diff --git "a/data/dm_maths/full_data_1/10998_11255.jsonl" "b/data/dm_maths/full_data_1/10998_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10998_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate 4 + (4 - 7) + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8289 is divided by 319.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 1\/2 (c) 5.2 (d) 1 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -609336657 divided by -1?\nAnswer: 609336657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 80201646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000961729 rounded to five dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6, 2*x - b + 6*b = -25. Let p be 19\/38*4\/7. Let q be 10\/(-16) + ((-150)\/(-24) - 6). What is the biggest value in q, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*u + 6*u**2 - 147*u)*(-5*u + u + 2*u)*(-2020*u**2 + 983*u**2 + 953*u**2).\nAnswer: 1008*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 128*f + 73*f = 8*p + 218, -7*f + 262 = -2*f + 3*p for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 35. Let r(n) = 4*n + 1 - 21 + 2*n**2 + x - 7. Does 22 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70395*j + 3 - 2 + 6 + 1.\nAnswer: -70395*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:11 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167449203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 42*w + 74948. Determine t(253).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.744 + -18.914. Which is the closest to -0.2? (a) z (b) 1\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 52, 39, 20?\n\"Answer: -3*i**2 + 2*i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000354 to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 2*h**4 - 2*h**4)*(h - 5 + 5) + h**5 - h**5 - h**5 - 10*h**5 - 3*h**5 - 2*h**5.\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-1)\/(5*(-1)\/(-2)). Put -5\/11, w, 3 in decreasing order.\nAnswer: 3, -5\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 11*u - 5*u. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5692302 and 461538.\nAnswer: 17076906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n**2 + 674*n + 1324. What is v(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - 2) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14003\/20 - -697. Find the common denominator of s and 109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555569321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/(273\/546).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.664 + -141.385. Let y = -162.6 - m. Round y to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-92)\/(-6))\/(-23))\/(2*1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*t + 22, 4*t + 15 = -3*w + 5. Determine b so that 0*b + 1\/3*b**4 + 0*b**w + 1\/3*b**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:14 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 != -4175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 103 - 99 - (-4 + 2). Let t(w) = 2*w**3 - w**3 + 2*w - 6*w**2 + 3*w - 10. What is the smallest common multiple of t(j) and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156347265.\nAnswer: 3, 5, 29, 359419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*((sqrt(288) - (sqrt(288) + -2 + sqrt(288) + sqrt(288))) + sqrt(288) + -1 - (sqrt(288) + -4*(2 + sqrt(288)) - sqrt(288))))**2 + 4).\nAnswer: 116640*sqrt(2) + 481160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 4376*t**2 + 2003*t - 8404. What is the derivative of s(d) wrt d?\nAnswer: 8752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:14 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5157 is divided by 2330.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 5*o**4\/12 + 3*o**3\/2 - o**2\/2 - 2*o - 7. What is the units digit of k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*h = -296*h + 15*h - 3053 - 27141 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5569*u**3 - 2605*u**3 - 12024*u**3 - 39795*u**3)*(u**2 + 0*u**2 + 0*u**2).\nAnswer: -48855*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -416 in ascending order.\nAnswer: -416, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1309 = -9*k. Let b = -129 + k. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**4\/6 + 115*i**3\/6 + 18*i**2. What is the units digit of z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(8)\/sqrt(4) - (sqrt(8) + sqrt(8)*1 + sqrt(2))**2)*2.\nAnswer: -100 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:45 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + 5. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 5*z - 1. Let d be l(4). Let r = 163 + -1139\/7. What is the smallest value in r, d, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b7 + b9?\nAnswer: -6ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 152, 228, 304, 380?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + 4*(3*sqrt(114) + sqrt(114)) + sqrt(114))\/sqrt(6).\nAnswer: 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 - -2 - 1). Let p = 1.73 + -1.93. Suppose -2*q - 4 = -w, -4*q + 2*w + 10 = -6*q. What is the biggest value in p, 0.3, q, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p - 5. Let r(i) = -i**3 - 2*i**2 + 8*i + 5. Let q be r(-4). Let j be x(q). Let o(b) = -b**2 + 4. Give o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4269, 1\/7, 2241?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589176 is divided by 1446?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*l**5 - 162*l**3 - 101*l**3 - 588*l + 186*l**4 - 832*l**3 - 1876*l**2 - 860*l**5 + 427*l**5 = 0 for l.\nAnswer: -1, -3\/7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/372 and -95\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 63, 74, 47, -30, -169?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 l when three letters picked without replacement from {k: 1, b: 4, s: 1, l: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -413*u**3 - 12*u**2 - 6*u. Let v(n) = 414*n**3 + 14*n**2 + 7*n. Give 7*m(z) + 6*v(z).\nAnswer: -407*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3 - 0, -2*f = 4*d + 22. Calculate the remainder when (2 - 407)*4*1\/d is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - d = 5*f - 2, -2*f - 5*d - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/621 less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 + 486*l**4 - 1931*l**3 + 1446*l**2 = 0.\nAnswer: 0, 1, 3, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/7 (c) -10 (d) 1.38 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -188 (c) 1208\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3860, 4715, 5568, 6419, 7268, 8115, 8960?\nAnswer: 9803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 113 = 4*q, -i - 2*i = 3*q - 141. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 y when four letters picked without replacement from {y: 17, g: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7159 + 20894. Suppose -6217 = -16*q + a. What are the prime factors of q?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (-4 - (33 - 28) - -28)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 9*o**2 + 4*o - 58. Calculate b(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*91\/(-52) - -6)*(1 - -5). Let l(r) = 7*r**2 + 7 - 27*r - 6*r**2 + 11*r + 1. Calculate l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.15 - -5. Let s = 0.28 + k. What is s rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryrrryrrccrrrrr. What is prob of picking 1 y, 2 c, and 1 r?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*s = -108*s + 13755 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(5\/6)*u**(-30))\/(u**(-5)*u*u**7*u))**(-2\/7) assuming u is positive.\nAnswer: u**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 - 4*o**3 + 2*o**3 + (-6*o**2 + 2*o**2 + 2*o**2)*(1 + o - 1) + (0*o + 0*o - o**2)*(-15*o + 31 - 31) as p*o**2 + h + z*o + m*o**3 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:39 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 860 and 46440?\nAnswer: 46440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 4*n**2 + 4*n + 7. Let j be d(5). Solve y + 6 = s - 2*y, j*s + 3*y - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:00 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from {a: 1, l: 1, m: 2, y: 1, p: 2, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 433584920 and 4040.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 17*w**2 - 231*w + 14. Determine a(-11).\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -11*b**4\/12 - b**2\/2 - 17*b + 2. Let x(d) = 2*d**2. Calculate w(x(j)).\nAnswer: -44*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -257 - -18?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 - 129 = -20*o + 41 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - n - 2*n - 76, 2*n + 4 = 0. Let h(v) = v**3 + 14*v**2 + 2*v + 29. Let s be h(d). Let b = -260 + 2858\/11. Is s at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 5*s**3 - s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (1848\/(-140) - (0 + -8)). Which is the smallest value? (a) 2 (b) g (c) -108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((4 - -1) + 13) - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occ when three letters picked without replacement from ecokokcg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.808 - 1.008. What is the nearest to 0.1 in 0, 5, s, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 2*i**2 + 3*i + 9. Suppose -7 = -3*o - 1 + 6. Give k(o).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*o - 136*o + 6196 - 2*o**2 - 139*o.\nAnswer: -2*o**2 - o + 6196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbfuggogumuggmm. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. What are the prime factors of 8 + -2*(g + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1131 + -10193\/9. What is the common denominator of 68\/21 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 5, -10, 0.3576, 4.\nAnswer: -10, -3, 0.3576, 0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvxvvvxvvvxvvxxv. Give prob of picking 2 x.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 109074?\nAnswer: 1199814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 + 3. Let d be i(-6). Is (d - 1) + (-1)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 - 15435756*g\/13 - 29782820411442\/13.\nAnswer: -2*(g + 3858939)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p = -160. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 8*h - 2*z + 6 + 4 = -2*h, -26*h + z + 39 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*(1 + -4). Let r = -11 - -19. Let t = r + u. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 3*h - h)*(2*h**2 - 2*h**2 - h**3) + 7856 - 7856 - 185*h**4 to f*h + m*h**2 + z*h**4 + l*h**3 + s and give z.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:50 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003509636 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564465411.\nAnswer: 3, 62718379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/75 and -9\/5.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:37 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18653176.5 hours to weeks.\nAnswer: 111030.8125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m. Let y(q) be the third derivative of q**4\/12 + 16*q**2. Calculate w(y(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55743066371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9923, 19847, 29769, 39689?\nAnswer: 49607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026029 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 1276053.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.01431.\nAnswer: -0.02862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 - 3 - (-26 + 35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 1. Suppose i = -3*l - 12, 4*i + 0*l + 18 = -2*l. Let u(a) = -6*a. Let x(w) = i*u(w) + 4*y(w). Find the first derivative of x(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.15865828 rounded to three dps?\nAnswer: 2.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -92*z - 269. Determine b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 = -647999*l + 648280*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51433431 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + (-11 - 30) + 69 + (0 - 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -54.891884, 14.\nAnswer: -54.891884, -6\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -334 - -2?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -18 and -2\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011517603 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.937 - 8.937. Let y = 31 - 31.03. What is the closest to 1 in y, 3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60c86 (base 14) to base 8.\nAnswer: -707006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-13))\/((-14)\/56*8)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*n**2 + 93*i*n + 6*i + 6*n**2 + 60*n - 1 wrt i?\nAnswer: 4*n**2 + 93*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180607083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-18)*1*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 127. Let d = 13 + -6. Suppose -d*m = -x*m. Round m to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - 0.03. Let a = -4.07 - -1.07. Sort b, 0, a, 4 in increasing order.\nAnswer: a, b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.92 + 0.08. Let f = 4.3 - 3.9. Which is the nearest to p? (a) -5 (b) 4\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-8))\/(42\/2744). Suppose -32*w = -10*w - 1078. Is w != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 263 - 257. What is the least common multiple of 31 and a?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34914 and 111619?\nAnswer: 7366854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 65*n**3 - 3*n**2 - 3*n. Let p(j) = 22*j**3 - j**2 - j. Let q(f) = 17*p(f) - 6*w(f). What is the least common multiple of q(-1) and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -728*i**3 - 171 + 729*i**3 + 155.\nAnswer: i**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1.1. What is the biggest value in 0.4, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v + 0)*(v - 4 + 4) - 4*v**2 + v**2 + v**2 - v**2 + 1 - 1 + (3*v + v**2 - 3*v)*(1 + 1 - 3) - 2*v**2 + 2*v**2 + 4*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -113*r**7\/21 + r**6\/10 + 80*r**3 + 28*r - 1. Find the second derivative of h(t) wrt t.\nAnswer: -4520*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n + 28 = 2*l, -4*n + 74 = 5*l. What is the least common multiple of -10*(6 - 0)\/(-3) and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:57 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-2\/11)\/(l**(1\/3)\/l*l)**(-40))**(2\/77) assuming l is positive.\nAnswer: l**(892\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.2 (c) -27.14234 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 175786 divided by -1\nAnswer: -175786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 12*a**2 + 21*a - 78. What is q(5)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**3 + 2*m**2 + m. Let x be o(-1). Suppose -2 + 22 = 5*k, 4*k - x = -2*u. Is u + 4 - 1 - -264 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(0 + -1)\/(-2). Suppose -u = -m - 2. Differentiate -6*c**u + 5*c**3 + 0 - 2 wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 2*y**2 + 2*y - 1. Suppose 0 = 2*x - 7 + 11. Calculate o(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 (base 10) to base 14\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**3 - 237*u**2 - 987*u - 91. Give x(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 3. Is (-456)\/(-21) - w\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 660, -0.01.\nAnswer: -4, -0.5, -0.01, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464 + 464.05. What is l rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdwdwwww. Give prob of picking 2 w and 1 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)*2*-6 - -3*sqrt(162)*2) + (6*sqrt(162)*-1 + sqrt(162))*-2)*-6)**2.\nAnswer: 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23657.\nAnswer: 41, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 16 + 8)*(-2*d + 1 - 1)*(-2*d + 3*d - 3*d)*(-3 + 1 - 2).\nAnswer: 368*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 0 = -10 + 66. Solve -24 = -4*o + n*t, 2*t + 2*t = -o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p - 48600000. What is p rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/4)\/(((r\/(r**(-5)\/r))\/r)\/r)*(r*r**(-4\/9)*r*r)**(-2\/15) assuming r is positive.\nAnswer: r**(-2479\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -453.044616 rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijbibibijbiiiijiii. What is prob of picking 1 i and 2 j?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5 - 1. Let d(c) = c**3 - 5*c**2 + 4*c + 1. Let i be d(4). Calculate the common denominator of -43\/3 and (-46)\/4*i\/s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 1. What is z(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1007 = -2113. Is 40 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(65) - (((sqrt(65) - sqrt(65)*1) + sqrt(65) + sqrt(65) - sqrt(65))*-3 + sqrt(65)))\/(2*sqrt(25)\/sqrt(5)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 7)\/(1\/24*-2). Let r(a) = 24*a**3 - a**2 + a. Let s be r(1). Suppose g*h + s = 16*h. What is the lowest common multiple of 10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28492*h**2 - 11*h - 20 + 20*h - 9*h.\nAnswer: 28492*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0.3 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5611 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452) - (sqrt(1452) - sqrt(1452)*-5*4))\/(sqrt(196) - (sqrt(196) - -5*(sqrt(196)*3 + sqrt(196)))).\nAnswer: 11*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034354 to five decimal places.\nAnswer: -0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6473.0286 - -6474. What is q rounded to two decimal places?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 225, 228, 233, 240, 249, 260, 273?\n\"Answer: a**2 + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*g**2 + 13692*g - 13683*g - 203*g**2.\nAnswer: -13*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(27)*-4 + -4*sqrt(384)\/sqrt(8))**2.\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(-3 + 1 + 4) + 0 + 4 + 0)*(-2*w + 3*w + 3*w).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.34 - -6.64. What is the biggest value in 6, -1\/12, 1\/5, 0, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.7 - 70. Let v = -8\/21 + 82\/105. Which is the closest to -0.2? (a) w (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(304))*-4 + sqrt(304))**2 + (sqrt(304) + 0)*-5 - 1*(sqrt(304) + -1 + sqrt(304) + -1 - ((1 + sqrt(304))*-5)**2).\nAnswer: 172*sqrt(19) + 10363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -383.874 and 17842.7?\nAnswer: 18226.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.089 + -535.211. Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 - 186 - 4\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*x - 103*x + 193*x + 1656 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21525 + -21525.09207. Let z = -171.3 - -171.3867. Let u = g + z. Round u to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 568, 5, 3 in ascending order.\nAnswer: 3, 5, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n + n)*(-33 - 12*n**2 + 33).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 12*f + 22. Let s be o(10). Let d(m) = -m**3 + 2*m**2 - m + 1. Determine d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = -126*r - 907 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 1 - i + i**2 + 3*i**3 + i**2 - 2*i**4 to w*i**4 + b*i + v*i**3 + y*i**2 + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfdffddjjddjjdf. What is prob of sequence fdjd?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52233047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4863070 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174581 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (1 - 3) + 5. Let t be m\/(2 - -1) - 0. Let o be (-1 - t - -3)*-2. Are o and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3742622 is divided by 872.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11430326 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*n - 4*n + 4*n)*(2 + 0 + 1) - 5*n - 8*n + 2*n)*(2*n - 3*n - 25 + 28) to the form h*n**2 + w + g*n and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665225810?\nAnswer: 2, 5, 17, 3913093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + (-104 - -73).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-714)*14\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -74, -107?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 - l - 5*l**2 - l**2 - 1 + l**2. Let t(w) = 3*w**2 + 7*w. Let o(s) = -2*f(s) - t(s). What is o(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -53. Which is the smallest value? (a) 0.5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:58 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.9 + 63. Let f = x + -4.9. Let c = -2.94 - 0.06. Put f, c, -1 in descending order.\nAnswer: f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47330293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 22700475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2) + 120\/10. Suppose 3*y = -5*z + 7, -z + 5*z = 3*y + j. Suppose -z = l - 41. What is the remainder when 112 is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*h - 5. Suppose 3*r - j + 2*j = 92, -h = -2*r + 4*j. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = v - 5*s, s + 1 = 3*v - 0*v. Let d = v - -9. Do d and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -1\/7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - -8)) + (-8 + 8 - -28) + -66?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/45 and -79\/2550?