2*c. Let s = n + 7. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.102? (a) -4 (b) -1 (c) 1\/192 (d) 28\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 17*m**2 - 17*m - 16. Let s be k(-16). Let d be s\/(2*(12\/(-3) + 3)). Is -0.052 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*5*2\/(-4). Let t(u) = 2*u**3 - 6*u**2 - 2. Let l(f) = 2*f**3 - 5*f**2 - 2. Suppose -7*p + 2*p = 20, 4*k - 44 = 5*p. Calculate k*l(q) + x*t(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 1023?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3925 - -3953. Let h = -5 - -26. Calculate the greatest common divisor of h and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 f, and 1 s when four letters picked without replacement from {d: 4, f: 7, s: 3}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4897508 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 5. Let g be f(4). Solve 13 = 4*d - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023171615 rounded to the nearest one million?\nAnswer: 3023000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*b + 120, -454*w = -450*w + 5*b - 129. Solve -2*z + w = -15*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549438551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1004a3 + 13?\nAnswer: -100490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6 take away 1441615.46?\nAnswer: -1441604.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Suppose 0 = 7*d + 9*d - 320. Suppose 2*m - d = -3*m. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/(-30)*105\/735 and 20\/49?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, -5, -69, -169, -311?\n\"Answer: -f**3 - 9*f**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:03 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.257, -0.3, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 597506 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -177016700.\nAnswer: 1\/44254175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5419988404 - -1.542. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -11. Suppose 0 = -v*j + 3*j + 30. Calculate the greatest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j + 3. Let r(f) = -5*f + 1. Let g(v) = 5*r(v) - 2*t(v). Let x be g(-4). What is the greatest common divisor of 99 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677323?\nAnswer: 7, 29, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 - 15*h**4 + 15*h**3 - 5*h**2 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 11:03 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449656*a**5 - 5*a**4 - 6*a**3 + 245022*a**2 + 57.\nAnswer: 26979360*a**2 - 120*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 281276 and 16.\nAnswer: 1125104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60683263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a = -38*a + 42. Solve 0 = 3*d - 4*t + a, -d - 3*d + 4*t = 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15657 is divided by 447.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 2754183?\nAnswer: 2754188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176 by -4231.\nAnswer: 176\/4231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 3, h: 7, u: 6}. What is prob of picking 2 u?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29.5, 0, -1\/2 in ascending order.\nAnswer: -29.5, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120009881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = 20*w - 166 + 218 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 346\/3, -0.0055, -2\/465 in descending order.\nAnswer: 346\/3, -2\/465, -0.0055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2906 greater than -2830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i + 27*i = -51*i - 9*i + 9288 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 15*a + 7*a = -84 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -375 - -574. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-12 + 11 - -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*6\/(-4)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-10)*345\/(-276) - (-15)\/12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 85?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5))\/((5\/1)\/100). Let i be (-1)\/(-2)*0\/w. Suppose -2*l - 10 = -r, i = 2*l + 4 + 4. What is the lowest common multiple of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12007.11ms?\nAnswer: 12.00711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53253.\nAnswer: 3, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*d**3 - 208*d**3 - 213*d**3 - 252*d**3.\nAnswer: -42*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -140, -485, -1144, -2219?\n\"Answer: -17*s**3 - 4*s**2 - 2*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3013167 divided by -571.\nAnswer: 5277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14214.5 + 72326.\nAnswer: 58111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 67, 57, 45, 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(0 - 2*k + 0) - 3*k + 3*k + 2*k - 1 + 2*k + 1)*(-1495 + 1495 - 147*k)*(-k**2 + k**2 - k**2)*(4 - 4*k - 4).\nAnswer: -4704*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. What is the second derivative of -527*a**3 + 527*a**3 + 18*a**i + 24*a wrt a?\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*m + 2*r, 0 = -5*m - 4*r + 14 + 47. Let k = m + -10. Let t(i) = -2*i - 3*i + k*i + 4*i. Let n(b) = 5*b. Determine n(t(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 6*v + 22. Suppose -24*n + 7 = -23*n. Let g be w(n). Suppose 26 = x - g. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0 - 2\/3*a**3 - 13*a - 1\/12*a**4 - 5\/2*a**2. Calculate r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35477 is divided by 11785.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56181 and 3.\nAnswer: 168543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1433, 4, -0.025 in descending order.\nAnswer: 4, -0.025, -13, -1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170 - -172) + 1 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y + 19. What is the tens digit of m(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/7 (b) 8 (c) -5524 (d) 3\/7 (e) 12 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.1. Let o = 3.9 + i. Which is the second smallest value? (a) -4 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 963.\nAnswer: 2\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2786 and -113\/45551100?\nAnswer: 45551100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -1460078\nAnswer: -1460077.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 47 = 3*k, -4*k - 24 + 70 = 3*c. What is the lowest common multiple of 88 and k?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3350184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*v**2 + 12*v + 9*v**2 + 0*v wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 12 (c) 3 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 10 = 5*a - 19, -2 = 2*n - 2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -51, -9.\nAnswer: -51, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 277836 and 2638.\nAnswer: 366465684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 169216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 8.865?\nAnswer: -97.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 15. Let s(o) = -3*o**2. Let b(k) = -2*h(k) - 6*s(k). Let m(l) = l. Give b(m(a)).\nAnswer: 16*a**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 3*u - 103 + 77, 3*k + 28 = 2*u for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14*y*y*y**(1\/2)*y**(14\/5)\/(y**(-1\/11)\/y) assuming y is positive.\nAnswer: y**(2243\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1590443 - -655236. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4790 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a - a = 0. Let w(p) = p**2 - 2*p + 41. Let q be w(a). Let u = q + 96. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 132458*r**2 - 264919*r - 132460.\nAnswer: (r - 132460)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*v - 3*k + 2*k, -4*k = -2*v - 12. Solve v = -d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:14 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12248993 minus 6?\nAnswer: -12248999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33042 - -2010?\nAnswer: -31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:06 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*(-138)\/4554*86*((-6)\/4)\/(-3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let m(l) = 194698*l. Give m(p(z)).\nAnswer: 194698*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 908, 2658, 6086, 12032, 21336, 34838?\n\"Answer: 140*g**3 - g**2 + 773*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 + 4*b - 3. Let m be j(-5). Suppose x + 2 = 3*x. Suppose 4*o - 49 = 5*f, 0 = -4*o + 5*o - 5*f - x. Solve -2*i - o = m*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -15\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 87. Suppose 24*l - x*l = 24. Find the second derivative of l*d - 8*d + 11*d**5 + 10*d**5 wrt d.\nAnswer: 420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/7 - (-792)\/(-84). Let w = 20 + r. Let i = 33 + 45. What is the remainder when i is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 432936138*i**3 + 43533*i**2 - 25*i.\nAnswer: 2597616828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3 - 2286571*a**2 + 83310559*a wrt a?\nAnswer: -30*a - 4573142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*j - 4*v, 5*j - 3*v = 4*j - 1. Let w be (-2)\/j + 576\/1390. Are w and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50043 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*n**2 - 9*n**3 - 189*n**2.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10515312 - 5?\nAnswer: -10515317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4987, 4947, 4925, 4927, 4959, 5027, 5137?\nAnswer: 5295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189195048.\nAnswer: 2, 3, 7, 157, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*u + 51. Let r be u\/68 + (-661)\/36. Let b = r + 937\/90. What is the common denominator of 34\/9 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 377677 or 377679?\nAnswer: 377679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117))**2 + 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.4791 nanograms to tonnes.\nAnswer: 0.0000000000007514791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 834.4, 3, 1.\nAnswer: 1, 3, 834.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 38 - 51 = -5*s, 20 = 5*s - 5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2911 or 2913?\nAnswer: 2911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/25 - 1\/5. Suppose 2*o = -v*o - r + 13, 12 = 4*r. Suppose -o*g - 9 = -34. Calculate the remainder when 8 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(1 + 3 - 1)*(-2969 + 2969 + 53*x) + (1 - 4 + 4)*(4 + 0 - 2)*(-1 + 1 - x) as b*x + k and give b.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/6 - (-942)\/(-42)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 2*f**2 + 7*f - 5. Let n be c(4). Let j(o) = -o**3 - 10*o**2 - 11*o - 13. Let d be j(n). Solve -8*w + 4*w + d*a - 40 = 0, 4 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*k + 18, k = -2*j + j - 2. Let p(b) = -7*b**3 + b + 4*b**2 + 16*b**3 - 8*b**j. Give p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 1 - 1)*(3*l + 2*l - 6*l) + l**2 + 1 - 1 + (l - 5*l + 2*l)*(133*l + 105*l - 196*l) in the form z*l + t*l**2 + b and give t.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2486 is divided by 2426?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 65.0399791\nAnswer: -64.4399791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -184\/3. Suppose -3*p = -5*q + 27, -5*q + 0*p = 2*p - 7. Suppose 0 = -q*x - 4 - 8. What is the biggest value in x, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2273\/16334?\nAnswer: -2273\/16334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h - 19*h - 2 + 7 - 5.\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 34. Let r be 2 + a + -4*(-5)\/5. Sort 1, r, 2 in descending order.\nAnswer: r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.26, 0.11, 2, -4, 0.056?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(70) + sqrt(70)*4))\/((3*4*sqrt(1210) - sqrt(1210)) + sqrt(1210) + sqrt(1210)).\nAnswer: 30*sqrt(7)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-26)\/v*v*v**(-21)*v*v)\/(v**(14\/5)*(v\/(v\/(v\/v**(-3\/5))))\/v) assuming v is positive.\nAnswer: v**(-242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 14, h: 5}. Give prob of sequence heh.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7005*h**2 + 6997*h**2 + 6999*h**2 - 28022*h**2 + 7022*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r. Let z be h(1). Let y = z + 26. Suppose 0 = 4*l - 3*u + 20, -y = -l - 4*u - u. Which is greater: -3\/4 or l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 31 = x, -2*x = -0*p + 4*p - 148. Suppose 29 = -4*q - p. Let l be (q\/36*-12)\/2. Sort l, 4, 3 in increasing order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16000 - 7057?\nAnswer: -25057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from ellebeeblbbee.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 17. Let q(g) = g**3 + 7*g**2 + 5*g - 6. Let l be q(-6). Suppose 2*a = -2*k + f, l = k + 2*a - 4 - 4. Solve 0 = -k*v + 6 + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -27 - 47*a + 79 + 96 - 15. Let y be x(3). Suppose -5*o - 6*q = -2*q - 7, 2*o - 4*q = 14. What is the nearest to o in -0.2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63608854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 8. Let z be h(5). Suppose -2*o = -7*o - 2*x - 21, 2*o + 2*x + 6 = 0. Let d = z - o. Solve 3*i + 2*a = 11, -d*a = -3*i - 6*a + 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 5*j**3 + 2*j**3 - j**2 - 2*j**3 - 2 to the form w*j + x*j**3 + z*j**2 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13915\/6 (b) 6 (c) 126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -139 (c) -11.9 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2177993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4932056057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + p)*(-85 - 67 + 47) + 4*p - 2*p + p to the form f*p + k and give f.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1202 - -1201.9. What is the nearest to d in -1, 1\/4, 0.5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.9 - 33. Let q = 0.1 + w. Let t be 0 + -1 + 15\/13. Which is the biggest value? (a) q (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*q + 5*q. Let v(h) = 2*h - 5. Let x be v(q). Let c(y) = y - x - 2*y + 0*y. What is c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 15*n + 261 = 737. What is the smallest common multiple of n and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**5\/20 + s**4\/4 + 3*s**2\/2 - 3*s. Let d be x(3). List the prime factors of d\/(((-21)\/18)\/(-7)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -72. Suppose 4*c - 138 = m. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 165 = -7*f. Suppose 3*u + f = 4*p - 2*u, 0 = -p - 5*u - 23. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 545.7 and 0.01.\nAnswer: 5.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*m + 7*m - 5*m + 479 - 409, 0 = 3*o + 2*m + 2 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.15945*7662\nAnswer: 1221.7059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 10178019.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4, 0 = 3*k - k - 4*l - 5472. Find the second derivative of 2756*i + 145*i**2 - 5446*i + k*i wrt i.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -26 in descending order.\nAnswer: -5, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z. Let y(i) = -i**2 + 3*i. Let f(t) = 2*t. Suppose -3*j + 8 = -4*x, x + 3 = 3*j + 1. Let m(h) = x*y(h) + 3*f(h). Calculate s(m(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-150)*(-285)\/684.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256920 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 10 + 6 - 17*x**2 + 4.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (20 - -1) - -7 - -19.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 1, t: 4, i: 4}. What is prob of picking 1 i and 2 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 394 = -2*k - 367, -46 = 14*c - 4*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkukkkkkukukkkk. What is prob of sequence uukk?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2097*b - 100*b = 645*b - 1834*b - 9558 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4837555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 595*f**2 - 16*f - 8. Let u be d(2). What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 + 4*g - 1. Suppose t + 0 + 9 = 3*b, -3*t + 4*b = 2. Calculate the remainder when f(t) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16965636?\nAnswer: 2, 3, 41, 34483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 6*g + 90 = -17*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-15))\/(1\/(-3)). Factor -2*r + 1 + r**2 - t*r + r + r.\nAnswer: (r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -2, 9 in increasing order.\nAnswer: -44, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74463?\nAnswer: 3, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1))*r)**(-1\/10))**(-1\/52)*(r**(-4)\/(r*((r*(r\/(r*(r\/r**(-6))\/r))\/r)\/r)\/r*r))**39 assuming r is positive.\nAnswer: r**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -166, -168?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (122*f + 114429 - 23*f - 114433)*(4*f - 2*f - f) in the form r + b*f**2 + n*f and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3388)\/(-242)*(171\/6741)\/19.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 56 = -c, 3*c - 2*c - 2*x = 62. Let g = c + -42. Find the third derivative of 8*w**2 + 10*w**5 - g*w**5 + 10*w**5 wrt w.\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 3 + 4)*(c - c**2 - 2*c - c) + c**2 - 4*c**2 + 7*c**2 - 3*c**2 - 4*c**2 + 6*c**2.\nAnswer: 17*c**2 + 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9. Let s = 11.03 - 0.03. Let f = s + -10.5. Which is the second smallest value? (a) f (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.96 times 38?\nAnswer: -264.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1158\/(-18) - -23) + (440\/30)\/(-11)*-12.\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 62*b. Let v(g) = 2*g + 1. Give m(y) + 4*v(y).\nAnswer: y**2 - 54*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 81544*v**2\/7 - 489210*v\/7 + 733788\/7.\nAnswer: -2*(v - 40766)*(v - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -598, -25, 2\/7.\nAnswer: -598, -25, -3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-85))\/((207\/(-360))\/(-23))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(27\/216)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrr when three letters picked without replacement from lrrl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 8*l + 16. Let o be c(-13). Let x = o + 53. Solve -4*y + 11 = -n, x*n + y = 3*n + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*k**3 + 1064*k**3 - 532*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031161 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1089388, 2178782, 3268176, 4357570, 5446964?\nAnswer: 6536358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 18, 45, 84?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 44*d + 341. Let v be u(10). Which is greater: -0.82 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -24*s - 43. Let x(z) = z**3 + 10*z**2 - 11*z + 10. Let l be x(-11). Suppose -132 = 2*o + l*o. What is the tens digit of v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -28, -5.\nAnswer: -28, -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5311 + 12072. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b - 20 = 0. Let o(x) = -x + 13. List the prime factors of o(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 5.4.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22 + 6 - c**2 + c**2 + 11*c + 7*c**2 - c**3. Calculate the remainder when 11 is divided by x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*-4*((3 + sqrt(2299) + -4*sqrt(2299) + sqrt(2299))*-5 + -3))**2*-4.\nAnswer: -14733200 + 246400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11487061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202 and 909?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/3, -318, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -855905802 + -131271?\nAnswer: -856037073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 598303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, i: 3, y: 1}. What is prob of picking 1 m and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 + 10*q**2 + 15*q - 3. Let h(r) = -4*r**3 + 9*r**2 + 15*r - 2. Determine -6*f(b) + 7*h(b).\nAnswer: 2*b**3 + 3*b**2 + 15*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**3*i**2*p**3 - 313176*c**3*i*p**3 + 5*c**2*i**2*p**3 - c**2*i**2*p**2 + c**2*i*p - 16*c*i**2*p**2 - 281*c*p**3 + 2*c*p wrt c.\nAnswer: -30*i**2*p**3 - 1879056*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Let z = -0.02 - -0.22. What is the nearest to -0.1 in m, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 - 12*a**3 + 18*a**2 + 8*a - 24 = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 20637.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 2*h**3 + 0*h**4 - 4*h**3 + 28*h - 3*h**4 to the form v*h**3 + m*h**2 + n*h + a*h**4 + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9094.25nm in micrometers?\nAnswer: 9.09425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-75))\/((2\/4)\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11*k + 0*k - 3.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000033996006 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.1 - 0.9. Suppose -2*s - 3*d = -48 - 22, 4*d = -2*s + 72. Let b = 30 - s. Sort b, 5, p in descending order.\nAnswer: 5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Solve t = 3*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f)*(3 + 3 - 4 + (-2 + 6 - 2)*(2 - 2 + 2) + 1 + 1 - 3 + 4 + 1 - 3 - 84 - 53 - 73)*(-f - 2*f + 4*f).\nAnswer: -406*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866 is divided by 194?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:49 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 440 = -0*z. Let m = 186 - 183. Suppose -m*y - 1 + 25 = 0. Calculate the highest common factor of z and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26626 or -26623?\nAnswer: -26623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h + 602 = -422 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -39, -4, -47, -3, 0.\nAnswer: -47, -39, -14, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 38 = -46. Calculate the lowest common multiple of m and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/2)*j**(5\/4)*j*((j*j\/(j*(j**6\/j)\/j))\/j)\/j*j*j*j**1)\/(j**(-2)*j**1*(j*j**(2\/7))**(22\/7)) assuming j is positive.\nAnswer: j**(139\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h - 2. Let l(z) = 35*z - 112. Let d be l(3). Calculate i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3)*(3783 - 1908 - 1880 + 147*n**2) in the form m*n + j + u*n**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 26, 622, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*x = 31, -3*j + 3*x + 46 = -56. Calculate the remainder when ((-81)\/(-2))\/(j\/24 - 1) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-8)\/36*15. Which is greater: -8 or u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 2, -40, -118, -244, -430, -688?\n\"Answer: -2*d**3 - 4*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 7:13 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 12) in base 15?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 + -39466532.\nAnswer: -39466530.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -15*j - 2. Let o(z) = 5*z**2 + 239*z + 420. Let v be o(-46). Let x(k) = -11*k - 1 + 10*k - 6*k. Determine v*a(m) - 13*x(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 2, e: 10}. What is prob of sequence fe?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - u + 34, 0 = -2*k - u - 20 + 88. Let m = -28 + k. Find the second derivative of 16*o + 10*o**2 + 14*o**2 - 3*o**2 + m*o**2 wrt o.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -965498 (base 10) to base 15.\nAnswer: -141118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -151*w + 5549. Determine a(33).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6500 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 2 = 18*t. Is 7\/(35\/11775) + t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65\/3 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 2, c: 3, y: 3, v: 1}. Give prob of sequence iey.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26074 (base 9) in base 4?\nAnswer: -10102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -85*y + 928. Give c(-15).\nAnswer: 2203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*p = -109*p + 6748. Suppose -2072 - p = -7*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*w + w. Let s(y) = y**2 + 4*y + 3. Let k be s(-5). Let f = k - -47. Calculate the highest common divisor of f and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8844133.7523 + -8837436. Let k = -6160.74977 + i. Let d = -537 + k. Round d to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*i**3 - 131*c**3*i**2 - 7*c*i**3 wrt i?\nAnswer: -6*c**3 - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 15*k + 36 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 81 and 0.1?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56739507319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 5, w: 4, o: 7}. What is prob of sequence wzw?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63340, 125460, 187580, 249700?\nAnswer: 311820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 3517822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120*t + 1121*t = -5*a + 12, 5*a = 5*t + 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let j(s) = -4*s**2 + s - 1. Let v(a) = -a**2 - a + 1. Let y(p) = -j(p) - v(p). What is m(y(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 1390*f - 89967. Determine u(-68).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24054 - 14299. Is 3 a factor of 4\/32 + q\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 5:06 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -314*h + 84504. Calculate u(269).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/((-9)\/3) + -4. Solve h = 4*i - 6*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*v**3\/7 + 13764*v**2\/7 + 18304*v\/7 + 6096\/7.\nAnswer: 4*(v + 381)*(3*v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:18 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 950, 1425, 2350, 3875, 6150?\nAnswer: 9325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 10*t + 32. Let r be b(-11). Calculate the greatest common divisor of 246 and r.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 42780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.84 minus -3?\nAnswer: 14.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwq when three letters picked without replacement from pppxxexqxwwxpwpppqq?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/10 - 38*u**2\/5 - 3215*u\/2 + 1615 = 0?\nAnswer: -95, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 61 + 2043 = -12*s - 416 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2)**(5\/8)\/(x\/(x**1*x)*x\/(x*x\/(x*x**(-2)\/x*x))) assuming x is positive.\nAnswer: x**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -5. Let l = -15 + c. Calculate the smallest common multiple of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 525*w - 519*w + 1536. Let b = 256 + w. Solve b = 2*z + 2*u + 2, z - u = -4*z - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u - 3*p = -117*u + 12, -2*u = 2*p - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*r = -29, -62599*x + 62597*x + r = -5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5150 + 96860478?\nAnswer: 96855328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 17 = -125. Let t = 4835 + -19449\/4. Let l = q + t. Which is the nearest to 0.1? (a) -1 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 12, -0.3, -1\/15, -32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 149 = -2*n, 0 = 3*n - 8 + 2. Let s = q - 34. Put -4, -3, 2, s in ascending order.\nAnswer: s, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 - 16*w - 11. Let k(d) = -5*d**2 + 9*d + 6. Let i(j) = 5*k(j) + 3*p(j). Let a = -14 - -10. Give i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6.4. Which is the nearest to -1? (a) -0.2 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h)**29\/(h**(3\/11)*h*h**(-3\/7)) assuming h is positive.\nAnswer: h**(8867\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 7 - 2)*(-3*i + 4*i + 0*i) + 3*i - 5*i + 4*i + (-3*i + i + 0*i)*(2 - 6 + 2))*(3*i**2 + 82*i - 58*i - 4*i**2).\nAnswer: -8*i**3 + 192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345491\/286 <= 18692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144864808?\nAnswer: 2, 11, 41, 40151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2196 and 488.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1085478104*z**3 - 1346495269*z?\nAnswer: 6512868624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31783 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 0*r**2 - 5 - 2*r**2 - 6*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4352.\nAnswer: -1\/4352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1044900 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -e5c7 (base 15) in base 11?\nAnswer: -33538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*sqrt(1216) - sqrt(209)\/((sqrt(121) + sqrt(121)*-4)\/sqrt(11) - sqrt(11)).\nAnswer: 2 + 161*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*d + 42565, -4*d + 12832 = -2*a + 34104. Is 75 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58319, -4, 5 in ascending order.\nAnswer: -58319, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200 and 3720.\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -158, 0.3, -0.2, 6\/11 in ascending order.\nAnswer: -158, -0.2, 0.3, 6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(4\/11))\/f)**48\/(f**1)**(-21) assuming f is positive.\nAnswer: f**(423\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 3)\/((-3)\/(-2)). Let m = -1 - 0. Let g = k - m. Solve 0 = -g*y - 4*a + 11, a = -4*a - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -55 + 47 - 51\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/122234824 and -9\/5.\nAnswer: 611174120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2489063.\nAnswer: 89, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (sqrt(320) - -2*(sqrt(320) - 1*sqrt(320))) + (0 + sqrt(320))*-2 + sqrt(320))*1)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848792413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12835 + 13637*p**2 + 12835 - 14087*p**2.\nAnswer: -450*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.029 * 251.254.\nAnswer: -7.286366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*l + 21 = 2*z, -4*l - 18 = z. Let s(d) = 20*d**2 + 1656*d - 20. Let b be s(-83). What is the units digit of 3*z\/12*b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:08 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 747617?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1677416130 - 0.6\nAnswer: -1677416130.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130 in -1, -3, 84, -0.1, 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 251? (a) -16 (b) -2 (c) 4 (d) 5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 1 (c) 1\/20 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52874 and 168?\nAnswer: 4441416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 13) to base 4.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*n = 3*n + 52, -91 = -3*g + 2*n. Suppose 3 = -3*h, -3*r + 25 = 3*h + 133. Calculate the common denominator of 99\/10 and (-7)\/r*g\/(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9)\/f)\/f**10)**(-20) assuming f is positive.\nAnswer: f**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/14928 and 73\/3912?\nAnswer: 2433264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/((r*r\/(r\/r**3))\/r*r))))\/r**(-2\/17))\/(r\/(r\/(r\/(r*(r\/r**(-37)*r)\/r)))*r**(-2\/3)))**(-4\/17) assuming r is positive.\nAnswer: r**(-7300\/867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88)*2 - sqrt(88)))\/sqrt(8).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 156337 - 672849 = 4*q, -3*c - 309903 = q. Round c to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h - 1 + 1 + (1 + 3 - 3)*(31*h**2 - 11*h - 2*h**3 - 31*h**2).\nAnswer: -3*h**3 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**3 - 1430*w**2 - 710*w - 61602. What is i(-204)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67341.754 + 67160. Let w = -181.674 + -0.326. Let o = w - y. What is o rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67198449 is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 168 = -2*a - 5*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188.9 * 3166.\nAnswer: -598057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -5\/8, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.2. Let b be (-7)\/18 + (-6)\/(-27). What is the nearest to l in -0.4, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = -k, -3*k + x + 2*x = -9. Let c(a) be the first derivative of a**3 + 3\/4*a**4 + 1\/5*a**5 + 1\/2*a**2 + 2 + k*a. Let c(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27220347 is divided by 7534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36880\/922*(3\/6)\/((-10)\/(-24)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*11\/44*40\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (-8)\/2 + (246 - -8).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 29 + 1. Suppose 10 = 5*z - 20. What is the remainder when g is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245391185 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*b - 60, -3*q - 43 = 3*b + 2. Let z be ((-6)\/(-10))\/((-3)\/q). Suppose 0 = z*y - y - 8. Solve y*j + 2*t + 0*t + 2 = 0, 0 = 5*j + 3*t + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-8))\/(11\/572). Suppose -4*d = -51 - g. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1 - 2*a**2 - a + 2*a + 2*a - 4*a**3 + 3*a**3. Let v(p) = 5*p**3 + 9*p**2 - 13*p + 5. Calculate -2*v(z) - 9*x(z).\nAnswer: -z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + 4*s + 3. Suppose 5*u + 14 = -2*p, 3*p - 6 = 5*p + u. Let r be z(p). Suppose -2*k - 385 = -3*y, 0*y + 413 = r*y + 5*k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k - 7. Let g be o(0). What is the remainder when -9 - (g + (-158 - -7)) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 - 798890*w**3 + 1597774*w**2 - 798886*w = 0.\nAnswer: 0, 1, 399443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/4 or 8\/109?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4 - 1653*t**3 - 3219*t**2 + 41325*t + 82350 = 0.\nAnswer: -549, -5, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (2 - (-2 + 4)). Suppose -25 = -2*h + p + 7, -40 = -r*h - p. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 221 = -2*n. What is the remainder when n is divided by (26 + -3 + -1)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/9 + 11210*h**2\/9 + 641872*h\/3 + 9052064 = 0.\nAnswer: -84, 5773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 55509139597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271 + 9878 + 1347 = -474*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 6, j: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 5*p + 6 + 12*p - 5. What is j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -323 and -324 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14035204.9 to the nearest ten thousand.\nAnswer: -14040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*k - 1093 = 977 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + t + 1 - t**2 - 2. Let h = 12 - 8. Calculate j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 + 25542*u**2 - u + u - 25542*u**2.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242877440 by -34112.\nAnswer: 7120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/2 + 65*h**2 + 106*h. Let t be b(14). What is the greatest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 98*j - 372. Give q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5423 and 374?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 11*m - 1. Suppose u = -5*r + 32, -12*r + 8*r - 2*u = -28. Calculate h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**3 - 273*j**2 + 2184*j - 1332.\nAnswer: -3*(j - 6)*(j + 37)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from xxoxxxxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**2 + 9*b. Let r(q) = q**2 - 2*q + 1. Let g(l) = d(l) + 5*r(l). Determine g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-10)*(-17 + (1 - 4)). Solve -3*p = q - 53 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -421\/220 (b) -0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14034203 + 120?\nAnswer: -14034043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3082\nAnswer: 1\/1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 - -1567\/10. Let q = 19 - 60. Let w = -42 - q. Which is the second biggest value? (a) -5 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.3 - 4. Let y = l - 0.31. Let n = 0.21 + y. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 13*m**4\/24 - 23*m**3\/6 - 7*m**2. Let j be h(19). Let b = j - 124. 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: Simplify ((sqrt(121) + 5*(sqrt(121)*-1 - sqrt(121)) - (sqrt(121) + -2*sqrt(121) - sqrt(121))*-4)*-3)\/(4*(2*(sqrt(99) - (-2*sqrt(99) + sqrt(99))) - sqrt(99))).\nAnswer: 17*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:53 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 33 = 9. Is (-4)\/u + 71461\/91 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 3)*1\/((-1)\/6). Let j(k) = -k**2 - 11*k - 29. Let n be j(h). What is the tens digit of (13 + n)\/(11\/99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoqqqqoqqqoqqqqqqo. Give prob of picking 2 q.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 2*s**2 + s - 381 + s.\nAnswer: 2*s**2 + 2*s - 310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 5 - (0 - 4). Suppose 0 = 2*i - 0*i + 5*k - 2200015, -s*k - 1099985 = -i. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 - -332322?\nAnswer: 333130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbtbrbtrrrt. What is prob of picking 1 r and 1 t?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - 3.1. Let t be (-10)\/(-8) + 3\/(-12). Suppose -8 = 3*b - 3*f + 4, -b = f. What is the biggest value in a, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-7 + 5 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3269 at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 147*s**2 + 11*s - 609. What is a(-147)?\nAnswer: -2226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 7*n**2 + 8*n - 2. Give p(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1333 + -1330. Solve -y + 3 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 - (-3)\/9*-9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/720 - t**4\/12 + 3*t**2. Let d(s) be the second derivative of x(s). Let w(l) = -3*l. Determine w(d(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 8) to base 13\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77.01 + -404.6. Let y = 337 + k. Round y to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 10*g**2 + 24*g + 7. Let q be k(-12). Let t(v) = q - 49*v**2 + 15 - 19*v - 1 + 50*v**2. Does 7 divide t(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52908870.\nAnswer: 2, 3, 5, 7, 251947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**6*o**(-1\/4))**(-2\/29)\/(((o*(o**(-1\/3)*o*o)\/o)\/o**(-2\/3))\/((o*o**(-1\/2))\/o)**(1\/22)) assuming o is positive.\nAnswer: o**(-7633\/3828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110224 (base 5) to base 7.\nAnswer: -14056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 9*c**2 - 20*c - 4. Suppose 2*r - 6 = r. What is the least common multiple of r and m(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18374726.\nAnswer: 2, 373, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 11*h + 108 = 16*h, 3*h + 54 = 2*k. Let d be ((-1)\/(-2))\/((-1)\/(-94)). Let q = d - k. Calculate the lowest common multiple of 16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ca - 2?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 - 1. Let r be v(-1). Suppose 3*p = 2*k + r, 3*k + 5*p = p + 35. Suppose k*u - 28 - 15 = -2*n, u = 4*n + 13. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/147*-27 + -18?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a - 67. Let b be w(-8). Find the third derivative of 1414*r**5 - 150*r**2 + r**6 - 1414*r**b + 0*r**6 + 74*r**4 wrt r.\nAnswer: 120*r**3 + 1776*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-89 - (-13 + 19 - 11) - -17)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894755 is divided by 5699?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5469632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/71 in 3, 9.3, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 2 - 62\/(-14). Which is greater: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - 2*k. Let l be h(-2). Suppose l = 7*c - 6*c - 5. Let u = c + 13. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -130 or 150\/70231?\nAnswer: 150\/70231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from jdddddjdddjddddddd?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 666664949 divided by 35933\nAnswer: 18553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b6e + -4cb?\nAnswer: -a039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1444*f**2*k**2*p**2 - 2*f**2*p**2 - 2*f*p - 142*k**2*p**2 - 2*k*p**2 - 345*k*p - k - 26*p**2 wrt k?\nAnswer: 2888*f**2*p**2 - 284*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 155, 159, 163?\n\"Answer: 4*r + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1671, -3734, -6191, -9042, -12287?\nAnswer: -15926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 2, 5*g - 5*u = 70. Let a = g - -29. Calculate the greatest common factor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from aajlljsv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3300231 (base 4) to base 11\nAnswer: -10635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*5*(-3)\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 15*k**2 + 9990*k + 170366. Calculate m(-17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 20 = -140. Solve 31 = b*j + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5195.526cm to meters.\nAnswer: 51.95526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z**4 + 0*z**2 + 642*z - 3*z**3 - 640*z - 16*z**4 + 2*z**2 as y*z**4 + j*z**3 + l + p*z**2 + r*z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*2\/(-2)*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 204\/18*540\/(-1530)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**7\/3780 + x**6\/405 - x**5\/108 + x**4\/54 + x**3\/3 + 3. Let m(k) be the third derivative of b(k). Solve m(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1418)\/(-116))\/(6\/10). Let x = v + -122\/29. Calculate the common denominator of x and -59\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 408*t + 1250*t - 413*t - 427*t.\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z - z + 2*z**2 + 8*z)*(4*z**2 - 2*z**2 - 4*z**2).\nAnswer: -4*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*q - 375, 0*p - 2*q = -p + 125. Suppose -p = -2*l + 29. What is the remainder when l is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 121110?\nAnswer: -121103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let s(y) = -1232728*y. Determine s(x(h)).\nAnswer: -2465456*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -51, 6, 117, 300, 573?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2688.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f9d + -2?\nAnswer: 4f9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 2*o**4 + 2*o**4)*(-347*o - 224*o - 716*o).\nAnswer: 2574*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 184 + ab8?\nAnswer: c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 1 - 3. Suppose -2*q - w*i = -2, q + q - 12 = 3*i. Solve -1 = m + q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 18911\/1456?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.0028 + 0.0028. Let h = 83 - 37. Let g = h + u. Sort g, -0.5, -6, 2\/7 in descending order.\nAnswer: g, 2\/7, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 - 68*s + 66*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**3 + 12*l**2 + 12*l + 1. Suppose -97*f - 246*f = 343. What is j(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1875*f - 1. Let q(m) = -2*m - 2301. Give s(q(n)).\nAnswer: 3750*n + 4314374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*a**3 - 30 - 32 + 64.\nAnswer: -138*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:00 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhtttjjjttj. What is prob of sequence jhj?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(729)*2 + sqrt(729)) - (2 + (sqrt(13) - (sqrt(13) - (sqrt(13) + -1))**2) + (-1*sqrt(65))\/sqrt(5))) + 3.\nAnswer: sqrt(13)\/27 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 127 - 107. Let h(g) be the third derivative of 1\/240*g**5 - 4*g**2 + 0 - 1\/480*g**6 + 0*g**3 + 0*g + 0*g**k. Solve h(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 54 + 62 - 142 + 144*m + 72*m. Does 10 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + u = 8, 6*d - 90 = 2*d + 2*u + 126 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 12*p - 6*p + 16*p. Let m be c(2). Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26799 is divided by 153.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7280.8 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from qheqqgqqhqkhkghehq.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 489?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fccfb4 + 3?\nAnswer: 1fccfb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/(-27) - (-16)\/(-144). Put 1, w, -1 in descending order.\nAnswer: 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.09 + 0.09. Sort -5, c, 1\/2 in decreasing order.\nAnswer: 1\/2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 10, 1449 in increasing order.\nAnswer: -8, 4, 10, 1449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61714 - -123329. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1074 (base 9) to base 6\nAnswer: -3404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/5 + 17*f**4\/5 + 869*f**3\/5 - 1997*f**2 - 30680*f - 84500 = 0.\nAnswer: -25, -5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwgc. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 3*v. Let m be 22\/14 + 36\/(-63). Sort v, 5, m in descending order.\nAnswer: 5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (1 - (-6)\/(-3)). Let m = x + 0. Let z(j) = j**2 - j. Let a be z(m). Put 5, a, -1 in decreasing order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 - 468*q + 782 - 263 - 257.\nAnswer: -468*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 6*v + 9. Let h(q) be the first derivative of -q**2\/2 + q + 3076. Let x(i) = -3*i**2 - 8*i - 3. Let g be x(-3). Determine g*h(s) + z(s).\nAnswer: 2*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 610171*a**3*z**3 - 4*a**3*z**2 - 2*a**3 - a**2 - 384500*z**2 wrt z.\nAnswer: 3661026*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 34. Let t = 41 + w. Suppose -136 = -5*l + 4*v, -747*v = -744*v - 18. Calculate the highest common divisor of t and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27897, 27768, 27561, 27282, 26937, 26532, 26073?\nAnswer: 25566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2776, -6819, -10860, -14899, -18936?\n\"Answer: v**2 - 4046*v + 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/39565908 and -11\/360.\nAnswer: 395659080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from tttmtttttmt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 288 = 240. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 + 5*o + 5. Let z be g(6). Suppose -4*w + 5*y = -382, -3*w + 0*y = -5*y - 289. Let c = w + -108. Are c and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1417 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.8885042 and 0.3.\nAnswer: -7.16655126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/24 - 2*j**2 + 165. Let q = -2 - -3. Let a(x) = 1 - q + 6*x. Determine p(a(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -931 + 2795. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Let k be -1*n + -4 + 45. Suppose -2*m + j - 61 = -5*m, k = 2*m + j. Calculate the smallest common multiple of m and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051 times 3?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 2. What is the units digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 33 = -5*p, 2*t + p - 34 = -25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -1\/12, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1664*m - 1665*m + 6469 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -45 - -47 - 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b**2 + 13*b - 5. Let n(t) = -11*t**2 - 6*t + 2. Determine -13*n(z) - 6*x(z).\nAnswer: 5*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 2*b. Let g = -31 - -31. Suppose g = -17*v + 12*v - 15. Calculate y(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -286.749 + 287. Let d = -3 + 2.75. Let x = c + d. What is x rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*j = j - 42, -4*u + 56 = -3*j. Calculate the highest common divisor of u and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35721\/42*(-28)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17656500 is divided by 1358192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00144412 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/77 and (-3 + 1)*42\/22.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 20 + 37 - 17.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -17. Let c be ((-6)\/(-4))\/(k*-1). Is c equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdirbmmrrrimirdmrd. Give prob of picking 2 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -60137880 divided by -17281?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -27360634\/23 and -1189592 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 44*l**2 - 264*l + 225. Calculate d(36).\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -579\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -2\/11, 1\/2, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 8*u - 2. Let i(j) = j**2 - j. Let n(p) = 6*i(p) - s(p). What is the remainder when n(4) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.005 (b) -33 (c) -12 (d) 0 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*d + 38, 4*d + 2 - 1 = -p. Suppose n = 5 - p. Let h be (-1)\/12 + (-1)\/4. Which is the smallest value? (a) 2\/7 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001167 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*f - 235*f + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 + 2*a**2 + 3*a - 2. Let u(m) = -182 - 5*m + 354 + m - 3*m**2 - 6*m**3 - 169. What is 4*i(v) + 3*u(v)?\nAnswer: 2*v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3022 - 3022.00055204. Round r to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01329 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-222)\/(-42) - (-4)\/(-14). Suppose -16 = -6*g + d*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*y - 24, 0*d + 3*y = -2*d - 7. Let c(i) = 2*i + 3. Determine c(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 - d. Let l be u(-3). Let t(y) = y**2 + 14*y + 2. Let n be t(-14). Suppose -n*w = -5*w + 57. Solve -l*k + 4 = w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 733 + -5133\/7. Put n, -1\/12, 3\/22 in decreasing order.\nAnswer: 3\/22, -1\/12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 - v**4\/24 - v**3\/6 + v**2. Let d be (-3)\/((6\/(-18))\/((-2)\/18)). Let x be y(d). Is -2\/37 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -0.4 (c) 10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4111742 rounded to three decimal places?\nAnswer: -11.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.5 - 89. Let o = h + 18. Is -1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44192996 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -68 + 135 + 14*h - 71. Let c(z) = -15*z + 5. Let l(m) = -4*c(m) - 5*i(m). Let v(p) = -11*p. Calculate -6*l(n) + 5*v(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -4\/7*t**2 + 2\/7*t**3 - 8\/7*t - 3. Factor w(p).\nAnswer: 2*(p - 2)*(3*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 - 2)*(2*p**2 - p**2 + 3*p**2) - p**2 - 2*p**2 + 2*p**2 + (-3*p - p + 2*p)*(0*p + 0*p - p).\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 12*k + 26. Let o(r) = -3*r**2 + 19*r + 54. Give -3*o(f) + 5*p(f).\nAnswer: -f**2 + 3*f - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(sqrt(500) + 3)*3)**2.\nAnswer: 699840*sqrt(5) + 5936976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 0. Suppose l*j + 6 = 3*j. Suppose -j*k + 308 = 2*k. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*6*(-2)\/3. What is the units digit of 1 + 6 + (q - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4391022 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(35\/6)*w**(-34)*(w*w**26\/w)**37 assuming w is positive.\nAnswer: w**(5539\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1\/6*-1). Let o(h) = 1 + 3 - 4*h + 5*h. Calculate the remainder when 27 is divided by o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1247 + 460 = -5*r, 5*r - 791 = -g. Let d = 253 - r. Let b = -68 + d. Which is smaller: 25 or b?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (56\/(-35))\/(3\/(-15)) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1250) + 1)**2 + -5 - sqrt(1250)).\nAnswer: 25*sqrt(2) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 386*d - 774*d + 381*d. Let y(m) = 190*m. Calculate -80*j(p) - 3*y(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46858150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-336)\/5 - (-7)\/35. Which is bigger: d or -329\/5?\nAnswer: -329\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-696487)\/(-99) + (-5)\/((-45)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19539332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*w - 726 - 969, 0 = -5*t + 2*w + 1667. Suppose -q - t = -4*i + 196, 4*i = 5*q + 527. Let x = 929\/7 - i. Which is smaller: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 20 + 572 = 0. Let l = 77 + s. Solve -3*z = -5*j - 30, -l - 14 = -j - 5*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -41955.\nAnswer: -11\/41955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7060 = t, -1765 = r - 2*r + t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)*l**(3\/16)*l**(2\/19)\/(l**(-2\/9)*l) assuming l is positive.\nAnswer: l**(-14761\/19152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*k**3 + 921*k**3 - 431*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 4*v + 3. Let t be l(-4). Suppose -2 = t*d - 4*d. Suppose -y + 4*w + 7 = 0, 1 = d*y - w - 6. Put -5, y, 2 in ascending order.\nAnswer: -5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 5 - 9 - 199556*i.\nAnswer: -199556*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -281, -276, -259, -224, -165, -76?\n\"Answer: y**3 - 2*y - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 5446?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -700583361\/2893 - -242165. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**13*y**(1\/2)*y)\/(y*y*y**15*y*y*y*y*y**(2\/3)))**(6\/17) assuming y is positive.\nAnswer: y**(-43\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.092 from 1011.\nAnswer: 1011.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1497 - -74.1403. Let x = 75 - u. Round x to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129.91 + 202.5. Let u = 74 - m. Let t = 81.59 + u. Is -1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.29 + 7.89. Let d be (1 - 1) + 6\/33. What is the fourth smallest value in 0.2, c, d, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(200) + 4 + -2*sqrt(200) + sqrt(200) - sqrt(200))**2.\nAnswer: -240*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4153 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830554428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945 divided by -27.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*h + 20, -p + 2*h = -3*h + 25. Suppose p = -w - 13 - 27. Let s be w\/(-50) - 2\/(-10). Which is the nearest to 2\/3? (a) s (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 15*g - 16. Let z(y) = -y**2 - 9*y + 22. Let k be z(3). Give j(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -24, -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 113*q**2. Let y(g) be the first derivative of -2*g**3\/3 + 29. Give v(y(x)).\nAnswer: 452*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from golkglglkiil.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 3*t - 4. Let q(y) = y. Let s(i) = i**2 + 2*i + 3. Let g(x) = -6*q(x) - s(x). Let p be g(-7). Suppose 0 = j + p - 1. Give w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/47, 1, -0.07 in descending order.\nAnswer: 1, 2\/47, -0.07, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4289361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g**3 - 254*g**2 - 1251*g - 49. Calculate s(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 118 = -260 + 121 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 305063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = 2*k, -9*x - 3*k = -4*x + 7. Let f(y) = 255*y - 3. What are the prime factors of f(x)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + i + 19 = -2*i, -20 = 4*i. Suppose 0 = 3*j - 3*r - 18, 2*j + g*r = 5*r + 14. Let l = -8 + 13. What is the remainder when j is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3635, -3\/2, 1?\nAnswer: -2\/3635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5458.81 millilitres in litres?\nAnswer: 5.45881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Suppose 308*u - 211 = 9*u + 3975. Calculate the lowest common multiple of 6\/(y*2\/4) and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33781261.3 to the nearest 100000.\nAnswer: -33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/(-4250)*5\/2)\/((-96)\/(-80)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**3 - 29373*v**2 + 280424 wrt v.\nAnswer: 3*v**2 - 58746*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 6. Let s(x) = 3*x**n + x**2 - 2*x**2. Let m(k) = 9*k. Give m(s(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 - 222. Let l(n) = 22*n - 146. Is 13 a factor of l(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11544984 rounded to three decimal places?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (68989*l + 8*l**2 - 137726*l + 68911*l)*(4 + 0 - 3) in the form y*l + j + n*l**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -219. Let w = 95.2 - r. Round w to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -24, 0.0756, -1\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2198*i**3 + 5*i**2 + 6*i + 4. Let f be h(-4). Suppose 0 = -6*z - 348883 - 1266725. Let p = f - z. Round p to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*h**5 + b*h**3 - 2785*b*h**2 + 6*b*h - 688*h**4 wrt h?\nAnswer: -120*b*h**2 + 6*b - 16512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162786 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 0 - 5 - 4 + 1 - 4 + 5 + 1 - 6 + 2 + 2 + (3 - 1 - 4)*(-2 + 0 + 0) + 2 - 3 - 1)*(-3*n**2 + 0*n**2 + n**2).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5864 - 5886 = -25*z. Suppose -15*a + z = 140. Suppose n - 29 = 3*w, 2*n - 3*w - 57 = -n. Calculate the remainder when a is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 897*s + 2 + 4945*s.\nAnswer: 5842*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.117 + -0.517. Which is the closest to y? (a) -2\/3 (b) 4\/7 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14878, 14976, 15074?\n\"Answer: 98*j + 14780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -104+-6\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (3 - 4)) + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuumumxupuux. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose -32 + 12 = -n + b*i, 0 = -2*n - i + 33. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3 - 36*g**2 - 123*g - 90 = 0?\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -336, -3125, -11122, -26931, -53156?\n\"Answer: -434*k**3 + 249*k - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1211220 divided by -60\nAnswer: 20187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, -2\/5, 8\/9, -0.3, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 18*k**2 + 19*k + 10. Let f be t(-17). Let y = 8 - f. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2883846509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -58. What is the remainder when 39 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*y - 319 - 29 = 0, y + 732 = 2*n. What is the least common multiple of n and 77?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + v**3 - 3*v**3 + (1 - 4 + 4)*(-6*v + 3*v**3 + 6*v) - 4*v**2 - 2*v**3 + 4*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l + m + 58, 0 = -m - 3. Let i = 13 + l. Is 3\/2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 1157170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1452623\/12 - -120981. Let y = 187\/4 + j. Find the common denominator of 47 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Suppose -m*u + 6 = -3*u. Let h be (-2)\/u + 44\/12. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873340.1 meters to nanometers.\nAnswer: 873340100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2027 - -4258. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2\/15)*a))\/(a\/(a**(-3)\/a)))\/(a**(-2\/5))**(-6\/7) assuming a is positive.\nAnswer: a**(-547\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c + 1. Let b(f) = 5*f. Let m = 183 + -178. What is m*b(x) - 2*i(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 235527.5?\nAnswer: 235527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4106, 16408, 36900, 65582?\n\"Answer: 4095*q**2 + 17*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6435975 is divided by 919425.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.9+-4.002\nAnswer: -2.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 232. Let s be f(-26). Solve -c + 6*c = 2*x + s, 3*c + 6 = 3*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 26, 27, 28?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28518.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15721 + 2*z**2 + 15*z**2 - 27*z + z**2 - 15719.\nAnswer: 18*z**2 - 27*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/6 - 7*p**5\/5 + 17*p**4\/2 + 142*p**3\/3 - 609*p**2\/2 + 441*p + 102. Factor h(j).\nAnswer: -(j - 3)**2*(j - 1)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 61 = -4*s, 0*s = -s + k + 19. Calculate the lowest common multiple of s and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + p + 2 = -p, p - 11 = -3*z. Let c be 34 - (z\/3 + -1). Let i = -17 + c. Solve 4*y - 5 = w - 4*w, -4*w + i = -5*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508899 is divided by 2570.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4725 at least as big as -4725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3255, 0, 460, -1 in increasing order.\nAnswer: -1, 0, 1, 460, 3255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*-19.46\nAnswer: 97.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itzzzmmitziiztmm. What is prob of picking 2 m and 2 i?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1698621 and 146733.\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((7 - 13) + 4 + 3 + -15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*v = -7964 + 2456. Suppose 3*m - 2*n - 599 - 107 = 0, -m - 4*n + 254 = 0. What is the greatest common factor of v and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758805 divided by 5.\nAnswer: -151761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -12. Let q be (4 + v\/(-2))*8. Suppose 3*y - 115 = 4*s - 6*s, -4*s = -q*y - 180. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-348)\/464)\/((-14)\/8) - 82\/126?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + n**4 - n**4 + (-n**3 + n - 6*n**2 - 15*n**2 + 8*n**2)*(n + 0*n + 5*n) to the form o + s*n**4 + l*n + v*n**3 + w*n**2 and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 + 4*d**2 - d**2 + (d - 3*d + 4*d)*(6*d - 2*d - 2*d) - 4*d**2 + 2*d**2 - 5*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2 + (-9)\/3). Suppose -m - 2 = o, 3*w - 7 - 3 = -m. Solve -16 = w*b + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2.2, -0.3, 48\/13, 44?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 13*o - 5*j = 6, -5*o + 3 = 4*j. Solve -o*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 918 and 486.\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 2*z, 0 = 7*z - 12*z + 3*c + 25. Let l = 23 - 2. Find the common denominator of z and (-14)\/l + 586\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -19. Suppose q*s - 59 = 46. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3788*m + 2814*m - 140256 = 0 for m.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 + 297.29. Let k = r + -299. Let f be 4 - 1 - (-240)\/(-70). Which is the second smallest value? (a) -2\/7 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 17 - (0 - 6)) + (-3 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*f - 334*f = 175 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 + 19 - 13\/3) + -2. Put 0, -0.5, -4, h in increasing order.\nAnswer: -4, -0.5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283566 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 -5*p + 48 = 2*j, -21 - 2 = -2*p + 3*j. Let l(r) = -2*r - 1. Let w(y) = -6*y - 4. Give p*l(n) - 3*w(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2591127 divided by 287903\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 94*t**2 - 81*t + 725. Determine b(-49).\nAnswer: -4910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 545584 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*k**5 + 31322*k**4 - k**2 + k - 40134884?\nAnswer: 2420*k**3 + 375864*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(24\/(-6))*2\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**4*r - 396067*q**3*r**3 - 118*q**2*r**2 - 2600*r**3 wrt q?\nAnswer: -120*q*r - 2376402*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60628 is divided by 869?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*n = 3307 - 8906 - 10161 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -43?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -142.854 times 449\nAnswer: -64141.446","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Are 0.1 and -258\/55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6523, -7059, -7955, -9211?\n\"Answer: -180*l**2 + 4*l - 6347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 + 0 = -2*o, -4*t = -5*o - 70. Suppose -5*p = 20, 5*h - 5*p = -p + 381. Suppose -72*k = -h*k + 14. Does k = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 4*w = 16511. List the prime factors of w.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2 (b) -1\/5 (c) -3\/14 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/24608 and -17\/372.\nAnswer: 2288544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - -2a4a34?\nAnswer: 2a4a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*p + 7*p + 22, 14 = -4*v - 2*p. Let s = -1.61 - -1.5. Let t = 1038\/7 - 148. Which is the closest to t? (a) v (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (sqrt(34) - (sqrt(34) + 2*sqrt(306))))\/(sqrt(2) - (-6*sqrt(8) - sqrt(2))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-10500)\/(-35)))\/((1\/5)\/((-56)\/245))\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 36*c**2 + c - 1. Let x(y) = 107*y**2 - 687 + 1398 - 713 + 3*y + 0*y**2. Calculate 8*b(v) - 3*x(v).\nAnswer: -33*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 33*a**2 - 3*a**3 + 54*a**2 - 21*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 477 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49813474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2401 and 35238?\nAnswer: 12086634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (19 - 1971\/54)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3268, -5, 894 in increasing order.\nAnswer: -5, 894, 3268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/17 (b) 169\/3 (c) -23 (d) 2 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((48\/56)\/1)\/((-3)\/(-21)). Suppose 2*k - 5*r - v = -7*r, 15 = 5*k + 3*r. Solve k*z + 9 = -3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9537.708l to millilitres.\nAnswer: 9537708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1341431*r**4 - 3847795*r**2 wrt r.\nAnswer: -32194344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeejjjeeeeeejeeeej. Give prob of picking 4 j.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2\/(8\/28). Let l(m) = n*m + 3*m - 3*m - 15 + 3. What is the units digit of l(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 14*r - 37*r + 10*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x - 2. Let c be (-2 - 0)\/((-4)\/10). Let f = c - x. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((-1*sqrt(120))\/sqrt(12) + sqrt(10) + sqrt(10) + sqrt(10)) + -3 - (sqrt(2187) - (sqrt(2187) + (sqrt(2187) - 5*-1*sqrt(2187))**2)).\nAnswer: sqrt(3)\/2 + 78729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3609 is divided by 405.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 + s - 2. Let r = -6 - -10. Suppose 2 + r = -2*f. Let c be h(f). Solve v + c*t - 7 = -t, 0 = 2*v + 3*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**(2\/13)*u)**(-25\/3))**(-36))**(2\/87))**(-20) assuming u is positive.\nAnswer: u**(-148000\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 8*g + 1. Let i be k(-9). Let q = i - -7. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3596)\/(-7812)*42)\/((-8)\/6)\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*q = 1360 - 2182 - 4074 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1\/3 (b) -3 (c) 2 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6889996281.\nAnswer: 3, 7, 521, 89963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1384 - 0.1384. What is the fourth smallest value in 56, -0.4, h, -6\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -52*o**3 - 5*o**2 + 7*o + 5. Let f(l) = 26*l**3 + 2*l**2 - 3*l - 2. Let a(t) = 5*f(t) + 2*q(t). What are the prime factors of a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(11*i**3 + 2*i - 2*i) + 22*i**3 - 364*i - 4*i**3 + 362*i as k + g*i + a*i**3 + c*i**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen ninths of a week in minutes?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/7 - 885*t**2\/7 + 27909*t + 196249\/7.\nAnswer: (t - 443)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4572 and 18347058?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3571*a**4 - 3574*a**4 - 3*a**3 + 0*a**3.\nAnswer: -3*a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3155 - 1373. Let j be 68\/(-25)*45\/n. Let x = -1\/45 + j. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o - 2 + 152 = 0. Solve 9 = -o*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.135 + 12.935. Let o = 0.03 - 0.43. What is the closest to 1 in o, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -374.96 and 68.\nAnswer: -306.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - 0.9. Let n = -0.5 + 0.7. Let l = q + n. Which is the third smallest value? (a) 0.4 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 16*j - 11. What is x(16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12128\/48)\/(2\/43) + (-7)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.81 - 18.91. Let i = 18 - 111. Which is the third smallest value? (a) i (b) -3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322720711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbbb when four letters picked without replacement from {p: 2, b: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 - 4099\/17. What is the third biggest value in 9, p, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244757 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -90*s**2 + 4184*s - 2018. Determine w(46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41012 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -21*k - 14. Let x be m(-1). Suppose 2*i = 3*i. Solve i = -v + n, -x*n = -v - 2*n + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284 by 71.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 204169050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + 30\/(-3 + 8). Suppose d*s = 8*s + 5*p + 208, 0 = -4*p + 16. What is the greatest common divisor of s and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -862*d**2 - 5*d + 21.\nAnswer: -1724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62\/(-837) - (6 - (-795233)\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z - 19. Let n(r) = -r**3 - 2*r - 9. Let k(a) = -2*c(a) + 5*n(a). Find the first derivative of k(s) wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*d + 89 + 59 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3087 - 130*q + 9243 - 3086 - 3084 to the form l + o*q and give o.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 2*q - 2. Let h(w) = -3*w - 2. Let p be h(-4). Suppose 5*i = 4*n - 8 - 2, -5*i - 4*n - p = 0. Give v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 18 = s. Let d(q) be the second derivative of 1\/3*q**4 + 0*q**2 + 0 - 1\/10*q**5 + s*q - 1\/3*q**3. Solve d(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 - 25) + -25 + -8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + 102*b**3\/7 - 45*b**2\/7 - 500*b + 1500\/7 = 0 for b.\nAnswer: -10, 3\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-95))\/((-357)\/140).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 4*n + 8. Let l be h(-5). Suppose 3 = l*c, p + 0*c - 178 = -c. Suppose -63 - p = -3*x. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 232 = 425 - 828 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256765 - 128647 + 58*k - 128118.\nAnswer: 58*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1094.7966 months?\nAnswer: 0.09123305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 20. Let z be w(8). Let b be (-582)\/4*7\/(-42)*z. Suppose h + 1 = b. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 15*y**3 - 5*y**2 - 9*y**2.\nAnswer: -15*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-6 - (19 - 23)) - 30\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = t - 60, 0 = -2*q + 2*t + 3*t - 1. Suppose -6 = -95*j + 93*j. Suppose -j*h = 13*f - 8*f - 28, -5*h + 10 = f. Put -2, h, 4, q in descending order.\nAnswer: 4, h, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1363891\/62 - -21999. Calculate the common denominator of -19\/10 and t.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 - 11*l + 13. Let i be j(9). Let b = i + 7. Suppose -11 = -3*o + b*o - 3*t, -3*o + 21 = -3*t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g**2*w**2 + 103*g**2*w + 4*g*w**3 - 110049*w**3 wrt g.\nAnswer: -12*g*w**2 + 206*g*w + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4450000 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13219457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6088 or -6\/9953?\nAnswer: -6088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50\/(-15))\/((-2)\/3). Suppose -k + 0*k = -2. Suppose -k*c + 5 = -3. Solve s*p - c*b = -b, 4*b + 14 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + (-7)\/((-385)\/297) + 1339\/(-1030)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3388288 divided by -4\nAnswer: -847072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 52, 91, 148, 229, 340, 487?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/3))**(-29)\/((g*g**(-2\/5))\/(g**(-1)\/g)) assuming g is positive.\nAnswer: g**(-329\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337*l - 102580 = 354*l - 461*l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0 (c) -6 (d) 2\/25 (e) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38639 (b) 1\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 21 = 4*i - i, -9 = 3*i. Suppose -z*p + 109 = -68. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 4998 = 24*x + 2*b, 5*x + 6240 = 5*b. Let f be -66*1008\/27*(x - -1). What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593\/46 at most as big as 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 49*y + 105*y in the form r*y + f and give r.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*r**2 + 1 + 53*r**2 + 381*r**4 + 1348*r**4 + 845*r**4)*(3 + 3 - 4).\nAnswer: 5148*r**4 - 6*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59245 and 51970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901241 is divided by 247.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*a - 170, 2*g - 3*a - 70 = -2*a. Suppose g = l + 2*l + f, 4*l - 48 = -f. Solve 2*s + l = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1373 + -1367. What is the remainder when 119 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 2373156?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 - 8*i**2 + 3*i**2 + 6*i**2 - 5*i**4 + i**4 + 2*i**4 + i**4 + i - i + 0 - i**4 + 0 + (2*i + 1 - 1)*(-4*i + 2*i**3 + 4*i) - i**4 - i**3 + i**3.\nAnswer: -3*i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 18 = -72. Solve f*r - 5*r = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108) + sqrt(108)*2*-3 + sqrt(108))\/(-1*sqrt(441)))\/(((sqrt(440)*-2)\/sqrt(11) + sqrt(40))\/(sqrt(810)*2)).\nAnswer: -54*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((702\/39)\/(-36)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1350, -1343, -1336?\n\"Answer: 7*i - 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose 9 = 5*q - 1. Which is the nearest to -2\/7? (a) -1 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1981 and 11\/180271.\nAnswer: 180271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18415 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 365012 and 140?\nAnswer: 12775420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9*p + 700. What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242040 is divided by 1060502.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {e: 6, g: 3, n: 3, t: 2, j: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 1 + 28 + -37 + 33 + -27\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -0.4, 1\/6, -0.52, -1\/7?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 3*d - 5*d)*(d**3 + d**3 - 3*d**3).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1.2 (c) -77\/8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 3. Let w be 27*22\/(-10) + (-12)\/20. Let r = 100 + w. Suppose f - 6 = 5*k - 34, 5*f + r = 5*k. Determine o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*11\/66.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 23*n**2 - 89*n - 10. Give v(-8).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 59525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 3\/86437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100\/79 - -195\/158. What is the common denominator of a and -79\/554?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**6\/10 + p**5\/20 + 97*p**2\/2 - 35*p - 86. Let o(n) be the first derivative of f(n). Differentiate o(b) with respect to b.\nAnswer: 12*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5, 2\/3, 1556, -1\/2, 3.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1, k: 2}. Give prob of sequence pi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 10. Let o be p(4). Let g(t) = t - 23. Let c be g(o). Put 3, c, -4 in increasing order.\nAnswer: c, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146\/11 or -12?\nAnswer: -146\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9)\/(o*o\/o**(-2\/3)) assuming o is positive.\nAnswer: o**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-128)\/56 + 4)\/(2\/(-798)*-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12439 is divided by 6193?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*g = 12, 1 = -2*o - g - 3. Let h = 7 + -4. Suppose o = -h*m + 2 + 7. Solve 0*k - 8 = -3*u + k, m*u = -5*k - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471.922g in milligrams?\nAnswer: 4471922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64332 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7308\/(-5481))\/(((-24)\/(-531))\/2).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9442\/(-2))\/((-795)\/30 + 26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*4 + 1 - (6*-2*sqrt(125) - sqrt(125))) + 4)**2*1.\nAnswer: 850*sqrt(5) + 36150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 2, 197, 4 in decreasing order.\nAnswer: 197, 4, 2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:30 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 72202122.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-8)*72\/(-180)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 2*f + 12. Suppose f*h - 12 + 3 = 0. Suppose 0 = -b + h, -3*v + 0*v + 3 = -5*b. Solve 3*m + 8 = -2*n, 0 = v*n - 2*n + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 125, 133, 159, 209, 289?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.4 (b) 1 (c) -0.5 (d) -7 (e) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*s = -7*s + 970, -4*v + 5*s + 990 = 0. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 5*x**4 + 0*x)*(2 - 2 - 3)*(3*x - 6*x + x).\nAnswer: -30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbibbbbiiiiibibibi. Give prob of picking 1 i and 3 b.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-270))\/(3\/(-9))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62.41 - -62. Let y = 0.46 + f. Suppose -3 = 3*k - 0*k. Which is the closest to 0.2? (a) k (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 - 9*g**2\/2 - 3*g + 199. Give y(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -716 and -759090?\nAnswer: 543508440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 8 = -104. Solve -20*x + q = -16*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/4 - q**3 - q**2\/2 + 6*q - 5. Let j be h(-3). Let t(u) = -u**3 + 9*u**2 + 3*u + 11. What is the tens digit of t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10.445, 35, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3649.7 + -3169.76. Let l = -485 + p. Let a = l - -0.06. Sort a, -1\/4, -3 in ascending order.\nAnswer: a, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-3)\/(18\/69). Let b = l + 16. Let q(c) be the first derivative of -c**3\/3 - 3*c**2 + 3*c - 1312. Give q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -72. Let w = 4.18 - 4.68. What is the smallest value in w, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17696157*y**5 - 862*y**2 - 10*y - 122.\nAnswer: 1061769420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:06 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 63832.4122 to the nearest ten.\nAnswer: 63830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -5, 1\/4, 2\/1337?\nAnswer: 2\/1337","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090576 rounded to three dps?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = 5*r + 161. Suppose -2*h - r = 34. Let c = 134 - h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/63*9 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -2\/3*g**2 + 29 - 1\/18*g**3 + 0*g. Factor s(o).\nAnswer: -o*(o + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-266)*52\/26*7\/(-2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 234177511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509093, 1018145, 1527197, 2036249?\nAnswer: 2545301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-733*l + 384*l - 2 + 3)*(-6*l**2 - 23*l + 23*l) to y*l**3 + n*l + o + d*l**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/2 - 21212313*h + 149987407603323\/2 = 0. Calculate h.\nAnswer: 7070771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*x + 10, -3*r + 22 = r + 3*x. Suppose 29 + 83 = r*j. Solve -j = -3*h - 5*a, -h - 2*a = a - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2093 = 5*f, -2*f - 2*f = -2*z + 1394. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 7:23 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*j - 1 - 11, -4*j = 2*y - 14. Suppose 5*f = -5*b + 28 + 2, -j*f = 5*b - 28. Suppose -106*k - 2 = -108*k. Sort 4, k, b.\nAnswer: k, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 4, -4 in increasing order.\nAnswer: -21, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 1\/5*d**6 + d**2 + 7\/10*d**5 + 5*d + 0 + 4\/3*d**4 + 1\/42*d**7 + 3\/2*d**3. What is g in z(g) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 1979*z**2 + 3 + 0*z + 1000*z**2 + 965*z**2.\nAnswer: -14*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**6 + 117*w**4 - w**2 - 117*w**4 + 9 + 10*w**6 wrt w.\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(3 + 0) + 3 - 4. Let l(q) = -q**2 - 3 - 2*q**2 + 2*q**2 + 6*q. Let z be l(2). Solve -z*v + x = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 2 - ((-2280)\/(-32))\/15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7668 + 7708. Calculate the lowest common multiple of f and 1\/(2\/20) - -2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -1.6.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -35.0033. Round v to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 + 5*p + 5. Let s be x(-6). Suppose 0 = -5*l + 875 + 225. Suppose -4*q + l = -0*q. Calculate the greatest common divisor of s and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.46 + 0.538. Let d = 3.078 - f. Let n = -9 + 8.7. Which is the nearest to n? (a) d (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 1\/2 (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6059, -12365, -18651, -24911, -31139?\nAnswer: -37329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23571 times 0.05\nAnswer: 1178.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4.2, 3, -2957, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 6) + 6\/2. Let b = 47 + r. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147100 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -350552 (base 10) in base 7?\nAnswer: -2660006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -891\/5. Is -1\/41 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s - 8 + 7 - 22*s**3 + 23*s**3 - 2 - s**2. Is y(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 2*u)*(-u + 4 - 4) + (2*u + 4 - 4)*(3*u - u - u) - u**2 - u**2 + u**2 to o*u + r + t*u**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 46805 = -5*x, -3*x - 15628 = -4*s - 43711. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 + 1804*d**4 - 20415828*d**3 + 14998508548*d**2 + 15018926176*d = 0. Calculate d.\nAnswer: -2776, -1, 0, 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 + -24.67. Let h = -560 + 559.9285. Let n = h + -0.1285. What is the nearest to n in 5, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 i, and 1 p when four letters picked without replacement from ifbfffbfibipfbifbf?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -10 - 38. Suppose 4*z - y = -4*x + 36, 12 = z - 5*x. Let u = z + -8. What is the closest to 1 in 3, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*g = 147*g + 54 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -304bb7 (base 13) in base 8?\nAnswer: -4224504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 2*q + 3. Suppose 3*a + 15 = -2*a. Let h be b(a). Let o(d) = -d - 5. Calculate o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggtv when four letters picked without replacement from {g: 7, v: 11, t: 1}.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqddqqqqqqqqddqqqd. What is prob of sequence ddqq?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23446262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o. Let x be m(-1). Suppose -3*k - 2*k = -90. Let j = 81 - k. Calculate the highest common factor of x and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -113, -270, -453, -662, -897?