\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + 213\/18. Let z(u) = 3*u - 22. Let o be z(i). What is the units digit of (0 - -1)\/(o\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1573) - sqrt(1573)) + 2)*5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {a: 1, h: 2, o: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 1146 = 13*k. Let q(c) = c + 33. Calculate the remainder when k is divided by q(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7 + 15 - 22 - 48*x. Does 32 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4*15\/(-180).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 145*g**2 - 49*g**2 - 48*g**2 - 50*g**2. Let n(p) be the first derivative of -2*p**3\/3 - 1. Calculate n(q(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3335333261 + -0.33353. Round v to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -3*m**5\/80 + 3*m**4\/8 - 3*m**3\/2 + 3*m**2 - m. Suppose t(u) = 0. Calculate u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011010110000011010111101100 - -10?\nAnswer: 11011010110000011010111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2076 and 57059898.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*c**5 - 1725*c**3 + 1725*c**3 - 3*c**5 + 0*c**5 + c**5 + c**5 - 3 + 3 + (2*c**3 + 0*c + 0*c)*(2*c - 2*c**2 - 2*c).\nAnswer: -51*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333 - -1?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 + 731030*t\/3 + 5117308\/3.\nAnswer: -2*(t - 365522)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/15, -0.1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 7*v**2 - 8*v + 4. Let z be l(-8). Suppose 0 = z*m - 5 - 3. Sort m, 5, -4.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542778794 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 11*f**2 - 10. Suppose -128 = -18*j - 326. What is h(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 15*o = d - 44, 2*o + 5*d = 4. Let x(y) = y**2 - 13*y + 15. Let s be x(o). Which is the nearest to -0.1? (a) s (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11151 and 662452.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3087 = 4843*s - 4731*s + 13055 for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**6\/120 - f**4\/6 - 10*f**3\/3 + 11. Let c(b) be the third derivative of w(b). Differentiate c(y) with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, i: 4, x: 1, o: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let x(u) = 2654123*u. What is x(b(z))?\nAnswer: -5308246*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 1 b when three letters picked without replacement from beboz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 574\/13, 58, 5, -3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/11 + 222*l**3\/11 + 14580*l**2\/11 + 226184*l\/11 - 1152480\/11 = 0 for l.\nAnswer: -98, -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 28434*s**4 + 0*s**2 - 8 - 2*s**2 - 28436*s**4 + 2*s - 64 as b*s**3 + c + q*s**4 + j*s + o*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b + 661*b**2.\nAnswer: 661*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x + 28. Let n = -217\/2 + 115. Let i = n + x. Which is the closest to i? (a) -3 (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*a**3 + 2*a**3 - 222*a**4 + 151 + 9*a**3 + 4*a**4 + 0*a**3 wrt a?\nAnswer: -872*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -0.1, 2\/2685, -3, 4, 21\/8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -14. Let z = 439\/345 - 108\/115. Let h = -29 + 28. What is the smallest value in h, z, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 153552?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 10, 2361.\nAnswer: -67, 10, 2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s. Let q(c) be the first derivative of c**2 - 4. Give q(y(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 65513366 to the power of 1\/2, to the nearest integer?\nAnswer: 8094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + b - 220. Calculate n(18).\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*h = 0, -15 = -2*h + 5*h. Suppose -1573 = -4*d - 4*k + k, k = -q*d + 1567. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63, 296, 697, 1272, 2027?\n\"Answer: x**3 + 78*x**2 - 8*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 594.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -467 * -3.8.\nAnswer: 1774.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958145083.\nAnswer: 7, 503, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-18)*7\/56*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.5 (b) -0.4 (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 r, and 1 f when three letters picked without replacement from grcrrhf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53100203 is divided by 1965.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a decade in months?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5610796, 22443177, 50497148, 89772709?\n\"Answer: 5610795*a**2 - 4*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 199.3 and 2014.8032536?\nAnswer: 1815.5032536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 45, 82, 127, 180?\n\"Answer: 4*r**2 + 17*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8142028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 503.8, 37, -125.2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from {j: 4, a: 3, p: 1, t: 6, n: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*x + 0*x + 2 = 0, 3*x - 4 = -5*q. Suppose -3*t + 6 = -3*o - 12, 0 = -t - q*o - 3. Let a = 687 - 692. Sort a, -2, t in ascending order.\nAnswer: a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8160218*q*w**3*x**3 - 2439418*w**3*x**2 + 3*x**3 wrt q.\nAnswer: -8160218*w**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 83, 130, 183?\n\"Answer: 3*t**2 + 32*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4 + 34. Let g(m) = 19*m**2 + 25*m - 1. Let f(a) = 6*a**2 + 8*a. Let w(q) = -8*f(q) + 3*g(q). Is w(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1, 635, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 2. Let s be q(-3). Let y = s - -2. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381 * -337924.\nAnswer: 128749044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(1683\/(-36))*55\/15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -9882, -33480, -79450, -155250, -268338, -426172, -636210?\nAnswer: -905910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -7. Let l be 6\/9*(-33)\/w. Let f be (3 - 2)*1*l. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -9*b**2\/2 + 5. What is the units digit of i(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/5 (b) 1 (c) 2\/39 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and -2603972154909.\nAnswer: -2603972154896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12a (base 13) to base 5\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 29*m**3 - 14*m**3 - 16*m**3 + 9.\nAnswer: -m**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40898*i**2 - 81696*i**2 + 40900*i**2 - 2.\nAnswer: 102*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30181*o**2*t**2 - 4418*o**2*t + 4334*o*t**2 + 12*o*t - 2*o + 29*t wrt t?\nAnswer: -60362*o**2 + 8668*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24548 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443318282.\nAnswer: 2, 3, 7, 11454907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 5*p + 13 + 7 - 3.\nAnswer: 2*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 889251.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -23978*k - 71893. What is b(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2332990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 36, -5 in ascending order.\nAnswer: -5, 0.1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 7547*d + d**3 + 7534*d to k*d**3 + o + f*d + r*d**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 3*w - 75, -2*v - 5*w + 22 = 0. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16258*((-2)\/6 - (-11)\/(-66)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2369143612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let z(x) = 3*x**2 + 2*x - 1. Let c be z(1). Suppose 5*f = c*y - 28, -3*f - 14 = -2*y + y. What is the nearest to 0.1 in f, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170685 by -56895.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -955*q**4 - 36558*q**3 - 5534*q**2 - 646*q + 3.\nAnswer: -22920*q - 219348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 10*c**2 + 5*c + 5. Let l(u) = -2*u - 37. Let o be l(-16). Let i be r(o). Put -1, -2, i in increasing order.\nAnswer: i, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 * -1.7367\nAnswer: -0.573111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 376 - 332. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-7) + 3 + (-1094)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/3234*(-11)\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + 8*d - 4. Suppose 3*p - 14 = 8*b - 3*b, -10 = 3*p + b. Let c be t(p). Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (6 - -13) + (0 - (-2 + 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 5. Let d(m) = 9*m - 4. Suppose -5*a + 7 + 8 = 0. Let y be d(a). Is 32 a factor of p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50062758 and 12752?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 1 (c) -2\/457 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*u - 302, 2*l - 6*l + 3*u + 243 = 0. Suppose -18*f + l = -30. Solve -x + 3*r - r + 5 = 0, 3*r = f*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -140*k + 2259. Let c be z(64). Which is bigger: c or -6703?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(12))**2 + -2)) + 1.\nAnswer: -9 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**9\/22680 - w**8\/10080 + w**7\/1890 + 11*w**4\/4 + 9*w. Let c(o) be the third derivative of j(o). Factor c(t).\nAnswer: -2*t**2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.08, -10, 1\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - o**2 - 445 + 520 + o**2.\nAnswer: 2*o**3 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:26 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3*r**4 + 10\/3*r**2 + 2\/3*r**5 - 32\/3*r + 10*r**3 - 8 = 0. What is r?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 36*t**2 + 20*t - 580. Calculate the remainder when 494 is divided by i(36).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98531567151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 24720375?\nAnswer: -24720401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/2179?\nAnswer: 2\/2179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2987 divide 991499471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 808 - 8. Suppose q = r + 4*r. Suppose 2*n - r = -2*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:54 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*v - 43 = 0, -10818*v + 5408*v - 28 = 2*r - 5408*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n**2 - 2)*(4 + 5 - 6)*(-4*n**2 + 4*n**2 - 3*n**2).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3008 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 1. Let a be j(2). What is the highest common factor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*b - 2, 7 = -5*s - 3*b + 18. Let w be -4 - (s\/(-3) + -4). Factor 0*g**3 + 0 + 0*g + 0*g**4 + 0*g**2 - w*g**5.\nAnswer: -g**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/7 - 8374658*y**2\/7 + 8766866264448*y\/7 - 8766857889792\/7 = 0.\nAnswer: 1, 2093664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d - d - 19 - 15*d**2 + d**3 + 6*d - 2*d. Let z be k(15). Suppose g = -i + z, -3*i + 141 = 5*g - 254. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1481*i*k*r + i*r + k*r + 459*r wrt i?\nAnswer: -1481*k*r + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 15) to base 5\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*a - 13*a + 8 - 8 in the form v + t*a and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 6. Let h be 2*(y + 13\/1). Suppose 0 = -5*z + 9*z - h. Sort 0, z, -5 in ascending order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19765085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -15182200?\nAnswer: 15182200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13195, 26390, 39583, 52774, 65963?\n\"Answer: -v**2 + 13198*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 1\/6*h**3 + 0 - 2*h + h**2. Suppose -385 = -191*i + 129 + 59. Calculate q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56114*l**2 - 14036*l**2 - 14035*l**2 - 14034*l**2 - 14031*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4368, -4417, -4464, -4509, -4552, -4593, -4632?\n\"Answer: a**2 - 52*a - 4317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.04, 11, -47, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/(-4))\/(105\/(-84)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjvs when four letters picked without replacement from {s: 1, x: 5, j: 3, v: 9}?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17473842.224 - 2.024?\nAnswer: -17473844.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6520 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -18. Let u(v) = -5*v + 12*v + 6078351 + v**2 - 6078352. Calculate u(g).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 3. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - -837. Let j = -991.53 + g. Let v = j + -9.7. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10. Let l = h + 2. What is the remainder when 31 is divided by 8 - (-2 - 1)*l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 17*h**2\/3 + 316*h\/3 - 928\/3.\nAnswer: -(h - 8)*(h - 4)*(h + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = -10, 2*s = 2*t - 16. Let f = 0 - t. Let p = 2253 - 2258. What is the third biggest value in f, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(2*sqrt(3) + sqrt(3)))\/(sqrt(64)*6 - sqrt(4)).\nAnswer: sqrt(13)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 > -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 73*x**2\/2 - 684*x + 648.\nAnswer: -(x - 36)**2*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4266\/(-632)*(4\/153)\/(47\/(-564)).\nAnswer: 36\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2331800 by -4.\nAnswer: 582950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 3 - 3*z + 6*z + 98 - 6.\nAnswer: 3*z + 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1467932 and 16147249\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/5 + 74*d**3\/5 - 488*d**2\/5 - 2696*d\/5 + 1344 = 0. What is d?\nAnswer: -42, -5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 530?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 13) to base 15\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -35947\nAnswer: -4\/35947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 18*x**2 + 22*x + 64. What is the tens digit of m(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89 or 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - o**4 - o**4)*(-2*o + 4*o + o + 0*o - 3*o + 2*o - 2 + 2 + o + (-3 - 3 + 4)*(2*o + 4*o - 4*o)).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 62 - 7 - 5 - 7 + 38*q - 31.\nAnswer: 38*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u - 4. Let a be y(-9). Suppose -4*k = -a*k + 253. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.279618 + -2.03311\nAnswer: 7.246508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*h - 102*h - 104*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 3:44 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*s + 3719984, 0*s = -5*o - 3*s + 4649988. What is o rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2389765 by 12.\nAnswer: 2389765\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, -53, -131, -209?\n\"Answer: -78*j + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - y**2 - y + 5. Let u be d(-3). Solve -4*q = 5*t + u, -4*q + 2*t = -6*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 447, 445, 443?\n\"Answer: -2*m + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, y: 4, p: 2}. What is prob of picking 1 p and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252912 and 26224?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 11*n**2 - 38973*n + 608. Determine c(-203).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -4, -6, 1.\nAnswer: -89, -6, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 9. Let o be l(5). Let x be o\/(3 - 8\/4). Let c(h) = 18*h**2 - h. What is the tens digit of c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/3 + q**2 - 14*q. Let s(f) = -5*f**2 - 3. Let b(u) = -2*u - 6. Let j be b(-4). Calculate j*s(o) + 3*m(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -2139, -7220, -17121, -33450?\nAnswer: -57815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose 19595 = -105*d + 14240. Put -1, d, t, 0.4 in decreasing order.\nAnswer: 0.4, t, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-4)\/(-30))\/((-32)\/(-20)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14*w**2 - w + 1. Let q be j(1). Let p = -12 - q. Solve -p = 3*k - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 5. Let r(o) be the second derivative of o**3\/6 + o**2\/2 + o. Let l(v) = 6*r(v) - 2*z(v). Differentiate l(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-896)\/(-12)*(-18)\/(-332). Let m = a - 1475\/1328. Calculate the common denominator of m and (693\/14)\/(-1)*(-2)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -287, -659, -1185, -1865, -2699?\nAnswer: -3687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 15*u + 411933 = -14*u, -2*c = -10*u - 411944. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - -3.6. Put 0, v, 1\/3 in increasing order.\nAnswer: 0, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k - 25. Calculate f(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 4*g + 48, -422 = 5*g + 4*l - 393 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.846945 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62227, 62373, 62781, 63589, 64935?\n\"Answer: 23*t**3 - 7*t**2 + 6*t + 62205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.04 (c) -0.1 (d) 0.07 (e) 2 (f) 2\/1067 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15923 = 5*x + 2*z, 3*z - 12748 = -4*x - z. What are the prime factors of x?\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 2*h**2 - 8*h + 16359817 - 16359817.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m + 221. Let k(b) = 2*b + 74. Calculate -4*d(g) + 11*k(g).\nAnswer: -2*g - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -27, -35, -31, -9, 37?\n\"Answer: x**3 - 3*x**2 - 12*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 31. Let n = l - -16. Suppose -n*u - 5*f - 15 = 0, -15 = -3*u - 0*f + 5*f. Solve j + j - 8 = u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-21))\/(70\/30*18\/(-147))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20415 - 20416. Which is the nearest to v? (a) 3 (b) 4 (c) 236\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 87?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625316 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 1 p when three letters picked without replacement from {l: 1, w: 3, y: 3, o: 1, p: 2, h: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11301 + -1003222233?\nAnswer: -1003210332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68797326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2) - 7\/(-14). Suppose -9 = -4*i - 2*p + 15, i - 3*p - 13 = 0. Solve i = -z*v - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3252 and -16\/15?\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62109 or 62091?\nAnswer: 62091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = 4*k, 2*r - 8*k = -3*k + 30. Suppose p = -1 + 9. Let l = p - r. What is the smallest common multiple of l and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 391*u + 0*u**2 - 367*u - 2 + 2*u**2 + 4*u**2. Differentiate v(t) with respect to t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/44)\/(6\/16)*(-1837)\/(-334)*6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*y + 38 = -2*y, -a = 4*y - 14. Suppose -j + a*j = 72. What is the highest common divisor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 6. Let f be (9\/q)\/(2\/4). Suppose 2 = a + 1, -f = j - 4*a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33966 and 335988?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*o - 662 = 534 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -34.53. Let y = s + 1.53. Let j = -5 + 5. What is the closest to j in 0.4, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -418 and 0.7?\nAnswer: 418.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, 1.0272, -0.1, -0.9, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157975*t**4 + t**3 + 157975*t**2 + 4*t wrt t?\nAnswer: 3791400*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0225 - -17.9775. Put -2\/3, -1\/4, r, 2\/5 in descending order.\nAnswer: r, 2\/5, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 18 = -0*m - 3*m, -4*p + m = -17. What is the third derivative of -1 + 47*x**2 + 2*x**3 - 29*x**2 + 47*x**2 + 327*x**p + 76*x**2 wrt x?\nAnswer: 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -1.0304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from uececcec?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 14. Suppose -4*i + b = 5. Solve -i*s + x - 3 = 6, 0 = -2*s - x - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19735.\nAnswer: 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 14*z + 1\/6*z**4 + 0*z**2 + 0*z**3 + 0. Let f(b) = -5 + 0 - 34*b**2 + 5. Calculate v(f(x)).\nAnswer: 2312*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*j + 620 = 124, -3*p - 4*j = -730. Suppose 326 + p = 4*q. Suppose 35*h - 527 + 142 = 0. Calculate the greatest common divisor of q and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2109 and -913309.2731.\nAnswer: -911200.2731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**3 - 10*p**2 + 221*p + 7. Let a(z) = -z**3 + 2*z**2 - 3*z - 2. Calculate -5*a(b) - r(b).\nAnswer: -2*b**3 - 206*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(8\/5))\/f)\/(f**(-2)\/f))\/(f**(-4\/9))**(-47))**(-35) assuming f is positive.\nAnswer: f**(5131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:02 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45471332, -90942662, -136413992, -181885322, -227356652?\nAnswer: -272827982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by -2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1674774, -1674794, -1674816, -1674840, -1674866?\n\"Answer: -o**2 - 17*o - 1674756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - w = -16, -4*j - 7 = -2*w + 13. Let c be 10*(3 - (-26)\/(-10)). Suppose -1 = -c*q - 21. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 17. Let a be u(-8). Suppose -3 + a = 3*f. Solve 0*m + m + 3*d + 1 = 0, 5*m - f*d - 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9*1)\/((-6)\/4). Let b(r) = -r**3 + 6*r**2 - r + 3. Let k be b(c). What are the prime factors of 13 + k\/(-9)*0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-1 + -9)*(-4)\/(-10). Suppose -c*p = t + 54, 2*t + 77 = -5*p - 28. Let i = t + 78. Calculate the remainder when 54 is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*h + 5*h + 83 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56911, -227617, -512127, -910441, -1422559, -2048481, -2788207?\nAnswer: -3641737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 517*l + 696*l + 1037*l + 737*l - 189*l as j*l + z and give j.\nAnswer: 2798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7985*v - 2 - 7658*v + 23058*v + 1 - 7700*v)*(4*v + 2*v + 0*v) as d + f*v**2 + l*v and give f.\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/7)\/h)**22*(((h\/(h\/h**(-2)))\/h)\/h)\/(h\/((h*h\/h**2)\/h)) assuming h is positive.\nAnswer: h**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*t + 4. Suppose -7*g - t = -87. Suppose 1 + g = 4*j. Solve 2*b - 20 = -j*q, q = -q + 2*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4 - 2*w**4 + w**2 - 4*w**2 - 3*w**2. Let h(p) = p**4 + p**3 + p**2 - p - 1. Let t(i) = -4*h(i) - j(i). Factor t(m).\nAnswer: -2*m*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1f545d?\nAnswer: -1f545e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*16\/(4 + -5). Let o be 1\/4*t\/5*5. Let x be ((-2)\/o)\/((-3)\/12). Solve 2*r + 3*r = -x*i - 11, -5*i = r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -64. Let i = f + 26. Put -1, 2, 3, i in descending order.\nAnswer: 3, 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 134 in -0.4, -2\/159, -0.2, -0.5?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.16, 0, 9 in descending order.\nAnswer: 9, 0.16, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 25.43. Let y = g - -0.07. Which is the nearest to 0.2? (a) y (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56 - -551 - 4*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1979 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*((1 + sqrt(180))*4 + -5*(1 + sqrt(180))))**2*-2.\nAnswer: -325800 - 21600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1184 less than -1287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 8) to base 16\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 249360 divided by 1\nAnswer: 249360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 748 + 1560 = 0 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836916, -836949, -836982, -837015?\nAnswer: -837048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/20)\/((-5)\/(-2))*(-3850)\/(-210).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u + 7. Give y(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1134) + -3*(-2*sqrt(14) - sqrt(14)))\/((2*sqrt(112) - sqrt(112))*2))**2.\nAnswer: 729\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 5 + 1)*(74805 + 1). Suppose -l = -4*t + 2476000, -m = -2*t + 5*l + 639552. What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -122 - 154. Let i = a + -91. Let z = -20 - i. What is the third smallest value in 3, z, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62 and 0.047?\nAnswer: -2.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -47 (c) 0.2 (d) 1 (e) -3\/5 (f) -11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + w, 0*j - 5*w + 28 = 4*j. Suppose 0*b = j*b + 4. Let u be b\/(-14) + 152\/14. What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = r - 12. Suppose 2*j = -1 + r. Which is bigger: j or -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -194, -815, -2066, -4157, -7298, -11699?\nAnswer: -17570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 22*s**2 + 7*s. Let p(x) = 3*x**2 + x. Let q(c) = 14*p(c) - 2*v(c). Let z(y) = -21*y - 4 - 2*y + 4. Give z(q(f)).\nAnswer: 46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5))**(-8\/5) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 21*x + 6320 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16*c**3 + 3612*c**2 - 37100*c + 25800 = 0.\nAnswer: 3\/4, 10, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 + 5726430*i - 8198000136225 = 0. Calculate i.\nAnswer: 2863215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -333181400 to the nearest one million.\nAnswer: -333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -18*j**3 + 10*j**2 + 31*j - 12. Is c(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*p - 8 = -w, 3*p + 6 = 0. Suppose m - w*k - 32 = 0, 88 = 3*m + 2*k - 6*k. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4686 and 107\/11277072?\nAnswer: 124047792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -21*d**5\/20 + 29*d**4\/2 + 440*d**3 - 384*d**2 + 28*d - 77. Factor a(u).\nAnswer: -3*(u - 16)*(u + 8)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - ((-759)\/2 + (-1)\/2) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1182*b + 13846?\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 + 3*m - 1. Let p be k(-4). Suppose 0 = -0*l + l + p. Let o = l - -28. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 0*b**3 + 8 - 10*b + 0*b**2 + 11\/2*b**4. Differentiate p(q) with respect to q.\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80753099, -161506198, -242259297, -323012396?\n\"Answer: -80753099*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = p - 14, 0*g = 2*p + 3*g - 42. Let n = 34 - p. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7249 + 8399 = -10*n for n.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/974 and 95\/4.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let q be 2 + -4*1\/l. Let y = q - 4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 12.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.8768, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*k + 4*k**3 - 312*k - k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296742089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12088137 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-472)\/8)\/((-21)\/(-399)*-19)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {h: 2, b: 4, o: 2, a: 1, y: 3, s: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -1, 256, -7, -784, 5 in decreasing order.\nAnswer: 256, 5, 1, -1, -4, -7, -784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*v - 116, 2*o - 177 = -o - 2*v. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 8*a - 1. Let v be l(-1). Let k(f) be the first derivative of 15\/2*f**4 - 14\/3*f**v + 0*f + f**2 + 3 - 18\/5*f**5. Factor k(w).\nAnswer: -2*w*(w - 1)*(3*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**9*u*u)))\/u)\/(u\/(u**0*u*u))*u\/u**7*u**(-2\/9)*u)**(13\/2) assuming u is positive.\nAnswer: u**(338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -304 (b) 4 (c) 0.2 (d) -0.11 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -74 + -3?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 2. Let p(v) = -6*v + 4*v + 4 - 2*v. Let f = -1 - -6. Let o be (f\/(-5))\/((-1)\/(-13)). What is o*w(h) + 6*p(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 - -132. Suppose -n*r + 5*j - 30 = 3*r, -4*j + 20 = 0. Which is greater: 0.2 or r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 + -132 + (-11 - 62)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.185765 + 67717.\nAnswer: 67717.185765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.3 and 2.162.\nAnswer: 0.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -82 and -196.015 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193854971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = 29. What is the greatest common divisor of 27 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (sqrt(684) - (-2 + sqrt(684))) + -5)**2 + ((sqrt(1216) + 0)*2 - (3*sqrt(76) - (sqrt(57)\/(sqrt(3)*-1) + sqrt(19))))**2.\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from wgwzwgzzgwl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 19766049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*q + 5, -2*q - 2*z + 25 = q. Let r(o) = 6*o - 25. Let p be r(q). Which is the closest to -2? (a) 0.5 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45153 is divided by 11283?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242251 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2\/6 + 1187*h\/6 - 1393 = 0.\nAnswer: -1194, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjsjjjjsjjjjjjsjjjj. Give prob of picking 2 j and 1 s.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 4:18 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660282.2 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191163 divided by 7.\nAnswer: 27309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 2. Let x(r) = -150*r - 30. What is -30*p(q) + 2*x(q)?\nAnswer: -360*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s - 370660 - 5*s**2 + 370660 - s**3 as b*s**2 + k*s**3 + n + g*s and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p + 38. Let h be d(-6). Suppose 0 = -3*c + h*w - 25889994, -3*c - 33425999 = -4*w - 7536011. Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12177653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*((-20)\/(-30))\/(-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**4 + 3*s**2\/2 - 13. Find the second derivative of o(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8573629*2\nAnswer: -17147258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let p(b) = -b**2 - 2*b + 8. Let o(f) = 5*n(f) + p(f). List the prime factors of o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8245b (base 13) in base 3?\nAnswer: -102212111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(216)*-6) - sqrt(84)\/(sqrt(12) + 2*sqrt(84)\/sqrt(7) - sqrt(12)).\nAnswer: -19*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813676 + -32228862.\nAnswer: -31415186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) 0.155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292415754.\nAnswer: 2, 3, 48735959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76211043*q**4 + 41077619 wrt q?\nAnswer: 304844172*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 44 = 4*a + k, -2*k - 84 = -4*a. Let p = a - 19. Solve n + p = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u*y**4 - 6*u*y**3 + u*y**2 + 5030*u + 3773*y**4 - y**2 + y wrt y?\nAnswer: -48*u*y - 36*u + 90552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1637 + 998 - 32)*(2*j - 4*j + j) as v + b*j and give b.\nAnswer: -2603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 2*b + 21. Let h(t) = 2*t**2 - t - 10. What is 7*h(a) + 4*z(a)?\nAnswer: 2*a**2 + a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3 - 1 + 8 - 2*g + 1. Give u(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Let g = -29 - -61. Suppose -2*b + g = 3*l + l, l - 8 = 3*b. Calculate the remainder when l is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 15\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 2, -13, -26, -37, -46?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22788, -91143, -205066, -364557, -569616?\n\"Answer: -22784*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, -45\/19 in ascending order.\nAnswer: -45\/19, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 616 = 15*n. Let l be -7*(-4 - -3)*2. Calculate the highest common factor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*-7*(-6)\/(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 586103*n**2 - 353*n + 1196?\nAnswer: 1172206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = b - 52, -3*g = -4*b + 71 - 16 + 117 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from gbttrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2342 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220810067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2 - -3 - -3) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d - 4*d. Let i = 759 + -763. What is the biggest value in i, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41113000 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-24) - (-39)\/(-4))*-1. Solve -4*g + 3*v - 15 = -0*v, 0 = 4*g + 2*v - i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346242908 to the power of 1\/2, to the nearest integer?\nAnswer: 73118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 2122012022121?\nAnswer: -2122012022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021079004 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -588551, -1177342, -1766135, -2354930?\n\"Answer: -q**2 - 588788*q + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*s = 7, -6*d + 6*d - 97*s + 262*s - 94*s + 84 = 92*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (-3 - (1 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**8\/336 - 7*f**5\/20 + 13*f**2 - 14. Let w(z) be the second derivative of a(z). What is the third derivative of w(l) wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - o - 229, 5*o = -112184*y + 112180*y + 223 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 - 10*y**2 + 14*y + 1. What is the remainder when 96 is divided by g(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/12*(-22)\/88.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 0, 16, -1, 1, 2, -2 in ascending order.\nAnswer: -40, -2, -1, 0, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*c**(-1\/7)*c*c))**1*c**13\/(c**(4\/19)*c))**14 assuming c is positive.\nAnswer: c**(2110\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.517 and 33?\nAnswer: 33.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399892 divided by 13.\nAnswer: 399892\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40998301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - (11 + -18))*32. What is the nearest to 1\/34 in c, -2\/35, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*k = -225, 4*f + 21*k = 19*k + 182. Solve -37*z + 65 = -f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70660172 a multiple of 2501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 8*h + 5. Suppose 0*s - 8 = -s. Let o be c(s). Let t(d) = d**2 - 13*d + 0*d**2 + 7 + 5*d**2 - o*d**2. Let n(g) = 4*g - 2. Give 7*n(q) + 2*t(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -239*f + 234*f + 21, 30 = 3*l + 12*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -1) + (-5)\/(-25)*-65.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/133)\/((2\/(-42))\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/9 - 14806*g**2\/9 - 44404*g\/9 - 29600\/9 = 0.\nAnswer: -7400, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693338841.\nAnswer: 3, 13, 23, 101, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 2*k + 1. Let i = 365 - 364. Suppose 2*t - t + i = 0. What is w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z = -5 + 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 9469112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-3 - 19) + -18.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 + 33*c**2 - 4 + 57*c + 24 + 3*c**3 + 6.\nAnswer: 3*(c + 1)**2*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 65 = -m + 20, -8 - 5 = 3*m - 25 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 7*m - 14*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 92 = -4*g. What is the smallest value in 4\/5, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2649 and 60044?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btgttbe. Give prob of picking 1 t and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1585 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2098*t**5 - 123*t**2 - 2069025*t?\nAnswer: -41960*t**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -19*k + 8160. Let w(p) = -11*p - 27. Calculate w(b(f)).\nAnswer: 209*f - 89787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*o + 0*o = 96, -4*o = -3*s + 72. Suppose 0 = 4*n - 7*n + s. Suppose -6*m = -n*m. Solve m = -3*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1008 and -5.\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14272)\/(-88) - -3*10\/(-165)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*i + 4. Let m be 0*i*(-1)\/(-9). Suppose m = 2*o - 27 - 5. Calculate the highest common divisor of 96 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0096 + 183.\nAnswer: 183.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -74, -63, -52, -41?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 0.4449330599383?\nAnswer: 6.5550669400617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, -5\/752, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35777 divided by -31\nAnswer: -35777\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14231 + -3?\nAnswer: 14223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 646669296 a multiple of 3172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/60 + h**4\/24 - 7*h**3\/6 + 21*h**2 + 155*h. Let i(n) be the first derivative of g(n). Give i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.88441 millilitres in litres?\nAnswer: 0.03988441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:47 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1044 divide 1910546949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 2*p - 4, 0 = 2*p + 4*i - 22. Suppose p*x = 32 + 3. Let h = 11 + 4. Solve 2*b + h = x*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276\/5 - 11\/(-5)*423\/(-4653)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 - h + h)*(178*h - 4633 + 4633)*(2*h - 2*h - h) to the form q*h**4 + o + l*h**2 + n*h + u*h**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c1e (base 16) to base 6.\nAnswer: -22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.4 (c) 9 (d) 1\/296 (e) -1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = 6*w + 14*s + 30, -s + 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187 and -25381904454.\nAnswer: -25381904641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + a. Let m = -80 - -81. Let q(b) = -5*b**2 - 7*b + 1. Calculate m*q(t) + 6*j(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -113419*o + 2685. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1679081220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 25 (b) -2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 6, -1, -2, 24 in decreasing order.\nAnswer: 24, 6, 2, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 7500. Let j be -1*(f\/(-35) - (-4)\/14). Let m = j + -142. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114019?\nAnswer: 17, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + 10?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((0 - -1)*-15). Suppose -l - 70 = -6*l. Suppose -4*v + q = 9, -3*v - 7 = 4*q + l. Which is the closest to 2\/5? (a) v (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 + 2 + 13 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vvvlqvlvqlvjvvvvvaa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/5 + 192*c**3\/5 - 6076*c**2\/5 + 61248*c\/5 + 67518\/5 = 0. What is c?\nAnswer: -1, 31, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.051 and 150.6.\nAnswer: -7.6806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:31 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*o - 99. Let f = -7 - -33. Calculate the highest common factor of f and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)\/((-5)\/10). Let d(y) = -y**3 - 15*y**2 - 43*y - 403. Let l be d(-14). Put p, l, -3, -5 in decreasing order.\nAnswer: l, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 + 2*z - 3. Let w be (-1*(-1)\/(-3))\/(1\/15). Determine g(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7176215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 1, -3, 0.5516?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129009845 divided by -5.\nAnswer: -25801969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5, 195 in increasing order.\nAnswer: -5, -1, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k + 3. Let a be n(0). Differentiate 6*f**a - f**3 + 11 + 0*f**3 wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*4*-3*sqrt(156)*2)\/(1*(sqrt(192)*2 + sqrt(84)\/(-2*sqrt(7)))))**2.\nAnswer: 29952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2. Let b(d) = 7*d - 492. What is b(s(k))?\nAnswer: 14*k**2 - 492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 10083292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 106518.73 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 + -0.27. What is the third biggest value in -2, -1\/4, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:08 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.2 + 0.2. Let n = z + 5. Let s = 17\/60 + -5\/12. Which is the biggest value? (a) s (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13948660 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d + 51*d + 12531 = 270*d + 3656 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-976)\/244)\/(8\/45))\/(-5)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 51*a - 9 + 29*a - 11 + 12 in the form k + h*a and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000001111 - -11000100?\nAnswer: -1000101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(832) + (sqrt(65)\/(sqrt(5) + (sqrt(5) - 1*sqrt(5))))**2 + (sqrt(312)\/(sqrt(6)*2) + 2)**2.