\n\"Answer: -13*p**2 - 118*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3035 - 2317. Calculate the remainder when j is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -535.5896?\nAnswer: -12318.5608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*n + 12, -8*y - 5*n - 6 = -10*y. Find the second derivative of -4423*k**3 + 29*k + 4391*k**y + 4*k wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -23. Let m be 32\/12 + y\/3. Let q(o) = o**3 - 5*o**2 + 5*o - 2. Determine q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/88964 and 6\/11.\nAnswer: 978604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -39 (c) -18 (d) 4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.738 + 2.738. Let h be 2 + (-1)\/((-5)\/(-8)). What is the nearest to 1 in -0.2, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3552780, -3552790, -3552826, -3552894, -3553000, -3553150, -3553350?\nAnswer: -3553606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmccxccmxmcccccxmxm. What is prob of picking 3 x and 1 c?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 402\/2038747 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-188)\/(-50))*(-35)\/14. Which is the nearest to -0.6? (a) 0.5 (b) -2 (c) -5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -17*q**2. Let g(k) = 27*k**2 + 10*k + 5. What is g(z(s))?\nAnswer: 7803*s**4 - 170*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-12)*((-144)\/21 + 3). Let g = -13 - b. What is the common denominator of 1\/18 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-3 + 4 + 4. Let d be a\/(-17) - 135\/153. Sort d, 2, -8.\nAnswer: -8, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u*w - 24482*u - 424*w + 136 wrt u?\nAnswer: 3*w - 24482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105128 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (62 - -10)\/((-3)\/(-2)). Let n = k + -20. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5548 is divided by 614.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748 - 1064 = 74*h - 222 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**2 + 3*n**5 + 4*n**5 - 3*n**5 - 5*n**2 wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/10*-100*6\/(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = -12. Let f(t) = -6*t**4 - 2*t**3 + 3*t**2 + 3*t + 3. Let y(c) = -c**2 - c - 1. Let o(a) = x*y(a) - f(a). Factor o(i).\nAnswer: 2*i**3*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -173570 (b) -29\/12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4000*b + 4020*b = 13660. What is the remainder when b is divided by 671?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/14)\/((-35)\/490). Solve 5*f = h - 41 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - (-3 + 182\/49). Let f(b) = 1. Let r(h) = 4*h - 8. Let n(i) = -5*i + 8. Let w(g) = 6*n(g) + 7*r(g). What is l*w(y) - 5*f(y)?\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 21 = 2*i + 6, -6 = i - 2*j. Which is the smallest value? (a) 1\/3 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.87 - -5.87. Let y = -2 + 1. What is the closest to y in 0.4, p, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 - 0.8. Let x = -4.1 + d. Which is the nearest to 1? (a) -2\/5 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.878591927 to four dps.\nAnswer: -0.8786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -418 - -363. Let a be (4\/(-5))\/(22\/f). Solve a*d = 7*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136796473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 - 1)) + -1638 + 1654?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-4)*(-2 - 0). Let z be -10 + 3*42\/9. Solve z*p = -p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 8. Let g be y(6). Let d be (0*(2 - 1))\/g. Solve u + 3*u - 12 = d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/415 and -19\/15.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 48. Let i(s) = -s - 3. Determine -21*i(h) - n(h).\nAnswer: 18*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1056*p**3 + 2 - 406*p**3 + 613*p**3)*(-3 + 5 - 3*p - 4) + 2*p**4 + 4*p**3 - 4*p**3 to the form t*p**4 + g*p**3 + x*p**2 + o*p + u and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12333 (base 4) to base 14.\nAnswer: -23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8195 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 3*y**2 + 2*y**2)*(1 + 2 - 4) - 3*y**2 - 2*y**2 + 4*y**2 - 2*y + 2*y + 2*y**2 + (2 - y - 2)*(y - 3*y + 0*y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -505 - -30411?\nAnswer: 25502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n**2 - n)*(3*n - 6*n + 0*n + (6 - 2*n - 6)*(-3 + 2 + 0)).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 2128*y + 4252 = 0. What is y?\nAnswer: 2, 2126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115 - -119) + (-7 - 32)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13602839069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(3\/(-8)). Let v be (-9)\/h + (-6 - -8). Let s = 2 + 2. Which is the third smallest value? (a) 3 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1290887.99971 + 1290881. Let k = 266.2 + -273.2. Let s = k - r. Round s to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 55 = 6*g. Determine c, given that 9*c - g*c - 2*c**3 + 3*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h**3 - 11509*h**2 - 60338*h - 12840 = 0. What is h?\nAnswer: -5, -2\/9, 1284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2. Let h(z) = 3*z - 75. Give h(o) - 4*r(o).\nAnswer: 3*o - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:33 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.836 - -19.8359967702. What is f rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 6*j**2 - 15*j - 11. Give k(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 10) + 1 + 94 - (752 + -757)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**3 - 2*d**2 + 3*d + 4. Let y(b) = -3*b**2 + 4*b + 2*b + 0 + 8 + 9*b**3 + 0*b**2. Let q(p) = -7*u(p) + 3*y(p). Calculate q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.68? (a) 5 (b) -10 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - 37*c + 65*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*w - 7*w + 2*w. Let n(l) be the second derivative of w - 1\/4*l**4 + 0*l**2 + 1\/14*l**7 - 6*l + 0*l**3 + 1\/10*l**6 - 3\/20*l**5. Factor n(f).\nAnswer: 3*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1524*m**2 + 4751*m**2 - 1324*m**2 - 1568*m**2 in the form u*m + i + r*m**2 and give r.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2 + 376*c**3 - 29 - 9*c + 1648*c**3 + 103 + 49 wrt c?\nAnswer: 12144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394448 and 82592?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let w(n) = n**2 - 3*n. Let c(o) = -6*h(o) - 2*w(o). Let a be (4\/(-3))\/((-20)\/45). Let i(y) = -1535 - a*y**2 + 1535. Calculate c(i(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1703403, 6813632, 15330683, 27254556, 42585251, 61322768, 83467107?\n\"Answer: 1703411*o**2 - 4*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -19 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*l - 12 = -3*l, -3*l + 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let q(c) = 11*c - 3. What is -q(h) + 2*t(h)?\nAnswer: -13*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cchimyyyyyymmsscmcy. Give prob of picking 1 y, 1 i, 1 h, and 1 m.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 + y + 1. Let x be m(-1). Suppose 0 = 5*f - 0*f - 40. Let h = x + f. Calculate the highest common divisor of 18 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 - 1703866*m**2 - 23854418*m - 83490806 = 0.\nAnswer: -7, 851947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 191*g - 183*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -435 - -388.1. Let r = 71 + -118. Let f = g - r. What is the biggest value in 2\/7, 0, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2 + 2)*(4 - 3 + 1) + (6 - 4 + 0)*(2*k + 4*k - k)*(0 - 3 - 5).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + -47*(-2 + 1) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -1, 1, 0, -4, 3 in ascending order.\nAnswer: -4, -1, 0, 1, 3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5107717591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 0*r + 4*r**2 + 1 + 3*r - 5*r**2 + 2. Let d(b) = -b - 1. Let q be d(-4). Let y(w) be the first derivative of w**2\/2 + w - 1. Calculate q*y(g) - o(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*r = 951, -33*r + 32*r - 2231 = -7*c. Calculate the greatest common factor of 352 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/15*1)\/((-5)\/(-510)). Put m, -65, 1 in decreasing order.\nAnswer: m, 1, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 10:28 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.422, -2\/5, 4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-45 + 26 + 49)*(-3 + 3*s - 2*s - 2*s + (2 + 2 - 2)*(s - 2*s + 3*s)) to f*s + b and give f.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 33*i + 119 = -321 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 + o**2 + o - 1. Determine l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 16.4. Let q = -10 - l. Let b = q - -0.6. Sort b, 0.4, 0 in descending order.\nAnswer: b, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4780192 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*4.19.\nAnswer: -0.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 11. Let o = 12 + -4. Let x be a(o). Solve -2*j + 9 = x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + 8 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 2251 - 1268 = 0. Which is greater: -151 or a?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/23607902 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) 1 (c) 2\/235 (d) -0.1 (e) -66209 (f) 0.4 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a factor of 3616233514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67659.\nAnswer: 3, 19, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 5*b - 4. What is s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s + 20. Let d = -0.2 + 1.2. Suppose p = 5*c - 0*p, 2 = 3*c - p. Put d, s, c in ascending order.\nAnswer: c, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1144*z - 1178*z + 0*z**3 + 2322*z + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p - 18 + 59 + 4 - 17 + 1. Let g be d(-2). Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47175400.\nAnswer: 2, 5, 235877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.0000806 - -12. What is h rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q - 2. Let i be p(-6). Let d = -3 - -3.1. Which is the nearest to 0? (a) 3 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 47. Let k(p) = -p + 1. Let y(m) = 8*m - 8. Calculate s*k(q) + 2*y(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -2.31. Let i = -3.6 + q. Let h = i + -0.7. Which is the third biggest value? (a) 1\/4 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14795\/(15\/9 - 2). Let s = z - -71488. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -18*b - 267. Let m(h) = 9*h + 134. Determine -5*m(l) - 2*o(l).\nAnswer: -9*l - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 + 293. Suppose 9*s = t - 463. Let r = s + 38. Solve -z - 5 = r*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162, 252, 342, 432?\n\"Answer: 90*q + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 7*h - 5. Let d be g(-7). Let u(l) = -l - 8. Let t be u(d). List the prime factors of t\/2 + 234\/4.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*m + 164 = 0, -2*m - 123 - 229 = -2*i. Suppose 4*y - 1524 = 2*j, -y + 553 = -4*j + i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((69\/(-184))\/((-4158)\/120))\/(2\/31) and 62\/33.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1330 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3\/7 + 39*q**2\/7 + 3195*q\/7 + 29025\/7 = 0. Calculate q.\nAnswer: -15, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.25862359 to 2 dps.\nAnswer: 3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, -9 in decreasing order.\nAnswer: 5, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 7*p + 3. Let m be -2 + 0 - 0\/(-3). Let d be m + 10 + 2 + -2. Is s(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 + -3. Let u = 11 + -7. Sort u, -1, f.\nAnswer: -1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = x, 7*x - 21 = -3*z + 2*x. Solve c - 2 = z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 46. Let c = x - 12. What is the second derivative of -5*l + 8*l - 4*l**c + 15*l**3 wrt l?\nAnswer: 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 2)*(10*m**4 + 1 - 15*m**4 - 5 + (-4*m - 2*m**2 + 4*m)*(2*m**2 + m**2 - 4*m**2)).\nAnswer: -3*m**5 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-58 + (13 - 27 - -14) + 9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 23*k**2 - 142*k + 120.\nAnswer: -(k - 12)*(k - 10)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1694)\/(-2541))\/(114\/27)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 6*g = 0. Let x be (-2 - g)\/((-10)\/60*-6). Let q(a) = 10*a + 4. Give q(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -a - 13, -5*a = -2*a + 5*y - 11. Suppose a = 3*d - 0. Suppose 2*o = d*o - 34. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5620 or -5658?\nAnswer: -5658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -33*a + 10. Determine s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/132401 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19504801.41214395 - -5432555.112144. Let j = l + 14072246. Let i = -0.3 - j. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyq when three letters picked without replacement from yqaqtaaataysat?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1180728 and 19\/1328319?\nAnswer: 10626552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 2*s**3 + 3*s**3 + (-s**2 + s - s)*(s + 0*s + 2*s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m**3 + 90*m**3 + 92*m**3 - 309*m**3.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19478 is divided by 4866?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(132) + sqrt(132))*5 + (sqrt(132) - (sqrt(132) + (2*sqrt(132) - sqrt(132)) + sqrt(132)))*1)\/((-5*sqrt(132)*-3)\/sqrt(11)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89, 213, 371, 569, 813?\n\"Answer: z**3 + 11*z**2 + 84*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**5 + 5*w**3\/3 + 144. Find c, given that a(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-18)*3). Suppose -38 + 13 = 5*m, 5*h - p*m = 40. Solve -h*s = 2*l, -2*l - 2*s - 16 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 828 + 828. Let a(i) = 13*i**2. Calculate v(a(n)).\nAnswer: -169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000668502549 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttk when three letters picked without replacement from kdkktkkxxytytk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5303333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -1.013?\nAnswer: -19.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 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: Is 49 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.1945547733701 and -1.2.\nAnswer: -9.3945547733701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39001429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 13*j**2 + 30*j + 14. Let q be k(11). What is the highest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = 62*w - 71 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.54 - -41.21. Let t = 0.67 - v. Let f = 39.986 + t. What is f rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28226 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 11*i + 3. Let p be g(11). Let k be (0 - -2) + (4 - p). Let c = 4 - 4. Solve c = k*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 71 = -11. Suppose p = -3*g + 4*g. Is 11 a factor of g\/2*10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97558972881853+-2\nAnswer: -97558972881855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 160533179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 60*g. Let o(d) be the second derivative of d**3\/6 - 6*d. What is r(o(k))?\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4634.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*g**2 + 590*g**2 + 1378*g**2.\nAnswer: 1449*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-12)\/(-2))*1*-1. What is the third derivative of 11*i - 4*i**2 + 3*i**6 - 5*i - 4*i + 3*i**p wrt i?\nAnswer: 360*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -11. Let o = -1 - j. Let y = 6 + o. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 279478000 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/a**(-6))\/a)\/a*a*a*a**(-2\/27)\/a*a**0*a**(-1\/11))**(3\/19) assuming a is positive.\nAnswer: a**(2327\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.621 + 4.621. Sort -21, y, 2, -2 in increasing order.\nAnswer: -21, -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 + 5*p**2 + 3*p - 12. Let m be l(4). Suppose -2*s = 2*d - m, 3*d = s + 4*s - 840. What is the smallest common multiple of 6 and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -1, -1\/2, 5\/12, -5, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*h - 7*h = -16, v + h = 10. Let c(k) be the third derivative of -k**4\/12 + 7*k**3\/6 - 185*k**2. Give c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69528*k**2 - 69399*k**2 + 138783*k**2.\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 < -1406\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 28*s + 72. Let x be v(-24). Let c be (-30 - 0)*(88\/x + 3). What is the highest common divisor of 80 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/56)\/((-1)\/(-6)*3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61274, 122845, 184416, 245987, 307558?\n\"Answer: 61571*j - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9*q = -43, -5*q - 5 = -5*s - 0*q. Sort 44, s, -2, 7 in increasing order.\nAnswer: -2, s, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 x when three letters picked without replacement from pxpxoxraoxrppa?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {k: 7, n: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 2 + -27 + 33?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1125)\/(-30))\/(50\/(-20))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-57)\/9 - (4 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15539 + 15538.972556. Let k = u - -0.0405. Let j = 0.013 - k. What is j rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-16)\/(-14)) - 1\/(-2). Solve b*v - 7*v - 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Suppose -35 = -j - 4*j. Let p(c) = -4*c + 3*c + 5*c. Suppose 1255*s - 2 = 1256*s. Give j*d(r) + s*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/90 - w**5\/30 + w**4\/36 + w**3\/9 + 22*w. Determine q, given that m(q) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 3 - 48*k + 39*k)*(-2*k + 4*k - 3*k) to p*k + d + c*k**2 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4 + -4)\/(-1))\/(12\/4). Suppose i = 5*d + 21 + 69. Are -15 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43300326*0.3\nAnswer: 12990097.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -289858?\nAnswer: -289861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/(-192)*8 - 9)\/(3\/(-24)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 38*q**2 + 13*q + 3057. Give i(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/23256*144\/(-27)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s - 8. Let v be d(8). Suppose -m + v = 3*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -2*u. Is 74*u\/(8\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3635 = -4*t + 3623 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 154 = -22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 - -3) + 141 - -22?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19337180 and 620?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181410707 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(63)*-1)**2 + 5*(6*sqrt(35))\/sqrt(5).\nAnswer: 30*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 2)*(-g + 0*g + 3*g) + 140*g - 71*g - 68*g - 266 to the form w + i*g and give w.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 752 - 56*v**2 - 1486 + 741 - 3*v**3)*(-2 + 1 + 3).\nAnswer: -6*v**3 - 112*v**2 - 6*v + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 123 and 31502\/259 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*o + 92*o - 6*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252497.\nAnswer: 7, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-30))\/(14\/2975*17). Put q, 0, -1839 in decreasing order.\nAnswer: q, 0, -1839","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3769.\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61\/2 of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 3 + 0 + 3 - 9*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3581\/84 - -128\/3. Calculate the common denominator of s and 33\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60405645, -120811289, -181216933, -241622577?\n\"Answer: -60405644*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 990089119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*a - 1214 = 0, -22*u + 18*u = -5*a + 1234. Let w be (-3)\/(-6) + (-181)\/(-2). Let v = w - u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 23180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 356 - 13174\/37. Let q = -517\/6 + 86. Is d <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18763, 18787, 18811, 18835, 18859?\nAnswer: 18883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 5*k + 2. Let l(n) = n**2 - 3*n - 1. Determine -3*i(t) - 5*l(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/((-21)\/(-3)))\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35766 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110111001000001 + 101101?\nAnswer: -1101110111000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.7882 - 0.7582. Let s = w - 31. What is the third biggest value in s, 5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -26 + -14 + (7 - -8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77353.47 times -3?\nAnswer: -232060.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 8*x - 9. Let t be z(6). Suppose 43 = t*o + 4. Solve 5 = -4*n + o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 11:57 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(76) + 0)**2 + -2 - (sqrt(76) - (4*1*sqrt(76) + sqrt(76))**2))*2.\nAnswer: -3948 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 1, j: 1, o: 1, a: 2, u: 1}. What is prob of sequence ku?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4203204.6 - 4203205.60000055. Let o = -1 - j. Round o to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -9 - 11. Let s be ((-3)\/q)\/(2\/(-16)). Let b(m) = -2*m**3 - 23*m**2 + 11*m - 8. Let o be b(-12). What is the highest common divisor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g**3 + 7*g**2 + 7*g - 7. Let x(j) = -j**3 + j**2 + j - 1. Calculate 2*n(l) - 14*x(l).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 54 - 41 + 86 + (-4 + 4 - 2*h)*(-3 + 2 + 0) + 7*h + 22 - 22 as z + b*h and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**2 - 2*w**2 + 11*w**2 + 1 + 4*w**2 - w**3 + 5*w. Let h = -350 - -355. What is i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -121*u**7\/14 + 9119*u**6\/40 - 826*u**5\/25 + 3*u**4\/2 + u**2 - 4*u - 197. Factor j(z).\nAnswer: -3*z*(z - 15)*(55*z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 14*p - 32. Let d be u(16). Suppose 4 = g - d. Sort -3, g, 2.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60701178.\nAnswer: 2, 3, 431, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s. Let q(y) = -29*y. Let p(n) = 6*q(n) + 17*v(n). Let i(m) = 2*m**2 + 24771 - 24771. Determine i(p(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1614257203 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -103, 2, 25.\nAnswer: -103, -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:40 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-6))\/((-10)\/15). Suppose -c*p = -5 - 5. Suppose -57 = -p*w - 13. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 617499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 205, 317, 469, 661, 893, 1165?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 23426873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071 is divided by 654?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/7, 6.3, 9 in decreasing order.\nAnswer: 9, 6.3, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92594 and 536?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (578 - 0) + (-15)\/(-5). Let m = -581 + i. Solve -4 = -4*k, m = -o - 5*k + 5 + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 24606\nAnswer: 13\/12303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145 + 448167\/3081)\/(90\/52).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 601\/2 + -4201\/14. What is the fourth biggest value in 2\/3, 1, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c**2 - 10*c**2 + 0*c**2)*(2*c - 2*c + 2*c)*(c**2 + 0*c + 0*c).\nAnswer: -68*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 94389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - k**3 - 9*k**2 - 14*k - 18 + 10*k. Is 9 a factor of n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/2 + 63*d\/2 + 31 = 0.\nAnswer: -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 444 = 774. Let z = r + -84. Solve f - z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46869 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11874207*g - 35622626*g + 11874226*g + 11874208*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**2 + 5*a + 5. Let i be q(-1). Let v(m) = m**2 - 17*m - 1. Is v(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.92 - -0.08. Do q and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 3*o + 4*o + (2 - 3 + 3)*(3*o - 5*o + o) + 3*o - 4 + 4.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15\/4 (b) 0.5 (c) -2\/3 (d) -216\/5 (e) -0.1 (f) -0.5 (g) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 = -63*y + 59*y, 5*j + 24 = -y. Let v(z) = -z**2 - 2*z + 1. What is v(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-9\/7))**(6\/11) assuming w is positive.\nAnswer: w**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 19 + 3 = o, -5*o - 3*n = -10. Which is smaller: -1\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106030403 - 2?\nAnswer: 106030401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/954 and -193\/1355940.\nAnswer: 71864820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0\/3 + -1. Suppose -1 = 3*i - 4. Let g be (-3)\/(-6) - i\/2. Solve -s*f - 2*f + 16 = g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = 0, 5*z + j - 20546 - 31682 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 4)*(5*b + b + 0*b) + (-5 + 2 + 2)*(-3*b - 2*b + 4*b) in the form u*b + y and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1700122 and 3?\nAnswer: -5100366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 90 - 121)*(-2*y**2 - 4*y**2 + 3*y**2).\nAnswer: 858*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 7*q - 10. Let c be a(-4). Suppose -8*t = -3*t - 10, 5*t = -3*l + 19. Differentiate -3 - 5 + c*k + l - k with respect to k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 2, l: 1, h: 2}. Give prob of sequence eefl.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o*o\/(o\/o**(-4\/5))))\/((o\/(o**(-7)*o))\/o)*o\/o**2*o*((o\/(o*o**8))\/o)\/o)**(4\/5) assuming o is positive.\nAnswer: o**(-344\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -146a1 (base 11) to base 16\nAnswer: -5142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) - sqrt(2700)*-1)*4)**2.\nAnswer: 172800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.68 (b) -2\/45 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let w(z) = 85 + 87 - 251 + 79 + 557*z. Calculate l(w(a)).\nAnswer: -1114*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 88 + -6 + 43 + -74 - 8\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131433 (base 6) in base 15?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from ddddddddddss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7582 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from lebee.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 9 - 7 + 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47417918?\nAnswer: 2, 71, 333929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**3 - 6*z**3 - 407 + 401 wrt z?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 8. Suppose -2*t + 4 = -g. Suppose -2*z = 2*w + 1200004, -t*w - 5*z - 1800010 = -w. What is w rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22857, 45717, 68577, 91437?\n\"Answer: 22860*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**3 + 3*f**2 - 8*f - 11. Give o(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 153903 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*h*i**2 - 536*h*i - 3710*h wrt i?\nAnswer: 54*h*i - 536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - s = -7, -2*z + 15 = -7*z - 5*s. Let v(m) = 1 - 3 - 5*m + 1 - 2. Is v(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.04 + 0.04. Let p = 0.06 + -0.01. Let z = p + 0.05. Which is the closest to z? (a) l (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)\/(sqrt(900)*-2 + sqrt(900) - sqrt(900)))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/(-1406))\/((2\/(-8))\/(-1))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 34.00046. What is y rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 100823 = -5*l + 5*s, 0 = -3*l - 2*s + 302435. Round l to the nearest one thousand.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.451 and -0.5.\nAnswer: 7.7255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 + 0)*(24 - 24 + 7*b) + 0 + 0 - b)*(2*b + b - b)*(-3*b - 2*b + 2*b).\nAnswer: -162*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2 - -1) + 1)*-1. Suppose b*m - m = 0. Suppose 2*u + 2 - 14 = m. Solve 3*w = 3 - u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -40, -51, -64?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 2457.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4848 or -3471?\nAnswer: -3471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120411097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 200c - -c4?\nAnswer: 20d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 19 + 3*v**2 - v - 50 + 21. Let m be t(-3). Solve -2*f - m = d + 3*f, 2*d = -5*f - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/9, -4, -1, 3895\/3 in decreasing order.\nAnswer: 3895\/3, 5, -1\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f - 2084 - 1430 = 22*f + 358 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-270)\/(-1080) + (-398)\/(-8). Put -3, 4, -10, m, -1 in decreasing order.\nAnswer: m, 4, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:25 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.6. Which is the third smallest value? (a) -3 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p - 70*p - 18799 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 115370 = -5113*n + 5117*n, -n + 4*o = -28825. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 + 7*y**2 - 5*y - 5. Let p be (-486)\/63 - (-4)\/(-14). Let b = 3 + p. Let x(s) = -2*s**3 - 4*s**2 + 3*s + 3. What is b*x(j) - 3*g(j)?\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 6 = 8*o. What is the second derivative of 205*t - 45*t**o - 106*t - 137*t wrt t?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47862753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -1 + 8. What is the hundreds digit of 642\/4 + (s - 3\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 3*m**2 - 12*m**2 - 36*m**2. Let h(v) = -v**2. What is a(h(c))?\nAnswer: -45*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 5*l**2 + l**2)*(9 - 23 + 1)*(2 + 0 - 9).\nAnswer: -455*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) + (-2756)\/91. Let i = -24 - u. What is the remainder when 9 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7890.55 + 7891. Put -1, p, 3\/7 in decreasing order.\nAnswer: p, 3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 695.2079 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 7*f**6\/30 - 3*f**2\/2 + 6*f - 9. Let h(b) be the first derivative of l(b). What is the first derivative of h(t) wrt t?\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461783916?\nAnswer: 2, 4871, 126349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0 + 0*w**3 - 39*w + 0*w**2 + 3\/16*w**4 - 3\/32*w**5 + 1\/80*w**6. Suppose t(c) = 0. What is c?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -32*s - 153. Let u be q(-6). Suppose -u*p = 23 - 23. Factor -32\/5*y + 0*y**2 - 2\/5*y**5 + 0*y**4 + 16\/5*y**3 + p.\nAnswer: -2*y*(y - 2)**2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 110, 183, 256, 329?\n\"Answer: 73*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/21 - 100\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -483 - -490. Let r be 10\/10 + -2 + -1. Put -0.03, r, l in descending order.\nAnswer: l, -0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 3*o**2 + 12*o - 1. Let k be r(5). Suppose -k*p - 21 = -16*p. Put p, -2, -46, 1 in increasing order.\nAnswer: -46, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -80. Suppose -5*w = 4*m - 21, -4*w - 3*m + 9 + c = 0. Let x(q) = 3*q**2 - 5*q + 1. Let t(u) = -u. Calculate w*x(n) - 5*t(n).\nAnswer: 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(37\/(-37)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*(u\/(u\/u**14))\/u)\/u)\/u)\/u*u\/(u\/(u\/u**(-10))))\/((u\/(u*u**31))\/u**13) assuming u is positive.\nAnswer: u**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 3*q + q + 4*q. Let m(g) = -2*g**2. Give m(v(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -26*x + 52. Calculate o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 24*v + 150. Let s be u(-5). List the prime factors of ((-280)\/s)\/(4\/(-78)).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048001.\nAnswer: 41, 25561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 768 = 14*s + 3*t, 3*s - 4*t + 761 = 0. Let i be 30\/(-20) - s\/2. Calculate the greatest common divisor of i and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -210999?\nAnswer: 210997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296600 and 108600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15*u**2. Let s(l) = -10*l**2. Calculate o(s(a)).\nAnswer: -1500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -137, -136?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8835*x**3*z - 2236*x**3 wrt z?\nAnswer: 8835*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 + 7 - 0) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 - -110. Solve -12 = 3*p - 2*b + r*b, -3*p - 5*b - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjkspku. Give prob of picking 1 p and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0*a = -3*a, -4*u + 5*a + 4 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1156*q**4 - 734*q**3 + 12*q + 626463?\nAnswer: -13872*q**2 - 4404*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655593803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c - 20*c - 13*c + (3*c - 2*c + c)*(0 + 0 + 1) + 0*c + 0*c - c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 9097.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*s = -a + 35, 4*a = 4*s + 128. Calculate the remainder when 71 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(162))**2 - (sqrt(88)\/sqrt(11))**2.\nAnswer: -72*sqrt(2) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 7\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -435*n + 161*n - 1452 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 632 + -562. What is the remainder when n is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1536 by 3.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-154))\/(2588\/(-5864408))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/6 - 77*m**3\/6 + 57*m**2\/2 - 21*m - 1. What is the derivative of p(v) wrt v?\nAnswer: 4*v - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 40, 65, 106, 169, 260, 385?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*n - 12 = 0, -15 = -2*j - n - 4*n. Let o(h) = j - 3*h - h - 4 + 6*h. What is o(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52332187?\nAnswer: 479, 109253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 46, -50, -244, -566, -1046, -1714, -2600?\nAnswer: -3734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 1368000.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92390 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4 - 3 - 7 - 3 + 2*z. Let p be y(6). Suppose p*n - 212 = -n. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2754)*1 + sqrt(2754) + sqrt(2754) - sqrt(2754))\/sqrt(2).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w. Let d(g) = -g**2 - 3*g + 1. Determine 2*d(o) + 5*k(o).\nAnswer: 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/6 - x**3 - 3*x. Let z be m(5). Suppose 4*j = -0*j + z. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -260 - 1. Let y = 264 + p. What is the second biggest value in 2\/19, y, -0.4, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -201 (c) 523 (d) 4\/37 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k - 4560. Let d = -54673\/12 - k. Calculate the common denominator of d and 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = j. Suppose -3*z - 4*w = -14, j = -0*z + 4*z + 3*w. Let m = 11 - 7. What is the remainder when m is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-5 + 3) + 10. Suppose p*j + 5*v = 7*j - 393, 0 = 4*j + 5*v - 524. List the prime factors of j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431.77 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4))**(-23)\/(o**(-2\/5)\/o)**(-5)*(o*o\/(o*o*o*o*o**(2\/5)*o*o))**(43\/3)\/(o**3\/(o**(-9)\/o)) assuming o is positive.\nAnswer: o**(-4639\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:22 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -442.9 - -448. Let s = 5.3 - c. Sort s, -19, 0.1 in descending order.\nAnswer: s, 0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23571 or -23572?\nAnswer: -23571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952*n = -872*n - 560. Solve -4*a + o + n = 0, 3*o + 5 = a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-75)\/(-3000))\/((-1)\/8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*g - 586 = 0, 284 = 12*m - 11*m - g. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.03 - 0.03. Let j = -17.5 + 16. Let c = j - -1.1. What is the third smallest value in u, c, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfk when three letters picked without replacement from kkfkkkkkkfk.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -35, -40, -27, 10?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 402.2 + -385.1915. Let b = a - 17. What is b rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c**2 - 11*c + 917. Is h(31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1042413498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1319869081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a**3 - 2*a**3 + (-a + 5*a - 27*a)*(-a**2 + 2*a**2 + a**2) + 1 - 1 + 9*a**3.\nAnswer: -38*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2357\/5 + -480. What is the common denominator of (-50)\/60*(-142)\/(-10) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25477327\/3 >= 8492443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/3*(5 - 2). Suppose -5*o + r = -1292, -1744 = 39*o - 46*o - 4*r. Calculate the highest common divisor of o and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21\/782, -498 in increasing order.\nAnswer: -498, -2, 21\/782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3681 - -207.1.\nAnswer: 206.7319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35923 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 6 + -9 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16099 - 492*c + 16099)*(19*c + 21*c - 42*c - 17).\nAnswer: 984*c**2 + 8364*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -172*v + 9*v**2 + 85*v + 96*v + 2 + (-2*v + 0*v + 4*v)*(4*v - 2*v + 0*v).\nAnswer: 13*v**2 + 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m, -7*m = -x - 3*m. Let r = 17 - 12. Suppose r*w + 0*w = x. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 6 + 6. Let s = -5 - -7. Let p(a) = -a**2 - a**2 - 2*a**2 + 2*a**s. Give p(y(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 6*b - 6*b**2 - 60 + 28 + 17. What is the remainder when 83 is divided by v(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, 12, 5.\nAnswer: 3, 5, 12, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/14*(-8)\/3. Solve 0 = 4*c + s, 0 = -4*w - 2*c - 0*c - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**3 - 9*v**2 + 7*v. Let g be y(3). Let j = -168 + g. Solve 19*i - 16*i + j = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 19. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19089261, 19089262, 19089263, 19089264, 19089265?\n\"Answer: q + 19089260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 1136*x**3 - 11008*x**2 + 12864*x + 78912 = 0. What is x?\nAnswer: -2, 6, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/21)\/(76\/(-133))*(-14)\/(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/4 - 1023*t**3\/2 - 8217*t**2\/4 - 2571*t - 1029 = 0. Calculate t.\nAnswer: -2, -1, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 + 1 - 7)*(-3 - (-164)\/54). What is the closest to -7 in 2, -1\/7, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 428 and 365000?\nAnswer: 39055000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9712\/69841 or 1?\nAnswer: -9712\/69841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -39. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-54) + (-748)\/(-108). Let v be (8\/(-20) - (-128)\/20)\/2. Let w be (-27)\/(-12) - v - 4\/16. Put 5, s, w in descending order.\nAnswer: s, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*z + z. Let q be ((-5)\/z)\/(6\/21). Which is the second biggest value? (a) q (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 714*b**2 - 386*b**2 - 328*b**2 + 4*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*g*q**2*w + g*q**2 - 265*g*q*w + 5*q**2*w - 2*q**2 + 82*q wrt g.\nAnswer: -119*q**2*w + q**2 - 265*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u**3 - 262*u**2 + 17*u + 31. Let g(k) = -4*k**3 + 88*k**2 - 6*k - 11. Calculate -17*g(p) - 6*i(p).\nAnswer: 2*p**3 + 76*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ea (base 15) to base 9.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 9 + 19. Suppose 8 - 2 = 2*b. Suppose -5*u = -3*j + 5, 3*j - 4*j = -u - b. Put a, -4, u in decreasing order.\nAnswer: a, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 1\/2*z**3 - 4*z**2 - 10*z + 0. What is the remainder when n(5) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.9997 and 0.03.\nAnswer: -1.9697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*n**2 - 14*n**2 + 7*n**2 as z + v*n + f*n**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 40750*x + 4183920.\nAnswer: 5*(x + 104)*(x + 8046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3369729 by -121.\nAnswer: 27849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.005 and -0.2?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1464585.093 to the nearest one hundred.\nAnswer: -1464600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w + 9 + 51 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 12*b**2 + 15*b - 2. Suppose 3*d = 4*i - 39, d + i + 323 - 310 = 0. Determine q(d).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 1189.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -3*66\/(-9). Let p be 2\/((s\/15)\/4). Suppose 2*w - 33 = -p. What is the lowest common multiple of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 11 + 13)*(86*b - 54*b + 122*b).\nAnswer: 4312*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 5875.495414.\nAnswer: -5876.295414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(343) + -1)*-2.\nAnswer: -14*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 6, 2*k + 0*k - 4*t = 622. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 19, -5, 57?