\nAnswer: 32 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15886.5485 rounded to the nearest integer?\nAnswer: -15887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*k**2 + 53*k**2 + 312*k - 32*k**2 - 3 + 8 as y*k**2 + g*k + d and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9718 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (0 - 28\/18). Let l = -226 + 236. Let d be l\/5 + 8\/(-5). What is the third smallest value in d, p, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 6*u - 1. Let p be (-2)\/(0 - -2) + -4. Let g = 87 - 89. Let c be (-4)\/p*(-15)\/g. Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) + (sqrt(704) + sqrt(704)*-1 + sqrt(704) + 2 - sqrt(704)))**2 + sqrt(704).\nAnswer: 48*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 - 2 = 0. Suppose -5 - 1 = -u*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in 0.1, -0.05, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 2*o**3 + 2*o**3 + (-2*o - 2 + 2)*(2 - 2 - o**2) + 1 + o**3 - 1 - 2*o**3 - o**3 + 2*o**3)*(-277 - 274 + 3028*o + 551).\nAnswer: 9084*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + -44 - -40) + 4 + (3 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309019 is divided by 522.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/7)*n)\/(n\/n**(-15)))**45 assuming n is positive.\nAnswer: n**(-4995\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-294)*(-21)\/(-2). Let d(p) be the second derivative of 0 - 5\/12*p**4 + 15\/2*p**2 + 5\/3*p**g - 8*p. Factor d(a).\nAnswer: -5*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 3*u**2 - 17*u + 100*u**2 + 30*u**2 - 2 + 20*u**2.\nAnswer: 157*u**2 - 17*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9))\/(3\/(-27)). Suppose 2*s = l*j - 354, -111 = 13*j - 14*j + 3*s. Does 30 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/22 + ((-1199)\/121 - -10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/18 and ((-917)\/(-378))\/((-3)\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(66\/36)*4\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26*(-27)\/(-36504))\/(((-6)\/48)\/(2\/(-3)))?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14202 is divided by 10997.\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 4*k + 78, 5*w - 4*k = 201. Solve -w*g + 42*g = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 < -1389\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1211)\/1730)\/((3\/(-6))\/1).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2523 = m - 2506, 4*x + 3*m = 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087597 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1307, -1558, -1809, -2060?\n\"Answer: -251*o - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219291 + 2419865\/11. Let r = t + -694. Put -3, -0.4, r in increasing order.\nAnswer: -3, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 16*b + 4. Let j be f(8). Let a be 7\/(j + -3 + 0). Let y(r) = 79*r - 12. Is y(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 3*m - 33 - 14*m - 3*m - 4*m. Let i be p(-3). Solve -20 + 1 = 2*u + 5*z, -3*z = 2*u + i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 + 46*z = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 6077\/38?\nAnswer: 6077\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 23475 = 11*w. Suppose 5*n + 9973 = 2*k, -2*n + 5257 = 2*k - w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -368 + 578. Suppose 2*r + 18 = -r. Let w be (-9)\/r*(2 + 12). What is the greatest common divisor of u and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1112166 + 5?\nAnswer: 1112204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/24*r**4 + 0 - 11\/60*r**6 - 9\/40*r**5 + 1\/12*r**3 - 7*r - 1\/21*r**7 + 0*r**2. Let q(k) = 0. Calculate k.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/358 and 149\/18.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5202 (base 7) to base 8\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162954 is divided by 389?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, y: 5}. Give prob of sequence zy.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3599946 is divided by 38708.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 424 in 13\/4, 47\/9, -2\/17?\nAnswer: 47\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168783 is divided by 2766.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.1 - -24. Let l = u - -1.2. Let f = 1 + -1. Is f >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 5. Let n = -5 - c. Let y = 53.9 - 53.72. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30344 divided by -15172\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3877053263.\nAnswer: 21893, 177091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -59*h**6\/120 + h**5\/30 + 29*h**3\/2 + h**2 - 1. Find the third derivative of w(g) wrt g.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85432 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 2. Suppose k - 8 = 4. Suppose 5*r - 2*t - 3*t - 10 = 0, -3*t - k = -5*r. Let g be a(r). What is the third smallest value in -1\/2, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7451 - -11618. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-78))\/(-3*(-9)\/(-4293))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)**(-3)\/((k*((k*k*k**(1\/2))\/k)\/k*k)\/k)**(8\/7) assuming k is positive.\nAnswer: k**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13311 (base 4) to base 11.\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 347.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200580 is divided by 33424?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.0848.\nAnswer: -0.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30984490 and 23630?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + 1. Let y = v + -101. What is the second smallest value in y, -5, 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 = -3*p, -10*r - 3*p = -14*r + 41. Calculate the common denominator of r\/(858\/(-207)) + -1 and 1\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:11 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*f = -2*p + 35, -4*f - 20 = 0. Let t = p + 8. Let r(k) = 2*k**2 + 1. Let h be r(-1). Sort t, h, -5.\nAnswer: -5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -46*v**3 - 2774*v**2 + 32. Let f(a) = 26*a**3 + 1585*a**2 - 18. Give -16*f(d) - 9*u(d).\nAnswer: -2*d**3 - 394*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 1178070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4004 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5409630 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95225 and 751252?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - -1111011121?\nAnswer: 1111012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -54*o + 41*o. Solve 4*d - 42 = -4*z - 22, 10 = o*z - 2*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -61 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = 655. Let j = 34 - 103. Let a = j - d. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41436, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 - 3\/2*a**2 + 3\/2*a**3 - 6*a. Let g(d) = 4*d - 1. What is -5*g(p) + 2*i(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/6 of a week?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3298632, 3298629, 3298626?\n\"Answer: -3*v + 3298635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woow when four letters picked without replacement from bblvovbvlwblovvl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 4:36 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttztttz. Give prob of picking 3 t.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 159. Let u be m(35). Solve -5*d + 3 = 2*f, 11*f - u*f + 24 = -4*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-204)\/85)\/(9\/30). Let z(n) = -n**2 - 24*n - 11. Suppose 5*b + 2*j = 85, -5*b + 3*j + j = -55. Calculate the remainder when z(a) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8219, -8210, -8201, -8192, -8183, -8174?\nAnswer: -8165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6796?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -24 + 24 - (-74)\/2. Suppose 4*j - 29 + h = 0. Let n(a) = -24*a - 4. Calculate the remainder when 218 is divided by n(j).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 45?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 19*d - 4. Let s be k(9). Suppose -s*u - 704 = -64*u. Calculate the remainder when 34 is divided by (u\/56)\/((-2)\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8117477925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/28*-12*(-1134)\/(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -124*u + 2. Let o(q) = -q + 18. Let v(m) = -3*m + 51. Let b(p) = -17*o(p) + 6*v(p). Give r(b(w)).\nAnswer: 124*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091017*-18.\nAnswer: 1.638306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 4, v: 1, l: 3, w: 1}. What is prob of picking 2 y and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 402, 3203, 10812, 25635, 50078?\n\"Answer: 401*g**3 - 2*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2) + 1 + -3. Let x be (-1)\/((-1)\/(-1)) + 17. Suppose -f = g + 3*f - 13, 4*f = x. Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 1. Let o be (-3 + 2)\/(1\/4). Let y be m(o). Let l = 11 + y. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*o = -5*o + 26, 3*c - 5*o + 8 = 0. Sort c, -2, 0.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2474 and 4.\nAnswer: 0.9896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 3770116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (42\/6 - 0 - 6). Sort 8, 1, p, 3 in increasing order.\nAnswer: p, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367953 + -367894. Let k = 0.2 + -2.2. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8270.762 millennia to centuries.\nAnswer: 82707.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 30) + 5 + (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and (-1280)\/384*132\/(-10)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976491.\nAnswer: 3, 108499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 361790*d + 2170744\/3.\nAnswer: -(d - 1085372)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.103036 * -1.\nAnswer: 1.103036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770634 and 14.\nAnswer: 5394438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - c**3 - 4*c**3 + c**4)*(1693 - 1693 + 524*c).\nAnswer: 524*c**5 - 524*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*(sqrt(8)\/sqrt(18) + sqrt(4)))\/((sqrt(50) - sqrt(1800))*-1)*6)**2.\nAnswer: 192*sqrt(2)\/25 + 11152\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/55 and -18\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17475402 and 10248?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30147?\nAnswer: 3, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let p(g) = g. Let o(j) = 5*k(j) - 7*p(j). Suppose 1 = h - r - 1, 0 = -3*h + 4*r + 6. Let i(d) = 27 - 6*d**2 + 15*d**h - 27. Calculate o(i(w)).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -3\/5, -4, 4 in decreasing order.\nAnswer: 4, 0.2, 0, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 217 - 8\/(-1 - -3). Suppose 0 = 5*y - 2*y + k. Let j = 102 + y. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d + 37 - 5\/2*d**2. What is s(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -207 + 143. Let l = v + 157. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-9)*g\/g**(-2\/7)*g*(g\/(g\/g**0))**(-10\/7))**(-5\/8))**(-1\/40) assuming g is positive.\nAnswer: g**(43\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/27 and 43\/2526.\nAnswer: 22734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/(n**1*n*n)*(n\/(n**(1\/4)*n))**(-46))\/(n\/(((n**2\/n)\/n)\/n*n*n)*n**(1\/9)*(n*n*n**(-6))\/((n**0*n)\/n)) assuming n is positive.\nAnswer: n**(331\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12729.923 + 12737. Let d = 1 - -6. Let f = v - d. What is f rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - i + 4 = 0, -m + 5*i - 3*i + 10 = 0. Suppose -3*f + 2*t = 14, 2*f - 5 = m*t - 17. Is 148\/f*(-60)\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 5. Let b(o) = -4*o. Determine t(b(i)).\nAnswer: -24*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17140077 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2*j + 3396064*h**2 - 583860*h*j wrt j.\nAnswer: -h**2 - 583860*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1087309 divided by 4\nAnswer: 1087309\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2389 and 370.\nAnswer: 88.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*g + 22 = 0, -g = -x + 3 - 0. Suppose -5*j + 4*p = -100, j - 5*p + 6 = 47. Suppose -2*i = 2*i - j. Solve 4*z = x*b, -i*b + 2*z = -z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z - 3. Let g(i) = 28*i + 6. Suppose -7*b + 77 = -18*b. Let h(q) = b*c(q) - 3*g(q). Suppose -3*v = -8*v - 3*w, v = -w + 2. Determine h(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, j: 1, q: 5, h: 1}. Give prob of picking 1 j and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34434*i**4 + i**3 - 2*i**2 + 49709.\nAnswer: 826416*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 39.03. Let l = -205\/7 - -29. Let m = -436 - -432. Which is the biggest value? (a) l (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, 0.064, -1\/8694, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:18 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 37*f - 51. Let k be q(-6). Let a = k - -357. Calculate the lowest common multiple of a and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 14*m - 26. What is the tens digit of w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*h - 6*h + 2*h)*(51 + 81 - 85) + (3 - 1 + 0)*(-2*h + 5*h - h) - 5*h + h + 3*h)*(0*h + 2*h - h) in the form u*h**2 + i + z*h and give u.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/9 - 775708*q\/9 - 86190 = 0. Calculate q.\nAnswer: -1, 387855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + i + 7. Let p be w(-5). Solve -5*l = p - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + 38. Let n be p(-4). Solve n*v + 4 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*a**(-2\/17)*a)\/a*a*a)\/(((a\/a**(-2))\/a)\/a))\/((a*a**(-2\/11))\/a*a**(-3\/8)) assuming a is positive.\nAnswer: a**(6641\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 5*d**2 - 4*d + 2. Let t be q(-4). Suppose 14 = -o + 24. Calculate the highest common factor of o and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 2*l**2 + 1685 - 1687 + 2*l**3 + 5*l**2 to the form j*l**2 + r*l + g + t*l**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -854892\/109 smaller than -7844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n - 3. Let v be y(-2). Suppose h + 2*f = -4*h - 15, v = -5*h - 4*f. Let c be 1*(-2 + -1 - h). Solve j - 5 = -c*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 13108*u**3 + 3*u**2 + 2*u**2 - 9317*u**3.\nAnswer: 3791*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*r - 6883 = -1075 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*w - 17*w + 29*w)*(0 + 0 + 2) + (4*w - 2*w - 3*w)*(-3 - 13 - 1) + (7 - 3 - 3)*(-5*w + 6*w - 2*w) - 2*w + 1 + 0 + w.\nAnswer: -17*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = -0. Is (25\/15)\/(s\/(-24)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643568?\nAnswer: 2, 19, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/50*(-19 - (-2 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.1, 11710, -3\/2, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 215 - 234 = 4*d, -53 = -4*d + 5*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 4:02 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 481\/7. Suppose 0 = 3*h + h - 4. Suppose n + 11*n = 0. Which is the nearest to n? (a) q (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 3*r - 364. Let p be u(0). Let z be 2\/15 + p\/30. Let b(i) = i**3 + 23*i**2 + 12*i - 17. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221102012 - -22?\nAnswer: 221102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 3 + 2*i + 4 - 4*i. Determine z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**3\/6 - 2*c**2 - 19*c. Give m(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -121795?\nAnswer: 36538.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*q + 2*q - 301595, 0 = 2*j - 4*q - 120668. Let b = -35364 - -60688. Let w = b - j. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1\/(-2)*0. Let w = -63 - -65. Suppose 0 = -w*z + 12 + 24. Put z, p, 0 in decreasing order.\nAnswer: z, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 139884.\nAnswer: -1258956","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-3) - 6\/9. Let n = 7 - d. Let l(u) = 13*u**n + 160*u - 160*u. Let j(w) = 2*w. Determine l(j(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*z - 83 - 687*z + 492*z to l*z + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - 1\/4. Let i(s) = s**3 - s**2. Let v be i(l). Let p be 2\/4 - 4\/8. Solve v = -p*z - z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71.91816ml?\nAnswer: 0.07191816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 9. Suppose 12 = -9*x + 12*x. Suppose -4*t = -x, 3*v = 5*t + 7 + 9. Let i(o) = -2*o + 10. Give v*k(w) - 6*i(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from wccgwcccdcwcgwocc?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 834 and 33.\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 871, 1306, 1741, 2176, 2611?\nAnswer: 3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 81885 in ascending order.\nAnswer: -4, 0, 81885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*((-38)\/12 - -4). Suppose -2*s - 2*s = 5*f - 41, 0 = -5*f + q. Suppose -8*g + s*g - 389 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/15 + 73296*v**4 + 2931806*v**3\/5 + 14292524*v**2\/15 + 2198848*v\/5 = 0. What is v?\nAnswer: -549712, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1130 + 88?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1216*k**3 + 2500.\nAnswer: 3648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -4 - (4 - 7) - (35 - 44).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22067\/24 - -919. Find the common denominator of 81\/122 and f.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1847?\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*r, -2*l - 2*r = -4*r. Let v be l\/3 + 6\/(-10). Let t be 1*(5 + -6)*0. Which is the third biggest value? (a) v (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 8. Let k = -2 + r. Let j = -6.08 + k. 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: Calculate the remainder when 34008373 is divided by 644.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -353152?\nAnswer: 706304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, 11, 604, 1771, 3704, 6595?\nAnswer: 10636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*y = 213, -3*t + 3*y + 35 = -2*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 18*c**2 + 75. Let m(t) = -9*t**2 - 32. Let o(d) = d**2 + 1. Let w(b) = m(b) + 2*o(b). Let v(s) = 12*w(s) + 5*z(s). Differentiate v(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*u**2 + 4*u**2 - 17*u**2)*(1 + 0 + 0)*(8 - 4*u - 8) to the form w*u**2 + z*u**3 + c + x*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*v**2 + 2023884*v**3 - 2390*v**2 - 549*v**6 - 2023884*v**3 wrt v.\nAnswer: -65880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1177579 by -78.\nAnswer: 90583\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35024 and 14378944?\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283390884.\nAnswer: 2, 191, 1679831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833850117.\nAnswer: 3, 92650013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(832) + 0 - sqrt(832))*3.\nAnswer: -192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1561, 6, 0 in descending order.\nAnswer: 6, 0, -1561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = 3*l + 53, 0 = 2*b - l - 19. Suppose 0 = 7*h - 3*h. Solve h = -5*p - 23 + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3665 is divided by 712.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16))\/((-2769)\/284)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 938 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 992 + 1308 = 596 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4637, 17585, 39163, 69365, 108185, 155617?\nAnswer: 211655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaakkwafkfkufut. Give prob of sequence atak.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 4*d. Sort 3, d, -5 in ascending order.\nAnswer: -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11893109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 234*z**2 + 5*z + 6. What is the thousands digit of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0359 and 2?\nAnswer: 2.0359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15876668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.5 - 90.51. What is the nearest to 2 in d, -3, -4, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**3\/6 + y**2\/2 - 3*y. Let k be p(-1). Let g(l) = -2 - 1 - 1 + k + 2*l**2 + l. What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18702 and 2218265.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131313 - -31440?\nAnswer: 213303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 0 + 24 + 2\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -11\/4*s**4 + 5\/3*s**3 - 5\/2*s**2 - 6 + 9*s. Let d(x) = 5*x**3 - 2*x**2 + 2*x - 4. What is -5*d(q) - 2*z(q)?\nAnswer: -3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 2. Let h(t) = 4*t - 1. Let j(w) = 3*h(w) + o(w). Is 6 a factor of j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 - 30058*l**2 + 3833245*l - 7546250 = 0.\nAnswer: -30185, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/9, -2\/17, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*c = 20, -7 = -4*c + 13. Suppose -2*v + h*j = 5*j - 57, j = 4*v - 81. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**4 + 3*b**4 + 0*b**4)*(16 + 228*b + 23 + 151 - 233*b).\nAnswer: 20*b**5 - 760*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 + 2*s - 4. Let i(t) = -3*t + 5. Let z be i(3). Let b be c(z). Solve 18 = -5*p - 2*l, b*l + 5 = -2*p + l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 + (27 - 55)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12693200 divided by 19528.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/496, -214, -5, 4?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/(-2))\/(2\/(-36)). Let w be (-40)\/(-6)*(6 + 6). Let s = w - 53. Calculate the highest common divisor of s and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49739280 and 19380?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/(3*sqrt(6)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 71 = p, 3*p - 4*t = 125 + 128. What is the remainder when 233 is divided by p?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3710 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 - 20185*y - y**3.\nAnswer: -y**3 - 20185*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9935136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - 228076\/(-192). Let f = t - 1184. Calculate the common denominator of f and 87\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*b = -0*f + 8, -43 = 3*f + 2*b. Let g(c) = -c**2 - 11*c + 15. What is the remainder when 58 is divided by g(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 143\/3*z + 1\/3*z**4 - 95*z**2 + 47*z**3 + 0.\nAnswer: z*(z - 1)**2*(z + 143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(581\/(-574) + 1) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 23 - 3*u**3 + 1 in the form r*u**3 + w + o*u**2 + s*u and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 2817.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*g**3 + 147\/2 + 7\/2*g - 11\/2*g**2.\nAnswer: (g - 7)**2*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5680\/(-2769))\/((-2)\/3) - (-98)\/(-1274).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2312*y - 16116 = -2316*y. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (9 + -5)) + -10 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.57. Let y = p + 0.07. Let s = y - -0.1. Which is bigger: -2\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-114))\/(22\/(-36))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, -3\/1237, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvt when three letters picked without replacement from tvvptptvvvttgppt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-88)\/(-14) + (-4)\/14. Suppose n - 5*p - h = 0, 2*n - 4 + 1 = p. Solve 2*q = 8, 3*q + n - 5 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 1139?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 284373 and -6.1?\nAnswer: -1734675.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjsjjtwrnrr. What is prob of picking 1 w, 1 j, and 1 s?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 294672173 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 36*b - 40. Suppose -3*c + b*r = -7*c - 38, -34 = 3*c + 5*r. Sort -2, c, 0, 5.\nAnswer: c, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -756.5290234 + 674.52887. Let w = a + 82. What is w rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 2*i**2 - i**2 - 4*i.\nAnswer: i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**3\/6 - 2*b**2 - 213*b. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42911b5 - -5?\nAnswer: 42911ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 1, e: 2, q: 3, n: 4, y: 1}. Give prob of picking 2 q, 1 e, and 1 o.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 - 4*p**2 - 12*p + 1. What is the hundreds digit of y(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -14*b**2 - 18*b + 11. Let c(p) = -3*p**2 - p + 1. Let k(z) = -4*c(z) + n(z). What is k(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 900592, 900424, 900256, 900088, 899920, 899752?\n\"Answer: -168*z + 900760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:58 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0075235 rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -69*(20\/15)\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 0, -0.4, 52, -4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038267 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {o: 2, r: 1, p: 1, j: 6, a: 10}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 433.\nAnswer: 21\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 744431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*f - 2, 5*f - 8*v = -9*v + 5. Find the first derivative of 3*q - 20 + 6 + 16*q**f + 4*q - 5*q wrt q.\nAnswer: 32*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16113*-48.4\nAnswer: -779869.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-226*l + 1078*l - 33*l)*(2*l**2 - 3*l**2 - l**2).\nAnswer: -1638*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 785 and 25?\nAnswer: 3925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/((-42)\/4) + 0. Solve 3*l + m - v = 0, -8*l + 6*l + 8 = 4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**8\/n*n*n*n)\/(n\/n**6))\/((n\/(n*(n*(n**3\/n)\/n)\/n))\/n**(-2\/15)))**(-38) assuming n is positive.\nAnswer: n**(-10184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63\/44 - 9\/44. Let h = -19 - -22. Suppose 2*k + 3*k = -l - 10, -h*l - 14 = -k. Are f and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = -18. Find d such that 10*d + d**3 + c*d**3 - 25*d**2 - d**3 + 6*d**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 860568175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**7\/294 - c**6\/70 - c**5\/140 + c**4\/28 + 17*c. Factor v(k).\nAnswer: k**2*(k - 3)*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -20*k**2 + 37*k. Let y(m) = -3*m. What is y(j(g))?\nAnswer: 60*g**2 - 111*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 43*o**2 + 12325*o + 486792. Determine i(-39).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:42 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46 + -1 + 3\/(-3). Let i be 225\/33 - 3 - (-8)\/c. Solve 4*k - i*u + 6 = -9*u, -3*u + 22 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/7)\/(176\/(-3696))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1397169 and 420039.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t = 83*t + 94*t - 3712 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 17*q**6\/6 + 7*q**2 - 15. Find the second derivative of a(n) wrt n.\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 5*h**2 - 9*h - 2. Let j = 28 + -29. Let u(q) = q**3 - q**2 - q. Let s(r) = j*l(r) + 3*u(r). Give s(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 8*m + 9*m)*(-1803*m + 465*m**2 + 1803*m) + 0*m + 0*m + 2*m**3.\nAnswer: 5117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + -0.45. Suppose -8*b = 8 + 8. Let q be (-3 - -5)*(-1)\/8. What is the nearest to q in -1\/7, f, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1431922 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 78 - 6. Let q(s) = 36*s**2 - 6*s - 14. Calculate the remainder when q(-2) is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/44*(-5610)\/(-1275)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 - (-33)\/55. Suppose 16*l + 1121 = 12*l + 3*r, -l - 4*r - 304 = z. Which is greater: l or -286?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 4)*(-4*w + 3*w - w)*(0 - 2 - 3).\nAnswer: 100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + h**2 - 20*h + 8. What is v(5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2 - 8. Let q = 7 - m. Calculate the remainder when q is divided by (4 + 4\/2)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*t**2 - 4*t - 24*t**2 + t)*(-1 - 4 - 16).\nAnswer: -84*t**2 + 63*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78\/6 - (26 + -3). What is the biggest value in -0.01, l, -139?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-2 - (0 - 1690512)). Let m be -1*(-8)\/(-20) + (-31025470)\/(-50). Let p = m - t. What is p rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54984.52 less than -0.0506535?\nAnswer: 54984.4693465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - m = 5, 0 = 2*c - 3*m - 5 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117319 = 5*h + 7*p, -3*h + 99042 - 28657 = p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - k + k + 4*k**4 + 4*k**2 - 4*k**2 + (3*k - 6*k + k)*(-3*k**3 - k**3 - 8*k**3) in the form a*k + q*k**2 + m*k**3 + d*k**4 + j and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 1:01 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 20, 17, 14, 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, g: 4, f: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-36)\/12*10\/(-3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/((w*w**(3\/8)\/w*w*w)\/w*w))**(-2)*(w\/w**(2\/27)*w*w**(-1\/5)\/w)**(7\/8) assuming w is positive.\nAnswer: w**(-83\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5587679 and -0.22?\nAnswer: -1229289.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 127*t**3 + 2*t**2 + 4*t - 11. Let s(l) = -255*l**3 - 3*l**2 - 7*l + 21. Let q(v) = -7*m(v) - 4*s(v). Find the first derivative of q(n) wrt n.\nAnswer: 393*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*s**2 + 4337*s**3 + 2 - 5980*s**3 - 252*s**2 wrt s?\nAnswer: -9858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Let o(y) be the second derivative of -557*y**3\/2 + 4*y - 1025. Determine i(o(a)).\nAnswer: 3342*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/4 + 8*h**3\/3 + 9*h**2\/2 + 4*h - 2. Let c be z(8). Let x = -37 + c. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18043708757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 19*k - 9*k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, y: 8}. Give prob of picking 2 n.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*b = -3*b - 179, 398 = 5*x + 4*b. Let t = x - 7. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -38. Let p(i) = -i**3 + 10*i**2 + 2*i - 11. What is the smallest common multiple of p(x) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 147 - 53. Suppose 5*r = 18 + x. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/3 + 197*s\/3 - 26.\nAnswer: -(s - 39)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 23.\nAnswer: 76\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from azkazzzkhha?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9)*3 - (-9)\/7. Put -3\/4, u, -5 in increasing order.\nAnswer: -5, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jooououod. What is prob of sequence jo?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100796*l**5*p**3 + 12*l**2*p + 16*l + 36*p**3 wrt l?\nAnswer: 6047760*l**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16921.45041 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/3360 - k**5\/20 - k**4\/12 + 7*k**2. Let h(x) be the second derivative of y(x). Find the first derivative of h(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*d - 72, -4*z - 2*d - 184 = -8*z. What is the remainder when 131 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 79*a - 70. Let r be v(5). Suppose 227 + r = 8*g. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = 102 - 4 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5552921 to three decimal places.\nAnswer: 1.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/24 and -83\/654?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -93669408250 - -2?\nAnswer: -93669408248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c + 5*t + 95, 0 = -5*c - 3*t + 71. Suppose -2*v - 156 = -5*k + 167, -5*k = -3*v - 327. Calculate the remainder when k is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43146869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 21 = 3*k, 8*m + 70*k - 67*k = 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4000603 - -0.17?\nAnswer: -4000602.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35345 - 35345.7. Put -0.1, -5, -0.01, s, 1\/30 in increasing order.\nAnswer: -5, s, -0.1, -0.01, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 50*t - 60*t. What is the remainder when 79 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-21))\/(-1*6\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2059, -4136, -6213, -8296, -10391?\n\"Answer: -q**3 + 6*q**2 - 2088*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2348816511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 295.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 120 - 2a4ac7?\nAnswer: -2a49a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from arrrrrrrrarrra?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i - 8*i + 54 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 8 + 0)*(-34*s + 333 + 36*s - 107).\nAnswer: 10*s + 1130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 579*j = -572*j - 36, -56 = 4*p - 5*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/24)\/(6\/(-4)). Let f(o) = -o + 4. Suppose 9 + 6 = 5*h. Let y be f(h). Which is greater: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7*9\/63)\/((-2)\/(-2986)). Which is smaller: k or -1490?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose b = -3*l - b, l = -2*b. Solve 4*d + l*d - 16 = q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1518266 or -1518274?\nAnswer: -1518266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r - 78 = -5*u - 32*r, -2*u + 5*r + 35 = 0. Suppose 87893 + 126112 = u*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 340*k - 4357. Calculate o(-156).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 1\/3, 2\/3, -1\/2, -51, 3.611?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(3 - 2)\/(21\/(-84)) + -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -3 - 2) + (-840)\/(-385). Let g = -1 + 0.6. Let i = g + 0.38. Sort i, f, 1\/2 in decreasing order.\nAnswer: 1\/2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 = -5*y + a + 4*a, 4*y = a + 996. Let u = 248 - y. Let v(r) = -5*r**2 - 1. Calculate v(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 + 6*c. Let p be w(-4). Suppose -404 = 4*n + p. What is the units digit of -3*n\/(-15)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4766*r = 4753*r + 134888. List the prime factors of r.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/186354 and 79\/26622?\nAnswer: 186354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*o - 6 - 2 = 0, -4*b = -o - 4. Suppose -y - z + 45 = b, z + 32 = y - 7. Let p = y - 18. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31905, -63810, -95715, -127620, -159525?\n\"Answer: -31905*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233, 558, 1107, 1880, 2877, 4098, 5543?\n\"Answer: 112*v**2 - 11*v + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111212 + 12?\nAnswer: -111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -574111.664 rounded to the nearest 100?\nAnswer: -574100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 0. Let p = k + 1. Let n be 1860002\/2 - (p - -3). What is n rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*r - 1372 - 406 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1685, -0.3, -0.01, 6\/7 in descending order.\nAnswer: 6\/7, -0.01, -0.3, -1685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/(-6)*(-6)\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14980315, 14980310, 14980293, 14980258, 14980199, 14980110, 14979985, 14979818?\nAnswer: 14979603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0*b**2 - 4*b**2 - 7)*(3*b - 3*b + 2*b).\nAnswer: -8*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + -4. Let d = i - -23. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 366. Let u = f + 1348\/11. Which is the closest to 0.2? (a) u (b) 2\/9 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 d, and 1 e when four letters picked without replacement from hdhjaedjdhhdde.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(15\/(-9) + 0). Suppose -2*p + 2*z + i = 0, p - 3*z + 3 = 4. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -727 - 8\/2. Round p to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0 + 0 + 2*j**2)*(13*j**2 - 509*j + 509*j).\nAnswer: 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k + 556. Let t(j) = 11*j - 656. Calculate -3*f(a) - 2*t(a).\nAnswer: 11*a - 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163899689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 w, and 1 n when four letters picked without replacement from {g: 2, c: 9, w: 3, n: 2, i: 1}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z**3 + z**2)*(z**2 + 3*z**2 - 2*z**2) + z**5 - 8*z**5 - 2*z**5 - 4*z.\nAnswer: -13*z**5 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 22. Let r(s) = 0*s**2 + 1 + 6 + 0 + s**2 + m*s. Let o be r(-14). What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 16 = 4*g, g + 4*u + 944 = 953 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*v = -10, 3 = -2*c - 2*v + 11. Put 0, -12, c, 5 in increasing order.\nAnswer: -12, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 - 2.8. Let z = n - 1. What is the second smallest value in -0.05, z, -0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1584\/(-189))\/(266\/2793)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.215 - 0.285. Which is the nearest to -2\/7? (a) g (b) 2\/13 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.33 - 17. Let k = o - 14.33. Let v = -22 - k. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 30. Calculate the common denominator of (-66)\/b - 10\/(-45) and 57\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 3:42 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9 + 8*f**2 - 16)*(2*f - 3*f + 0*f).\nAnswer: -8*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 542588665 to the power of 1\/2, to the nearest integer?\nAnswer: 23294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 4, w: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 - 2016\/(-120))*25. Let m be -25 + (-1 - (-1 + 0)). Sort x, -2, m, 0 in descending order.\nAnswer: 0, -2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 1, b: 1, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 5*g + 9, -2*l + 15*g + 4 = 21*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -172, -173, -174, -175?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 o when three letters picked without replacement from trkuxxxtoooktot.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -12 - (116 + -140 + -46)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*a - 3 + (-4 + 1 + 2)*(1 + a - 1))*(2*a + 1 - 1)*(-2*a - 2*a + 0*a) to the form j + b*a**2 + g*a + m*a**3 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u**2 + 2*u + 60*u**2 + 25*u**2 + 28*u**2 + 86*u**2 in the form i*u**2 + m + q*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-12) + 2\/1. Let t be 329\/3 - 4\/6. Suppose -34 = y*i - t. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5244 - 5?\nAnswer: -5249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64\/99 - 1\/11. Let z = 756203 - 4526029\/6. Let p = z + -1858. Calculate the common denominator of o and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 59*p**2 + 67*p + 438. Let v be j(-60). Let i be (0 + -9)\/3*-57. What is the highest common factor of v and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.49 times 23229.1\nAnswer: -34611.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7421 divided by 59.\nAnswer: 7421\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -114676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Let g(i) = -4*i + v + 5*i**2 + i**2 - i**2 - 7. Is g(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678.6581ml to litres.\nAnswer: 0.6786581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.3369 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60.54945l?\nAnswer: 60549.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 277376320*x - 9617202862092800.\nAnswer: -2*(x + 69344080)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + 46. Suppose -3*q + g + 90 = 0. Suppose 0 = 2*t + 2*u - 156, -t + q + 10 = -4*u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 3*y = 60. Let j be (-1076)\/11 + (-4)\/22. Let o = j + 208. Calculate the greatest common divisor of y and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**4\/12 + x**3\/2 + x**2. Let t be z(16). Suppose f - t - 84 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*x - 5*z, 22*x - 18*x - 5*z = -21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2 + (7 + 0 - 2)*(17 - 1 - 4))*(-9 + 9 + 10*n).\nAnswer: 610*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 13) to base 7.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*2*sqrt(19) + sqrt(513)\/sqrt(3)).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -10?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 96.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**2*x**3 + 28*s**2 + 3*s*x + 52*s - 10*x**3 - 66*x**2 wrt x.\nAnswer: -6*s**2*x - 60*x - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -2 + sqrt(275) - sqrt(275)) + 2 + sqrt(275) - (2 + (sqrt(275) - (-1 + sqrt(275))**2) + sqrt(275) + sqrt(275) - sqrt(275)).\nAnswer: -10*sqrt(11) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1495 + -1499. Let z(v) = 8*v**2 + 7*v - 8. Let r(t) = t**2 + t - 1. Let o(w) = 18*r(w) - 2*z(w). Determine o(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/14 - 47\/(-7) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1422 + 122?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 6:27 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659887 is divided by 553289?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -318*p**3 + 10*p**2 + p + 309*p**3 - 13 - 1732*p**3 + 3. Let q be b(10). What is q rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/5 or -2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 197992681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*x**2 - 2*a**3 - 8*a**2*x - 168*a*x**2 - 2*a*x wrt x.