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1)\/6*-2. Let j = -6.7 - -8. Let i = j + -0.9. What is the closest to y in -0.2, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186 - 206 - ((0 - (0 + -2)) + -8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 544*m + 601*m + 291*m + 1165*m as z*m + o and give z.\nAnswer: 2601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m - 41. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3501\/680 - 233\/40. Let o = v - -3\/17. Are o and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/3)\/(2\/(-8)). Suppose -2*h = -d*h + 50. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 21 = -11. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 5, z: 2, b: 6, j: 3, u: 1}. What is prob of sequence zj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149925 is divided by 63870.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:51 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2115148 bigger than -2115136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ophpppo. Give prob of sequence po.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.06 - -0.06. Let f = x - -2. Which is the third smallest value? (a) f (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1078873*f**2 + 690758*f.\nAnswer: -2157746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105 + 45 + 134 - 396 - 259 + 252*n wrt n?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10. Let p(f) = 2141*f - 37. Determine p(h) - 4*r(h).\nAnswer: 2141*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 + d**4\/8 + d**3\/3 - 27*d**2. Let o = 58 - 61. What is j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22*-6*(-3)\/12. Let g = 70 - w. Calculate the remainder when 183 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 5. Let v be a(5). Let c = -102\/19 + -530\/57. Let p = 167\/12 + c. Is v smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 23)*24\/30.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**5\/5 - 14*g**4\/3 + 26*g**3\/3 - 1079*g. Solve h(y) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355 = -239*t - 1035 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by (-3 - 17\/(-3))*462\/88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1 - 3.1. Put -1, t, 9 in descending order.\nAnswer: 9, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 112200?\nAnswer: 112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-6))\/(8\/(128\/(-12)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 28. Let d(x) = x**2 + 2*x + 3. Let n be d(r). Suppose -3*l + 0 = n. Is -1\/36 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33364.\nAnswer: 2, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f - 4 = 0. Solve -f*s = -3*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeefefeefffeefeefff. What is prob of picking 2 e and 2 f?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0*x**2 - 1\/3*x**4 + 7\/6*x**3 - 13*x + 0. Find the second derivative of i(z) wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:19 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-6 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -4*d, -3*d - 5*g = -g - 25. Calculate the least common multiple of d and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18 = r + 15, 5*r - 4*v - 17 = 0. Let f(z) = 2*z**2 - 9*z + 15. Let c be f(4). Let y = -10 + c. Solve r*h + 9 = -4*u - y, -3*u + 6 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00507 to 4 decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10 - 4*p**2 + 10*p**2 + 2*p + 39 + 12*p**2. Let c(d) = 35*d**2 + 5*d + 57. Let u(j) = -2*c(j) + 5*q(j). What is the first derivative of u(o) wrt o?\nAnswer: 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 26*x - 96. Let l be w(4). Let v be l + -4 + 4893\/(-1221). Do 1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992822 is divided by 70781.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-564))\/((-7194)\/1744)?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 193674.976 rounded to the nearest ten?\nAnswer: 193670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*(-21)\/7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**2 - 2*v + 123. Let u(s) = -9 + 5 - 3*s + 3 + 4*s. Determine q(d) - u(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26534, 106885, 240800, 428279?\nAnswer: 669322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, t: 1, u: 1, j: 2, i: 3}. What is prob of sequence ti?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 672, 1345, 2018, 2691?\n\"Answer: 673*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3458020, 3458021, 3458022, 3458023, 3458024, 3458025?\nAnswer: 3458026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -2531960142\nAnswer: -2531960123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120, 998, 2450, 4470, 7052?\n\"Answer: -p**3 + 293*p**2 + 6*p - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 0.1 (c) -1 (d) -251 (e) 1\/5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*q - 12, 0 = 4*b + 4*q - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 + -0.86. Let q = 0.5 + x. What is the biggest value in -2, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.047 - 66. Let n = 135 + -135.007. Let h = n + v. Which is the fourth smallest value? (a) 0.4 (b) -3\/7 (c) h (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/12 and -41\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -4 + -3 + 13. Suppose z*h = 10*h - 6. Suppose -12 = -2*p + 2*y, 0*p + 2*y = -3*p - h. Solve q = -q + p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 5. Let v be u(7). Let y be (-6)\/v + -5 + 2. Let r(g) be the third derivative of -g**5\/60 - 5*g**4\/24 + g**3\/3 + g**2. What is r(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 34 = k - 4*r + 162, -21*k - 102 = -15*k - 3*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365*4\/60 - ((-10)\/6 + 2) and 615.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from nonnnnnnnnnnonnnnnn?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.8. Let h = t + 0.8. Is h at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13*g + 111. Let d = 600 - 608. Let b be l(d). Let h(j) = -j + 6. Let t(v) = -1. Let q(w) = -h(w) - 2*t(w). Calculate q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 + 5*k + 7*k**3 + 5 - 13*k**3 + 0*k**3. Let x(w) = w**3 + w**2 - w - 1. What is -t(o) - 5*x(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -247. Find the second derivative of -892*b**2 - 227*b + 4*b + 1202*b**c wrt b.\nAnswer: 620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x + 380 - 2940 = 261*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45046362 rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77143 + 114540. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-60 - -13 - -12) - -14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 369 = -5*a. Suppose 0 = -4*s + 61 + a. Suppose s*w + 6 = 41*w. Solve 5*c = 4*r - 0*c + 27, -4*c = -w*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b - 1. Let p = -19 + 33. Let f(h) = 2 + 3 + p*h - 5*h + 5*h**2. Let r(l) = -2*f(l) - 9*k(l). Differentiate r(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 217*u**4 - 233*u**4 - 156*u**4 - 335*u**4 + (-2*u**4 + 5*u**4 - 2*u**4)*(1 - 4 + 4).\nAnswer: -506*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 593 - 476. What is the highest common factor of y and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27739 - 420744 = 5677*u for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6296727 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b + 336 = 69*b. Is (0 - b)*(1 + (-8)\/24) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/7 - 24656*t**2 - 3724017530*t\/7 - 22337892300\/7 = 0. Calculate t.\nAnswer: -43145, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 - 15 - 2*c + 3*c**2 + 17 - 3*c**2 to m*c**2 + g*c**3 + v*c + b and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:46 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 9*u - 1. Let q be l(-9). Let w be 4\/((6\/(-39))\/q). Suppose 9 = k - w. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 18. Suppose -2*i = 4, -5*i - 6 = 4*l - 0*l. Calculate the smallest common multiple of l and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n**3 - 2)*(0 + 2 - 1) + 4*n**3 - 7*n + 7*n + 0*n**3 - 2*n**3 - n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 0.03. Let x = l + 0.02. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-11)*1)\/(76\/8778*63).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -681\/70 + 103\/10. Let u be (-4)\/(-6) + (-14)\/(-6). Which is the fourth smallest value? (a) 8 (b) u (c) x (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264 (base 7) to base 15\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77, 400, 1421, 2980, 5071, 7688?\n\"Answer: -j**3 + 278*j**2 - 350*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -262793\/31384 - 6\/3923. Find the common denominator of p and 1\/3176.\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 19 - u + 4.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 17*h + 20. Let o be a(-16). Let z = 0 - -12. Let v be (o - 2)\/(6\/z). Solve j = 6*j + v*c + 27, 2*j - 3*c - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1028671629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0 - 3\/2*s**2 - 2*s - 1\/3*s**3 + 1\/24*s**4. Let r(q) be the first derivative of w(q). What is r(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -38*s - 1\/30*s**6 + 1\/4*s**5 + 0*s**3 + 2 + 0*s**2 + 11\/12*s**4. What is the third derivative of f(c) wrt c?\nAnswer: -24*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f**(-3\/7)*f)*f**4*f*(f\/(f*f**(-1\/3)))\/f)\/((f\/(f**(-1\/4)\/f)*f)\/((f*f*f**(1\/4)\/f*f)\/f)*(f*f**(2\/7))**(-35)) assuming f is positive.\nAnswer: f**(877\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/81111 - -85085443\/324444. Let k = y - 262. Which is the second smallest value? (a) -13.6 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8772 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-4))\/(3\/12). Let p be (-3)\/(-6)*(m - -7). Solve -b + 2 = 2*k - p, 3*b + 2*k - 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07443 - -84.10557. What is g rounded to zero dps?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97\/540 - -5\/108. What is the nearest to 1 in 1\/2, c, -1, -2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 - (80\/(-18))\/2. Suppose 4*o = 3*v + 9, 0 = -v - 1 + x. Suppose o*a - 323 = -4*t, -a - a + 177 = -5*t. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1038?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = -2*z - 3*d - 102, 4*z - 1078 = -5*d. Let g = 264 - z. Let f(k) = -8*k. Calculate f(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320 = 1967*k - 2022*k. Solve 5*y - 3*p + 24 = 2*y, -4*y - k = -3*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36009388.\nAnswer: 2, 9002347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/180?\nAnswer: 7\/180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(300) + 2 + sqrt(300)).\nAnswer: 4 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -24. Suppose 9 = g*z + 3. Suppose 3*f + 2*l - 149 = -z*l, -l = -3*f + 124. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/3 + 7*l**2 + 29*l + 11. Is d(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 991 + -267569\/270. Let d(f) be the third derivative of -1\/36*f**4 + 0*f - 5*f**2 + g*f**5 + 2\/27*f**3 + 0. Find y, given that d(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 174, 209, 258, 327, 422, 549?\n\"Answer: j**3 + j**2 + 25*j + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12815276, 25630534, 38445778, 51261008, 64076224, 76891426?\n\"Answer: -7*y**2 + 12815279*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1802424 and 167\/2703636.\nAnswer: 5407272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (29 - 22) - 3.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 6023570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (247\/2)\/19 - 5. Find a, given that -2*a**2 + g*a**4 - a + 1\/2 + a**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - 3*o**2 + 2*o**2 - 5*o**2 - 5*o**2 + 6*o**2 + (-1 + 5 - 3)*(-2*o + 2*o - 2*o**2) + 500*o**2 + 152*o**2 - 59*o**2.\nAnswer: 585*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-3 - 95\/(-35)). What is the nearest to 0.1 in 0.4, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 4\/(-22) - 105\/(-33). Suppose 3*v + v = -4*y + 52, 3*y + 5*v - 49 = 0. Suppose -y = -p - w*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-86)\/(-12) + (-5)\/30. Suppose -4*g = -p - 9. Suppose s - 12 = -3*o, -g*s + 6*o = 3*o - 48. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 1, d: 10, c: 2}. What is prob of sequence cdjd?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8249955 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 21222?\nAnswer: 21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 + (12 - (-628)\/(-48)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 6. Let g(d) = -16*d + 72. Determine -5*g(m) - 60*q(m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-7) + (-10)\/(-4). What is the closest to u in 5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2075?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2169455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1690)\/(-30))\/(-13)*(-22 + -2). Suppose -n + q + 32 - 8 = 0, 5*n - q - i = 0. Calculate the highest common factor of 25 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2 + 5*c - 63. Let p(l) = 24*l**2 - 14*l + 190. Let a(f) = 5*p(f) + 14*w(f). What is the derivative of a(s) wrt s?\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 7.876. Let j = 0.03 + k. Let m = j - -0.0939826. What is m rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 447, 1062, 2141, 3840, 6315, 9722?\nAnswer: 14217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -143330898 and -0.16.\nAnswer: -143330898.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -30*w + 72. Let l(n) = -3*n**2 + n + 3. Give l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10782859?\nAnswer: 137, 78707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 197 in 1, 0, -431\/2, -2\/15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.2, 2\/11, 2\/7, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))**34)**(-18) assuming s is positive.\nAnswer: s**(-1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*d*t - d - 43*t - 34115 wrt t.\nAnswer: -138*d - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 20 = 3*a, -5*a + 155 - 159 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/10)*r\/(r**2*r))\/(r**1)**(-1\/34) assuming r is positive.\nAnswer: r**(-57\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1656969, 1656974, 1656977, 1656978, 1656977, 1656974, 1656969?\nAnswer: 1656962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 + 19*a - 58. Let i be j(-19). Let w = i + 4546. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123740?\nAnswer: 2, 5, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 86.1 times -200\nAnswer: -17220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21141 - 21143. Sort 1, 0, 5, b, 233 in increasing order.\nAnswer: b, 0, 1, 5, 233","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 2, c: 2, g: 1, a: 6, v: 3}. Give prob of sequence ccvv.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b - 25*b + 309311 - 309311 - 32*b.\nAnswer: -83*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/(5\/(-210)). Let o be 75\/9 + 5 + (-2)\/(-3). Let v be 4\/o + ((-320)\/r)\/2. Solve u = -u - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*i**3 - 13*i**3 + 203*i**3 + (-1 - 2 + 6)*(4*i**2 - 3*i**2 - 2*i**2 + 2*i**3 + (3*i - 4*i - i)*(2*i**2 - 2 + 2)).\nAnswer: 158*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 9*i + 9. What are the prime factors of t(6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33395 is divided by 2780.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-55)\/11 + 155 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aog when three letters picked without replacement from {g: 2, f: 1, o: 1, a: 5, x: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -283 - -581. List the prime factors of o.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 468 - 462. Let q(n) = 0 - n - 9 + 2*n + h. Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 6*z**4 - 2*z**4)*(3*z + 47*z + 42*z).\nAnswer: 92*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zluuuulluyyu. Give prob of picking 1 u and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-3\/5))**(-3\/5)\/((a**(4\/11)\/a)\/(a\/(a**(2\/3)\/a))))**(10\/11) assuming a is positive.\nAnswer: a**(676\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 3*t - 2*t)*(2*t + 2 - 2)*(-4*t + 4*t + 4*t) in the form y*t**2 + v*t**3 + d*t + a and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(21\/5)\/g))**(12\/7))**32 assuming g is positive.\nAnswer: g**(-4224\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-27311633.\nAnswer: 81934899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*(-1 + 14\/6). Let t(f) = 734*f + 3. Is t(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 13*k**2 + 17*k - 17. Let p be u(12). Let i be (1\/3)\/(1\/57). Let t = p - i. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 10:07 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223202121132 - 1?\nAnswer: -2223202121133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/69)\/((-20)\/(-24))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36521384 to the power of 1\/2, to the nearest integer?\nAnswer: 6043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (-117 - -107) - -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o**2 - 4*o + 66283. Let i(m) = 3*m. Determine z(i(s)).\nAnswer: -180*s**2 - 12*s + 66283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 1261\nAnswer: -16\/1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 941 + 2383. Suppose 3*t - l = -c - 2*c, 5*t = -2*c + 1391. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**3\/(r*r*r**(-6)*r))\/((r\/r**(-4))\/(r\/(r\/r**(-5\/3)))))**(1\/2))**48 assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -6 (c) -0.4 (d) 9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let q(m) = 11*m + 1. Let y(c) = -2*j(c) + q(c). Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-20 - -30) - (2 + 17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -358, -346, -334, -322, -310?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**7*y)\/y*y)\/y)\/(y\/((y*y\/y**(9\/5))\/y)*y)*(y**(-1))**(-1\/9))**(-2\/67) assuming y is positive.\nAnswer: y**(782\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*y**4 + 1 + (9 - 5*y - 9)*(-3*y**3 + 0*y**2 + 0*y**2) + 67*y**4 - 23*y**4 + 14*y**4.\nAnswer: 71*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (614 + -634)*(-1)\/(-26)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429\/78 - 147\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let v(h) = 1882945*h - 25. Calculate l(v(u)).\nAnswer: -1882945*u + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -23*y - 3. Let l(w) = 412*w**2 - 2*w. What is l(g(c))?\nAnswer: 217948*c**2 + 56902*c + 3714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + i = -12, 5*i - 6 - 30 = -2*q. Suppose 0 = 7*k - 9*k + q. Suppose 0 = 3*a + 4*h - 47, -k*a + 0*h + 67 = h. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let j = v - 6. Let x(k) = -5*k + 8. What are the prime factors of x(j)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6729 + -0.0271. Are -0.09 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86648 - -86655.9994. Let b = 9 + -1. Let g = b - c. What is g rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 343\/(-28) + 2 - (-85)\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - k)*(k - k + k) + 7*k**2 - 2*k**2 - k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(-22))\/f))\/f)**36 assuming f is positive.\nAnswer: f**792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let i = 3 + -5\/2. Which is the smallest value? (a) 0.2 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -138.8. Sort 1\/2, -5, x, -0.7.\nAnswer: -5, -0.7, x, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d - 5. Let v(b) = -5. Let m(n) = 5*i(n) - 5*v(n). Let z(h) = 5*h. Let s(r) = -3*m(r) - 40*z(r). Let q(j) = j. Determine s(q(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g. Suppose -5*r = -g*r + 30. Let f(h) = -3*h**2 - 7*h - 1. Let p(d) = -13*d**2 - 28*d - 3. Let i(x) = 9*f(x) - 2*p(x). Give i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 25, -3*n + 143258 = -8*f + 143230 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24241*j + 24242*j + 22*v + 90, -3*j + 14 = -5*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16782?\nAnswer: 2, 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 1. Let x = -75 + 47. Let i(q) = -8*q**2 + q - 5. Let w(t) = x*g(t) - 4*i(t). Factor w(a).\nAnswer: 4*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(-12) + 4\/(-12). Let z = 31 - n. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6804*j**2 - 7 - 6814*j**2 + j + 8 in the form b*j**2 + o*j + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.1, -0.1, -6, -14199, -0.4?\nAnswer: -14199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232 times 222?\nAnswer: -495504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.76 - -2.24. What is the fourth smallest value in 0, l, -0.2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -252440\/1199 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 1 - 1)*(2 - 3 + 2)*(-8*p + 6*p - 2*p) to the form h*p**2 + d + g*p and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/14*(-36)\/(-1125)*5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32790\/1601 or -1?\nAnswer: -32790\/1601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 153256.4 kilograms?\nAnswer: 153256400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4. Let j(q) = q - 8. Let d(n) = -3*j(n) + 7*p(n). Let m be ((-15)\/2)\/(15\/(-80)). Let y = 43 - m. Determine d(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378.9 + -379. Let r be -2*(-2)\/(-4) + -5. Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1355 or 1165?\nAnswer: 1355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34849380?\nAnswer: 2, 3, 5, 67, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express (7*x - 2*x + 3*x)*(18 + 95 - 38 + 81) in the form l*x + a and give l.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1, 210, 116, -5 in decreasing order.\nAnswer: 210, 116, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 95495.25l in millilitres?\nAnswer: 95495250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 - 9*s + 8. What is the tens digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -51, -1, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, 2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2674 - 2674. Solve 17*x + 58 - 143 = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 61.999192. What is s rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + (-3 - 0 - 1). Solve -1 = -j, -z*s + j = 4*j + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-21) + ((-495)\/11 - -45)\/(32\/(-4))?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 4. Let d be l(0). Suppose -2 = q - d. Suppose -2*c = 3*c - 3*v - 21, 4*c - 16 = q*v. Solve g = -0*g + c*n - 19, -4 = -4*g - 4*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 + 106. Let g = -1354652\/395 + 6859\/2. Let b = g - -311\/3950. Is b at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148938 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 652, 1460, 2590, 4042, 5816, 7912?\nAnswer: 10330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65 - (-2)\/((-6)\/3). Suppose 2*m + 34 = 3*r, r - d = -4*r - 4*m. Calculate the lowest common multiple of 36\/42*(2 + r) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 5*w + 100.\nAnswer: -5*(w - 5)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430940353?\nAnswer: 109, 31476517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141482, -282975, -424468, -565961, -707454, -848947?\nAnswer: -990440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4.91. Let v = 15 - -3. Suppose -3*d = -g, 2*d + d + 5*g - v = 0. Which is bigger: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7637241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -9807*k + 9808*k + 18, -18 = -4*k + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - i - i)*(5 - 3 - 4 + (-95 + 53 + 52)*(1 + 2 - 1)) in the form k*i + y and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41396 at least as big as 41362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p - 3710 - 3710 + 11128 - 3708.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((133*q - 258*q + 101*q)*(7*q**2 + 5*q**2 - q**2) + 0*q - 2*q**3 + 0*q)*(q**2 - 2*q**2 + 3*q**2).\nAnswer: -532*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) -0.02 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -30. What is the remainder when w is divided by 2*(-6)\/((-60)\/35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -20. Let g(j) = -j**3 + 6*j**2 + 8*j + 2. Let o be g(7). Suppose 5*q - o = w. What is the greatest common factor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (512\/(-384))\/((-1)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 5)\/((-1)\/(-17)). Suppose 6*t + 583 = w*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(18)\/(sqrt(6)*4 + sqrt(6)) + (1*sqrt(12)*-1)**2.\nAnswer: sqrt(3)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20872, 41740, 62610, 83482, 104356?\n\"Answer: f**2 + 20865*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822115887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - 30\/(-4). Suppose -j = 5*l - 73. Let k(x) = -2*x + 38. What is the remainder when k(0) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(120\/(-9))\/10. Let y(j) = -j**3 + 3*j**2 + 8*j + 5. Calculate y(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + l + 0*l + (l + 1 - 1)*(-1 - 3 + 6) to q + j*l and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 24*h - 9463 - 9460 + 20*h + 28375 - 9460. Let m(n) = -45*n + 9. What is -7*c(i) - 6*m(i)?\nAnswer: -38*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.49, 1327702, 4 in decreasing order.\nAnswer: 1327702, 4, 0.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 8\/5 (b) -18 (c) -1 (d) -6 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*2 - (((sqrt(88)*-2 - sqrt(88)) + sqrt(88) - sqrt(88))*-4 + sqrt(88) - sqrt(88)))\/((sqrt(40) + (sqrt(240)\/sqrt(150) - sqrt(40)))\/sqrt(5)).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76474 by 38237.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*b + 20*b + 2 + 11*b)*(b**4 + 3*b**4 - 2*b**4).\nAnswer: -22*b**5 + 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.061 + -0.07. Let t = -0.009 - p. What is the smallest value in -0.4, 1, -0.06, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - 2*v**2 - v + 7. Let g be d(-3). Suppose -s + 98 = 2*f, g*f = -0 - 8. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4\/2 + 880*g**3 + 116160*g**2 + 6814720*g + 149923840.\nAnswer: 5*(g + 88)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14680 + -14688. Sort 4, -12, -4, 5, b in increasing order.\nAnswer: -12, b, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*b - 82466 = -57938 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 3*o)*(-148 + 177 + 56)*(-2 - 1 + 4).\nAnswer: -255*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.6. Let f = -0.4 - h. Let a = -0.257 + 0.157. What is the closest to a in -3, -2\/15, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -15. Calculate the remainder when x\/(69\/33 - 2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 1. Let h be d(-4). Let t = -223 + 238. Let w(s) = -3*s**3 + 45*s**2 + 1. Let o be w(t). Solve -h*j - 14 = o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*u + 24*g - 22*g, -g + 5*g = 4*u + 3*g - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 4*q - 20 + 22. Determine m(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-2)\/(-2) + 1. Let n = 798 + -798. Suppose -p = -3*p - i + 93, n = x*p + 3*i - 232. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(304) + (6*(sqrt(19) - sqrt(76)))**2.\nAnswer: 24*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 582*z + 8950. Calculate k(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 312 = -3*k, -5*f + 122*k - 62*k - 57*k + 48 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1076402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-13 + 7 - -16) - -16) + -25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2358 by -6.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76)*2 + sqrt(76))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-3)\/(-1)*(-13)\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 671814 and 14.\nAnswer: 4702698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/2473395 and -67\/4.\nAnswer: 9893580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 19. Suppose 3*b - 4 - t = 0. Let w be (7 - 4) + (b - -3). Solve -2*d = 4 - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 836\/(-1368) + 2\/12?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*15\/(-30)*(-8)\/30?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741845901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m*s**3 - 484694*m*s**2 - 31*m*v - 2*m + 2652470*s**3*v**3 - 10*s**3 - 2*s - 2 wrt v?\nAnswer: -31*m + 7957410*s**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 2*a**2 - a - 1. Let m be u(-2). Suppose -2*y + m = -g, -4*g + 0*y - 5*y - 30 = 0. Let l(x) = x**3 + 5*x**2 - 2*x - 1. Give l(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 10984\nAnswer: 10989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -121738 and -4792558.\nAnswer: -4914296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 13\/6*r**6 + 0*r**2 + 0*r**4 + r - 7\/3*r**3 + 0*r**5 + 66. What is the third derivative of w(k) wrt k?\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l - 36. Let f be k(-16). Let y(h) = -h**3 + h**2 + 7*h - 6. Let a be y(4). Let r = a + 46. Calculate the highest common divisor of f and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -21397619.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((6\/(-2))\/9)\/(80\/48). Which is the closest to 1\/3? (a) -0.4 (b) p (c) 1\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/180 - m**5\/30 + m**4\/36 + m**3\/3 - 12*m**2. Factor d(o).\nAnswer: -2*(o - 1)*(o + 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {f: 5, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 30 - 1)*(0*r**4 - r**2 + 0*r**4 - 2*r**5).\nAnswer: 78*r**5 + 39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -32*m**4 - 12*m**3 + 95*m**2 + 4*m + 4. Let o(v) = v**3 - 3*v**2 + v + 1. Let q(n) = g(n) - 4*o(n). Find the third derivative of q(r) wrt r.\nAnswer: -768*r - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217\/180 + 2\/45. Let f = -2.9218 - -2.5218. Which is the fourth smallest value? (a) x (b) f (c) -1\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine halves of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-108)\/45 - 10)*3*-5. Calculate the remainder when 371 is divided by (1*(-7)\/21*p)\/(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153.01269 - -0.01731. Let c = n - 154. Let q = 0.03 - c. Is q equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p**3 - 421*p**2 + 2001*p + 71263. Give q(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/30 + 11*j**4\/24 - 93*j**2 - 14. Calculate z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/17664 and 27\/9303040.\nAnswer: 27909120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*4 - (sqrt(18) + (sqrt(126)*-2 - sqrt(126))\/sqrt(7)))\/((sqrt(6) + sqrt(150)*-3 - sqrt(6))*-5).\nAnswer: 2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1994 - 3987 + 1993 + 13177*s to g + k*s and give k.\nAnswer: 13177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 6, 4, -35, -5 in decreasing order.\nAnswer: 10, 6, 4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/15, -0.8, 12?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 + 112.3. Is r < 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 - 7*r + 3. Let t be v(-9). Let i be t\/(-6) - (-1)\/2. Suppose 3 = i*m - 3. What is the smallest common multiple of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278318 and 372?\nAnswer: 1669908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(0 + 2) - (17 + -20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3951*w + 90883. Calculate x(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47648251877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10827*l**2 - 20956*l**2 + 1 + 10132*l**2.\nAnswer: 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k - 4*r + 38, 15 = 5*k - 3*r. Calculate the remainder when 43 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1214)\/(-4))\/(7\/14) is divided by 123.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.04 - -0.04. Let b = 0.26 + -0.16. Put c, 9, b in ascending order.\nAnswer: c, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1471 - 0.05467329\nAnswer: -1.20177329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 82.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:19 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-150)*30\/7?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 0\/(-4 - -1). Suppose -u + 5 = 2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -363629 <= -363824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 2*d - 6. Let s be x(5). Suppose -5 = -2*w - 4*n - 23, 0 = -w + 3*n + 16. What is the highest common factor of w and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 1. Let b(g) = g**2 - 9*g + 10. Let s(r) = -b(r) - 6*v(r). Let j be s(3). Let a(n) = 3*n + 6. Give a(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 12*y + 9. Suppose -5*k = j - 1470, -5*k - 2*j = y*j - 1470. Round k to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o, -2*o = 56*y - 58*y. Which is the closest to -2\/29? (a) 0.4 (b) -5 (c) y (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*h = 4*k + 1605, h - 967 = 3*k. Let g = -1624\/5 - k. Which is the closest to -0.13? (a) g (b) 3 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 782*j**2 + j - 224. Is m(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -47*q + 6. Let l be j(-2). Let b = -90 + l. What is the third derivative of b*i**2 + 6*i**3 - 16*i**3 + i**2 - 2*i**3 wrt i?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1161962734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710175 is divided by 1453?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2029*d**2 + 18326*d - 146. What is c(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (0 - 108\/4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a3 (base 14) to base 12\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -586494, -1172983, -1759470, -2345955, -2932438?\n\"Answer: i**2 - 586492*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 65 = -76*k - 400 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803677 is divided by 363?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - c**3 + 11*c**2 + 0*c**3 - 6*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5167 times -0.779\nAnswer: -4025.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-12) - 93\/(-9). Let o(q) = -q**2 + 10*q + 16. Let k be o(r). Let t = -1 + -1. Which is the smallest value? (a) 7\/2 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 16*x + 136. Give l(-11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 63 - 30. Calculate the highest common factor of t and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 (base 10) to base 16\nAnswer: -19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 46*h + 424. Let a be z(-10). Is a at most as big as -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122312003 (base 4) in base 9?\nAnswer: 176742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2380623.376 take away -285?\nAnswer: -2380338.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y = -f - 51*y, 8*f - 7*f + 4*y - 28 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*3*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2, -4 + 1 = -v + 4*m. Let r be (-23 + 5 + v)*(0 + -1). Suppose -23*u - 16 = -r*u. Let l(z) = -z**3 - 4*z**2 - z - 3. What is l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwrrwrgrqpwgwwrq. What is prob of sequence pg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43646 + 2?\nAnswer: 43651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 6*t**2 - 2*t - 12. Let c be f(-6). Suppose c = -3*k - 6 + 27. Calculate the greatest common divisor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -82, -126?\n\"Answer: -44*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 22*l - 21114. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 4*z**3\/3 + 5*z**2\/2 - z - 51. Let k(t) = 4*t + 2. What is 3*h(g) - 7*k(g)?\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111.861ug in tonnes?\nAnswer: 0.000000002111861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.048 or 2\/7?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169\/815 - -109\/7335. Factor -2\/9*t + h*t**2 - 4\/9.\nAnswer: 2*(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*s + 640 = -157*s. Solve s = 51*w - 83*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 - 2*d**2 - 2*d + 2. Determine k(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.15 + -8. Let i = -198 + 193.85. Let k = i + w. What is the smallest value in 2, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z**(-1\/7))\/((z\/z**(-4))\/z**(2\/9)) assuming z is positive.\nAnswer: z**(-481\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 434*l\/9 + 980\/3.\nAnswer: 2*(l + 7)*(l + 210)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15686754 to the power of 1\/2, to the nearest integer?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 135.5172961 and 29?\nAnswer: 106.5172961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:33 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26833201, 26833197, 26833191, 26833183?\n\"Answer: -r**2 - r + 26833203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by -2 + -1 - -3*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from {v: 2, t: 4, q: 1, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 1.9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521 - 2*a**2 + 2*a**2 - 27522*a**3 + 521.\nAnswer: -27522*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -769.1? (a) -6 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9222480 to the nearest one hundred thousand.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 134865.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from bzybzbcabaambamyyb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or 10?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37934889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3)*(1 - -2). Let l(o) = -65*o + 1. Let b be l(-4). Suppose 5*k = 3*v - 849 + b, -w*v = 3*k - 564. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34c886 (base 16) to base 6\nAnswer: -202050502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 391 (base 14) to base 15\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrlq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*s - 3*q - 4, 0 = -5*q. Suppose -121 = -s*b + 9*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/5083 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -397*u + 1522. Let d be x(4). Suppose -i + 18 = 84. Do d and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 17*t**2 + 18*t - 147. Calculate the remainder when w(11) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00677 to four dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*n + 30 + 93, -3*a + 3*n = -183. Calculate the smallest common multiple of a and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:31 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -9. Let v(j) = -j**2 + 4. What is the lowest common multiple of i and v(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 3, i: 6, p: 5, g: 2}. Give prob of sequence qid.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 100011101?\nAnswer: -100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyoyooyy. What is prob of sequence yoo?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406744288.\nAnswer: 2, 12710759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**4 + 567*v**3 + 285*v**2 + 18028903*v wrt v.\nAnswer: 24*v**2 + 3402*v + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2307*r + 78340 = 20665 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3789 and 0.07.\nAnswer: 3789.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let z(i) = -2*i**2 - 11*i + 14. Let r(c) = c**2 + 4*c - 5. Let l(u) = 17*r(u) + 6*z(u). List the prime factors of l(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*h - 24 = 0, -5*f = -2*h + 595 - 573. Suppose p = -2*b - 0*b + 1, 3*b + 1 = -4*p. What is the third biggest value in f, 0.2, 0.63, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 - (2 + -7) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2490 + 13123 = 5*z, 5*z + 5*m - 15615 = 0. Suppose -4*r - 3707 = -4*w + 2593, 0 = -2*w - 5*r + z. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 103 + 241*o.\nAnswer: 241*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-320) + -9 + (-651)\/(-70). Which is the nearest to 12? (a) i (b) -1.7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1826.91 and 0.4?\nAnswer: 1827.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144 + -142. What is the closest to 0 in -0.4, 1, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/3 - 5*h. Let j(m) = -5*m**2. Give j(y(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -19*n + 28 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 540 = 26*w. Calculate the highest common factor of w and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 7*a - 7*a - 8*a + 2*a**3 + a**4 + 8*a + (-3 + 3 + 2*a**3)*(-4*a + 3*a + 0*a).\nAnswer: -3*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-20)\/(-16))\/((-3)\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430186 is divided by 43017.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36652.28 weeks in hours?\nAnswer: 6157583.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -12*s + 6066. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 3*z**2 - z - 1. Let i(n) = 2196*n**3 + 30*n**2 - 10*n - 10. What is i(x) - 10*m(x)?\nAnswer: 2176*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*y - 249 = -29*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -5. Let b be 4\/(-1)*5\/z. Solve -15 = -b*k + 5*s, k + 5*s - 15 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opx when three letters picked without replacement from {o: 5, x: 3, j: 1, e: 5, p: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/3 + 4*3\/4. Suppose p = -5*y - g, -6*y + 5*p - 20 = -y. Let d(h) = -148*h - 5. List the prime factors of d(y).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29676, 29688, 29700, 29712?\nAnswer: 29724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 + 407?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {s: 3, k: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10057 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*x = 8*x - 2, 28 = 2*k + 4*x. Solve -5*f + 10 = -3*q, 0 = 2*q + 7*f - k*f + 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 27536143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.027 - -0.027. Let x be 243\/63 - 4\/(-28). Put 2\/3, x, 2\/9, m in increasing order.\nAnswer: m, 2\/9, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 2\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1990, -7061, -15214, -26449?\n\"Answer: -1541*w**2 - 448*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 651 and 205437.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/3*c**3 + 0*c**2 + 10*c - 2 + 19\/4*c**4. What is the second derivative of a(w) wrt w?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 132 = -468. Suppose -q = -5*w + f, -3*w - 8 = -5*w + 2*q. Suppose i - 2*i = -5*l + 25, 15 = 2*i + 3*l. Sort w, -2, i, -1 in ascending order.\nAnswer: -2, -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 16\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = -2. Suppose b - 6*b + f*u + 135 = 0, -4*b = -5*u - 111. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -138*o + 8. What is h(-1)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111*((-8)\/(-20))\/((-9)\/(-75)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + u - 3178, -u = -3*i + 6*i - 4769. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20 and 107\/36 + (10 - 11).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*m + 1632, -9*b + 5*b - m = -3264. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 77 = -4*z - 199, -3*z + 3*p = 207. Suppose 911 = -8*s + 15. Let h = z - s. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 11. Let d(l) = -l - 4. Suppose 0 = -0*o - 3*o + n + 45, 30 = 2*o + 5*n. Suppose -o = -c - 16, -16 = -2*h + 2*c. Determine h*d(b) - 2*k(b).\nAnswer: -b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16158.02 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374859?\nAnswer: 3, 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*v - 31 + 263 = 0, -2*n + 4*v = -156. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -25*t - 878. Let j be w(-45). What is the greatest common divisor of 52 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 16) to base 8.\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182688 by -8304.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11929 - -11932. Let b(p) be the third derivative of 1\/40*p**6 + 11\/15*p**5 + 0*p + 49\/3*p**w + 7*p**2 + 0 + 175\/24*p**4. Solve b(f) = 0 for f.\nAnswer: -7, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -217, -326, -435, -544, -653?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 4, 0.2 in descending order.\nAnswer: 4, 3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 834\/(-54) - (5 + (-294)\/54)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 30. Let y(h) = h - 1. Give d(w) + 2*y(w).\nAnswer: w + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8015 decades in years?\nAnswer: 148.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 46\/50)*(-14)\/((-182)\/(-65)). Find h such that -o*h - 2\/5*h**3 - 4\/5*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/61 + 113\/183. Suppose -2\/9*j**4 + 2\/9*j + 0 + l*j**3 - 2\/3*j**2 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/7)*q))**(-20)*q**(4\/13)\/(q\/q**(-4)) assuming q is positive.\nAnswer: q**(93\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 + 0.46. What is the biggest value in 5, i, 1, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 13, o: 6}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 9 + (3 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*b - 96, 2*b - 5*j + 1 = 21. Let v(x) = x**2 + 13*x - 148. Does 53 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4812 is divided by 344?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:30 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4 + 4)*(38 - 14 + 1).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56586 is divided by 1507.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2555 and 875?\nAnswer: 63875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - u + 1 = 0, 5*v + 2*u - 2 = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 11*m + 1. Let f(z) be the first derivative of -4*z**3\/3 - 6*z**2 + 30. Let o(g) = 4*f(g) - 5*u(g). Suppose 4*h - 11 = 5. Calculate o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147))**2 + 3 + -3*-3*sqrt(147).\nAnswer: 63*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 150389*g + 19. Let z be u(12). Let h = 14687 - z. What is h rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w + 2*w - w + w - 2*w + (-2*w + 0*w + 3*w)*(-1 + 1 - 1))*(-2 - 1 + 5).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11\/p**(1\/5)*(p\/((p*p*(p\/(p\/(p\/p**(-6))))\/p*p)\/p))**(8\/7) assuming p is positive.\nAnswer: p**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 16*l, 4*u + l + 4*l + 3*l - 4*l = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46469, 92721, 138969, 185213, 231453, 277689, 323921?\n\"Answer: -2*a**2 + 46258*a + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17)*-3 - sqrt(1700)*1 - -2*(sqrt(68) + sqrt(68) + 0 + -5))**2.\nAnswer: 160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*k - 10 + 1, 5*a = -k - 24. Suppose -6*y + 5 = -5*y. Let f = y + a. Solve 0 = -4*m - 8*s + 3*s, 4*s = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 8. Let j be c(7). Let z(f) = f**3 + f**2 + f - 1. Let l(y) = -5*y**3 - y**2 - y + 9. Let i(q) = j*z(q) + l(q). Determine i(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + 3 - -16) - (-11 + 8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9282 and 1221.221?\nAnswer: 10503.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 79*j + 3182. Let l be g(-40). Solve 0 = 2*n + m + 9, 0 = 19*n - l*n - 2*m - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2123320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21912 - -7?\nAnswer: 21919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8132 - 4082. Round z to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 67*w - 422. Let p be z(7). Calculate the greatest common divisor of p and 7661.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4 (b) -0.5 (c) 0.2 (d) -1\/6 (e) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -165, 125, 3 in decreasing order.\nAnswer: 125, 3, 1, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000350067 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (560\/1176)\/(155*1\/14)*(-9)\/2.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18216? (a) -4 (b) 4 (c) -12 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 44*x - 6. Is q(4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 3. Let o = -9 - -7. Let b be m(o). Let j = -3 + b. Is 0.3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22905482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4 + 6. Let g = v + 3. Find u such that u**4 - 2*u**3 + 4*u - g - u**3 + 1 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 - (7 + -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:33 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 - -237. Let z = -17 + -15. Let h be z\/(-6) - 4\/(-6). Calculate the greatest common divisor of c and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2343973541 - 2\nAnswer: 2343973539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 2, n: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 15a706?\nAnswer: 15a71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3122 times 0.3\nAnswer: 936.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14090458628*b - 7*b**2 + 14090458628*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 2*u**4 + 5*u**4 + (-2*u**2 + 4*u**2 + 0*u**2)*(-u**2 + 4*u**2 - 4*u**2) + (2 + 0 - 1)*(3*u**4 - 121*u**2 - 6*u + 121*u**2).\nAnswer: 2*u**4 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120969885.\nAnswer: 3, 5, 41, 196699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -57. Let i(s) = -2*s + 2. Let x be i(8). What is the tens digit of 26\/t*(x + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21996\/(-752)*2\/(-13)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + 15*g + 40. Let l = -234 - -224. Calculate the remainder when u(l) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000303561 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, x: 2, e: 1, f: 1}. What is prob of sequence bf?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/4 + 7*x**3 + 25*x**2\/2 - 13*x - 140. Suppose -2*d + 26 + 18 = 0. List the prime factors of y(d).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 497*p + 1643. What is the tens digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(1 + sqrt(117)*1 + 0) + 1)**2.\nAnswer: 432*sqrt(13) + 7569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40\/247 - (-1752)\/(-5548)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51070*s**3 + 281185 wrt s?\nAnswer: 153210*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 348\/40)\/((-964)\/(-1928))?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 - 5*l**2 + 5*l + 4. Let r(i) = 2*i**3 + 4*i**2 - 4*i - 3. Let x(b) = -5*f(b) - 6*r(b). Is 18 a factor of x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8232 is divided by 4111?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129200 and 21080.\nAnswer: 4005200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(12\/5)*r)\/((r\/(((r\/r**(-3))\/r)\/r)*r)\/r*r)*r**6\/(r*r*((r**(4\/3)\/r*r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -45 + 24 + 22. Let o(p) = -p - 2. Let c(m) = 3*o(m) + 6*u(m). Let l(b) = 5*b. Let f(w) = -14*w. Let i(j) = -3*f(j) - 8*l(j). Calculate i(c(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -45*z + 99. What is x(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*v**2*w - 8*p*w + 2*p + 4*v**2 - 2*w wrt v.\nAnswer: -2*p*v*w + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34785063.\nAnswer: 3, 3865007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16456.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -842 + 2?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5038212?\nAnswer: 2, 3, 47, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 7)*(-2)\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:30 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -m, -3*m + 36*t = 37*t - 10. Let j = -23 + 37. Put j, 3, m in descending order.\nAnswer: j, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 - 2*w**3 + 0*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/1313829 and 83\/57123?\nAnswer: 1313829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194714 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -154*g**3 - 63*g + 63. Let u(n) be the third derivative of -n**6\/24 - n**4\/12 + n**3\/3 + 20*n**2 + 4*n. Determine 4*f(t) - 126*u(t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9200?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1383*g - 16582. Calculate k(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 8. Let y be q(-6). Suppose 3*u + u = -y. Let m = -1 - u. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10031 (base 4) to base 9\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2 - 34637*g - 276585. Give f(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -152482, -5, -3, -3\/4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**7\/2520 + r**6\/360 - r**5\/120 + r**4\/4 + 4*r. Let m(l) be the third derivative of a(l). Suppose m(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -336.2 - 96.8. Let o = 432.85 + s. Which is the second smallest value? (a) -5 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6999031.\nAnswer: 13, 37, 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p - 9 + 8 - 15 - 7. Let f be z(-4). Which is the closest to 0? (a) -1\/4 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -393*o**3 + o**2 - o - 3. Let t = 114 - 115. List the prime factors of z(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 1020*u + 86700.\nAnswer: 3*(u - 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x, -3*q - 3*x + 3528 = 0. Suppose 0 = 4*b + 10*b - q. What is the highest common divisor of b and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 36199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 624593617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/196 - 293\/196. What is the nearest to 0 in -1\/5, 5, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*31\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1514*x - 1514*x - 40*x**2 - 230*x**2 in the form h*x + y + b*x**2 and give b.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*-0.6.\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 21*p. Let z(f) = -65*f. Let h(u) = 7*k(u) + 2*z(u). Let w(y) = -7*y**2. Determine w(h(a)).\nAnswer: -2023*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -549, -574, -603, -636?\n\"Answer: -2*f**2 - 19*f - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 10*q = 3*g - 2886, -10*g = q - 1034. Calculate the least common multiple of 2 and q.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1160\/30 - 38)\/((4\/3)\/2). Sort 14, -2, -0.4, o in descending order.\nAnswer: 14, o, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.729361 meters in nanometers?\nAnswer: 4729361000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -245*b - 204*b + 2 + 350*b + 1 - 1 + 2*b - 2 + 2*b + 2 + (-2 + 3 + 1)*(-4*b + 2*b + 4*b) + 3*b + b - 2*b.\nAnswer: -89*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 12) to base 10.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -1428*l + 1415*l - 108 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 418\/3 - 139. Let k = 4507\/1440 + -3\/160. Sort k, v, -0.4 in decreasing order.\nAnswer: k, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 2. Let t = 21 + -19. Let g be m(t). Suppose 5*u - u = -2*q + 74, 3*u - 15 = g. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90482310 and 9048231.\nAnswer: 90482310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4976937744 divided by 3\nAnswer: 1658979248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**3 - 3*c**2 + 16*c - 3. Let q(n) = 11*n**3 - 4*n**2 + 17*n - 4. Let o(y) = 4*m(y) - 3*q(y). Find the second derivative of o(s) wrt s.\nAnswer: 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 44*s**2 - 11*s - 8. Let b be x(22). Let r = b - 13329. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*14*142\/(-2485)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/120 - m**5\/12 + m**4\/24 - 5*m**3\/6 - m**2. Let o be 24\/(-9)*(1 - -2). Let c be 4 + -1 - o\/4. Calculate h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -27, 37, 1\/5, -5, -11 in ascending order.\nAnswer: -27, -11, -8, -5, 1\/5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*h - 815 - 3190 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/150*9\/(36\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4021 in 5, 2\/5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 8*u + 4. Let v be f(8). What is the second derivative of -v*r - 2*r**2 + 0*r**2 + 9*r - 2*r**2 wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(729))**2*-6 + -1.\nAnswer: -53\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 2*v - 1 - 2*v + (12 + 47 - 8)*(-3*v - 2*v + 6*v).\nAnswer: 52*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145720315 to the power of 1\/2, to the nearest integer?\nAnswer: 33848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 702295033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-973 + 1212 + 603 + 1065)*(-5*t**5 + 0*t**5 + 2*t**5).\nAnswer: -5721*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 + -227. What is the fourth smallest value in 5, 2, -40, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 - 6. Let h = -12 - -8. What is the nearest to -1\/4 in 1, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 11116210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -92*j + 1072. What is the tens digit of h(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10136 (base 7) to base 16\nAnswer: -9ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 0*p - p)*(0 + 1 - 2)*(1 - 26 - 11)*(4 - 4 - 7*p - 4 - 4*p + 4 + (2*p + 0*p - p)*(-1 - 4 + 3)) to the form o*p + z*p**2 + i and give z.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2185 + 5*r - 92*r**2 + 2179 - 6543 + r**4 + 2178 in the form s*r**2 + w + g*r + x*r**4 + t*r**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 25*z + 17506 - 8752 + 260*z - 8754 - 282*z**2.\nAnswer: -3*z*(z - 1)*(z + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7486)\/(-171) + (-2)\/(-9). Suppose -55 = -2*v - 5*c, 4*v + a = -c + 181. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 89 = 2*x, 3*x + 5*n - 41 = 2*x. Suppose -5*w - 3*p = -5 - x, -p + 21 = 2*w. Let q be (108\/(-45))\/(24\/(-20)). Solve -2 + w = -q*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 o when four letters picked without replacement from ogogo?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8805499622 to 2 decimal places.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 4981686*z + 8*z**3 - 3*z**3 + 4981686*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 31, 3, 5 in descending order.\nAnswer: 31, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pscsrcssrp. What is prob of picking 1 r and 1 c?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -367\/8 - -46. Let v = 7 + -9. Let p = 0.22 - -0.08. Sort s, v, p in decreasing order.\nAnswer: p, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-77)*-7)\/(3\/(-54))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/3 + 86*x**4\/3 - 2057*x**3\/3 + 15028*x**2\/3 = 0.\nAnswer: 0, 17, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 12:54 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010094 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srs when three letters picked without replacement from grscgrssgs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13741, 13725, 13709?\nAnswer: 13693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 30*q - 24. Let h = -18329 + 18314. Determine b(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 + c - 1. Let y(b) = -2*b**4 + 4*b**2 - 12*b + 10. Let s(x) = 6*m(x) + y(x). Factor s(g).\nAnswer: -2*(g - 2)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 35 = -2*l, -3*l + 25 = 2*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d8 + -dc?\nAnswer: -14d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(sqrt(153) - (sqrt(153) + (-2*sqrt(153) - sqrt(153)))))**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/10 - (-2)\/10. Suppose y + r*y = -340. What is the tens digit of (-2)\/(212\/y - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10) + -3 + 472\/180.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/3)\/(-4) + -2. Calculate the common denominator of x\/(-2) + (-194)\/16 and (93\/12 + 0)\/(-5 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61\/3 or 2.1?\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156352.\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -152. Solve -u - q = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 58, -385, -1012, -1823, -2818?\nAnswer: -3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -7*o**2\/2 - 6*o + 769. Let j(f) = f + 1. Determine -d(z) - 3*j(z).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7101418 by -62.\nAnswer: 114539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruug when four letters picked without replacement from rguubqqqbugbqogog?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-28*x + 11*x + 10*x) + 0 + 2 - 1 - 2*x + 0*x + 0*x - 7*x.\nAnswer: 19*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -1 + sqrt(171))**2 + -2)*3 + 1.\nAnswer: -36*sqrt(19) + 2050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -46193*l + 138588. Let y be n(3). Factor y + 1\/2*i**2 - 11\/2*i.\nAnswer: (i - 9)*(i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-6)\/18 + (-26)\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51425981 - 51425981 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9859 in 6, 0.4, -1\/3, -2, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + u**2 - 3*u - 1. What is the thousands digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 72. What is the nearest to -2\/9 in -1\/8, 3\/2, c?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 7. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3673*k - 3669*k - 6336 = 0. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.4, -12 in increasing order.\nAnswer: -12, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(80\/(96960\/(-12019)))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (3 - (-406)\/330). Let d = m - 1\/33. Let t = 0.01 + 2.99. Which is the nearest to -1? (a) t (b) -6\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4 - 20. Let z = g + -3. Suppose -z*l = -2*x - 2, -3*x = -3 - 3. Solve -4*c + 16 = l*v - v, -4*c + 16 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 10*r**2 - 35*r + 269. Calculate the remainder when 157 is divided by x(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -65. Suppose 7*l = a*l + 70. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*i**3 - 11*i**3 - 3*i**3)*(5 - 1 - 6)*((1 - 2 - 4)*(i + 0*i + 0*i) + 0*i - 4*i + 2*i) to the form k*i**2 + g*i**3 + n*i**4 + r*i + q and give n.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * -1.3.\nAnswer: -0.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*p - 11, 3*p + 13 = -0*f + 5*f. Let d = -9 + 10. Let g(n) = n**2 - n - 1 + 3 - d. Let t(k) = 4*k**2 - 5*k + 4. What is f*g(s) - t(s)?\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*k**3 - 2)*(1 + 68 - 8 + 64).\nAnswer: -250*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 75 (b) -2\/5 (c) -5 (d) 1\/6 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 61558*f**2 - 7*f. Is 26 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 - 2*j - 4. Let c be p(-3). Solve 4 - 12 = c*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (8 + 2 - 5) + -29 + 29\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 5) in base 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 16*g - 825 - 3*g**2 - 2*g**2 + g**2 + 816. Let z(n) = 2*n**2 - 8*n + 4. Calculate -4*s(t) - 9*z(t).\nAnswer: -2*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4\/3 + 30290*m**3\/3 + 28130194*m**2\/3 - 28221074*m\/3 - 18773660 = 0?\nAnswer: -14151, -995, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.379+-0.04\nAnswer: -0.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*-6 - 49. Let w be 1\/5 + j\/5. Let r = w + 5. Let o(l) = -l**2 - 3*l - 4. Give o(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 423*g - 214*g - 215*g + 4. Let v = 11 + -7. Calculate w(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -231 + 6\/(-3) + 2. Let k = 548 + i. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8 - (-6 - (-25 - -74))) + -3 + -5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109061?\nAnswer: 191, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -43, -38, -33, -28, -23?\n\"Answer: 5*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 2*c + 5\/6*c**4 + 0 + 1\/20*c**5 + 3\/2*c**2 + 2*c**3. Is b(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083140 divided by 155?\nAnswer: 6988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 9*t - 6*t + t**2 - 3*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 20. Let v(k) = -k - 1. Let y(d) = -1. Let a(g) = v(g) - 6*y(g). What is the units digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 332?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2211 + 2208. What is the closest to 2\/45 in y, 5\/6, 2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247744 = -2575*a - 58249 + 20168 for a.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a**4 - 7056*a**3 + 17506*a**2 - 14406*a + 3924 = 0. Calculate a.\nAnswer: 3\/4, 1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1670 + 235*d**2 + 280*d**2 - 1666 to n + m*d + i*d**2 and give i.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 254167*o - 420 = 254170*o, 0 = o + 5 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120*19\/10640*(-203)\/6\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -105, 1, -4, -7, -6 in increasing order.\nAnswer: -105, -7, -6, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 59.96. What is the nearest to 4 in -5, k, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -12. Let r be (-26)\/(-39)*(-3)\/c. Suppose 0 = r*u + 2*f + 4, 2*u - 5*f = 9 + 1. Solve -s + 4*i + 6 = 0, u = -5*i - 1 - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1386)\/1540 + 2\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -2*h, -5*h - 5*x = -x + 24. Is ((-962)\/h)\/((-9)\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20601832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b88 (base 14) in base 12?\nAnswer: aa18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let y = 0.85 + -0.45. Which is the closest to 1\/4? (a) v (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + -108. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 10. Let o be h(13). Let f be 3 - 0*(-1)\/o. Let v(j) be the third derivative of j**6\/60 - j**5\/15 + j**4\/24 + j**3\/3 - 13*j**2. What is v(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - -27 - (-20 + -13 - -17)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/27*(-22)\/(-77)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-18)*(-32)\/6. Let w = 45 - 33. What is the greatest common divisor of l and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 625996\nAnswer: 1\/625996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 15. Suppose -3 = 3*w, -g + 4*w - 52 = -o*g. Let 2*z**2 + 8*z + z - g*z**2 + 11*z - 8 = 0. What is z?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3418 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15093660 by -3018732.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -666102?\nAnswer: -666131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/7)\/1 + (-384)\/(-224). Suppose 0 = 17*l - 15 - v. What is the closest to 0 in l, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, b: 4, r: 1, k: 1, e: 4}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(sqrt(3) + 1)**2.\nAnswer: -16 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 16 = -5*z, 205*p + 13 = 2*z + 202*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -62\/5, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22238716.\nAnswer: 2, 127, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10000000 (base 2) to base 4\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001208737414 to 6 dps.\nAnswer: -0.001209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -392\/25, -1, -0.5, -4\/3?\nAnswer: -392\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 - 7*s**2 + 7*s**2 + (s + 3*s - 3*s)*(s + 2*s - 5*s))*(-7*s + 1 + 22*s - 11*s).\nAnswer: 16*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2602*j = -2600*j - 3*q + 13, -14*q + 18 = -4*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u*u*u**(-8)*u)*u)**32*(u**(2\/13))**(-9\/4) assuming u is positive.\nAnswer: u**(6647\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - l - 150, 20*o = 18*o + 16*o + l + 711 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14112462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-65)\/(-25))\/((-2)\/(-10)). Let d(x) = x**2 - 12*x + 2. Is 5 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 846149.6 millilitres?\nAnswer: 846.1496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.17 * -1197063.\nAnswer: 3794689.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (-35 - (36 - 85) - 24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.6223ns?\nAnswer: 0.00000000000656175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8 - (-195)\/20. Let v be (-3)\/x + (-38)\/(-6). Find the common denominator of -6 + 4 + 29\/v and 59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 105*u**2 + 121*u + 62094. What is s(-100)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**2\/2 + 7. Let c be a(7). Is (-20)\/35 - (-235)\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 191709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2. Let l(d) = -3*d**2 - 3*d**2 + 2*d**2 - 3. Let t(v) = v**2 + 1. Let k(x) = l(x) + 3*t(x). Give k(c(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -16) + (-7 - 48\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158236415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 16*i - 4*i. List the prime factors of ((-3)\/(-6))\/(i\/(-948)).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 5 in descending order.\nAnswer: 5, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*m - 3*m. Let f be (-5)\/(-2)*(-5 - -3). Calculate the lowest common multiple of f\/(-3) + 4\/(-6) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 24. Let w be v(9). Solve 0 = w*q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -15) + -13 + (0 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - 686560.\nAnswer: -686560.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0471 - -3.0471. Which is the biggest value? (a) -0.3 (b) l (c) 5 (d) -2\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(270\/(-12)))\/(-2*(-2)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, r: 5}. Give prob of picking 1 r and 2 k.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(11*q + 298 - 298)*(7 - 7 - 7*q) + (-2 - 2*q + 2)*(3*q + 3*q - 4*q) + 4*q**2 - q**2 - q**2.\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466369 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2*w - 14, -4*t - 3*w = -6*w + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r. Let m(a) = -3*a - 11. Determine v(m(o)).\nAnswer: -9*o - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 3, 2, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120010701909 + -120010710612.87489937. Let b = d - -8704.7449. Let k = b - 0.87. Round k to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -101. Suppose 2*t - 1 = 2*l + a, 55 = 3*t + 5*l. Let c = 4 + 10. Calculate the lowest common multiple of t and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/5 and 140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 - 40520*g**3\/7 + 203931142*g**2\/7 + 13215518408*g\/7 + 1858792392 = 0. Calculate g.\nAnswer: -63, -1, 10162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 2. Let i(u) = 2*u - 3. Let c(l) = 4*i(l) + 6*j(l). Let f(w) = 0*w**2 + 0 + w**2 + 0. Determine c(f(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 29 - 20. Solve -3*k = -2*s + 5, x*k - 23 = -5*s - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(0 - 3 - 2*r + 0*r).\nAnswer: -8*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - 5*t - 1. Let b be g(5). Suppose 5*c - 4*c + 3 = 0. Let v be c + -3 + -1 + 2. Sort b, v, 0.\nAnswer: v, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 7. Let w = -14 + 18. Suppose 0 = 4*j + 28 - w. Let o be u(j). Solve -o*h - 2*v + 13 = -2*h, 0 = -4*h - 2*v + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/13 + 26846*w\/13 - 25568376\/13 = 0.\nAnswer: -14316, 893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14 + 1164*s + 21 - 1170*s.\nAnswer: -6*s + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -17*z**5\/30 - 11*z**4\/4 - 2*z**2 - 4. Find the second derivative of c(t) wrt t.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (42 - (27 - 6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t + 51. Let w be d(2). Suppose w*h = -6*h + 14601. What are the prime factors of h?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, -3, 290, -29\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*r**3 + 115*r**3 + 96*r**3 + 138*r**3 - 458*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2464 - -2466. Solve -o*d + 4*f = 12, -5*f = -5*d + 7*d - 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434156397 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 8, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 747309?\nAnswer: 23913888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 600131887111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 6*n - 3. Let f be (3\/(-2))\/(21\/42). Let m be f*28\/6*5\/10. Give r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g**2 - 76*g**2 + 40*g**2 - 7*g.\nAnswer: 4*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:03 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 115, 139?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3 + 2036*a**2 + 4120*a - 16352 = 0.\nAnswer: -4, 2, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311 + 511 = -20*y. Solve -4*g - 2*n = -18, 11 = -2*g - 5*n + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 32 = 3*i - 4*i, -3*z - 12*i + i + 8 = -30*i for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8964*h**3 + 2*h**2 - 2024*h + 57?\nAnswer: -53784*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5533 + 44185\/8. What is the common denominator of -93\/856 and i?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**3 + 14*m + 2. Differentiate n(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 465.7562 milligrams?\nAnswer: 0.0004657562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/5 + 868*p**3\/5 - 292676*p**2\/5 - 5543568*p\/5 = 0 for p.\nAnswer: -1124, -18, 0, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - 2*l**3)*(-3*l + 10*l - l) + (l + l + 2*l**3 + 0*l**3)*(-100*l + 213*l + 233*l).\nAnswer: 680*l**4 + 692*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 - 5526*p**2\/5 - 2209*p + 16572\/5.\nAnswer: -(p - 1)*(p + 3)*(p + 5524)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 79, 106, 117, 106, 67, -6?\n\"Answer: -i**3 + i**2 + 41*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -335 + 342. Let w(x) = 3*x**2 + 3*x - 5. Let r(q) = 6*q**2 + 5*q - 9. What is m*w(t) - 4*r(t)?\nAnswer: -3*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-2))\/(-1)*-2. Let d = t + 17. Is d\/(-25) - (-44)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**5 - 9*z**2 + 8*z. Let i(f) = f**5 - f**2 + f. Let g(r) = -24*i(r) + 3*s(r). What is the third derivative of g(b) wrt b?\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h + 15*h - 24*h)*(h - h - h)*(-124 - 8*h + 124 + 804*h**2 + 8*h).\nAnswer: 15276*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 2, v: 1, s: 2, l: 1, u: 1}. What is prob of picking 1 a and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 49*l**3 - 29035*l**2 - 29032*l + 2. What is f(-1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10*5\/4 and -13\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27203*g**3*x**3 + g**3*x - 2*x**2 + 1156*x + 2 wrt x.\nAnswer: -163218*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -117. Sort -1, w, -0.1 in descending order.\nAnswer: w, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083592?\nAnswer: 2, 510449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9215)\/30 - (-1)\/6. Let u be 3\/9*(2 - y). Suppose 0 = -4*o - 5*t + u + 8, -3*t + 129 = 5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 30*x - 120. Let l be w(25). Let k(m) = -m**2 - 5*m + 1. Let y be k(-5). Which is the fourth biggest value? (a) y (b) 1\/3 (c) l (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 12*w**2 + 14*w + 9. Let q be z(-11). Let f be ((-2)\/(-3))\/((-2)\/q). Suppose 4*m = f*m - 140. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2318 - 2095. What is the remainder when r is divided by (-524)\/(-12) - 28\/(-21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617020 is divided by 205661?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29928?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32529821, -32529822, -32529823, -32529824, -32529825?\n\"Answer: -y - 32529820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1. Let o(g) = -3*g**2 + 7*g + 9. What is -6*d(v) - o(v)?\nAnswer: 3*v**2 - 7*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.1061 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 7*k + 24. What is the lowest common multiple of 15 and u(0)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.8249309 seconds in weeks?\nAnswer: 0.00012206503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 22*r**3 + 9 - 20*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - (-28 + 12 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002080895 rounded to six dps?\nAnswer: 0.002081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 + 149. Let s(u) be the third derivative of -u**4\/4 - u**3 + u**2. Calculate the remainder when s(k) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -4. Suppose 85 + 101 = z*y. What is the greatest common factor of y and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -849 - -856. Let a(t) = t**2 + 14*t - 145. Let m be a(v). Solve -k = -3*d + 4, m*k + 0*k + 8 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1008) + -3 + sqrt(1008) - (-4 + 2 + sqrt(7))) - (1*(sqrt(1008) - (sqrt(1008) + -3*(2 + sqrt(1008))))*-1)**2.\nAnswer: -9105 - 409*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/409 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*c = -20, -z + 3*c = 3*z + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p + 1488*p**2 + 10*p - 1489*p**2 + 187 as g*p**2 + q*p + f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*j - 105982 = -1949*j - 296*j for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 0.4 (c) -0.3 (d) -254 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(2\/(-7) + (-29)\/(-28)). Suppose -j + 19 + t = 5*x, 2*j = -3*x + 18. Calculate the remainder when 18 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b33 - 7?\nAnswer: 6b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1972415, -1972474, -1972543, -1972628, -1972735, -1972870, -1973039?\n\"Answer: -d**3 + d**2 - 55*d - 1972360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-9 - (-5 - -9) - -11)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44407 (base 8) in base 2?\nAnswer: -100100100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/8 + 4*m**2. Let y(b) = 2*b. Determine -5*i(o) - 8*y(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 4*v + 7. Let o(y) = -y**2 + 9*y - 15. Let z(n) = 6*o(n) + 13*r(n). Give z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 0*f**4 + 2*f**4)*(131*f + 67*f + 114*f)*(-2 - 1 + 1).\nAnswer: 624*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-26 - (-87 - -12)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 827 - 3?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 - 149*y**3 + 1081*y wrt y.\nAnswer: -20*y**3 - 894*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10864, -43496, -97880, -174016, -271904, -391544?\n\"Answer: -10876*o**2 - 4*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 8*o - 30. Let r(i) = 1 + 29*i + 3 - 1. Is 11 a factor of r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) + 1*sqrt(170))*-3 + sqrt(170) + sqrt(170) - -2*3*sqrt(170))*1)\/(4*((sqrt(10) + sqrt(10) + sqrt(60)\/sqrt(6))*-4 - sqrt(40)*-3)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 25 = -4*d, 2*d + 2*d - 35 = -v. Suppose -3*k - 3*m = -5*k - v, 0 = -3*k - 3*m - 15. Let u be 18\/12*(-2)\/k. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*n**2 - 3 + 0 - 42*n**2 - 4.\nAnswer: -303*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 13*y**2 + 22*y - 1. Give x(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -7*v**2\/2 - 13*v + 284. Let h(d) = -4*d - 6. Give 5*h(c) - 3*l(c).\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-9*-4*2\/162\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -1*88)*(-5)\/(-3). Let n be g - 15 - 2*1. Let a = n - -282. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 3 - 1 - -187. Suppose -3*z + l = -13. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*y = 3*y - 99, 3*n - 4*y - 59 = 0. Solve 2*b = n*b - 46 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 837 and 408.\nAnswer: 113832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {b: 2, d: 8, u: 1, w: 2, z: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.987 + 10. Let m = 0.081 + c. Round m to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -80, 3\/445, -2\/3, -1 in ascending order.\nAnswer: -80, -1, -2\/3, -0.4, 3\/445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 117 = -5*b + b, p - 5*b = 121. Calculate the remainder when p is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-12))\/(-7 + 369\/54). Sort w, -12, 7 in decreasing order.\nAnswer: 7, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3532 - -7061\/2. Put a, 3, -1\/3, -2 in descending order.\nAnswer: 3, -1\/3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = 4*b, -g + 2*b - b + 11 = 0. Let m = g + -8. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 3. Let c be u(14). Let x be (-540)\/(-55) + (-2)\/c. Suppose 5*v - 210 + x = 0. What is the greatest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -105270*k**2 - 725*k - 725. Let z(y) = -435*y**2 - 3*y - 3. Determine -6*b(c) + 1450*z(c).\nAnswer: 870*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 47 times -488398\nAnswer: -22954706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6240 + 6242. What is the closest to 0 in 0.11, -2\/3, 3, x?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -23\/4*v**4 + 4 - 17\/2*v**2 + 0*v + 0*v**3. Find the second derivative of l(x) wrt x.\nAnswer: -138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16688*b - 20718. Let n(i) = 8343*i - 10366. Let y(p) = 5*n(p) - 3*v(p). What is the derivative of y(c) wrt c?\nAnswer: -8349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 2472 = -3*o. Let a = -276 - o. Suppose 3*y + a = 1. Is -46 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2, -31*c = 4*h - 36*c - 21. Let q(n) = n**3 - 4*n**2 + 2*n - 4. Calculate q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 1:38 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -21.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -414505872 + -0.73?\nAnswer: -414505872.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w + 22*w + 22*w**2 - 38*w as m*w**2 + k + r*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32597396 by 4.\nAnswer: 8149349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + -1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/66 and -14\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 22912*v + 206116. Give b(9).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 196. Let w be k(-28). Let c(g) = 8 + w*g - 12 - g + 3*g. What is c(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**4\/5 + 188*z**3\/5 - 249*z**2\/5 - 1446*z - 160 = 0.\nAnswer: -5, -1\/9, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5419275991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.032 - 2.032. Which is the smallest value? (a) m (b) -0.5 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5 - 2*s**2 + 4 + 0 + 2*s + 10*s**3. What are the prime factors of g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 878.1117 minutes?\nAnswer: 52686702000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.2265 and 361.\nAnswer: 359.7735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*x - 193789, 12*x - 4*t = 14*x - 129198. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -253, -784, -1803, -3472?\n\"Answer: -27*b**3 - b**2 - 13*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4473 and 560070.\nAnswer: 39764970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 4*j + j + (-2 + 0 - 3)*(-5*j + j + 6*j) + (1 + 2 - 1)*(5*j - 2*j - j) + 0 + 0 + 2*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 917425952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 1. Let o be l(-3). Let n(m) = -m**2 + 6*m - 6. Let k be n(4). Suppose b = -k*b + 3. Sort b, 3, o.\nAnswer: o, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + l + 4*l**4 - 1510 - 12*l**3 - 6*l**4 + 1509 in the form o*l**4 + u*l**2 + g*l + n*l**3 + v and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -f - 56 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*138\/(-46)*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 (base 9) in base 10?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 d, and 1 w when four letters picked without replacement from {w: 3, d: 3, i: 7, g: 1, z: 5}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 68881.\nAnswer: 206643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17097*c**3*o + 6*c*o + 26*o - 33 wrt c?\nAnswer: -102582*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 6*v + 7. Let p = 23192 + -23199. Let b(t) = 4*t**2 - 5*t + 6. What is p*b(w) + 6*k(w)?\nAnswer: -4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -31, -46, -79, -136?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -17 - (32 - 27 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 - -1269\nAnswer: 1271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -b + 4*h, -9*b + h - 5514 = -2734 - 2903 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwss when four letters picked without replacement from {s: 4, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.024897 - 41.009103. Let f = s + 41. What is f rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/33 and 43\/38261707.\nAnswer: 114785121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16469 divided by -43482.\nAnswer: -16469\/43482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:38 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:55 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/369 and 48.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028067 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 + 291. Suppose 2*k + 3*k = -p. Let s = 25 + k. Calculate the lowest common multiple of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201653*a**2 + 20*a - 1201352*a**2 + 9*a.