\nAnswer: 4*a**3 - 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 3, e: 7, t: 7, c: 1}. What is prob of sequence lv?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - 6*v + 5. Let k be l(-7). Let s(n) = n + 11. Let r be s(k). Is 10 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 divided by -37.\nAnswer: 408\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25\/4? (a) 0.1 (b) 2\/3 (c) 1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 11*v - 5. Suppose 0 = -0*b - 5*b + 2*l - 127, l = -4*b - 112. Let p = 15 + b. Is r(p) 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 11:09 PM and 2:40 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12300\/232 + 675\/(-39150) - 26\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15364208 and 1246544?\nAnswer: 7376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 3*r**2 + 5*r - 16. Let a be f(5). Let y be -12 + (1 + -3 - -2). Let b = y - a. Calculate the highest common factor of b and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -160. Let u = y + 157. Solve 5*i - t + 3 = 21, u*t + 8 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 204842055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -159, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from izzziiii.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*q + 7, 4*q - 4 = -h - h. Solve 0 = 5*c - 15, -c = -t - h*c + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a413 (base 11) to base 7\nAnswer: -330212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {e: 3, d: 1, b: 1, n: 6, z: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 822 - 796. Calculate the remainder when 172 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Let j(c) = 6*c - 2*c + 2 - 23 + 6*c + 33. Let u(g) = -3*g - 4. Determine n*j(d) + 16*u(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13230 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 6*x - 42. Give t(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00139044 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/3, -1\/8, -3\/10, -7\/4, 1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 11 + 5*s + 15.\nAnswer: 5*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + 3*u - 28, 3 = -b - 2*u. Let t be (-3 + 1)\/(b + 3). Which is bigger: t or -3\/76?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 6?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86990294 + -29390294. Suppose -9*f + 13*f + a = 0. What is f rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2 - 23) + (193 - 159).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -h, -2*h + 5*l - 19 + 21 = 0. Let x(t) = -t**2 + 5*t - 2. Let c be x(5). Sort h, -5, c, 9.\nAnswer: -5, c, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + 43.16. Let c = -43.1 + s. Sort 3, c, 0, 4 in ascending order.\nAnswer: c, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + o + 3. Let l(b) = -35*b + 6 - 6 + b**2 + 34*b. Let w(k) = -5*l(k) - m(k). What is w(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*s = -20138 + 42406 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 1, u: 1, w: 2, i: 2}. Give prob of picking 1 i and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wggggrwrw. What is prob of sequence wr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 36) + (-23 - -4) + 63.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (9 + (-8 - -6)) - -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**8\/26880 - p**7\/5040 + p**6\/2880 - p**4\/12 - 3*p. Let t(q) be the third derivative of r(q). Suppose t(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*s - 26 - 122*s - 45)*(2*s**4 - 3*s + 3*s).\nAnswer: -2*s**5 - 142*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**3 - 2*o**4 + 2*o**4 + (-o**3 - o**3 + 4*o**3)*(-3*o + o + 3*o).\nAnswer: 4*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**2 - 6*t + 1. Let r(m) = 10*m**2 + 9*m - 2. Suppose -9*c + 22*c + 0 = 65. Give c*r(i) + 7*h(i).\nAnswer: i**2 + 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4125945 is divided by 267?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 62 + 3*p**3 - 1688*p + 46 + 1553*p + 24*p**2 = 0?\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 - 25425*b**3\/7 + 6216*b**2 + 14508*b\/7 = 0?\nAnswer: -2\/7, 0, 2, 1209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 123 = -177 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3211*n - 3*n**2 + 234 + 9654*n - 3183*n - 3191*n = 0. What is n?\nAnswer: -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(28\/8))\/((-3)\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -184017, -8, 1 in decreasing order.\nAnswer: 1, -8, -184017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**4 - k**3 + 6*k**2 - 18*k**4 + 0*k**3 + 29*k**4 to the form r*k + m*k**2 + p*k**3 + b + d*k**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.07 - 29.4. Let u = v - 1.6699705. Round u to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7443 + -7443. What is the closest to 38 in b, -2, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279204 is divided by 19892.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otottjjjjt. Give prob of picking 2 t and 2 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 139.7 * -78\nAnswer: -10896.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113565 = 3*t - 6*t + o, 0 = -2*t + o + 75707. List the prime factors of t.\nAnswer: 2, 23, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = -42*x + 35642. List the prime factors of x.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.1522 * 0.1\nAnswer: -3.01522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16795 + 29105. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a day in hours?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 35*w + 29*w + 135*w**2 + 61*w - 7.\nAnswer: 5*(w + 1)*(27*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/11 (b) -5\/6 (c) 528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let x(n) = -176*n**2. What is i(x(m))?\nAnswer: -352*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11.13584 + -18513\nAnswer: -18524.13584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338776*j**2 - 12*j**3 + 1338776*j**2.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7688159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**7\/21 - 29*g**6\/90 - 37*g**5\/60 - 11*g**4\/36 + g**3\/6 + 2*g - 77. Let s(i) = 0. Calculate i.\nAnswer: -3, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23078\/20933 - (-92)\/(-7958)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose 2*g + 86 + 108 = x. Let u = -58 - g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531975065 to the power of 1\/2, to the nearest integer?\nAnswer: 23065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.0972 meters to micrometers.\nAnswer: 18097200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -253, -249, -245, -241, -237, -233?\n\"Answer: 4*v - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 961*y**4 + 174*y**3 + 36*y**2 - 46*y + 34 wrt y.\nAnswer: 23064*y + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmnmn. Give prob of sequence mn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2015*h**2 + 517535*h + 1339770 = 0. Calculate h.\nAnswer: -7881\/31, -34\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 41153501210?\nAnswer: -41153501204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.95 - 1. Let o = r - -1.05. What is the closest to o in -3, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 307.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 407 + 14 + 281 = 0 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220504 is divided by 31495.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -7)*(-2 - -3). Let f be 3760 - j\/((-6)\/8). Find the third derivative of 30*k**4 + 0*k**3 - 3747*k**2 + 0*k**3 + f*k**2 wrt k.\nAnswer: 720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*f + 20, 5*f + 2*v - 12 = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 5. Solve -t - 15 = -n*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/20*(-4)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a009b (base 16) to base 14.\nAnswer: -9035d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, j: 2, p: 1, y: 4}. Give prob of picking 1 p and 3 q.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163.869 + 164. What is u rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2866, 11461, 25786, 45841?\nAnswer: 71626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421422387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 - -286. Suppose -942 = -3*l - q*d, 3*l = -l - 4*d + 1260. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*d, 4*d - 12 = -3*u + u. Suppose -i + 4 = 0, -u*m + 2*i = -0*m + 4. Suppose -2 = m*w - 16. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 659, 1006, 1373, 1766, 2191, 2654, 3161?\nAnswer: 3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 42340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -47\/6825?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11844)\/235)\/7*15\/3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5839 is divided by 365.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**3 + 2684*z**2 + 1613*z + 283. Determine n(269).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1\/5))\/j)\/j**(-2\/13))**(-9) assuming j is positive.\nAnswer: j**(-207\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 126*z**2 - 3*z**3 + 150*z**2.\nAnswer: z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5002762 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n + 167 + 448 = -0*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11291 in 3\/4, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 179323851.\nAnswer: -179323851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 210 = 18*w. Does 2 divide 5\/(-10) + w\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*q**5*z**2 + 13*q**3*z**2 + 2*q**2*z - 271*z**2 wrt q?\nAnswer: 3480*q**2*z**2 + 78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h - 1 + 12 + h + h**2 + 1. Let t be s(-8). Put 3, t, 2 in decreasing order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*z + 6*z - z)*(-56 + 31 + 7) - 2 + 2 - z to t*z + b and give t.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88920)\/((-4)\/(128000\/12)). Suppose 11*g + 2*g = -n. Round g to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7*c = -2112. Let v = -239 - c. Solve 20*r = v*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37938445*d**2 - 5*d - 4680397 wrt d.\nAnswer: -75876890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 18 - 13. Let f(q) = -v*q + 2*q - 3*q. Let i(r) = 5*r + 4. Let t(j) = -14*j - 11. Let a(o) = -11*i(o) - 4*t(o). Give f(a(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c + 11. Let k be 24327\/(-4131) + 8\/9. What is z(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**2 + 278858064*g + 39836866 = 0. What is g?\nAnswer: -19918433, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3211*b**3*m**3*u**2 + b**3*m**3*u - 2*b*m**3*u - 2*m**2*u + 119*u wrt u.\nAnswer: -6422*b**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a + -437?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/3 (c) 169708 (d) -0.3 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -556*a**2 - 559*a**2 + 1120*a**2. Suppose 4*c - 4*z + z = 8, -3*c - z = -6. Let k(b) = 6*b**2 + 0*b**2 - 5*b**c. Give k(j(t)).\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -51. Let i be g - (-1)\/2*22. Solve 2*s + 19 = 2*c + i*s, -6 = 3*c - 4*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16929, -33847, -50765, -67683, -84601?\n\"Answer: -16918*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + w = 168, -3*i + 133 = -0*i - w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2096 = 4*w. Suppose -w = -5*k + 1461. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 0*d + 4*d)*(-40 + 16 - 8 + 5 - 3 - 1 + (0 + 4 - 3)*(-6 + 2 + 3))*(-d + 3*d + 0*d).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 28*i - 5. What are the prime factors of o(-6)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 9*w**2 - 10*w + 5. Let k be a(10). Suppose k*o - 9 = 3*z - 34, -3 = z + 4*o. Solve 0 = z*n - 20, -4*f + 2*f - n + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 24*j**2 - 1. Determine c(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 901, 999, 1157, 1375?\n\"Answer: 30*o**2 + 8*o + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Find the second derivative of -85*i + 84*i - 6*i**w - 13*i**4 wrt i.\nAnswer: -228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*d - 839*d - 541*d + 32373 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/30 - f**5\/15 + f**4\/3 - f**2. Solve w(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/15, 118, -0.5, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834 + 813 = -2*c - 5*b, 0 = 25*c - 4*b - 63 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**4 + 2790*n**2 - 17258*n - 546660178.\nAnswer: 4*n**3 + 5580*n - 17258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7249*t + 79674. What is n(11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5*b - 25, -2*c - 3*b = 2*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = 2*i. Let x(k) = 3*k - 5. Let s(u) = 3*u - 4 - 4*u + 3*u. Let q(n) = i*x(n) + 5*s(n). Let t(l) = -3*l. What is t(q(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(343) - ((sqrt(343) + sqrt(343) + (sqrt(343) - (sqrt(343) + -2 - sqrt(343))))**2 + sqrt(343))).\nAnswer: -3091 - 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 322 + 22 = 0. Let a be (13 - c) + -2 + 6 + 6. Solve 6*d - 10*d = -a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:43 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.121 (b) 0.2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/4))**(23\/3)\/(v**(-2)\/((v**(-2)\/v)\/v)))**46 assuming v is positive.\nAnswer: v**(345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) 2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -16)\/15 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2143 + 6560. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -1\/15*d**4 + 0 - 1\/15*d**3 + 0*d**2 - 1\/50*d**5 + 3*d. Factor c(b).\nAnswer: -2*b*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 283, -54, -391, -728?\n\"Answer: -337*i + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1*sqrt(637) + sqrt(637))*-4 + -1 + -3*sqrt(637) + 4))**2.\nAnswer: -2016*sqrt(13) + 91872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 642, 580, 520, 462, 406, 352?\n\"Answer: z**2 - 65*z + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3740 = 1286. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i = -3*g - 94*i + 1653, 4*g - 3*i = 2213. What is the least common multiple of 880 and g?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-13)\/(-2))*4 + -18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*l + 19. Find the first derivative of -38 + 25*c + l*c + 10*c wrt c.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/25)\/((-4)\/(-10)). Let k = -2 - -2.5. Let p = k + 0. Which is the second smallest value? (a) p (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -35*h - 5. Let r(f) = -18*f - 3. Give 4*j(c) - 7*r(c).\nAnswer: -14*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01799544 rounded to four dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1620) + -2*sqrt(1620))**2 - (sqrt(180)\/(sqrt(36) + sqrt(4)) + (sqrt(405) + -4)**2).\nAnswer: 285*sqrt(5)\/4 + 1197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 28*y**2 - 5*y - 331. What are the prime factors of h(-32)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 2012101211012?\nAnswer: 2012101211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.6261 and 0.3.\nAnswer: 11.88783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x**(-1))\/x*x)*x)\/(x**(-1\/9)*x))**(-2\/3)\/(x**(-4\/9)*x*x\/(x*x**(-1))*x**(4\/9)*x**(1\/2)*x) assuming x is positive.\nAnswer: x**(-193\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/2*21\/(-14). Which is the closest to 8? (a) x (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -19*x**10\/5040 - x**6\/90 - 5*x**3 - 5. Let v(z) be the third derivative of j(z). What is the third derivative of v(o) wrt o?\nAnswer: -2280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*s - 18*s**3 - 130*s + (-2*s**2 + 0 + 0)*(-4*s + 3*s + 2*s) - 2*s**3 - s**2 + s**2 to the form x*s + f*s**3 + w + g*s**2 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 436, 1059, 1930, 3049, 4416?\nAnswer: 6031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000188231 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9310\/532*4\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-42))\/(2\/(-14))*13\/((-78)\/366)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0914 - -7.0914. What is the nearest to d in -16, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 + 138603a?\nAnswer: 1385c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 12, -11*f - 372 = -4*r - 8*f. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23351 is divided by 1112?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5169, -12411 in descending order.\nAnswer: 5, 4, -5169, -12411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2845 is divided by 474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-48)*-4 + (-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*a + o + 44, 0 = -4*a + 2*o + 84. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*l + 8*l - 1 = 0, 19 = c - 5*l. Let t = 50 + -52. Let h = t + c. Solve h*n + 5 = 7*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:51 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66252 is divided by 1227?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/16761 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*p + 8, -3*s + 0*p + 19 = 2*p. Let k = -112 + 212. What is the tens digit of k\/s*18\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1431584 and 932624.\nAnswer: 1083709088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 + 11704965*s + 11704970 = 0.\nAnswer: -1, 2340994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(1*(-5)\/30). What is the highest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Let y(g) = -g + 5. Let c be y(u). Let z(p) = 1. Let q(l) = -l**2 - 3. Let o(s) = c*q(s) + 3*z(s). Let i(v) = v**2. Give o(i(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 865*c + 13090.\nAnswer: -5*(c - 187)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4 + 108*j**3 - 228*j**2 + 116*j = 0.\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1645*i - 1950*i - 30195 = 0 for i.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098110161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (35 - 18) - (10 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 + 21 = 0. What is the tens digit of 350\/x + 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1996 - -2425. Calculate the remainder when c is divided by 110.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let v be 4\/(-18) + 32\/(-18). Let m be v + -1 + 26\/10. Which is the smallest value? (a) z (b) -1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -7. Let k(r) = 34*r + 159. Let c be k(-2). What is the highest common divisor of c and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 3997596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.042344753 - -3.04216. What is y rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5650493 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 70 (b) 2\/13 (c) -1\/6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -14*q + 1424. Solve 0 = 94*m - q*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945653237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 10 - 2. Suppose 0*d = b*d. Let t(w) = -2*w**3 + 3 + d*w - 4*w + 3*w**3 + 4*w**2. Give t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873233 is divided by 203?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 3*m - 24 = 36*p, 3*p = 4*m - 10 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2595, 2577, 2559, 2541, 2523?\nAnswer: 2505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:58 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8995505.\nAnswer: 5, 103, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:45 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2201*h**2. Let y(d) = -2*d. Calculate p(y(b)).\nAnswer: 8804*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = p - 30, 5*z - 6*z + 70 = 5*p. Let q = p - 10. Solve -3*a - q = 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-16)*a**8)\/(a**(-5\/6)\/a*a*a\/(a*(a\/(a*a**5*a))\/a)) assuming a is positive.\nAnswer: a**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4960?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*2 - (sqrt(35)\/sqrt(80) - sqrt(7)).\nAnswer: 99*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 251 and 4319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18795\/2788 + 6\/697. Let w = -139\/20 + h. Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.05612 - -3.058. Round x to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78620 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(-2)\/(-10). Suppose -2*z - 6*z = 0. Which is the nearest to -1? (a) z (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3084503 and -1.2?\nAnswer: -3701403.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, -0.5, -6.6, -2\/11?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -10559\nAnswer: -5\/10559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5825.2 + -1912.\nAnswer: 3913.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9640 - -9632. Sort 4, -1, 0, -2, b in descending order.\nAnswer: 4, 0, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tytt when four letters picked without replacement from {y: 2, t: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -442383.55 to the nearest 100.\nAnswer: -442400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let p(v) be the second derivative of 37*v**4\/12 + 65*v**3\/3 - 2151*v - 1. Calculate p(m(a)).