\nAnswer: 301*a**2 + 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 8 + 0*i + 111\/4*i**4 + 21\/5*i**5 + 52*i**3 + 18*i**2. Factor v(j).\nAnswer: 3*j*(j + 2)*(j + 3)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 32 = -4*l + 85, -32255*l + 32256*l - 8 - 15 = -4*i for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1803*q - 384 = 1791*q. Solve -9*c = -c - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5666, 36605, 120568, 284063, 553598?\n\"Answer: 4418*z**3 + 4*z**2 + z + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 36. List the prime factors of 7*(-5)\/(105\/u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.05, 1628105\/4 in decreasing order.\nAnswer: 1628105\/4, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(4 + -1*(sqrt(39)\/sqrt(75) + 0 - ((0 + sqrt(13) - sqrt(13))*-4 + sqrt(1053) + -1))).\nAnswer: -88*sqrt(13)\/5 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 4. What is v(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -137727\/80 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39372004 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeekewkekeeeec.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 14*m - 154. Let n(i) = -i**2 + 6*i - 78. Let p(r) = 7*n(r) - 3*z(r). What is the first derivative of p(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6853236 centuries to months.\nAnswer: 822.38832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z - 51*z**2 + 4 - 12*z + 75*z**2 as d*z**2 + v*z + h and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from izbmw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6083 - 5714 = 6*j + 3*j for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 e when three letters picked without replacement from {e: 5, p: 3, n: 2, c: 1, v: 3, j: 6}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491 = -280*b + 2869 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0119843 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5079 + 17651. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 332 = -5*s, -5*k - 49*s = -51*s - 1660. What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.06 - -0.06. Let s = -16\/11 - -91\/55. Let o = -85 + 593\/7. What is the closest to o in 1, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -157*h - 1096. What is the hundreds digit of a(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 2, v: 1, l: 1, k: 1, i: 1}. What is prob of sequence ik?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -72*g**3 - g**2. Let s be o(-1). Suppose 109 + s = 5*x. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*a**2 - 230 + 259 + 10*a**2.\nAnswer: 181*a**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9705 divided by -2?\nAnswer: 9705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850430 is divided by 262?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5 + 148*r**4 + 1379*r**3 - 3896*r**2 + 1140*r = 0 for r.\nAnswer: -10, 0, 1\/3, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 16*t**2 + 263*t - 1644. Determine q(8).\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from bnybyn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10409511 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 311805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y + 3*y - 4*m, y = 4*m + 1. Which is the nearest to 1\/4? (a) -1 (b) y (c) -4\/5 (d) 0.036\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 3\/19 (b) -0.1 (c) 1 (d) -4 (e) -86\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q - 106. Let u be x(-9). Which is the closest to 0? (a) 1\/4 (b) u (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 771469 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 9. Let y be f(-5). Is (-3)\/(-12) + 1947\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 4\/9, -30?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 11*q**2 - 207*q - 35. Give i(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/15)\/((-20)\/(-75)). Let d = -1\/3 + -1\/6. Sort 0.3, a, d.\nAnswer: a, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.7611 litres?\nAnswer: 16761.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21828, -44088, -66348, -88608, -110868?\nAnswer: -133128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341679157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:11 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -114, 2, 5, 1 in decreasing order.\nAnswer: 26, 5, 2, 1, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 47 + 29 = 0. Let i = s + 3. 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 -8*p + 2*p + 3060 = 0. What is the highest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 10966*d + 704340.\nAnswer: 2*(d - 5418)*(d - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 8 (c) 5 (d) 10 (e) 0.11 (f) 1\/2 (g) 697\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/9)\/(546\/(-9126))?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53e9b (base 16) to base 11.\nAnswer: 215261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12199, -11444, -9403, -5434, 1105?\nAnswer: 10856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5 - w + 2*w**3 - 2*w**2 - 5*w + 0*w + 2*w. Let g be p(2). Solve 0*x = -g*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 834 = -3*g, 4*c - 1102 = -0*c - g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/7 + 1\/(-126)*58. Let d(u) = -u**2 - 8*u - 7. Let b be d(-7). Suppose 0 = 5*n - 5 - b. Is z greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10618 (b) 3\/8 (c) -2\/5 (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 3540?\nAnswer: 60180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 0*x - 3*x)*(-19 + 26 + 50)*(x**3 + 0*x**3 - 2*x**3) as o*x + p + i*x**2 + g*x**3 + h*x**4 and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -33, -56, -99, -168, -269?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6\/11)\/(n\/n**(-1\/13)) assuming n is positive.\nAnswer: n**(-232\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 27458696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 - 2*h**2 - 2. Let i(k) be the second derivative of l(k). Let d(r) = r. Determine i(d(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -6*w - 3*w + w + 3*w**3 - 4*w**3. What is the least common multiple of y(-1) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -721 + 1643. Is j a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202882917, -405765838, -608648759, -811531680?\nAnswer: -1014414601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q*q*q**(-1)*q)**(1\/27) assuming q is positive.\nAnswer: q**(7\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1541)\/368)\/(-6*9\/864)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310043741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o + 57*o + 64*o - 313*o + 59*o + 66*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5371, 5327, 5283?\nAnswer: 5239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -117\/70 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 158416 divided by -158416\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-45))**(-1\/17))**(1\/2) assuming s is positive.\nAnswer: s**(45\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98937*q**3 + q**2 + q + 120193?\nAnswer: -593622*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -151, -305, -449, -577, -683, -761?\n\"Answer: m**3 - m**2 - 158*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -29. Find the second derivative of -6*n**3 + 9*n**y - 5*n**3 + 18*n wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1939 (base 12) in base 13?\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64babc (base 13) in base 4?\nAnswer: 21002020032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(1632\/(-4180)) - 2\/(-3). Let h = -87\/2 - j. Which is the second smallest value? (a) 1\/5 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/3 + 2*s**3\/3 - 98*s**2\/3 - 98*s\/3.\nAnswer: 2*s*(s - 7)*(s + 1)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 - 55518139*s + 55518138 = 0?\nAnswer: 1, 55518138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((53040\/117)\/(-136))\/((-1)\/(-9))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -5 (c) 12 (d) -133 (e) -61 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 1760 = -190. Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0*s*s*s)**(-47)*s**4*s\/s**(-1\/4))\/((s*s**0)**28)**(-1\/27) assuming s is positive.\nAnswer: s**(-19625\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 q, and 1 u when four letters picked without replacement from cccucqccuuuuq?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 740341*r - 53695 wrt r?\nAnswer: 740341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 9*a**2 + 6*a**2 + 5*a**2 + 0*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 15*i**2 + 38*i + 339. Determine b(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 57. Let f(a) = a**2 + 13*a - 2. Let r be f(l). Is r less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*i + 162 + 60*i + 59*i - 235*i + 55*i to v*i + j and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2321232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/17, 1\/4, -209, -0.4.\nAnswer: -209, -3, -0.4, 2\/17, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f + 22*f = 17280. Calculate the remainder when f is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, h: 1, d: 2, u: 4}. What is prob of picking 1 u, 1 d, and 1 x?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 11*w + 6. Suppose -36 = w*z - 5*z. What is the remainder when 47 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*u**3\/3 - 37*u**2 - 45*u - 8\/3 = 0. What is u?\nAnswer: -1, -1\/16, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + i**2 + 3*i**5 + i**5 - 2*i**5 + (-4*i + 4*i - i**3)*(0*i**2 - 2*i**2 + 0*i**2) + 3*i**5 - 2*i**5 - 2*i**5 - i**5 + 4*i**5 - i**5.\nAnswer: 5*i**5 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(5 + 1*sqrt(605) + sqrt(605) + sqrt(605) + 0 + 4)**2 + -3.\nAnswer: -44211 - 4752*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3288\/7*m + 0 + 2\/7*m**2.\nAnswer: 2*m*(m - 1644)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 579.2 - 579. Let o = -0.4 + 1.1. Let v = o + -0.8. Which is the closest to v? (a) g (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-18)\/2205)\/(((-1)\/2)\/(230\/184)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.5 + -8.6. Suppose 3*o - 12 = 3*z, -4*z = 3*o - 3 - 2. Which is the nearest to q? (a) o (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355251 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32684.64 minus 0.918?\nAnswer: -32685.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/27920 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68, -69, -70, -71, -72, -73?\n\"Answer: -k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.5. Let n = 135.18 + -138. Let p = n + -0.18. Sort 3, v, p.\nAnswer: p, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Suppose -4*g + 0*b + 5 = x*b, -4*b = 20. Which is bigger: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 684564 and 0.4091?\nAnswer: 684563.5909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**30\/k)\/k*k*k**(-29)*k*k)\/((k\/(k\/(k**43*k)))\/k**6) assuming k is positive.\nAnswer: k**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/3*(-2112)\/104544.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30619.2894 rounded to zero dps?\nAnswer: -30619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let r be (4 - m)\/((-1)\/3). Let u be (7\/(-4))\/(r\/12). What is the greatest common factor of 21 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 r when four letters picked without replacement from {s: 1, r: 17}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 6699033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = -4*n, 4*h + 3*n - 10 = -0*h. Solve -h*s + 8 = 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 11 + 48 - 11 + 7*m**3 - m - 5*m**2 as h*m + s*m**3 + n + i*m**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130*2110620\nAnswer: -274380600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = 10, -4*t - 2*h + 38400 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*m + 17 = 0, 2*m = 5*y - m - 12. Suppose -y*j - 6 = -j. Let k(z) = 1 + 1 + 2 + 4*z + z**2. Determine k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.056, 2 in increasing order.\nAnswer: -3, -0.056, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16403 and 2094?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1122.57 + -1124. Let w = -0.82 + -0.51. Let p = k - w. Which is the third smallest value? (a) -70 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 380095126 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195086052 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, -5 in increasing order.\nAnswer: -14, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54363419 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*w = 16. Suppose 5*b = -0*b - w*i + 21, i + 12 = 5*b. Suppose b*o = 5*f - 5350, -5*f + 4*o + 5340 = -o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02767 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 63. What is the remainder when 12 is divided by x\/10 - 287\/(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98229 and 2877.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -0.2, -0.1, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7642*h + 3 - 3 + 3268*h + 409*h + 3785*h)*(-17 + 12 + 13).\nAnswer: 120832*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 915450*g**6 - 3*g**2 - 65942.\nAnswer: 109854000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((0 - -3) + (29 - 24) - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*l**2 + 78*l**2 - 13*l**2 + (4*l**2 - 3*l**2 + 0*l**2)*(4 - 5 - 1) + 4*l**2 - 2*l**2 + 2*l**2 + (-1 - 3*l + 1)*(-4*l + l + 5*l).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -75, -125, -195, -285, -395?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*f + 3456 + 654. Solve f*j - 153*j = 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 27, 51, 79, 111?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(12\/5)*w))\/(w*w**(-2\/5)*w))**(-16\/9) assuming w is positive.\nAnswer: w**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57b (base 12) in base 5?\nAnswer: -11230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiimmmmmhmmi. Give prob of sequence ih.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k. Suppose k = -y - 0 + 2. Suppose y + 7 = 3*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 12. What is the tens digit of h(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*t + 4*q + 213, 0 = 3*q - 3. Suppose 0 = 2*s - 3*w - t, -2*s - 3*w + 56 = -2*w. Calculate the smallest common multiple of s and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8404*x**2 + 7045*x wrt x.\nAnswer: -16808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*f + 2\/9 + 2\/9*f**2.\nAnswer: 2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12) - 42\/(-8). What is the greatest common divisor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0 = 4*u + 28, 5*u + 15 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 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: What is the ten thousands digit of 7513897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -262.\nAnswer: -53\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let p(q) = -q + 2. Determine 5*g(b) + p(b).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - z - 1. Calculate the lowest common multiple of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 23. Suppose -2*j + f = -y, -3*j = -0*j - 3*y - 21. Suppose -j*d + 58 = a, 0*d = -5*d + 5*a + 175. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1246192 and -121\/48?\nAnswer: 3738576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-6*45\/162?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = 0, b + 3*b - 8 = -4*k. Let d(c) = c**3 + 4*c**2 - 3*c - 2. Calculate the least common multiple of d(k) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 138, 0.1, -1, 0.3, 46, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46148618, 92297188, 138445768, 184594364, 230742982, 276891628?\nAnswer: 323040308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 71 - 3*i - 205 + 70.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -r + 8, -w - 1 = -5*r + 27. Let t(p) = -4*p**2 + 3*p + 1. Let s(d) = -11*d**2 + 8*d + 4. Determine w*s(k) + 8*t(k).\nAnswer: k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1216)\/912*(8\/(-42))\/((-4)\/36*2).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -58. Which is the closest to 0.057? (a) 1 (b) -4 (c) -0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a century in years?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5293 and 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -4*i + 1140. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 65 (b) 417 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10 - (-9)\/5. Let w(r) = 40*r**2 - 6*r + 16. Let m be w(y). Calculate the greatest common factor of 410 and m.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 245 + -28386?\nAnswer: -28141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -12*n + 152. Let k be r(12). Solve -3*x = -k*z + 3*z + 11, 6*x - 4*z = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 - -1429\/9. Let r(g) = 4 - 2*g**2 - g**2 + g**2 + g**2 - g. Let k be r(-3). What is the nearest to -1\/3 in q, -0.1, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, l: 3, h: 8}. Give prob of picking 3 l.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**7\/504 + m**5\/24 + 17*m**4\/24 + 19*m**2. Let j(c) be the second derivative of n(c). Factor j(b).\nAnswer: -5*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 477, 499, 523, 549, 577?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320) + -1 - (-1 + -1*sqrt(320))) + 3)**2.\nAnswer: 64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + g**2)*(-g + 7*g - 2*g)*(-2 + 1 - 1 + (1 + 3 - 3)*(-2 + 2 + 2) + 2 + 2 + 0).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*d**6 + 28*d**5 - d**3 + 2*d**2 - 6*d - 624.\nAnswer: 6240*d**3 + 1680*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 11*h - 1080. Let r = h - -25. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -596 or -371?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015489?\nAnswer: 7, 83, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s - 363 + 120. Let z be 8\/3*s\/18 + 6. Let k(r) = r. Let w(q) = q - 3. What is z*k(t) - w(t)?\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(460\/(-72)))\/(13\/65*1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -58003310.\nAnswer: -58003310, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63075 + 63075.29033. Let h = -0.73 - -1.02. Let j = u - h. What is j rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1481844 by 18998.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -396*j - 144. Let o(i) = 26*i + 9. Calculate -4*g(f) - 63*o(f).\nAnswer: -54*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4534446986?\nAnswer: 2, 463, 4896811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -1 - (-14)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.13 + 2.83. Let v = -152.9 + 153. Which is the third biggest value? (a) p (b) v (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 80 = 32. Let a = 10 - p. Is a*1*6\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35351, -141546, -318587, -566474, -885207?\nAnswer: -1274786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 74*m = 56*m - 336, 0 = 4*m + 72 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2719 + -1639. Suppose -3*g - 3222 = -3*i, -i - 12*g + c = -11*g. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1\/c*c)**(-1\/26)\/(c**10\/(c\/(c**(-2\/3)\/c*c))) assuming c is positive.\nAnswer: c**(-328\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -429269\/2088 or -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/60 + d**4\/8 + 2*d**3\/3 - d**2. Let v = 16 + -20. Calculate the remainder when l(v) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 755*l**2 + 767*l + 38. Calculate v(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 223819920 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 14 - (-135 + 108)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n, -c - 7*n + 9 = -4*n. Solve -5*a = -c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 - -249. Let l = -9 - -14. Suppose 6*s + 4*x = 2*s + 104, l*s - 129 = -4*x. Calculate the remainder when m is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7))**(-17\/2)\/(((i\/(i*i**(-10\/11)))\/i)\/i**(1\/15)) assuming i is positive.\nAnswer: i**(19687\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)\/(z**(-1\/2)*z*z))\/((z*z**(2\/3))\/z**(-5\/2)) assuming z is positive.\nAnswer: z**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 3. Let i be d(-2). Let b(r) be the third derivative of -2*r**2 + 0 + 2\/3*r**3 + 1\/60*r**i + 0*r - 1\/8*r**4. Determine b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 154\/(-21)*(0 + -9). Suppose -2*o - 4*w = o - c, -o = -5*w - 41. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, -1, -20\/19, -541, 0, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 228, 456, 684, 912?\n\"Answer: 228*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = 227*i + 515 - 29. Which is bigger: -117\/37 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22073c (base 13) in base 2?\nAnswer: -11000011100010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = -2*d - 5, -8 = 4*t - 3*d. Let g = 1 - 1. Sort -1, t, g in descending order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t - 6*t - 2*t - 23*t in the form c*t + q and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 m, and 2 l when four letters picked without replacement from {c: 2, r: 4, v: 2, m: 1, u: 1, l: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7764 divided by 14\nAnswer: 3882\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -6922553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let d(g) = 3*g - 9. Suppose -z - 2 = -3*p, -p + 3*z = p + 8. Let r(w) = p*v(w) - d(w). List the prime factors of r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oszsowwzss. What is prob of picking 1 w and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045653911 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98238?\nAnswer: 2, 3, 7, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.98 (b) 10 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 2*w - 78. Which is greater: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430216 (base 7) to base 10.\nAnswer: 74542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-4) - (-3)\/6. Let s(v) = -7*v**2 + o*v**2 - 8*v**2. Let k(f) = -f. Calculate k(s(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 43*u + 111 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03289941 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 6*c + 4.\nAnswer: -2*(c + 2)*(2*c - 1)","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 lwofwwttoleoee?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(1040\/6)*96\/(-36).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 - 6*n**2 - 9*n - 9. Let s be j(7). Suppose -f = i + s + 58647, -60337 = f + 3*i. Let p = f - -38340. What is p rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*r - 1036*r + 2232 = -456*r for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17 - (-18 + 35)) + 11\/(0 - -1). Solve -g = -5*z + 15, r*z = 5*g + 3*z + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 + 3*s**3 - 21*s + 36*s - 2*s**2 - 17*s + s**4 in the form j*s**3 + l + a*s + p*s**2 + r*s**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11084699569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 + -936\/5. What is the second biggest value in 2\/9, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (410\/(-4920))\/((-5)\/1740)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:28 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-4)\/(-14)) + 2. Let z be 1 - 0 - w\/(-1). Let n = 1215.7 - 1214.7. What is the closest to 13 in n, 0.5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y - 137*y**2 - 34*y - 26*y.\nAnswer: -137*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4941, 4467, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173847*h**3*i - 1343*h**2*i + 4*h**2 + 4*h - 2*i wrt h?\nAnswer: -1043082*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242115\/8 at least -316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1\/17 in decreasing order.\nAnswer: 4, 1\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-8) - ((13 - 8 - 5) + -7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44678 + 0.1.\nAnswer: -44677.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7e (base 16) to base 12\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 2*f + 4*f + (-7 - 3 + 1)*(0*f - 2*f + f))*(-36*f**2 + 61*f**2 + 43*f**2) to the form u*f**3 + z*f + r + x*f**2 and give u.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = -16*x + 8*x. Let a = x - -145. Calculate the remainder when a is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -104, -183, -288, -425, -600, -819?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(-3))\/(8\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 65.51. Let x = w - -0.19. What is the smallest value in -0.4, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 6*c. Suppose c = -2*m + 8*m - 342. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let i be z(5). Let w be (6\/(-4))\/((-7)\/(-56)). Find the common denominator of (-278)\/w + i\/(-8) and 49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -a + 39, 8 = -k + 5. Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1842496 divided by 230312\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 7, u: 4, b: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 482.69 + -443. Let r = i - 0.69. Let s = r + -36. Is s greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-711597)\/2 - 2\/4)*(-111)\/111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11320 and 1306328?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122981 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118290648?\nAnswer: 2, 139786331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102002 - 10?\nAnswer: 101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/45*-15*(-4)\/336\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 2. Let d = -2 - -2. Let m be z(d). What is the second derivative of 2*a - a - a - 4*a**2 - m*a wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580 (base 11) to base 15\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77783806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 + 6*g**2 + 8*g. Suppose 0 = 77*x - 76*x - 1. Let r(f) = -f**2 - f. Give x*h(w) + 6*r(w).\nAnswer: -7*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 697, 1392, 2087, 2782, 3477?\n\"Answer: 695*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4754 and 3101985?\nAnswer: 6203970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (552\/(-5382))\/((-8)\/126) - 3?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 945*p + 82711. Determine b(116).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 803*d + 51. Let n be l(-2). Let m = -580 - n. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 0.301192?\nAnswer: -0.00903576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = i - 10, 3*i - 4*p + 0*p = 19. Let r = i + -3. Calculate the least common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -7 (c) 16 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3020239?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.05 (c) -2 (d) -0.4 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 258, 287, 334, 399, 482, 583, 702?\n\"Answer: 9*p**2 + 2*p + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:20 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 + 7*m + 12. Let o(b) = -b**2 + b + 2. Let s(c) = 6*h(c) - 39*o(c). Solve s(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 753196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041289 to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53233, 53453, 53673, 53893, 54113?\n\"Answer: 220*y + 53013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*b + 134*b + 314*b + 69*b - 10*b in the form v + m*b and give m.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 718, 713, 714, 727, 758?\n\"Answer: k**3 - 3*k**2 - 3*k + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*b - 2 = 0, t = -12598*b + 12596*b + 1 + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*a**2 - 13*a**3 - 507*a**2.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 462 divided by -24\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 - 15*j**3 + 78*j**3 - 22*j**3 - 16*j**3 - 22*j**3.\nAnswer: 3*j**3 - 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23021.9ng to milligrams.\nAnswer: 0.0230219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653849 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/6 (b) -1239 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j - 3*k, -1 = k - 0. Let u(c) = -2*c + 6. Let l be u(5). List the prime factors of j\/4*l - -18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 + 2265*b**2 - 56688*b\/5 + 9072.\nAnswer: 3*(b - 4)*(b - 1)*(b + 3780)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -218.8018 and 34462.09?\nAnswer: 34680.8918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 15. Let i(p) = 2*p**2 - p + 4. Let f be i(w). Calculate the greatest common divisor of 80 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -34 - 6. Let t be (c\/(-20))\/(2\/12). Sort t, 2, 0.5 in descending order.\nAnswer: t, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -660666 and -4624654\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 161*w**2 + 5*w + 2. Let m(l) = 161*l**2 + 4*l + 1. What is -4*a(t) + 5*m(t)?\nAnswer: 161*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*h - 46 - 0, 2*k = -2*h + 28. Let u(a) = 13*a**2 - 4*a + 4. Let j(z) = -28*z**2 + 7*z - 8. Let n(v) = 6*j(v) + 13*u(v). Does 4 divide n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5 - 0.4. Let f = -3 - b. Let s = 949\/573 - -2\/191. What is the nearest to f in -3, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000690469193 rounded to 7 dps?\nAnswer: 0.0006905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18285559 to the power of 1\/2, to the nearest integer?\nAnswer: 4276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293 - 172. Let x = 4 + 7. Calculate the greatest common divisor of x and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*u + 10 = 0, l - u = 2*u - 6. Let a(m) = m**2 + m - 10. Let z be a(l). Let t = -1 - z. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.666 + -0.666115. What is p rounded to 6 decimal places?\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -313, -1061, -2523, -4939, -8549, -13593?\nAnswer: -20311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2 - 139*t - 140 = 0.\nAnswer: -1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52c - -1?\nAnswer: 52d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127843639301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 687 and 180681?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10512170 is divided by 956.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 16*v + 25. Suppose 36 = -13*a - 29. Let p be y(a). Let o = -1.2 + 1. What is the biggest value in -0.5, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - v + 1, -2*z - 1 = -v. Suppose -5*y = 2*g - 35 - z, 2*y + 3*g = 25. Let s(h) = h**2 - 4*h - 2. List the prime factors of s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f - 28*f = 32*f - 392 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1117*q**2 + 7*q + 22. Let t be i(-5). Suppose 0 = 12*y - 6*y - t. Suppose -y = -3*x + 2419. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 494200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 - 13*d - 6. Let t be r(7). Let g = -65 - t. Suppose -5*x - g = -3*v, x = 5*x - 8. What is the remainder when 41 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5812 in 0.3, -2, 0.01, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*b**3 - 2 + 14*b**3 - 17*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 92.8. What is the third biggest value in 28, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q + 2. Let h(o) = 8*o + 3. Let t(a) = 84*a + 32. Let n(y) = 32*h(y) - 3*t(y). Determine w(n(j)).\nAnswer: -84*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*s - 16, 4*s - 3*q - 14 = 1. Suppose 2*n = -2*j + n + 83, -s*j = -2*n - 142. Calculate the least common multiple of 92 and j.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16903497?\nAnswer: 3, 13, 67, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 + 2?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -34 - (-21 + -1 + (-4 - -9))) + -127?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/(-6))*1. Solve v - u*p + 5 = 0, 5*v = -0*v + 4*p + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53877174881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 3779?\nAnswer: -3776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4519.33 (c) 0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 21, 85, 171, 279, 409, 561?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100186*r**3 - 52479*r**3 + 248655*r**3.\nAnswer: 296362*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1)\/x**(-3))\/(x**0\/x*x)**(-3\/11))**(-2\/135))**(-47) assuming x is positive.\nAnswer: x**(188\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -588 - -591. Find the third derivative of 10*w**4 + 29*w**v - 9*w**4 + w**4 - 130*w**3 + w + 173*w**2 wrt w.\nAnswer: 48*w - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t**2 + 2*t. Let p(q) = q**3 + 4*q**2 + 4*q + 10. Let r be p(-4). Determine j(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 1\/2*i - 5\/4*i**2 + 1\/4*i**3.\nAnswer: (i - 4)*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0098 - -0.1098. Let p = -0.1 + -0.3. Let t = 2.4 + p. What is the closest to y in 0, 4\/11, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2395265 and 1030?\nAnswer: 4790530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26938 is divided by 6723?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8372000 rounded to the nearest 100000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102097911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 10. Let d(c) = c**2 - c. Let l(v) = 3*v**2 - 2*v. Determine t*l(s) + d(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.83542 * -5.\nAnswer: -4.1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62831.\nAnswer: 83, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 356500 - -2102?\nAnswer: 361602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/3)\/o*o*o*o\/o**(-1\/8)*o*(o**0)**(3\/10) assuming o is positive.\nAnswer: o**(43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -68, -121, -178?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/27)\/t*t*t**(1\/4))\/(t\/(t\/t**(-1))*t)**(-2\/61) assuming t is positive.\nAnswer: t**(35\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**6\/360 + h**5\/20 + h**4\/8 + h**3 - 2. Let p(g) be the third derivative of c(g). Suppose 3*u + 10 = u. Calculate p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - f - 2. Let p be l(-1). Let s(r) = r**2 - 3*r + 4. Let q be s(p). Solve -q = k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -16113?\nAnswer: 4\/16113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2118 (b) -2\/7 (c) -0.1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-16))\/((-3)\/36). Suppose -2*q - j - 1 = 0, 0*q = q + 4*j + 18. Let b(t) = -18*t**y - 3*t**q + 6*t - 3 + 19*t**3 - 2*t**2. Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.81 + 23.8. Let d = -3.49 + o. Sort 0, d, -0.16.\nAnswer: d, -0.16, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*v - 249*v = 23969. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from gfccsyg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8 - (3 - (-22)\/(-4)). What are the prime factors of (-417)\/(1*(r - (1 + 2)))?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*z - 13, 5*z - 6 = 2*l + 4. Suppose j = 4*v + v - 1480, 0 = -v - z*j + 296. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Let h be -2 + -8*(-2)\/4. Let i(o) = 0 + 4 - h + 2*o. What is i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30399 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8903974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a hour in minutes?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -89180 at least as big as -89178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**3 - 2 + 13*j**3 - 2*j - j**3 - 3*j**3 as k + u*j + d*j**2 + f*j**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/359 + 1143\/7898. Let m(y) = y**2 + 10*y - 1. Let v be m(-10). Is b > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, t: 10, y: 2}. What is prob of sequence rttt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-28))\/((2\/120)\/((-7)\/98))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -115568.9 rounded to the nearest 100?\nAnswer: -115600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19\/(-114) + (-5798)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * -8.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.03 (b) -3 (c) 1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19093 divided by 65\nAnswer: 19093\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 44*t + 335. What is the least common multiple of g(-7) and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102199 + -58151. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {u: 1, l: 2, z: 1, k: 3, x: 5, m: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81965460 and 81965460?\nAnswer: 81965460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1 - 1 - 2*r + 0*r. Let b(m) = m. What is i(b(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2471*m = -2475*m, -25*l + m + 50 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 786.27166 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2698117 and 526?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12675*j**2*n*o - 1421630*j**2 + 485*n + 3*o wrt n.\nAnswer: 12675*j**2*o + 485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**3\/2 - 31*w**2\/2 + 215*w. Calculate i(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 5, 0 = 2*z + 4*q - 346. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6228834080?\nAnswer: 2, 5, 7, 5561459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19155396 divided by -17?\nAnswer: 1126788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.009 (b) -0.6 (c) -3\/34 (d) -4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(500) + -2*sqrt(500) + sqrt(500))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/36 - (-20262)\/54. What is the units digit of (5 + h\/(-10))*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446061, 446050, 446027, 445986, 445921, 445826, 445695?\nAnswer: 445522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45736 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: In base 11, what is -46771 + -724?\nAnswer: -47395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 113250 = -3261. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1498748410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 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 -8*m + 6*m - 2 = q, 192*q = 200*q - 5*m + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60506303 (base 7) to base 13\nAnswer: -107046b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3099998*w**3 - w**2 + 2*w + 1. Let d be h(-1). What is d rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85261*h**3 - 42627*h**3 + 4 - 42633*h**3 - 4.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = q, 0 = 3*i - 4*i + 3*q. Let u = i - -2. Which is the smallest value? (a) u (b) 4\/3 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g - 3. Give h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-2\/5)*r))**(-24)*r\/(r\/(r*(r*r**(-2\/7)*r)\/r*r))*r**4*((r**8*r)\/(r\/r**(2\/7)))**(-17\/2) assuming r is positive.\nAnswer: r**(-3406\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 618 and 817923?\nAnswer: 1635846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-30)*((z\/z**(-1))\/z*z)**(-3\/4)*z\/(z*z**6)*z\/((z**(-2\/5)\/z)\/z)*(z*z**(-2\/19))\/z*z*z**6 assuming z is positive.\nAnswer: z**(531\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*u = -s + 352, 4*u + 344 = 3*s. Calculate the greatest common divisor of 48 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + j - 10 = 5*j, 0 = 4*m - 5*j - 17. Solve n - 5*n - 2 = m*g, -3*n = 2*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12112 (base 3) to base 7\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2695 and 180180.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -5, -49, -131, -263, -457?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 74) + 7 + 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-8))\/((-3)\/(-8)). Factor -4*d**2 - 3*d**4 - d**h + 4*d**2.\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296 divided by 21\nAnswer: -296\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 178 + 74 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p - 23 - 299 - 1214 = 0 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/13, 0.3, -66, -3, 0.\nAnswer: -66, -3, 0, 2\/13, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1306*y**3 - 5*y**2 - 5. Let d(r) = -48323*r**3 - 184*r**2 - 184. Determine 5*d(i) - 184*f(i).\nAnswer: -1311*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 40 = 10. Let q be 12\/g - (-27)\/5. Suppose -2*c + c - q = 3*v, -9 = -3*c + 3*v. Solve 5*z + c = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190 - 177) + -6 + 0 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 2056, -6.\nAnswer: -6, -4, 2, 2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*10\/(-1*(-12)\/(-21)). Solve 4*y - 5*n = -0*y + r, -2*y + n = -13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1150)\/(-60))\/(-23))\/((-300)\/1890)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (707 - 978 - 2859)*(l**2 - l**4 + 3*l**4 - 3*l**4).\nAnswer: 3130*l**4 - 3130*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1701) - sqrt(1701))*1)\/((sqrt(1260)*-4)\/sqrt(5)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 513*r**2 - 1017*r + 507.\nAnswer: -3*(r - 169)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -u, -10 = -3*u - 2*y + 6. Let h = u - 0. Suppose 36 = 4*l - f - 3*f, -l + 2*f + 8 = 0. What is the lowest common multiple of l and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224819\/30 + -7494. Which is the nearest to -1? (a) i (b) -2\/25 (c) 8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 724010949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 160798.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -514 - 416. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345959 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6234 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -906\/11 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753 + 7 + -2 + 4\/(-1).\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 + 2*r**2 + 0*r**2. Let f(w) be the second derivative of -w**4\/6 + 2*w. Determine f(s(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-11)\/4950*-30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 34 = -64 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u - 183692 = 502038. What is u rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -771932363?\nAnswer: -771932363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7555866346 - -0.1075\nAnswer: -7555866345.8925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 3*p - 3 = -5*z, 0 = -5*z - 4*p. Solve 4*r - 12 = -21*o + 17*o, z*o - 3*r - 19 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 5*d + 12 = 0, 4*f - 4*d = 0. Suppose -h - 5*y + 4 = -6, 5*h - 160 = -f*y. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b - 6*b + 5 - 17. List the prime factors of n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*(-18)\/(-48)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22762 and 5391.\nAnswer: 204858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -78*(-15930)\/458640 - 55\/20\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3)\/(-6))\/((3666\/(-52))\/47).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 457 - 457.03. Is 44 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2556*d = 2548*d + 10576000. What is d rounded to the nearest ten thousand?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62d178 (base 15) to base 14.\nAnswer: -8a5649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*a - 3*d, a - 5*d + 4 = -1. Solve -4*w + 0*w = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:53 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 3, -2\/13, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896.414l in millilitres?\nAnswer: 2896414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/52*925756\/3748?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -5*b**6\/6 - 15*b**5 - 135*b**4\/2 + 180*b**3 + 1620*b**2 + 18. Solve c(x) = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75666.02 centuries in months?\nAnswer: 90799224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1515 - -0.15152948. What is k rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 216 = -204. Solve -4*c + 6*w - k*w = 1, w + 6 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/237? (a) -7\/3 (b) -0.2 (c) 6\/7 (d) 0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 12*o - 2. Let l be a(9). Let j(w) = w**2 + 26*w + 10. Is j(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/14*((-4838)\/574 - (-2 + 22\/14))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 501.71043 to the nearest 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20513 + 1352?\nAnswer: 22305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 33*r - 20. Suppose b - 808 - 2743 = -5*a, -1421 = -r*a - b. List the prime factors of a.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14941*w + 5 - 5 - 14943*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = -x, -2*b - 2 = -5*x - 4. Suppose g = -5*j, -g - g + 4*j = x. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/4 - 3*h - 27 = 0.\nAnswer: -6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*d = d + 285, -4*w = -2*d - 350. Let r be (42\/(-9))\/(2\/(-6)). Let l = r + 1. Calculate the highest common factor of l and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -1) + -14 + -21\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 j, and 1 r when four letters picked without replacement from {l: 1, o: 2, r: 2, j: 7}.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 22, 25, 30?\n\"Answer: n**2 - 2*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10399791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/13))\/(j**(-11)*j*j))\/(j\/(j\/((j\/(j*j\/j**(-2\/7)))\/j))*j**(3\/4)*j))**(-1\/50) assuming j is positive.\nAnswer: j**(-3863\/18200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 2. Let t be g(4). Let i = t + 3. Let m(h) = h**3 - 4*h**2 - 6*h - 6. Calculate m(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*l = 330*l - 116 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from ryioyrorriyfrro?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1116881 divided by -17\nAnswer: 1116881\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 4*p - 5*p)*(-2*p + 2*p - 3*p**2) + 0*p**3 + p**3 + p**3 - 13*p**3 + 4*p**3 - 17*p**3 to r*p**3 + i + j*p + m*p**2 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + 201*j + 813. Let u be t(-4). Calculate the highest common divisor of u and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431842 (base 10) in base 7?\nAnswer: 3446005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 588908.8l?\nAnswer: 588908800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 23 - (1 - -16) - (-3 - 60)) + -7?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -625631500 rounded to the nearest 1000000?\nAnswer: -626000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.83? (a) 1 (b) 0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 124 + 236. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -15*n**4 + 6569*n**3\/3 + 106240*n**2\/3 + 417412*n\/3 + 87584\/3 = 0?\nAnswer: -8, -34\/5, -2\/9, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9843719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -2\/19809, -3, -0.1?\nAnswer: -2\/19809","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24468570 and 137023992?\nAnswer: 685119960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.8 - 24. Let x = -1.3 - j. Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052 (base 9) in base 11?\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.6525196 - 12.652. What is i rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**(-2\/45)*(y\/(y*y**(-2\/3)))\/(y*y**(-2\/23)) assuming y is positive.\nAnswer: y**(-301\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -185270*s + 185270*s + 1 - 502*s**2 as x + n*s + w*s**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9 - 4 - 3 + 2*u - u. Let r(q) = 3*q + 5. Let d(f) = -5*m(f) + 2*r(f). Determine d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215.078 - -214. Let u = 0.078 + f. Which is the third biggest value? (a) u (b) 4 (c) -0.2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 12*p - 27 - 2*p**2 - 12*p + 7 to c*p + u*p**2 + z*p**3 + q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8032 + 2*q**2 + 4086 + 4113 + 2*q)*(-5 + 0 + 4) in the form o*q + n + t*q**2 and give n.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**2\/2 - y + 284. Let n(z) = -z**2 - 1. Calculate -n(u) - p(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10163 - 30487\/3. What is the nearest to -2\/11 in 4, -45, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -61, -19, 9, 11, -25, -111, -259?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 17534 = 2*k, 5*k + 23*i = 18*i + 43840. List the prime factors of k.\nAnswer: 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**2 - 9*m + 24. Determine z(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 5*n - 3*n)*(-3 + 3 - 3)*(4*n - 5*n + 0*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-195295)\/35 - (-2)\/(-14). Round c to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 790777383117.\nAnswer: -790777383116.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Let z(t) = 3*t - 10. Let v be z(s). What is the remainder when 30 is divided by -8*(v*-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381692 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*k + 2 + 54 + 88 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 678 - 4752\/7. Which is the closest to -0.1? (a) 1 (b) -6 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 829 and -5.\nAnswer: -4145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - h = -12, -2*g + 26 = -5*h + 50. Solve -5*j + 26*d = 30*d - 20, -12 = -g*j + 5*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 8. Let b be h(-19). Which is greater: 10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13941666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 5*p**2 - p - 2. Let g be n(4). Suppose -3 - 1 = -4*c, -4*j - 5*c = -45. Is j equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2. Suppose -i - 7 = -12. Suppose -4*c - 4*b = 20, b + i = 3*c - 2*c. Determine t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 26 - 32. List the prime factors of (-1)\/p + 115\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*f - 2*f - 13 = 0, 3*a - 5*f = 12. Let b = a + 6. Suppose -5*x - 16 = -3*l, 0 = b*l - 2*l - 3*x - 18. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -518, -1\/135, 1\/2?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 8:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.12 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(-10 + 7 - -2). Is -3*(x + 15664\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-14))\/(27\/3*-1))\/(-2)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323*z**2 - 155 + 155)*(3*z**2 - 3*z**2 - z**2)*(-4*z + 3*z - z).\nAnswer: -646*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9171535061?\nAnswer: 13, 67, 1453, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1314701 by -5.\nAnswer: 1314701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 + -118. Find p such that 9*p**4 - 33*p**4 - 16*p**4 + 13*p**4 - 27*p**3 - p - r*p**2 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 6. Let g(n) = -23*n + n**2 - 2*n**2 + 22*n + 7*n**3. Let q be g(-1). List the prime factors of p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119830, 239607, 359384, 479161?\nAnswer: 598938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50012300353 + 5?\nAnswer: -50012300344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:00 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 + 7*t + 5. Let p be q(-2). What is the highest common divisor of p and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 2, f: 4, l: 3}. What is prob of picking 1 a and 1 f?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 6*o - 12. Let g be b(11). Suppose -3*s = 5*u + g, 35 = -5*u - 5*s - 10. Is (u\/(-6) + -1)*159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o - 5*h - 27, 0 = -4*o - 3*h + 65. Let a be 12\/24 - 1\/(-2). Let g(s) = 40*s + 1. Calculate the remainder when g(a) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 0. Let q = i - -14. Let d = -83 - -86. Which is the nearest to q? (a) -4 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z**(-4))**(-1\/10)\/((z**1*z)**(-46)*(z**1*z)**(3\/40)) assuming z is positive.\nAnswer: z**(1851\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:12 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {y: 3, i: 3, w: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/78 and 53\/918?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f + 1\/60*f**5 - 2\/3*f**3 + 0*f**4 + f**2 + 0. What is the first derivative of w(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109.528035 + -1.501.\nAnswer: 108.027035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 15660.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 87115.\nAnswer: 871150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 9196*g**2 + 813044*g + 17639460.\nAnswer: -4*(g - 2385)*(g + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h, 2*h + 6 = -4*f + 6*f. Suppose 0*j + f*j = 9. Is 4 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 14.93.\nAnswer: 4.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -50, -14, 32, 94, 178, 290?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*p + 5*p. Put -4, p, 1 in increasing order.\nAnswer: p, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4564 - -4560. Let i = -9 - -9.09. Let g = i + -1.69. What is the nearest to g in -0.2, 4, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2178\/17 - -128. Which is smaller: 0.3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 0*z**2 + 4*z**2 + 773105 - 660*z - 773103 - 2*z**2.\nAnswer: 2*z**2 - 660*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*-6 - (sqrt(170) - sqrt(170)*-1)*3)\/(sqrt(490) + -2*sqrt(490)*-3 + sqrt(490)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/15))\/q)\/q**6*(q**1\/q)**49*(((q*q*q\/(q\/(q**(2\/3)\/q))*q)\/q)\/(((q*q**(-1\/3))\/q)\/q))\/(q**(-2))**6 assuming q is positive.\nAnswer: q**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 4124*s**3\/3 - 3092*s**2 - 32*s - 3. What is the derivative of i(v) wrt v?\nAnswer: 8248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/(-3))\/(((-12)\/(-32))\/(180\/(-320))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10115 and 8285?\nAnswer: 16760555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.019 + -0.081. Let x = 14.1 + f. Let g = 2 - 1.96. Sort x, g, -1 in descending order.\nAnswer: x, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(448) + sqrt(448)*3 + sqrt(448) + sqrt(448))\/sqrt(1600).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccctcccccccccccccc. Give prob of sequence ccc.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 40. Let k be y(9). Let w(t) = 9*t**2 - 11*t + 5. Let g(n) = -5*n**2 + 6*n - 3. Determine k*w(i) - 7*g(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3869055 and 1631570?\nAnswer: 3385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**2 + 38*d - 7. Let h(l) = l**2 - 2. Let q(p) = 6*h(p) + o(p). Let a be (2 - (-1)\/(-2))*10. What is the hundreds digit of q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 20*v + v**2 - 20*v. Let d(o) = -12*o - 27. Let q(k) = k + 2. Let g(w) = -2*d(w) - 27*q(w). What is z(g(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let s = 6 + -2. Suppose -5*k + 6 = s*r - 34, -3*r + 15 = 0. Let h(b) = -b - k*b + b. What is h(n(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4 + 4144768*o**3 + 1073967380704*o**2 + 141709535024640*o + 4675818929601600 = 0.\nAnswer: -518030, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -7*v**4\/12 - v**3\/6 - v**2\/2 + v. Let p = -660 + 658. Let r(l) = 3*l**2. Determine p*u(n) - 5*r(n).\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -533.042 - -533. Let a = q - -1.042. Let d be (-2)\/(-5)*(-1)\/2. What is the smallest value in 8, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.5. Let l = -0.1 + v. Let a = -3.02 + 0.02. What is the nearest to 0 in 1, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 - 147.02. Let q = -0.02 - a. Let d = q - -4. Is d < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jujjjujjuuj?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28344 - -0.223418. Let p = b - -0.06. What is p rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229 - 229.948. Round k to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111122 (base 3) in base 15?\nAnswer: 4d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and 11\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1067b9 - 2?\nAnswer: -1067bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8345142 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*((-3 + sqrt(65)\/(sqrt(15)\/sqrt(3)) + -2)*-2 + 3).\nAnswer: -60 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*g + 11, p + 75 = g + 78 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g = 578732 + 251844. Suppose -3*x = -5*x - 42432. Let w = g + x. What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1001779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 11 = 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let x = -3113\/8 + 388. Calculate the common denominator of 13\/(-22) - (-3)\/n and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 - 5*p**2 + 6*p. Suppose -52*x = -50*x + 10. Let a(u) = -u**3 - u**2 + u. Suppose -4*g + 3*g = -1. Give g*k(d) + x*a(d).\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796232708.\nAnswer: 2, 3, 49895353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*h = -63. Suppose 12 - 4*q**2 - 4*q**3 - 21 + h = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/1040)\/((12\/(-352))\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (23\/(-6) - (2 + -6))*78. Solve 4*x - r = -4*z + 3*x, -5*z = -x - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33953.518 + -34029. Let n = -0.918 + g. Let i = 76 + n. Which is the fourth smallest value? (a) i (b) -3\/4 (c) 3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:45 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 95016 divided by -37\nAnswer: -2568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -16 (b) -2\/19 (c) 1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -574 + 565. What is the tens digit of (-40)\/((-72)\/m) - -127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Find the second derivative of 5*j**3 - 5*j**3 + z*j**3 - 3*j wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 - 4*s**2 - s - 1. Let k be u(-3). Let r = 175 + k. Suppose -4*c = -0 - r. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose 13*p + 252 = 34*p. Suppose -c - i + p = 0, 0 = -n*c - 2*i - 3*i + 48. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6960, -28159, -63586, -113235, -177100, -255175, -347454, -453931?\n\"Answer: a**3 - 7120*a**2 + 154*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/86964 and -15\/550772.\nAnswer: 1652316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3663736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {h: 1, f: 1, z: 1, u: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1814354 or -1814549?\nAnswer: -1814354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -9, -1\/7, -2\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5835379129080 + 4?\nAnswer: 5835379129084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 + -104. Is 119320\/f + 4\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*442715.38.\nAnswer: 2656292.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13393736 is divided by 2232275?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88 - 30*k**2 - 88 + (0 + 2 - 3)*(-1 + 9 - 4)*(k**2 + 2 - 2).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - (-2 - -6) - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98651\/8 + 12362. Which is bigger: 31 or m?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l + 4. Let a(p) be the third derivative of -p**6\/120 - 5*p**4\/24 + p**3\/2 - 24*p**2 - 1. Calculate 7*a(m) - 5*x(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -0.4, 9\/23, -223, 1\/6, -1\/4?\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2931.620006 + -2932.02. Let l = 0.01 - -0.39. Let k = f + l. Round k to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 10*i = 3*u + 32, 12 = -2*i - 5*u. Let r = -3.785 - 0.215. What is the closest to 0.2 in i, r, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + -1 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5+-184.7\nAnswer: -189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 82*j**3 - 313*j**2 + j - 10688. Let l(f) = 98*f**3 - 313*f**2 - 10690. Let y(b) = -5*l(b) + 6*o(b). Differentiate y(z) wrt z.\nAnswer: 6*z**2 - 626*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, h: 1}. Give prob of sequence yyv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 13632*x - 11614464.\nAnswer: -4*(x + 1704)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2411226 (base 7) to base 4\nAnswer: 1022203230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from kcwwwwchczwwzw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*a - 118 = -t, -175 = -3*t + 5*a. Let w = t - 35. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 316, -46, -22 in ascending order.\nAnswer: -46, -22, -2, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:55 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -48. Suppose -5*a - w + 53 = 0. Let g = -7 + a. Solve g*d + 5*o = 5*d + 5, 0 = -4*d - 3*o + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1315*q + 2194 wrt q.\nAnswer: 1315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/33*48\/(-72))\/(4\/(-6)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104324 and 1111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 63 - 213. Calculate the highest common divisor of 105 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 23*y - 10*y - 2*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 7*w + 6. Let h(r) = 4*r**2 - 6*r + 5. Determine -4*h(x) + 3*j(x).\nAnswer: -4*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4310\/19, -4\/5, -25?\nAnswer: 4310\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74078, -148241, -222406, -296573, -370742?\n\"Answer: -l**2 - 74160*l + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 9846 = -4*k + 9790, 6*g + 4*k + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -610*47232\nAnswer: -28811520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7\/78*-3*1\/((-154)\/176)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-1)*(58\/(-12))\/(-29)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((4 + 2 - 7) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*t + 15635 = -1370*t + 3085*t + 2419 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 47 in ascending order.\nAnswer: -5, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/215 and 24\/5.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhhwhh. Give prob of picking 2 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1858, -1818, -1798, -1798, -1818, -1858, -1918?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -4*o**3\/3 - o**2\/2 - 3*o + 28. Let v(r) = 5*r**2 + r + 4. Calculate -3*v(f) - 4*y(f).\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnvvbky. What is prob of sequence vnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(0*b**2 + 5*b**2 - 20*b**2) as v + c*b + f*b**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1203, 1192, 1165, 1116, 1039, 928, 777?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4567680308 to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 2.4, -0.1, -1 in increasing order.\nAnswer: -3, -1, -0.1, 0.1, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:08 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15096*11489.\nAnswer: 173437944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 22*z + 129. Determine c(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0 + 171*j - 169*j + 0. Let h(f) = 3*f**2 + 53*f. What is b(h(i))?\nAnswer: 6*i**2 + 106*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/11)*w**(-6))**(1\/62)*((w\/(w**(-2\/3)*w))**(-3\/35))**33 assuming w is positive.\nAnswer: w**(-47357\/23870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*x - r, 0 = 4*x + 2*r - 7*r + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28848271.\nAnswer: 37, 47, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*z = -23, -4*n - z = z - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcfccccfccffc. Give prob of picking 1 f and 1 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -8\/15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.238928ng in tonnes?\nAnswer: 0.000000000000007238928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1990950 and 11700.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 767 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.272 in 4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3446 - 1911. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 9*w - 20. Let x be m(-8). What is the units digit of (-14)\/x + (-2)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 2)\/((-3)\/8). Let w = -5 - x. Suppose 6*u - 2*u = 8. Solve w*h - u = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20349157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 2*p + 4*c + 100, -2*p = 5*c - 260. Solve -14*d = -p + 154 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) + 1 + -5 - sqrt(1331) - (sqrt(1331) - (sqrt(1331) + (sqrt(1331) - (4 + -2*sqrt(1331)))))) + -3)**2 + -5)*1.\nAnswer: -726*sqrt(11) + 12095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 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: Solve 0 = -96*r + 3888 - 169 - 101 + 4254 for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9452490 - -5?\nAnswer: 9452495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = -7. Suppose w*v - 135 = -3*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/94582 and 17\/38?\nAnswer: 94582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 8*p**2 - 11*p + 12. Determine u(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 36 = 2*c. Let f be (-74)\/(-9) + 4\/c. Calculate the highest common factor of 16 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 11*j**7\/1008 + 11*j**6\/180 + j**5\/20 - j**3\/3 - 65*j**2. Let t(y) be the third derivative of f(y). Differentiate t(d) wrt d.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -1.32008588733?\nAnswer: -0.82008588733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 47. Let c = i - 17. Solve -3*s - 5*y = 2, -s + 8 = -4*s - c*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose l - 5*f + 10 = 0, 2*l - 5*l + 2*f + 9 = 0. Let r(a) = -2*a + 5*a - l - 1 - 4*a. Give r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-38)*6)\/2. Let r = f - -2\/19. Let o = 2 + -1. Which is the second biggest value? (a) r (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/23)*h*h)\/h*h)\/h**(-5)*(h\/(h*h**(2\/5))*h)\/h*h*h**(2\/3) assuming h is positive.\nAnswer: h**(2882\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 4099, 21 in increasing order.\nAnswer: -9, -4, 21, 4099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24656 - 8472 = 34*h. What is the remainder when h is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*y - 3*i, 2*y + 10 = 5*i - 9. Solve 2 = -r - g, y*r - 10 = 13*g - 12*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(-14) - (2 + -7). Let b be 22\/(-8) - 1*-2. Sort m, -0.5, b in ascending order.\nAnswer: b, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g - 303. Does 19 divide t(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x - 9*x - 18*x + 15*x - 81*x**2.\nAnswer: -81*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4 - 8*q**3 - 4*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20, -4*l - 1 = -0*f - f. Let d(x) = -29*x**2 + f*x**2 + 22*x**2 + 1. Calculate d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2781 and 27913?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 22. Solve 4*a - 5 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6189 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:46 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -270, -531, -792, -1053?\n\"Answer: -261*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 458 - 231262?\nAnswer: -230703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -432824236 and -0.12368.\nAnswer: -432824236.12368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 10*t**2 + 5*t + 15. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = i - 3, -355*i - 1 = -360*i - 3*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12399, -12390, -12381, -12372, -12363?\n\"Answer: 9*o - 12408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = 268. Suppose j - 11 = 4*d. What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2651*h = -2650*h - 4, 0 = -3*y + 3*h + 78 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294287, -588568, -882851, -1177136, -1471423, -1765712?\nAnswer: -2060003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 178356 divided by -44589\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204 + -31?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 15. Suppose 0 = -3*h - 2*h + 3*r + 100, -3*r - j = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(91)*-1)\/(-4*sqrt(28)\/sqrt(4) + sqrt(70)\/(sqrt(160) - sqrt(10))) + 2.\nAnswer: 2 + 24*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n = -18*n. Solve n = 2*j - 3*f + 1 - 6, 4*j - 2*f = 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -8164?\nAnswer: -8158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**5 - a**4 - 573749*a**3 + 4230656*a wrt a.\nAnswer: -60*a**3 - 12*a**2 - 3442494*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11028096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + 7*h + 5. Let i be s(4). Solve 5*f + 23 = o + 1, -4*f = -o + i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d**2 - 32*d**2 - 5*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1295532 and 105148?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/561 or 58\/6803?\nAnswer: -4\/561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-50)\/(-30))\/(7\/((-700)\/48)) and 5\/((-2400)\/890) - 1\/1?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/14*(-1)\/(-1)*27388\/(-1503)*3.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 0.13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 less than -180715651?\nAnswer: -180715711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five eighths of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and 73\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 + r - 2. Let l be ((-2)\/(-3))\/(3\/9). Suppose -2*g + 17 = -3*z, -l*g - 3*z + 7 + 4 = 0. Let k be t(g). Put k, 2, -4 in decreasing order.\nAnswer: k, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*r = 25 + 2, -4*r = 4. Solve -j - p = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let w = f - -3. Let y = -2 + 4. Solve k + 5*o - 3 = w, 0 = y*k - 6*k - 3*o - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -177*2\/(-48) - -3 and (261\/(-6))\/3 - 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 40*s**3 + 7*s + 18*s**2 + 8*s**2 - 38*s**3 + 14*s**2 in the form r + g*s**3 + v*s**2 + c*s and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 41. Suppose 6*h - d = 4*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)\/(((t*t*(t*(t**12\/t*t*t)\/t)\/t)\/t*t)\/t))\/(t**(-27)*(t*t**(-10)*t*t)\/t) assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 9b0b?\nAnswer: 9b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u*u*u*u)**20\/(u**5*u\/u**(5\/2)))\/((((u*u*u*u**3)\/u)\/u*u)**(-2\/13))**(-3\/11) assuming u is positive.\nAnswer: u**(27539\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 10665*f**2\/2 - 14209776*f + 42677334.\nAnswer: -(f - 3)*(f + 5334)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (-12)\/20 - (-4)\/10. Which is the nearest to -1\/6? (a) 0.5 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20012 = -12*y - 20216. Let r(z) = 10*z + 167. Calculate r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -7 + 2134*j**3 - 5*j - 9\/2*j**2. Let m be l(5). Round m to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -1170, -2650, -4732, -7422, -10726?\nAnswer: -14650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 + (-39730)\/493)\/(1\/17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 0*d + (-3*d + 3*d - 2*d)*(0 + 1 + 0))*(7 - 5 + 6)*(-22*d**4 - 49*d**4 + 15*d**4).\nAnswer: 448*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x + 150 = 31*x. Calculate the common denominator of (-50)\/(-5 - x) - 47\/8 and 7\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 3733 + 557. Calculate the highest common divisor of 30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3100545 is divided by 24035?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-9))\/(4\/(-10)) + 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -8 (c) 0.33 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9750*d**3 - d**2 - 3*d - 2. Let j be c(-2). Round j to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13195, -26406, -39631, -52870?\nAnswer: -66123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.7 - 16.45. Let s = n - 1.05. Which is the closest to 0? (a) -0.4 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*(z\/(z*z**1))\/z)\/(z\/z**(-1)*z*z**(-6)) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -1347, 23, -1 in decreasing order.\nAnswer: 23, -1, -138, -1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -6 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -736, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.04, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24c8 - 59e?\nAnswer: -2a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, j: 10}. What is prob of picking 2 m?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 1, c: 6, t: 2}. What is prob of sequence fct?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016487029 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/4)\/(((-15)\/7665)\/(7\/(-49)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:03 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, 20, -206?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862204 divided by 212.\nAnswer: 4067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + -11 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(4*(-6)\/(-12)). Let p(g) = g**3 - 11*g**2 - 23*g + 3. What are the prime factors of p(s)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 15, m: 5}. Give prob of picking 4 m.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a*i*s**3 - 52*a*i*s - 31*i*s**3 + 6*i*s + 3*s**3 - 2*s**2 + 4*s wrt s?\nAnswer: -42*a*i - 186*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkyk when four letters picked without replacement from {b: 9, y: 2, k: 7}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1860263839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794934504?\nAnswer: 2, 17, 19, 1081631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6778\/(-2) - (0 - -3). Let z = p + 23797\/7. Let t = -2647 + 29173\/11. Find the common denominator of z and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 813 - ((-312)\/702 + (-134)\/(-18)). Let p be 20 + 0 + 3 + 3. Calculate the highest common factor of p and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11588?\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o - 4*o**2)*(0 + 5 - 4)*(2 - 11 - 3) in the form b*o + q*o**2 + c and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:52 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 3. Suppose -5*d + 0*d - 75 = 0. Let x = d - -19. Which is the smallest value? (a) -3\/2 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -47. Calculate the greatest common factor of p and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83056, -166559, -250058, -333553, -417044?\nAnswer: -500531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - 4*y. Let w(q) = 4 - q + 3 - 7 - q**2 - q**3. Let a(t) = l(t) - 4*w(t). Factor a(d).\nAnswer: 3*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 17 + -90 - -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/145 and -57\/5899267.\nAnswer: 29496335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215621 is divided by 432?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -43. Calculate the remainder when v is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.3. Let t = 5 - 7. Let s(i) = 2*i**2 + 10*i + 8. Let h be s(-4). What is the nearest to t in h, n, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbjbljbblbb. What is prob of sequence jjlb?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 64 + 90. Suppose 3*r - 488 = -w. Let b = 50 + r. Calculate the greatest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 1, r: 2, o: 2, z: 1}. Give prob of picking 1 o and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*j + 5697 - 15*j - 5701)*(-2 - 2 + 5).\nAnswer: 46*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (0 + 3))*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/32 and 61\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 12*f - 4*f - 6*f - 18*f)*(-2*f**2 - f**2 + 16*f**2).\nAnswer: -494*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/100 and -113\/50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45788, -46370, -46952, -47534, -48116?\nAnswer: -48698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20014990?\nAnswer: 2, 5, 379, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4398 and 25248918?\nAnswer: 4398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 9*t + 2*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8006096*f. Let w(y) = -3*y**2. Calculate w(h(t)).\nAnswer: -192292719483648*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (814 - 761) + -133 + -6?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from fyo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 94. Let v = -20 + u. Solve 2*l = v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5693*c + 30044. Give h(5).\nAnswer: 1579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/11 and 29\/1769140.\nAnswer: 19460540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 0, 1, 20690, 2 in increasing order.\nAnswer: 0, 1, 2, 4, 6, 20690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 times 0.1478242?\nAnswer: 22.17363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 319 = -d, d + 0*z + 343 = -3*z. Let r = d + 511. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 + 208. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - ((-2)\/(-1) - 1). Suppose 4*t - 9 - 15 = 0. Solve -x = -j + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 6, e: 4, h: 1, q: 3}. What is prob of picking 1 i, 1 g, and 1 q?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 588.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 28. Let z(o) = -o**3 - 3*o**2 + 3*o + 1. Let m be z(-4). Let y be x(m). Solve 2*h + 3*h - y*v = 29, 3*h = 5*v + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(84\/(-16)))\/(20\/(-6))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 6727032*t + 3771079960752.\nAnswer: 3*(t - 1121172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136\/19 - 1028\/133. What is the nearest to 0 in l, -2, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from bppppppp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 94.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -50. Let o = 668\/77 - 62\/7. Which is the closest to l? (a) -2 (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(30\/(-4))*(-1 - 2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2. Let c(x) be the second derivative of -8\/3*x**4 + 0*x**2 + 0 + 18*x + 0*x**3. Give v(c(i)).\nAnswer: -2048*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -49 + 34 - (-1 - 0). Let o be 4\/((-96)\/4)*b\/13. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736.56 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 368. What is l rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4064 (base 12) to base 6\nAnswer: -52204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.961 + -0.039. Which is the second smallest value? (a) -4 (b) o (c) -3\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjqdjddjjqjjqqqqjj. Give prob of sequence djqq.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/300 and 37\/203400?\nAnswer: 203400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0608 from -52.\nAnswer: -52.0608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86509257 to the nearest integer?\nAnswer: 9301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -2448116?\nAnswer: 13\/1224058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30.4 and 25768.858837.\nAnswer: 25799.258837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:47 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 1231.\nAnswer: 13541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.4 + -1.4. Let w = v + -55. Let y = w - -35.0033. What is y rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 = -4*o + 91, 1 = o. Suppose 25 - g = p. Put 7, p, 1 in ascending order.\nAnswer: 1, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3401 is divided by 3356?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.3. Let c = s - -1. Let z = 1 + -0.6. What is the closest to c in z, -1\/4, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.563638 millilitres in litres?\nAnswer: 0.007563638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 19*i**2 - 2*i - 22. What is n(-19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 18 + 3*u**2 - 49.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 16. Suppose -6*u + 21 + 27 = 0. Let j be y(u). Let v(w) = -w**2 - 8*w - 8. Let b be v(j). Is -9 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-24\/7))**6)**(-3\/31) assuming s is positive.\nAnswer: s**(432\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**4)\/(h*h*h*h\/(h*h**(-1\/3)\/h*h*h)*h*h*h))\/(h**(-2\/13)*h\/h**14*h*h*h) assuming h is positive.\nAnswer: h**(110\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1500 and 47000.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/(i*i**(-6))*(i**(1\/4)*i)**13*i*i**3*i\/(i*i**0)*i*i\/i**(-2\/15)*i\/i**0 assuming i is positive.\nAnswer: i**(1583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9*-9*72\/4374*(19\/12)\/(-19)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16135279?\nAnswer: 107, 150797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = -3*f. Suppose 2*u + 4 - 12 = 0. Let z be (-3 + 1)*(-6)\/u. Sort z, -4, f.\nAnswer: -4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32135751.\nAnswer: 3, 599, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276518*x + 276568*x - 900 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723915?\nAnswer: 5, 557, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*l + 2, 5*l - 5 = 4*n - 3*n. Let i(m) = -m**2 + m + 2. Let o be i(n). Suppose 0 = 3*j + g - 70, g + o*g + 54 = 3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -102. Suppose 12 = 4*p + 5*c, 5*p - 6 = -4*c - 0. Sort p, -4, y in ascending order.\nAnswer: y, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.1 (c) 590\/4363 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.8 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*p*s**3 - 150*p - 2*s**4 - s**3 with respect to s.\nAnswer: -117*p*s**2 - 8*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*i**3*k**3*p**3 - i**3*k**3*p - 9*i**3*k**2*p - 4*i*k**3 + p**3 wrt p.\nAnswer: 108*i**3*k**3*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*z - 13, -4 - 12 = h + 3*z. Let p(f) = -5*f + 0*f + 0*f. Let u be p(h). Solve u*g = -6 - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/(t*t**(-2\/53)\/t*t)*(t*t*t**(-1\/4)\/t)**(-16))**(-10\/13) assuming t is positive.\nAnswer: t**(6340\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0 + 0*d + 0*d**5 + 0*d**6 + 7\/24*d**4 + 0*d**3 - 1\/5*d**7 + 31*d**2. What is the second derivative of r(v) wrt v?\nAnswer: -504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183 and 1677?\nAnswer: 102297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5766, 11544, 17328, 23118, 28914?\n\"Answer: 3*g**2 + 5769*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*j**3\/2 - 43*j**2\/2 - 25*j\/2 + 31\/2.\nAnswer: (j - 1)**2*(37*j + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 20*g**2 + 343*g - 59. What are the prime factors of z(-24)?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 15. Let k(x) = 6*x + x**2 + 1 - q + 5 + 2. Calculate the remainder when 18 is divided by k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -q + 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.148, 1, -4, 7, 81?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2)\/(7 + 2424\/(-376)) + (-42)\/(-14))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*q**3 + 83*q**2 + 25*q**3 - 99*q**2 + 12*q.\nAnswer: 4*q*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.803 and -0.2.\nAnswer: 3.1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:03 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 3305786.\nAnswer: 23140502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 7. Let q be p(0). Let l = -7 + q. Solve l = -c + 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*q = -5559 - 5626 + 2399 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -5, 14, 53, 118, 215?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Let k = -1.2 + x. Let o = 0.8 - k. Which is the second smallest value? (a) o (b) 2\/19 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -643 - -642.8165. Let u = -0.0165 + w. Sort 1\/3, u, -11.\nAnswer: -11, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 3*r + 4. Let d(v) = v**2 + 3*v + 4. Let f be d(-3). Let u be z(f). Suppose -4*y - y + 115 = u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.6 + -49.6. What is the closest to r in 12, -8\/13, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 58. Let o = b - 19.05. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (2 - (3 + 2)). Let q(l) = -l**3 + 3. Let o be q(t). Solve -o*s - 1 + 13 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73311242647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 2220 = 2*x. What is the hundreds digit of ((-3)\/4)\/(x\/48544)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -104. Let g(d) = 2*d**3 + 3*d**2 + 2*d + 1. What is g(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -29*o - 11. Let v be b(-1). What is the greatest common factor of 42 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-30)\/(-9))*0. Let g(n) be the third derivative of 0*n**3 + 0*n + u + 1\/240*n**5 - 1\/48*n**4 + 2*n**2. Factor g(k).\nAnswer: k*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -12*m**6\/5 + 53*m**5\/20 + 1461*m**3\/2 + 3971*m. Find the second derivative of x(b) wrt b.\nAnswer: -864*b**2 + 318*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-4)\/r*r*r)\/r)**(-1\/8))**(3\/10)\/((r**(-1))**(1\/16)*r*((r\/r**(1\/3))\/r)\/r*r**0) assuming r is positive.\nAnswer: r**(113\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 10. Calculate the lowest common multiple of j(5) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-12\/11)))**41\/(b**20\/b**(-3\/4)) assuming b is positive.