\nAnswer: 37*a**2 + 130*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -265 + -21?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 19*y + 4268 = 0. What is the remainder when y is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpppupuup. What is prob of picking 2 u and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 60928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852173 is divided by 3859.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 - 5*x + 70. What is y(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + g + 57 + g.\nAnswer: 2*g + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(242) + sqrt(242) + -2 + sqrt(24)\/(-2*sqrt(12)) + (sqrt(12) + sqrt(12) + (sqrt(1200)*-3 - sqrt(1200)))\/(-6*sqrt(150) + sqrt(6)).\nAnswer: -3 + 1323*sqrt(2)\/58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqf when three letters picked without replacement from {f: 3, l: 4, q: 3, z: 1, n: 2, c: 2}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10551 divided by -5?\nAnswer: 10551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 6 = -19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -781856039\/574 - -1362119. Let p = 3\/82 - j. Which is the third smallest value? (a) 0.05 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8331, -13559, -18803, -24069, -29363, -34691, -40059?\n\"Answer: -o**3 - 2*o**2 - 5215*o - 3113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3385029?\nAnswer: 3, 293, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1168\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = -b, -5*b - 15 = c + 2*c. Let y = b - -5. Calculate the remainder when y - (47 + -2)\/(-1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 12. Let w be h(-4). Suppose 20 = w*y - 0*y. Solve -3 = -k - y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 54 = 3*r - d, -4*d - 6 = -r. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:32 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 27*a - 626. Let b be c(17). Solve -408*g + b*g + 18 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, a: 1, s: 5, p: 1, c: 2, x: 6}. Give prob of sequence xjxa.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p + 4*p**4 - p**3 - 14*p**4 + 23 + 12*p**4 to u*p**3 + j + o*p**4 + w*p + r*p**2 and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, -16\/11, 4\/3, 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q + 2. Let l(o) = o**2 - o + 1. Suppose 13*f - 8*f = -5. Calculate f*j(u) + 2*l(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 1. Suppose w*v = 3*v + 6. Solve -f = -2*d - 2, 2*d + 0*d = -v*f - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:32 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 106.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*t + 3452, -2*n - 8*t + 7*t - 3456 = 0. Is 106\/5*(-13)\/(52\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4) - 1)\/(((-1230)\/(-1010780))\/(-41)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 + -13.7. Let a = 424 + -1180. Let b = -756.1 - a. Sort b, x, 1.\nAnswer: x, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(405) + 1 + sqrt(10)\/sqrt(2) - ((-1*sqrt(175))\/sqrt(7))\/sqrt(5).\nAnswer: 1 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.47 - -0.67. Let a = 9.4 + u. Let q = 3 + -2.8. What is the nearest to q in a, 3\/4, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(1 - 1 - 3*t) - 2*t + t + 3*t)*(0*t + t - 2*t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -844440 divided by 3405\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 46\/(8\/(-6) - -2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 62689899?\nAnswer: 188069697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = o + 4, -4*o - 3*i = o + 16. Let y = 38 + o. Let u = 149 + -59. What is the highest common factor of u and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655, -1302, -2007, -2800, -3711, -4770, -6007, -7452?\nAnswer: -9135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -43, -63, -83, -103?\n\"Answer: -20*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*g + 6, 35*g - 39*g + 42 = 2*i. Solve -i*h - 51 + 15 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5160.811 nanometers to kilometers.\nAnswer: 0.000000005160811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/334883 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21085 - -21086. What is the closest to 2\/5 in u, -7\/46, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -228*d**2 + 25307*d - 25307*d. Let q(f) = -25*f. What is n(q(l))?\nAnswer: -142500*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/418 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/55 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i**0*i))*i))\/((i**(1\/3)*i)\/i*i*i))**18\/((((i*(i\/i**(2\/5))\/i)\/i)\/i)**(-34\/5))**17 assuming i is positive.\nAnswer: i**(-5546\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/5 (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/49)\/((-14)\/((-5488)\/35))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*l + 4*g - 12, -8 = 4*g. Suppose o + 20 = l*o. Let h be 8\/(-7) + (-2)\/7. Which is the nearest to 1? (a) o (b) h (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -31 + 35 - -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 4*g. Suppose g + 10 = p. Suppose 5*y = 2*i - 2 - p, -3*i + 2*y + 17 = 0. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 3201700 - 685573 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - i**2 + 20*i - 10. Let d(r) = -r**3 + 3*r - 2. Calculate 5*d(g) - k(g).\nAnswer: -3*g**3 + g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: (-3*(-374)\/(-153))\/(90\/54)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-5*g - 3 + 4*g + 9*g)*(0 + 2 - 1)*(-2*g**2 - g**2 + 2*g**2).\nAnswer: 16*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 955230 and 714?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -33?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/248*3\/((-3)\/10). What is the biggest value in 1, -11, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*o)*(-o - 2*o + 2*o) + 4*o**2 + 5*o**2 - 5*o**2)*(o**2 + 2 - 2 + (-3*o + 3*o - o)*(-2*o - 2 + 2)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 21528, 1\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7*v*v)\/((v*v*v*v**(-4\/7)\/v*v)\/v))\/(v**(3\/2)*v**6) assuming v is positive.\nAnswer: v**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28793450 rounded to the nearest 100000?\nAnswer: -28800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -787.86 + 362197258?\nAnswer: 362196470.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7093*c**4*q**3 + 33*c**3*q**3 - 2*q**3 - 929*q**2 - 2 wrt c?\nAnswer: 28372*c**3*q**3 + 99*c**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -37*z**3 - 7*z**2 - 7*z + 18. Let b(m) = -18*m**3 - 3*m**2 - 3*m + 8. What is -9*b(f) + 4*g(f)?\nAnswer: 14*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4 + 4*h**3 - 25*h**2 + 22*h + 5?\nAnswer: 24*h**2 + 24*h - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2*z**2 + z - 6. Let m(n) = 1. Let o(i) = 4*m(i) + p(i). Differentiate o(w) with respect to w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*m - 162*m + 51 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46230 and 0.04.\nAnswer: -1849.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*w - 2*w - 439, w = -5*h + 448. Let k = h + -60. Is 29 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0.2, -1208, 5 in descending order.\nAnswer: 5, 0.2, -4\/5, -1208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/74*199\/796*2\/(-12)*-4\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:54 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 208217173 to the power of 1\/2, to the nearest integer?\nAnswer: 14430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c + 293. Determine y(21).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -0.0481.\nAnswer: 0.0519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 2)*(0*c**3 + 0*c**3 + c**4)*(-7 + 8 - 23) to the form p + w*c**4 + m*c**2 + v*c**3 + q*c and give w.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + a - 3. Suppose -50*b - 14 = -48*b. Does 10 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/21 (c) 0.069 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 462773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-24))\/((-10)\/(-4)). Which is the nearest to 1\/4? (a) 0.4 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 82501.49 hours?\nAnswer: 4950089.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -23*z**3\/6 + z**2\/2 + z - 21. Calculate j(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {z: 4, g: 2, w: 1, y: 1, f: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8699*y + 8703*y + 8669*y - 26104*y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 3*n**2 + 3*n - 5. Let l be (-1)\/(-3) + (-20)\/(-12). Suppose -q = -l*q. Suppose 2*k - 4*g + 4 - 20 = q, -3*k - 3*g = -6. Determine p(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116309 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 2898 = -h. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18203 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 - 6*z + 6. Let r be 1*(6 + -2 + 1). Let g be p(r). Let t = g + 69. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2149 and 77?\nAnswer: 23639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1071 + 3791 = 20*z. Calculate the highest common divisor of 51 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) -6 (c) -3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 2. Let t be u(-1). Let j(a) = 31*a**2 + 2*a - 1. What is the units digit of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -768, -980, -1192, -1404, -1616?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -75*m - 3114. Calculate x(-43).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzmr when four letters picked without replacement from {n: 2, m: 5, z: 2, r: 3}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/10 and -17\/1410.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + 73*x - 5. Let a be b(9). Suppose -4989 = -a*q + q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. Let t be m\/((-2)\/14*1). Suppose 0 = t*c - 2*c - 130. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2. Let n(p) be the first derivative of p**3\/3 + p + 1. Give g(d) - n(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*m + 17*m - 2433 - 1131 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 8*k**2 + 12*k + 12. Calculate j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 168 = -2*s, 14*f - 9*f - 332 = -4*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-366)\/9*-1*2*-3)\/((-7956)\/1989).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -20.66. Let o = k + -0.06. Let q = o - -0.9. Which is the third biggest value? (a) 1\/5 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 27209?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1403, 2875, 4393, 5963, 7591, 9283, 11045?\nAnswer: 12883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51661 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 1. Let d(s) be the third derivative of -s**5\/20 + s**4\/24 + 13*s**3\/2 + 9*s**2 - s - 20. Calculate d(a) + 4*n(a).\nAnswer: a**2 + a + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/744 and 71\/264.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlc when three letters picked without replacement from {l: 2, g: 2, c: 1, j: 5, d: 2, r: 5}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 20 = -18*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -0.5 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867.091 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(2*sqrt(108)) - (2 + (sqrt(112))**2 + -4).\nAnswer: -110 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -11*c**2 + 0*c**3 + 0*c - 5\/6*c**4 + 0. Let m(o) = -o**2. Give m(v(p)).\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 56. Let g be f(0). Suppose g = -b + 5*b. Is b*((-4)\/8 - -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 - 37385*h\/6.\nAnswer: h*(h - 37385)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 641\nAnswer: 114\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*l - 6*q + 50, l - 2*q = -20. What is the units digit of (-51)\/(-4) + (-4)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (2 - -2) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 divided by -4?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13107200 + 2\/5*v**3 + 122880*v + 384*v**2.\nAnswer: 2*(v + 320)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48427a1 (base 11) to base 16.\nAnswer: -80bc64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 279*d**2 - 424*d + 141. Let f be q(141). Factor 0*t**2 - 2\/7*t**3 - 2\/7*t**4 + f*t + 0.\nAnswer: -2*t**3*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 0*o + 0*o)*(5*o**2 - 5*o**2 + 2*o**2 - 1 - o).\nAnswer: 4*o**5 - 2*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + z, 3*d + z + 0*z = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 7\/2, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let b = -1087 + 1089. Let h(t) = -6*t**2 - 27*t - 27. Calculate b*h(c) - 54*w(c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1363)\/(-9541))\/(52\/(-4))\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -3*t**5\/100 - t**4\/12 - t**3\/15 - 4*t. Suppose p(h) = 0. Calculate h.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 19 - 16)*(13021 - 13021 - 333*f).\nAnswer: -333*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2793 - -2762. What is q rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3070 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18668 divided by -26\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 17 + 19 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Calculate the remainder when -46*(0 + (0 - y)) is divided by (-20)\/(((-165)\/12)\/11) - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 69*f**3 + 23*f**3 + 21*f**3 - 2*f**2 + 22*f**3 - 2 to z*f + u + b*f**2 + t*f**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 5*d**7\/42 + d**6 - 2*d**5 - 5*d**4\/2 + 35*d**3\/6 - 11*d - 130. Factor x(q).\nAnswer: 5*q*(q - 1)**2*(q + 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 27*o + 210 = 0. Let j(h) = 50*h**2. Let d(c) = 3*c**2. Give o*d(f) - 2*j(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.94 - -185.74. Let g = i - 171. Let k be (-3)\/(45\/24) + 2. Which is the third biggest value? (a) -0.1 (b) 3 (c) k (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -42. Calculate the remainder when 50 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*f - 567 = 3*f, 2*f = -8. Let u = b + -91. Suppose u = 5*q - 164. Round q to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {c: 1, r: 7, b: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*j**3 + 66*j + 72*j - 205*j + 67*j.\nAnswer: -326*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4498*k + 4504*k - 342 = 0 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f - 15 = 0. Suppose -4*x - 3*q - 2 - 5 = 0, f*x + 5*q = -15. Is -3 + 3 + 116\/x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 836*s - 835*s - 28 + 2*s**3 as h*s + y + c*s**2 + x*s**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/7*(-168)\/(-144))\/(5\/(-12)). Let u be -2*(-2)\/4*5. Solve -d*q = 16, -k - u*q = 4*k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441768 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 402*r**2 + 197*r + 2088. Let i be w(-10). What is the highest common divisor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 51*a. Let b(x) = 5*x. Let y(v) = -42*b(v) + 4*g(v). Suppose 4 = 3*o + 19, 2*c = -3*o - 17. Determine y(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 71589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -200*u + 1109. Calculate the remainder when k(-5) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-70)\/6)\/((-3)\/81). Suppose 225 = 4*q - y. Suppose -3*u + 4*w + 135 = 3*w, 0 = -3*u + 5*w + q. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 4054730\nAnswer: 2027365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -140.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-156)\/8 - (0 + 0) and 97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217236 (base 8) to base 13\nAnswer: -27522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*i - 9 - 1 = 0, 0 = -5*i + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5796 and 36?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 52 + 2 - (-262 + 277)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1\/2 + (-6)\/20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-198 + 177 + 41 + -3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111101 - -101?\nAnswer: 100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtiittirrttxtatttr. Give prob of sequence at.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 0.1, 0.025, 1\/4?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428283 (base 11) in base 10?\nAnswer: 4227589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25639 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: Suppose -4*o = -a + 65, -3*o - 2*a = -5*a + 42. Let z = o + 16. Let y be (2\/3)\/(((-10)\/105)\/z). What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4 + 26. What is the remainder when 39 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -62. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2*m + 3. Let d be (-2 + 1)\/((-1)\/(-3)). Let u(n) = n**2 + n + 2. Suppose 0 = -24*o + 42 + 6. Determine d*u(j) + o*t(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 224134?\nAnswer: -224130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -23 - 22 - (-13 - (2 + -8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111227 divided by -6\nAnswer: -111227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 1 - 4*z - z + (3 - 3 - 1)*(z - 4 + 4) - 3*z + 0*z + 2*z.\nAnswer: -7*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-1\/4))\/s)**15\/((s**9\/s)\/(s*s**2))*(s**3\/(s\/s**5))\/((s\/(s*((s\/s**(2\/13))\/s)\/s)*s)\/(s\/(s\/(s*((s\/s**(-2))\/s)\/s*s)))) assuming s is positive.\nAnswer: s**(1123\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**8\/336 - y**5\/60 - y**2 - y. Let w(b) be the first derivative of q(b). What is the third derivative of w(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -295b0 + -4?\nAnswer: -295b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 448208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, y: 3}. Give prob of picking 1 g and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:10 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 261*v**2 + 5*v + 297. Let y(d) = 260*d**2 + 4*d + 291. Let t(w) = -4*p(w) + 5*y(w). Differentiate t(c) wrt c.\nAnswer: 512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12)*297\/90)\/((-2)\/10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.20971 + 0.10971. Let m = -27 + 11. Put -5, s, m in increasing order.\nAnswer: m, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 3*r**3 + 2*r**3)*(16*r**2 - 14*r**2 + 32*r**2).\nAnswer: -68*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -6. Let u be ((-4)\/t)\/((-4)\/36). What is the highest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2 + sqrt(3388) + sqrt(28) + -3 + -3 + -4)*-4)**2.\nAnswer: -9984*sqrt(7) + 67216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, d: 1, m: 1, f: 1, v: 1, q: 1}. What is prob of picking 1 d, 1 f, 1 v, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -19\/2, -1\/2 in increasing order.\nAnswer: -19\/2, -1\/2, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j. Suppose j = -r - 0*r + 15. Suppose 3*d + r = 6*d - 3*u, -3*d - u = -19. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736700.\nAnswer: 2, 5, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 454770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + 2*g**2 - g - 12. Let t be j(-4). Let z = -152 + t. Solve 5*i = 0, z = -6*m + 3*m + i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/((-8)\/(-4))*(-2672)\/(-10). Calculate the common denominator of -47\/5 and ((-3)\/405)\/(-4*(-4)\/v).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.6 - -11. Which is the closest to -0.2? (a) -0.3 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226358 is divided by 15049?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 117270313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -685 + 1?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90335, 90338, 90341, 90344, 90347?\nAnswer: 90350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/3049 (c) 1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**2 - 49*z - 49. Let p(g) = -8*g**2 + 33*g + 32. What is 5*d(x) + 8*p(x)?\nAnswer: x**2 + 19*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -510, -1317, -2642, -4485?\n\"Answer: -259*g**2 - 30*g - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 - -0.3. Let g = -533.8 + 618. Let i = -84 + g. What is the closest to i in 0.1, k, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 459*o**2 - 5*o. Let x(y) = -2*y - 27. Determine u(x(v)).\nAnswer: 1836*v**2 + 49582*v + 334746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (47 - (-18 + 20)) + 9.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbn when three letters picked without replacement from {b: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(133)*-3 - (sqrt(133) + sqrt(133) + (-2*sqrt(133) - sqrt(133))*2 + sqrt(133)))\/(sqrt(35)\/sqrt(5)*-2 + sqrt(56)\/(sqrt(32)\/sqrt(4))).\nAnswer: -9*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7722280 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2552, 4936, 6994, 8564, 9484?\n\"Answer: -27*n**3 - n**2 + 2576*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1528 or 1526?