\nAnswer: b**(-4685\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -35. Let o(r) be the second derivative of -r + 0*r**2 + 0 - 1\/3*r**k + 0*r**4 - 1\/20*r**5. What is the second derivative of o(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 19110410899 - 19110410899.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15\/900*-10)\/((-1)\/((-18)\/(-21)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 42. Solve 30 = -4*j + b + 11, 0 = 5*j + h*b + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 261528\/10 - (-36)\/30. Suppose -d - 6851 = -v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 39*j - 15 + 53 - 24 - 42*j. Let d(c) be the first derivative of c**2\/2 - 5*c + 3. What is -17*d(a) - 6*u(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 6*o**2 + o + 4. Let f = 2 - -2. Let t be l(f). Let s be (6\/(-5))\/((-6)\/t). What is the highest common divisor of 32 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67098, 134149, 201110, 267975, 334738, 401393?\nAnswer: 467934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -50, 0.2, 2 in decreasing order.\nAnswer: 2, 0.2, 1\/8, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 78\/4)*(-306)\/(-85). Let i = s - 70. Let r = 5.11 - 0.11. Put i, r, -2 in decreasing order.\nAnswer: r, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(2448) - sqrt(2448)) + (sqrt(68)\/sqrt(4)*6 + sqrt(816)\/sqrt(3))**2.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134838707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 3, 0.5, -1437\/5, -4, -5\/24, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21069 - 695*z**2 - 10530 - 10539 to the form m + a*z**2 + y*z and give a.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(1*3\/288*3). Is -129 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 23. Calculate b(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aac80 - -5?\nAnswer: 1aac85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12 and 157\/3534.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1674*g + 1 - g**2 + 1694*g - 3 in the form b*g + p*g**2 + s and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 19 + 150 = 0. Suppose 0 = -4*x - 5*j + t, 0 = 3*x - 5*j - 5 + 4. Solve -2*s = x*r + 16, 0*r + 2*r + 1 = 3*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-24 - -8) + 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 8:38 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 23*w - 457 = 0, -300*d + 305*d = 5*w + 500 for d.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -5 (c) 4\/61 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240 + 296. Let q = -55.8 + x. Let i = 0 + -1. Which is the fourth smallest value? (a) 0.5 (b) 4 (c) i (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (385\/15*12\/(-16))\/(((-252)\/18)\/(-56)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvs when three letters picked without replacement from usvvvsvuuvvvvvuuvu.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -36*(-3 + 7 + (-3 - 13)). What is the tens digit of w - 5\/15*-15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - 5*p + (1 + 13 + 6)*(p + 3*p - 3*p))*(8*p + 3*p - 4*p).\nAnswer: 126*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 237\/(-9*(3 + 20\/(-6))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 71*p + 2760. Give v(-34).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -12. Solve -4*c - 11 + 34 = -3*b, 0 = t*c + 3*b - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 - 12*c**2 + 9*c + 15. Let p(j) = j**3 - j**2. Let q(d) = -i(d) - 2*p(d). What are the prime factors of q(-14)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10615849, -10615843, -10615833, -10615819?\n\"Answer: 2*n**2 - 10615851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 31674*k**3 - 9*k**2 - 18*k + 9. Let i(p) = 134615*p**3 - 38*p**2 - 76*p + 38. Calculate 9*i(y) - 38*s(y).\nAnswer: 7923*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 23 = 3. Suppose n - 5 = -1. What is the highest common factor of n and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 + 10010011000?\nAnswer: 10000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4689, -9298, -13841, -18318, -22729, -27074, -31353?\nAnswer: -35566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 3*x - 2. Let l be w(4). Suppose l*n = n. Solve n = -7*f + 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -533 (base 12) to base 13.\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -1\/2*n**3 + 39\/2*n**2 - n - 2 + 1\/8*n**4. Let w(c) be the first derivative of g(c). What is w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6134234, -6134229, -6134224, -6134219, -6134214?\nAnswer: -6134209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*n - j, 4*n + 61 - 77 = -4*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1494 or 1473?\nAnswer: 1494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:53 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11943441569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.399 and 7.86.\nAnswer: 73.87614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 114 + 333. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((-5138)\/(-13104) + (-3)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*((sqrt(475) - (sqrt(475) + -2)) + sqrt(475)))**2 - (sqrt(114)*2*2)\/((2*sqrt(42))\/sqrt(7)).\nAnswer: 7998*sqrt(19) + 191600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5314 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-258))\/((-9)\/(-6)). Let i = 1351879 - 871962208\/645. Let j = i + o. What is the third smallest value in 5, j, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, o: 1, l: 7, z: 1}. Give prob of sequence oz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 16*t - 13. Let m be l(2). Let z(n) be the first derivative of 1\/3*n**3 + 5 - m*n + 1\/2*n**2. Give z(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:03 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -4, -5, 60, 8 in descending order.\nAnswer: 60, 8, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 76 + -36 + -16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - -2) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 992 - (2\/8 + (-42)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:53 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 + 17*f**2\/2 + 43*f - 26. What is the units digit of r(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*h = 2169 + 1317 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1736 and 1119224?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69 + -8)\/(63\/18))\/(0 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukfulyyuyf. Give prob of sequence kf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 21442?\nAnswer: 21454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10001101?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2209*l - 2535*l - 526584 for l.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 112212111200?\nAnswer: 112212111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 812 + -754. Solve -89*g + s*g + 3*g**2 - 238 + 355 - 89*g = 0 for g.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, 2, -0.151, -0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 7.16 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(45)\/sqrt(108))\/(3*(sqrt(3)*-2 + sqrt(3)) - sqrt(3) - -1*sqrt(3)*5).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 1 = -12*w - 4*f, 2*w + 3*f = 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1962822 and -30\/5263.\nAnswer: 37293618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22025 and 454885826.\nAnswer: 454863801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s. Let c(x) be the third derivative of -53*x**5\/15 - 8809*x**2. Calculate c(m(h)).\nAnswer: -41552*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -457 + 421. Let r be (-4 - (-15)\/5) + 8. Let y = -2 + r. Solve 2*v - y*w + 1 = 3*v, 0 = -n*v + 2*w + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00233 + -0.20233. Sort 2, -5, q, 6, -0.07 in increasing order.\nAnswer: -5, q, -0.07, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46206*n - 50319.\nAnswer: 46206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*w**4 + 17*w**4 + w + 19*w**4 + 0*w**4 + 3*w**4 + w**4 + (0 + 3*w + 0)*(-w**3 - 4*w**3 + 2*w**3) + 2*w**4 + 3*w**4 - 4*w**4.\nAnswer: 47*w**4 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -2*p - 80 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-5 + 5 + 4*m + (2 - 5 + 1)*(-3*m - m + 3*m) - 3*m + 5*m + 0*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 244*i - 299*i - 24*i)*(2*i**2 + 2*i - 2*i).\nAnswer: -1134*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 56*a - 1224. Let f be g(22). What is the greatest common divisor of f and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2)\/16*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 24*a - 11 - 23*a to the form v + l*a and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.02, -6, 8494, 0.2, -31?\nAnswer: 8494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -145.1? (a) 0.5 (b) -1\/2 (c) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 2*w = 2*s - 80, -29*w - 40 = -33*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3929 + 5748. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011031882 rounded to 7 dps?\nAnswer: 0.0001103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8027 - 27210250483\nAnswer: -27210242456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**25)**47)**21 assuming h is positive.\nAnswer: h**24675","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 4, r: 2}. What is prob of sequence rbr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010 (base 2) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117386, -233904, -350422?\n\"Answer: -116518*l - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzppz. Give prob of picking 1 z and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-2 - (7 - 9) - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39336237.\nAnswer: 3, 4370693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -7. Let s = i - 4. Solve -2*p - 4*t - 8 + 30 = 0, -5*t = -s*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37900 or 42117?\nAnswer: 37900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 43. Suppose 0 = m*i - 22*i + 28. Suppose 3*d - 4*c + 7 = -2, -5*d + i*c - 7 = 0. Put -5, d, 4, -7 in descending order.\nAnswer: 4, d, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36112 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 672065845 and -233246.\nAnswer: 671832599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 103*v - 1264. Determine a(-86).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 77*q**2 + 6. Let n be (0 + 2)\/(16\/48). Let a(k) = -13*k**2 - 1. Let s(h) = n*m(h) + 34*a(h). List the prime factors of s(-2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3475709838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2274 - 2274.5. What is the closest to 2.6 in -2, -5, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3 = 3*t - 5, -4*l + 54*t - 53*t - 12 + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 + -321. Let t(n) = 37*n + 8 - 8. What is the remainder when t(2) is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21. Suppose 3*o - 234 + 58 = -4*h, b = 5*o. Let z = h - 41. Which is greater: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2*20\/(-45))\/((-25)\/(-4125)*110).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*s - 224*s + 17940 = 0. What is the lowest common multiple of 69 and s?\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77, -202, -389, -638, -949, -1322?\n\"Answer: -31*c**2 - 32*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(3\/2)))\/c*c*c**(3\/29))\/((c**(-1)*c)\/(c*c**(-6\/19)*c*c*c*c)) assuming c is positive.\nAnswer: c**(6929\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 3b0673?\nAnswer: -3b0672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633359157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.8, 3, 8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/25)*w**23 assuming w is positive.\nAnswer: w**(572\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 28, 5\/3, 4, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1 + (-2 + 0 + 3)*(1 + 0 - 13))*(0 + 2*b + 0).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 4095.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 205492 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.5, 0.3, -64?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0995 - -0.7405. Let i = -49.359 - m. What is the third smallest value in 2\/7, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 6*q - 20. Suppose 11*u + 6 + q = 0. Is 0 - (0 + u - (-2760)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 6*t**2 + 4*t - 7. Let j(k) = -2*k**3 - 13*k**2 + 8*k - 15. Let c(f) = -2*j(f) + 5*w(f). Let z be c(-5). Factor 0 + z*p - 2\/3*p**2.\nAnswer: -2*p**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = 4*s, -22*h - 5*s - 14 = -23*h. Solve 33 = -h*f + 5*v, 0 = -2*f - 7*v + 6*v + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 606*h - 606*h + 10*h**2 in the form g + u*h + l*h**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 77*k**4 - 3*k**3 + 113. Let z(a) = 77*a**4 - 4*a**3 + 113. Let i(w) = 4*f(w) - 3*z(w). Find the first derivative of i(q) wrt q.\nAnswer: 308*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*t + 207, t + 343 = -4*t + 3*d. Let p = t - -118. Find the second derivative of -2*s - p*s**4 + 50*s**4 + 8*s**5 wrt s.\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -0*n - 19*n. Let a = -21 + 29. Calculate the highest common divisor of a and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6524 and -59\/308.\nAnswer: 71764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9713423507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 + 312*u**4 + 5185*u**3 - 5599032*u**2 - 5184*u + 5598720 = 0. What is u?\nAnswer: -120, -1, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178954996.\nAnswer: 2, 3, 43, 4222781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 19*c - 2 - 8*c)*(27*c + 14*c - 26*c).\nAnswer: 165*c**2 - 75*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 589457083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-40)\/3)*(-168)\/8694*-23\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*z + 41*z**2 - 287*z**3 + 286*z**3 - 30*z + 36*z**2 - 77.\nAnswer: -(z - 77)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2\/3*v - v**2 + 0 + 1\/3*v**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 29 = -5. Solve -3 = -k*a + 2*g + 1, 0 = -3*a + g + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 390 = 450. Calculate the greatest common divisor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 23 = 26*p. List the prime factors of ((-2 - -79) + 3)*(-13 - p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1085 and 37\/151935.\nAnswer: 4709985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5983.0347829297568 - -0.0347796607568. Let d = t - -5983. What is d rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**4 + 4*o**3 + 10*o**2 + 4. Let v(p) = -p**4 + p**3 + 1. Let y(n) = -s(n) + 4*v(n). Find the third derivative of y(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 40\/3151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than 240\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(0*g**3 + 13*g**3 + g**3 + (g - 5*g + 3*g)*(-4*g**2 + 8 - 8))*(-3*g + 0*g + 2*g).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.5 (b) 6 (c) -1 (d) -28\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 47*c + 3. Let b(g) = 34*g**2. Calculate b(a(x)).\nAnswer: 75106*x**2 + 9588*x + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a43 (base 12) to base 5.\nAnswer: 203200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 5 + 5)*(-2*r + 3*r + 2*r)*(0 - 2*r + 0).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -24*d - 516. Calculate u(-18).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651378 is divided by 652?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k**3 - 5*k - 4. What are the prime factors of x(-3)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 19*v**2 + 20*v - 24. Let d be u(18). Solve 6*p + 0 + d = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oagyygzzgozr. Give prob of sequence yz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6672?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 160*n - 332*n + 144*n + (6 - 4 + 0)*(3 - 3 - 2*n).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/7)\/g*g\/g**2 assuming g is positive.\nAnswer: g**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 66088 = -z, 41671 + 24420 = 5*n + 2*z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let j(u) be the third derivative of u**4\/2 + u**2 + 4*u. Determine 78*g(x) + 6*j(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 25 = 13*t - 24*t. Which is the biggest value? (a) t (b) -7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 297*j + 250. What is l(-98)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 58*i. Let u(g) = 7*g + 3. Let j(b) = -12*b - 4. Let o(f) = -3*j(f) - 4*u(f). Determine o(l(t)).\nAnswer: 464*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38550504467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012002478185 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + 0.02. Let w = 0.03 + n. Let v = 0.00999971 + w. Round v to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 + 29232\/(-462))*(1 - 3\/2).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.2128167 to three dps.\nAnswer: 57.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Is m greater than or equal to 14\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -45*k + 4. Give h(2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 103*x. Let f(n) = -593*n**2 + 5*n - 1. Calculate f(r(z)).\nAnswer: -6291137*z**2 + 515*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c**2 - 100*c + 1100. Determine m(9).\nAnswer: 1415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*u = -6, 2*k - 12 = 32*u - 36*u. Let s(j) = -j + 11. Give s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 8*z**2 + 7*z + 3. Let o be d(5). Let g be 7266\/(-33) + 16\/o. Round g to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*w - 9, -7*j = -3*j - 5*w - 29. Let z = -515 + 545. What is the highest common factor of z and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 44*r**2 + r - 77. Determine u(22).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4671 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13847\/72 < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 = -4. Let w = -6 + g. Let h(o) = 2*o + 2. Does 5 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -593*y**2 + 28*y - 1. Let k be m(-5). Is 2\/11 + (-30)\/220*k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*m**2 + c**4*m + 44*c**3*m**2 + c**2*m**2 - 2*m**2 + 2*m wrt c?\nAnswer: 24*c*m**2 + 24*c*m + 264*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/8 and (-927)\/54 - (0 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(8456\/30 + (-10)\/(-75)). Let q be u\/(-5) - 6\/(-15). What is the tens digit of (q\/(-6))\/(18\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 3*i**2 - 3*i**2 + (1 - 1 - i)*(i - i + 15*i) + (-2*i + i**2 + 2*i)*(-2 + 6 - 2).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/2 (c) 2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -821*b**3*d**2*v - 91*b**3*d + 2*b**3 + 56624*b**2*d + 2*b*d**2*v wrt b?\nAnswer: -4926*d**2*v - 546*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 382575 + 2*j - 382575. Let f(s) = 246*s**2. What is n(f(o))?\nAnswer: 492*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7384.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhyhhy?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d - 21. Let r be u(6). Suppose -8*c + 0*c + 128 = 0. Let h(s) = s + r + 7 - c. What is h(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:14 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 + -110?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1290 and 516.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*f = 14, -2*o + o + 5*f = 16. Let n(h) = 4*h**3 + 5*h**2 + 3*h - 2. Let t(z) = z**3 + z**2 + z - 1. Calculate o*n(q) + 5*t(q).\nAnswer: q**3 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 233 + 220 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 6. Suppose -v + n*v = 0. Is -1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 4, n: 16}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 261637*r - 3139661. What is v(12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/4393 and -87\/1564.\nAnswer: 298724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and (0 - (-222)\/(-620)) + (-63)\/(-105).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmjdpdjsdrjjmdj. Give prob of sequence dspp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111850.\nAnswer: 2, 5, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose 1 = y - 3*r, -y = p*y + 2*r - 14. Suppose m = y*c - 47, 15 = c + 2*m + m. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m*m*m\/(m**(3\/7)\/m))\/m)\/m*m)\/m**(-1\/3))**26 assuming m is positive.\nAnswer: m**(2132\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710544524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74100988769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -431\/402?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 35*c + 5*c = 728 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*f - 83*f. Let k be 0 - (-1)\/(1\/1). Which is the nearest to f? (a) -3 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 747, 921, 1385, 2283, 3759, 5957, 9021?\n\"Answer: 24*m**3 + m**2 + 3*m + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 323784.\nAnswer: -4856760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*((-4*(-1 + sqrt(17) + sqrt(17)))**2 - -6*(sqrt(17) + (sqrt(34)\/sqrt(2))**2)).\nAnswer: -580*sqrt(17) + 12060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 191501?\nAnswer: 1914d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-7 - 9\/((-9)\/(-4))). What is the remainder when ((-2)\/12*14)\/(r\/(-384)) is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.31374 + 1.23474. Let f = 86 + n. Which is bigger: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116867\/5 - 23374. Which is the third biggest value? (a) -34 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201153328.\nAnswer: 2, 97, 773939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5249 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3*g + 5. Suppose -3*c - 2*s = -4, -3*c - 16 = -5*s + 15. Calculate the remainder when g is divided by c*(20\/(-8) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 2 - 2)*(-145166 - 347*d**3 + 145166) to z*d + y + j*d**4 + x*d**2 + l*d**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*c - 420*c = -8 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -64. Let s = -22.582857082 + -0.417143508. Let z = p + s. Round z to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 33. Let v be (x + 15\/(-4))\/((-3)\/12). Suppose 2*n - 459 = -v. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by 1.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -0.3. Let x = j + 1.8. Let g = x + 0.1. Which is smaller: 0.6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213272*u**3 - 3*u**2 - 3*u + 106810*u**3 + 106458*u**3 + 0*u + 3*u**2.\nAnswer: -4*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111011110 (base 2) to base 15.\nAnswer: -d78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4)*4)\/(sqrt(200)*1).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16449 + -16398. Solve -i - s = -4, 49*i = m*i + s - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 + 115. Let b = s + 39. Let 4 - 162*i**2 + 2*i + 161*i**2 - b = 0. What is i?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518720989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 891 + -892. Does 44 divide 6 - ((3010\/5)\/(-2) + q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 + 7. Let j be 114\/104 - (-18)\/117. Which is the nearest to k? (a) 4 (b) j (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)*i)*i)**(-27)*(i*i**1)\/i*i**15 assuming i is positive.\nAnswer: i**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j - 118. Let y be q(36). Let x = y - 495. Which is the biggest value? (a) 1\/4 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 753857?\nAnswer: -5\/753857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1592.9566079?\nAnswer: -1593.2566079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264498 rounded to the nearest 1000?\nAnswer: 2264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92164227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 277, 26?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 - -112. Let w be 30\/(-4)*h\/69. Solve d + w = -5*p, -6 - 9 = -3*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 822338155 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 273?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, b: 1, e: 3, m: 7}. What is prob of sequence ebmn?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 1, a: 2, m: 2, r: 1}. Give prob of picking 2 k and 2 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 34643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -12. Let i(y) = -4*y - 4. Let q be i(f). Solve 1 - q = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3*2025\/540*836\/95.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtan when four letters picked without replacement from altlgaagnaaaatann?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/6 + 2*1. Let t = -14 - q. Solve t*s + 8 = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7679*b**2 + 12914*b**2 + 57058*b**2.\nAnswer: 62293*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 551*g - 2786. Give w(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2456512719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 8. Let c(g) = -9*g - 13. Calculate the remainder when n(16) is divided by c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403017*j**3*n**3 + 1186884*j**2*n**3 wrt j.\nAnswer: 2418102*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w = 4402 - 1546. Solve -4 - w = 19*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.275511l?\nAnswer: 5275.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 15.6. What is the nearest to a in -0.4, -0.3, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/(j\/j**(1\/4))*((j\/(j\/(j*(j*(j**(-1)*j)\/j)\/j*j*j)))\/j)**16)\/(j**2\/(j\/(j\/j**(-1\/3))*j))**4 assuming j is positive.\nAnswer: j**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 9*d**2 - d - 8. Let o = 4 + -13. Let z be b(o). Calculate the remainder when (-11)\/(-3) + z\/3 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*j, -2*j = -2*q - 4*j - 4. Let p be 357\/(-459) - (-2 - -1). Which is the closest to p? (a) 0 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312\/5 less than 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69485 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3 + 318*y**2 - 4*y - 8 wrt y.\nAnswer: 18*y + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*v + 6, -2*g - 2*g = 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.38433449 to 1 decimal place.\nAnswer: 19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f**(-4))**(-8) assuming f is positive.\nAnswer: f**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 15 + (-1)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 383, 1337, 3187, 6233, 10775, 17113?\n\"Answer: 50*t**3 - 2*t**2 + 14*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 13 = 7, z - 34 = -4*d for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 15. Let p be d - (3 + -2) - 1. Suppose 5 = -10*g + p*g. Let n(v) = 7*v**3 + v**2. Determine n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 594, 890, 1186, 1482?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2\/5*a**5 + 0*a**4 - 5*a**2 - 3*a**3 - 11 + 0*a. Find the second derivative of b(h) wrt h.\nAnswer: 24*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9*x - 5. Let h be s(10). Suppose 6 + 9 = h*l + 5*b, -5*l = -b - 27. Let p = 0.01 - 4.01. Put l, p, -2 in ascending order.\nAnswer: p, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) + (-94)\/4. Let w(a) = 5*a - 6. Let f(k) = 20*k - 25. Let j(l) = o*w(l) + 6*f(l). Let g(q) be the second derivative of -q**3\/6 - q. Give j(g(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d (base 15) to base 10.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14257983629 - -110\nAnswer: -14257983519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 167*n**2 + 11*n + 11. Determine t(-1).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1860.002282 + 1860. What is x rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(1\/(1 - 4)). Suppose 0 = 3*w - 15 - 54. What is the greatest common factor of w and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2787 and 5205187?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**3*m**3 - 55*i**3*m**2 + 12*i**3 + 2*i**2 - 127859*i*m**3 wrt i.\nAnswer: -48*m**3 - 330*m**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 27*r - 19. Let k(o) = 26*o - 18. Let z(n) = -3*k(n) + 4*y(n). What is the units digit of z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 27 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0668 + 0.2322. Let d = -0.298681 + l. What is d rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 minus -0.03?\nAnswer: 306.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 86, -4\/9, -0.061.\nAnswer: -6, -4\/9, -0.061, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*b - 5*b**2 + 126*b - 25*b**3 - 71*b + 1 + 2*b**2 as v*b**2 + y + w*b**3 + o*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 38*s - 204. Let p be q(31). Solve -5*z - 32 = 4*x - 0*z, x - 4*z - p = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118416582 and 1290?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + w - 234 = 0, 2*v = 3*w - 163. Let k = v + 695\/9. What is the nearest to -0.1 in k, 0.5, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 5. Let y(k) be the first derivative of k**3 - 4*k + 9. Calculate 4*x(z) - 5*y(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2550, -2535, -2500, -2439, -2346, -2215, -2040?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.206*0.61\nAnswer: 0.12566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1256 - -0.1256. What is the nearest to f in -33, -2, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-481 - 422 - 9)*(-2*k + 0*k + 4*k)*(k - 2*k + 0*k).\nAnswer: 1824*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((-15)\/10)*(-18960)\/(-32) is divided by 143.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5121576 hours to days.\nAnswer: 0.0213399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*i + 1554 = 12 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 26. Put w, -4, -2.4, -0.5 in decreasing order.\nAnswer: w, -0.5, -2.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4427696 and 10192?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 25. Let j(u) = 138*u + 10 - 149*u + u**2 + 5. Let b be j(10). What is the highest common divisor of b and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 - (-205568)\/160 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 12*r - 8. Let p be v(-6). Let s = -24 + p. Let u be (-184)\/s*1*-1. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*k = 18, -k + 12 = -4*v - 4*k for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -5521?\nAnswer: 5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) - (sqrt(152) + sqrt(152)*1*-1 - sqrt(152))) + sqrt(152))\/sqrt(8) - (((sqrt(76)\/(-1*sqrt(4)))**2 - sqrt(19)) + -4))*-1 + -5.\nAnswer: -5*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 530194.1 millennia?\nAnswer: 5301941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 not equal to -1652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.210738632 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*6\/(-9)*18\/(-8). Suppose -f - h*f = -1476. Suppose -115 - f = -4*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -63. Suppose f + 2*f - z = 2*q, 0 = q - 5*f + 12. Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 306999, 306992, 306981, 306966?\n\"Answer: -2*y**2 - y + 307002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*d**2 + 65*d**2 - 54*d**2)*(10*d**2 - 5*d**2 - 2*d**2).\nAnswer: -150*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 5*c - 5. Let r be (15\/(675\/(-18)))\/((-2)\/20). Suppose -n = -t + 3*t, -8 = -r*n - 4*t. What is k(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 514080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:04 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*j**2 - 101 + 3*j**4 - 198*j**2)*(6*j - 128 + 128 + (0*j - 2*j + j)*(2 + 0 - 4)).\nAnswer: 24*j**5 - 808*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265752, 2531602, 3797564, 5063632, 6329800, 7596062, 8862412, 10128844?\nAnswer: 11395352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + 231. Suppose 12*v - u = 4*v. Suppose -o - 4*o + 94 = 3*d, 2*o = -4*d + v. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 0*r + r**2 + 2*r. Let x be l(-3). Let t(w) = 2*w**2 - 7*w + 5. Is t(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1404)*77 - ((-960)\/216)\/(-20). Let x(i) = -i**2 - 6*i + 3. Let r be x(-6). Suppose 2*u = -4*b + 8, r*b + u - 8 = -u. Does a = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 25, 55, 97, 151, 217?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 46\/5 of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 1. Suppose 7 + t = p. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25133\/6 - 4226. Let v = j + 289\/8. What is the common denominator of v and 28\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**5 - 29*d**4 - 6*d**3 + 6*d**2 - d + 39. Let s(g) = g**4 - g**3 + g**2 + 1. Let x(t) = -m(t) + 6*s(t). Find the second derivative of x(n) wrt n.\nAnswer: -40*n**3 + 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.19202252128321 and -14.\nAnswer: -13.80797747871679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5972\/791 - 21\/226. What is the common denominator of 3*((-117)\/(-88) + -1) and l?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 1. Let o be u(-2). Let s = -3 - 7. Let j be (12\/10)\/(s\/25). What is the smallest value in j, o, 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 1 + (7 - 5). Let g be -1*y\/10*-15. What is the units digit of g - (-2 - -4) - -44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*32\/(-480).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 49, 141, 269, 433?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhvhhhvvhhhhhvhvhhh. Give prob of picking 2 v and 1 h.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.5, -19, 0.287, 5, -3 in increasing order.\nAnswer: -19, -12, -3, 0.287, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + 5. Is z at most as big as 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033444 rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13161, 52635, 118421, 210513, 328905, 473591, 644565?\n\"Answer: -h**3 + 13162*h**2 - 5*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-297)\/1452 - (-3)\/(-66))*(-1 - 1964155) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1352 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i + 5*i - 15 - i + 0*i. Is l(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67221 + -935.\nAnswer: -68156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 + 12 = 3*m, m = 2*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggsgvsggsvgvvgsg. Give prob of picking 2 g.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from oogmmmm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*r - 15629*j + 1 - 1 = -15630*j, 36*r = 3*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 342\/66 - (-21760)\/158400\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 201 = 3*n, -4*h + 229*n + 129 = 232*n for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(11\/5)*i**(-2\/7))\/(i**17*i**(3\/17)))**(1\/23) assuming i is positive.\nAnswer: i**(-9081\/13685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4115 + 4115. What is the closest to y in 0.5, -12, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(8)\/sqrt(2)) - (sqrt(35)\/(sqrt(5) + sqrt(125)) + sqrt(7)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*p**(-12))\/p))*p**(-8))**(-5\/18)*((p\/(p\/(p\/(p*((p*p**(-1\/2)\/p)\/p*p)\/p))))\/p)**(-6)*(p**(2\/5))**(-28) assuming p is positive.\nAnswer: p**(-389\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 47*f + 49 = 0. Let b(g) = 18*g**2 + 16*g + 93. List the prime factors of b(f).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58917.7 to the nearest one hundred.\nAnswer: -58900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u + 2. Let b(a) = -4*a**3 - 2*a**2 + a. Let c be b(1). Let q be k(c). Does 8 divide (-40)\/(-6)*q\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + 2*d + 2. Let o be g(-2). Suppose 0 = -p + 3 - 6. Let u be 5*(-5 - (-33)\/15 - p). Are u and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 681562181 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2073*o**3 - 11*o**2 - 5*o**2 + 22*o**2.\nAnswer: 2073*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 88*f - 2129 + 2671, -3*m + 2*f = -33 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o + 11. Let h be (-1)\/2*(-15 - (4 + -7)). Let p(q) = 4*q - 10. Let r(z) = h*p(z) + 5*f(z). Give r(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (-1 + 0) - (124 + -132)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*c + 835, 4*c + c = -3*w - 2010. What are the prime factors of c\/(-21) + (-4)\/14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*u**2 - 4*u + 4*u.\nAnswer: 1069*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15132493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(2\/5)*v)\/v)**(-1\/19)*(v**(-1\/3))**(-3\/10))**(-11\/3) assuming v is positive.\nAnswer: v**(11\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -184?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 3479089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 304 = -0*n + 2*n, 0 = 5*n. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 178\/44)*13\/((-195)\/(-10)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 - 3948*o**2 + 6171360*o - 1614084800 = 0.\nAnswer: -1907, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26443, 52889, 79335, 105781, 132227?\nAnswer: 158673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3)\/6*(3 - 0). Put -0.06, y, -2\/3 in decreasing order.\nAnswer: -0.06, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6870406ns in minutes?\nAnswer: 0.00000000004478401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8507737 and 4861564.\nAnswer: 34030948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595689.\nAnswer: 3, 29, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 745.1596ug?\nAnswer: 0.0000000007451596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.231977174 + -18787.771822826. Let w = p + 18760. Let n = 28 + w. What is n rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 23*k - 23 + 2*k**3 + 17*k - k**4 to the form t*k + a + h*k**4 + y*k**3 + s*k**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 46. Let o be m(20). Let f(t) = 4*t**2 + 28*t - 10. Let b(g) = g**2 + 9*g - 3. Let n(j) = -7*b(j) + 2*f(j). Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20192)\/(-6) + 12\/18. Suppose 2*p + 1137 = n, -3*n + 0*p + d = 3*p. Is (n\/(-21))\/((-1)\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -36940966194458.\nAnswer: -36940966194468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17852820 divided by -4463205\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/45)\/(26\/(-7410)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11844, -23701, -35560, -47421, -59284, -71149, -83016?\n\"Answer: -y**2 - 11854*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i = -4652907 + 4654923 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191400594 and 4268?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 16*x**4 - 18*x - 3*x**2 + 5*x**4 + 12*x**4.\nAnswer: x*(x - 2)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcr when three letters picked without replacement from ckckr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 9*c**2 + 7*c - 8. Let l be g(-5). What is the greatest common divisor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35126 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -0*w, -x = -3*w - 27. Suppose -3*s + 4*h + 63 = 0, -h = -4*s - 4*h + 84. Let m = s + -5. What is the remainder when x is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4010.207 minutes to nanoseconds.\nAnswer: 240612420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -120112 (base 3) to base 5\nAnswer: -3134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + -23 + -2 + (66 - 43) - 35.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, -15255.\nAnswer: -15255, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 2 + 6*r**2 - 1902*r**4 + 1899*r**4 + 0*r in the form f*r + g*r**3 + l*r**4 + z + u*r**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from mmzzmzmzzmmmzmzmzzzz?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 432*s + 429*s = 34425, -w - s = -11487. Is 267 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.087562911 and -4.\nAnswer: -0.912437089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2540*s + 8793*s + 17730*s - 1 as w*s + a and give w.\nAnswer: 29063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33425143, -33425149, -33425155?\n\"Answer: -6*f - 33425137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 3. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -105. Calculate the remainder when j is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47770422259 less than -110?\nAnswer: -47770422369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -147517*v**2. Let j(o) = -2*o**2. Determine j(x(r)).\nAnswer: -43522530578*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9895*b + 84. Is p(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 9*l - 10. Let p(a) = -a**3 + 6*a**2 + 10*a - 2. Let y be p(7). Suppose 2*j = -4*f - 24, 5*j - 2*j - 5*f - y = 0. Are l and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 37. Let k be s(11). Let y(v) = -v - 17. What is y(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*g**2*l**4 - g**2*l - 164*g**2 wrt l?\nAnswer: -140*g**2*l**3 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10184513531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 8*x + 7. Give v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/10 + 67*y**3\/10 - 198*y**2\/5 - 12474*y\/5 - 10584 = 0?\nAnswer: -12, -5, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 - 9535*x**4 + 47652*x**3 - 19040*x**2 - 190624*x + 228720 = 0. Calculate x.\nAnswer: -2, 2, 3, 9530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -6*r**4 - 61*r**3\/6 + 72*r. Find the second derivative of f(c) wrt c.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = s + 3*u, -2*s + 3*u - 193 = -0*s. Let h = -2558 + 2582. Let a = h - s. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*13\/65*-6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1460, -1459, -1458, -1457, -1456, -1455?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12258 divided by -6.\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**5 - 318*i**3 - 1165*i**2*t**2 - 67*i*t**2 - 957*i*t - 8*i - t**2 wrt i?\nAnswer: -60*i**3 - 1908*i - 2330*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 2145 + 28*u**3 + 2163 - 8*u**2 - 4308.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -28 - (0 + 12 + (-6 - 17))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 412*t = -421*t, 3*z - t - 48 = -24 - 164 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*n - 5*j - 20, -4*n + 2*j = -26. Let l(g) = g**3 - 5*g**2 - 6. Let o(b) = -b**3 + 6*b**2 + 7. Give n*o(t) + 7*l(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Let j(l) = -6*l**2 + l. Determine j(d(k)).\nAnswer: -24*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 500 - 4999\/10. Let z = 0.3 + 0.2. Which is the second smallest value? (a) z (b) -1\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}