\nAnswer: 1528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5270 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 16*m**2 + 96*m + 1538. Let s be a(-16). Solve 0 = -8*g - s*f - 0*f - 24, 2*f + 4 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/336*12*(-49)\/(-42)*(-54)\/(-36)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-10) - 10\/(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(2\/20). Let m = t + -10. Solve 3*f - m*u - 35 = 0, 3*f - u - 2*u = 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:59 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*b + 19. Let d(m) = -2*m**3 + 9*m**2 + 5*m + 2. Let k be d(b). Is (k + (-10)\/8)*388 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 418.35 to the nearest integer.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1185 plus -1104?\nAnswer: -1103.8815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3275973 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**5\/20 + 3*r**4\/4 + 35*r**3\/12 - 3*r**2\/2 - 9*r - 50. Factor o(l).\nAnswer: (l - 1)*(l + 1)*(l + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/10)\/(5\/(-3530)). Let z = l + 71. Sort -0.2, z, 1\/8.\nAnswer: -0.2, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/9*(16\/140)\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-3)\/6)*2. Let w be -1 + ((-1)\/c)\/((-15)\/30). Let a be (w - 15)*(-1 + 2). Which is bigger: a or -18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*l - 45*l - 80*l = -212 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbmm when four letters picked without replacement from bbbbmbmbbmmbbb?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 22. Suppose -2*z - 33 = -k. What is the greatest common divisor of 16 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194.85 - 195. Which is the nearest to z? (a) 4\/3 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 81156 (c) -1\/8 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let k be h(-5). Let y be (-2)\/3*(-6)\/2. Suppose y*x + 33 = 2*d - x, -4*d = k*x - 99. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 22765. Let t(v) = 14*v. Calculate t(k(z)).\nAnswer: -28*z + 318710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51270013*m**5 + 11*m**2 - 684851*m wrt m.\nAnswer: -3076200780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 + -0.16. Let r = -0.22 + d. Which is the closest to -0.5? (a) 1\/3 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/20 - (-1 - 189\/4). Let q = 19 + -19. Suppose 20 + 9 = 5*g + 2*b, q = 4*g - 4*b - 40. Calculate the highest common factor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 12, -4, 2250, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from rklddkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 11, 21, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21703 or -108513\/5?\nAnswer: -21703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18837, -18820, -18791, -18750, -18697, -18632, -18555?\n\"Answer: 6*g**2 - g - 18842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q - 4. What is m(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838849 is divided by 6168.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -9, 15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 338 + -404. Let w(j) = -j**3 - 2*j - 4. Let r be w(5). Let b = g - r. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16265827931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*o - 364 = 5*c, -3*c - 214 = -o. Let b be c\/396 + (-92)\/(-22). Solve b*t - 20 = 9*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(175) + -1 + sqrt(63)\/((sqrt(54) - sqrt(216))\/sqrt(6)) + 2)**2.\nAnswer: 16*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6592 and 14\/6283?\nAnswer: 402112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.048282 decades to centuries.\nAnswer: 0.3048282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 12 - -10) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 9*q. Suppose 2*b - 4*o = 78, 5*b + 4*o - 2*o = 135. Suppose -3*c = 2*i - b, -4*c = -20 - 0. Is 10 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365547 is divided by 807?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 277\/(-6)*-3 + (-45)\/(-30). Find the common denominator of -59\/204 and (-66)\/(-14)*o\/200.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.5 (c) -3 (d) 1\/284 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + a - 34 - 5 + a.\nAnswer: 2*a - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -430355041?\nAnswer: 430355044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2391 and 2.\nAnswer: -2389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 136*g + 41*g - 64*g + 6.\nAnswer: -159*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + (0 - (3 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*j + 8 + 95 = 0, 0 = -2*j - 6. What is the greatest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:58 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -21*f**2 + 414*f + 126. What is o(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086 at most 2084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-54))\/((-8)\/(-12)). Sort -0.5, -0.2, -16, w in decreasing order.\nAnswer: w, -0.2, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019895?\nAnswer: 5, 7, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 25 = 24*o, 4*x - 4*o + 32 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-30))\/(46410\/5950)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-187)*(-2706)\/(-492)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2017135199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 69 = 125 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, 5, -5, 1, 14 in descending order.\nAnswer: 15, 14, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3*(-561)\/(-187)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -36) + 12 + -12 + -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -2*a, -3 = -0*k - 3*k. Suppose 33 = 2*h + 4*m + 9, -3*h - 9 = -a*m. Solve -u = h, 3*r - 1 = 4*u + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*t - 10, -2 = -5*c + 4*t - 8. Suppose 3*a = -15, 3*o + c*a = 6*o - 22. Suppose -1 = o*d - 13. Is d <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:09 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l - 22*l**2 - 39*l + 12*l**2 + 12*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-16) + 105\/108. Which is the nearest to 1? (a) m (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270060*w + 271534*w + 82544 = 0 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:09 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/22))**(3\/7)\/(i**22\/i*i*i**(-15\/4)\/i) assuming i is positive.\nAnswer: i**(-5319\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/48 and 109\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/43 + -173\/258. Suppose v = -4*v + 10. What is the third smallest value in l, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 3*p - 9. Let v be k(7). Suppose z + 2*z = -v. Let i(l) = -l - 2. What is the units digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 3. Let w(a) = -119*a**2 + 714*a - 2142. Give -714*t(f) - w(f).\nAnswer: 119*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 0*l**2 + 3 + l**2 - 2 - 2*l**2. Let n(j) = 53*j**2 - 23*j - 6. Let g(m) = -6*a(m) - n(m). What is the second derivative of g(v) wrt v?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let s be z(-3). Let n be (s\/6)\/((-4)\/(-72)). Solve -18 = 4*x - n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1\/4 (c) 2\/5 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d + 61. Let y(a) = -a**2 - 2. Determine g(y(t)).\nAnswer: 8*t**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352777?\nAnswer: 191, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -5*f - 14*o - 15, -5*f - 30 = -4*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 7. Let i = b - -5. Suppose i*x = x - 9. Solve 3*z - 6 - x = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 60*x - 112. Let w be u(58). Solve -w*r + 4 = -3*q, r + 0 = -5*q + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2151995510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.27137 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 7*z - 4 + 3*z - z**3 + 619*z**2 - 620*z**2. Does 6 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 4. Suppose -4*s - 18 + 2 = 0. Let k(f) = 4*f**2 - 5. Give s*k(m) + 5*i(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.6068374 - 3895.\nAnswer: -3907.6068374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2204 + 2224 - 4428 - 1033*n**2.\nAnswer: -1033*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -108419760 divided by 602332?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479*o**3*y + 5*o**2*y**3 - 24*o*y**2 + 4*y**3 - 17 wrt o.\nAnswer: 2874*o*y + 10*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2760 and 8920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqrqqqrqqrqrrr. Give prob of sequence rr.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oseoeui. What is prob of sequence iesu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 7*z - 9*z + 67*z**2 - 9*z**2.\nAnswer: 43*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-2)\/((-24)\/(-3)))\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 52, 78, 104, 130?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59613, -9, -3 in increasing order.\nAnswer: -9, -3, 59613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -19 + 4 + (-81 - -64).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, r: 2}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/16 and -103\/1780.\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j**2 - j. Let n be s(2). Suppose 2*f - 15 = -d - n*d, 5*d - 3*f = 6. Suppose -d*w + 14 - 5 = 0. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86.065 - -2.56. Round k to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 9. Let f be l(12). Suppose 3*r - 3*o - 42 = 0, 2*o = -f*r - 0*o + 32. Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119, 808, 2615, 6092, 11791?\n\"Answer: 92*p**3 + 7*p**2 + 24*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 76*g + 79*g - 516, -4*g - 1244 = -5*n. Solve 430*c - n = 402*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*v + 36 = -612*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/45 and 3\/7 + (-363)\/(-84) + 3.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33811, -33596, -33381, -33166, -32951?\nAnswer: -32736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 29*j - 59. Calculate the remainder when w(-25) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -205951, -205937, -205907, -205855, -205775?\n\"Answer: w**3 + 2*w**2 + w - 205955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 8. Let s be (24\/(-14))\/((-4)\/14). Let i be a(s). Let v = i - -19. What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**19\/(z*z*(z*z**7)\/z*z)*(z**(-13)\/z)\/(z\/z**(1\/10)) assuming z is positive.\nAnswer: z**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -218 - 103\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + 255\/75. Suppose -r = n - 8. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 + 5*l**2 + 7*l**2)*(7*l + 4 - 4)*(4 - 6 + 5) in the form x + z*l**2 + o*l**3 + b*l and give o.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.29 (c) -79 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6253\/91 - ((-6)\/7)\/3. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6712223 at least as big as -6711975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 5:32 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10912 (base 10) to base 9.\nAnswer: 15864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -197*p + 107*p - 392*p**2 + 82*p + 7*p**2 + (p**2 + 0*p**2 + 0*p**2)*(-2 + 1 + 3).\nAnswer: -383*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from dfffddffffdfffdddffy.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 79.282. What is p rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*c = 34, -6*g - 3*c + 34 = -4*g. Suppose 0 = -3*h + g + 34. Suppose h + 7 = z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12362 in -1, 6, -5, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 2. Let f(j) = 17*j - 3. Let h(r) = -f(r) + 2*p(r). Let m(g) = 2*g + 7*g - 2 - 5*g. Determine -4*h(n) - 14*m(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 3*g**2 - 50*g - 51. Calculate k(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -811677.0091 + 811573. Let h = 103.9911 - -0.0089. Let z = h + p. What is z rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 2.2743?\nAnswer: -1.7743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 37.8. Let l = -114 + 911\/8. Sort l, w, 0.1 in descending order.\nAnswer: 0.1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 759098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 3890315?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -515 (b) 0 (c) -0.633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2322 and 891.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v = -41*v + 26*b - 180, 41 = -3*v + 5*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 6*n - 2. Suppose 0 = -0*q - 3*q + 18. Let z be u(q). Put z, 0, 3 in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 1\/2 (c) 5 (d) 1530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172464, -172485, -172506, -172527?\nAnswer: -172548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t = -31*t - 15. Solve -t*b = -6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(0 + sqrt(539) + 3))**2.\nAnswer: 378*sqrt(11) + 4935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 2, -4, 2\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 5*r + 3. Let v be n(2). Let b = v + 50. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1065)\/(-30) - ((-27)\/(-6))\/(162\/(-54))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.6 or 1195\/6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 2\/5, 0.0009858, -1, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 10250?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 24, -1 in decreasing order.\nAnswer: 24, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - r + (2*r + 0*r + 0*r)*(1 - 2 + 2) + 81*r + 149*r - 11*r + (0 + 1 + 0)*(2*r + 0 + 0) as x + d*r and give d.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (-7 + (7 - 2) - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 11?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6874890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 68. Let c = w - 27. Let g = 28 - c. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -59418252.\nAnswer: -106952853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10173663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/2)\/b))**(-20)*(b**(-4))**10 assuming b is positive.\nAnswer: b**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44260, -177046, -398350, -708166, -1106488, -1593310?\nAnswer: -2168626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/6*-4 + 2552\/(-12). Is (0 + -9)\/3 - m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 496*d + 22023. Determine y(190).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**0))\/q)\/q**(-6))**46 assuming q is positive.\nAnswer: q**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -16379 and -16513 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5015013 (base 7) to base 3\nAnswer: 1010002120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 390899 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120212021 (base 3) to base 12\nAnswer: -6837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 55*o. Does 19 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*t + 2\/3 + 3\/2*t**2.\nAnswer: (t + 2)*(9*t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b)**32*(b**(2\/3))**(-10) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 3*q + 4 + 1 - 3. Let i(t) = 2*t**3 - 14*t**2 + t + 4. Let g be i(7). Let k(o) = 5*o**3 - 8*o + 5. Determine g*j(r) - 4*k(r).\nAnswer: 2*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1380 - 1443.1. What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 14.4, -0.2, 10.5.\nAnswer: -0.2, 0.5, 10.5, 14.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*v + 877 = 6167 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*n**2 - 1125*n wrt n.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/3 + 15\/2*y**2 - 5\/6*y**4 + 55\/6*y + 5\/6*y**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(104)*-2*2*-3)\/((sqrt(72) + sqrt(72)*3 - sqrt(72))*4 - sqrt(72)).\nAnswer: -16*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 + -1136. Is 8 a factor of (-4)\/14 + a\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 728 and 81952?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 55343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6105.3 + 6004. Which is the third smallest value? (a) -1 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10*(-14 - -19). Suppose 4*z = 5*z + 5*g + 5, n*g - 67 = -5*z. Solve -5*w - z = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + 0.41. Let k = p - 0.35. Let r = k + 7.55. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608438*n**2 - 45*n + 45*n.\nAnswer: -608438*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/120 + q**3 - 14*q**2. What is the derivative of p(g) wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (36\/(-16))\/((-2)\/(-461336)). Round s to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -38 (b) 34 (c) -2 (d) -5 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*z = -4*h + 1408, -71537*h - z + 19 = -71540*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + 4*k**2)*(3841 - 7062 - 707).\nAnswer: -3928*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:35 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27152, -55139, -83126, -111113, -139100, -167087?\nAnswer: -195074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -1, -5, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -11. Suppose 81*f - 936 - 139 = -134*f. Put x, f, 0 in descending order.\nAnswer: x, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3955 (b) 0.5 (c) -6 (d) -3 (e) -3\/5 (f) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = j. Solve -w + 12 = 2*o, 2*w - 19 = -j*o - 3*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 8\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 644 - 635 = -3*x, 176 = -37*q - 4*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15984 greater than 15968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 4*k + 2*k + (26 + 40 + 16)*((-2*k - 1 + 1)*(2 - 2 + 3) + 5*k + 1 - 1 + 0 + 0 + 2*k + (1 - 1 - 2)*(-3*k + k + 3*k) - 2*k + 0 + 0).\nAnswer: -245*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.0426 millilitres to litres.\nAnswer: 0.0870426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1836 - 1838. Suppose -2*n = -292 + 40. Is n\/(-2 + 2 + p + 3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 866, 1972, 3526, 5528, 7978?\nAnswer: 10876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 581 - 588. Put g, 4, -4\/7 in decreasing order.\nAnswer: 4, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1191 - 1193. What is the closest to -1 in 0.4, -1\/7, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -70662?\nAnswer: 70660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353 + -40. Suppose -3*n - p = 5. Let a = 165 + n. Calculate the remainder when a is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 219\/2 - (-2)\/4. Let p be (-1051)\/(-6) - (1 + 15\/(-18)). Let g = p - 165. What is the highest common factor of g and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g + 2 - 4)*(-1 + 2*g + 1) + (3 - 2 + 1)*(3*g**2 - 2*g**2 - 2*g**2).\nAnswer: 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 14 = 2*c, 3*c = 3*g + 5 + 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -621, 2\/9, 2\/143, 26, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 795*n**5 + 12*n**3 - 12065*n wrt n.\nAnswer: 15900*n**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -25*c**5\/6 - 5*c**2 - c. Let a(b) = 9*b - 17*b + 6*b. What is t(a(r))?\nAnswer: -1000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 570 - 61. List the prime factors of p.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -3*s**3\/2 + 1659*s**2\/2 + 29*s - 2. What is the units digit of q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + 16 - (-2 + -2). Let r(u) = u - 1. Let v(c) = 18*c. Let p(o) = 5*r(o) - v(o). Let y(j) = -19*j - 7. Determine l*p(f) - 5*y(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3*f**(1\/3)*f*(f*((f\/(f*f**2*f))\/f)\/f)\/f*f*f*(f*(f**(-4\/7)\/f)\/f*f)\/f*f*f*(f**(-4)*f\/((f**2*f)\/f))**(-3\/8) assuming f is positive.\nAnswer: f**(611\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1455\/4 - -362. Find the common denominator of m and 41\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/45))**(-1\/27)\/(o*o**(4\/11)*o)**(-3\/19) assuming o is positive.\nAnswer: o**(94352\/253935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 18*d**2 - 13*d + 77. Let p be o(-10). Solve 0 = 4*s + 3*g + p, -5*g = 3*s - g + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) - (-4*sqrt(80) - sqrt(80))*6)) + sqrt(80))**2 - sqrt(80) - -1*(sqrt(55)\/sqrt(99) + sqrt(5)).\nAnswer: -8*sqrt(5)\/3 + 67280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 292670.\nAnswer: 1\/146335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-231)*1)\/((-858)\/(-6006))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -u, p - u - 2 = -0. Let t(n) = n**3 + 2*n**2 - 4*n - 3. Let h be t(-2). Suppose -4*s = -p*y - 53, 4*s - h*y + 6 - 57 = 0. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) -3\/100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/23)\/((s*s\/s**(-1\/4)*s)\/s))\/(s**(2\/11)*(s*s*s**(-3)*s)\/s))\/((s**(-1\/3))**47)**(-1\/2) assuming s is positive.\nAnswer: s**(-27865\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -461, -682, -897, -1106, -1309?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*p**3 - 3*p - 157*p**3 - 53*p**3 + 3*p.\nAnswer: -514*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5 - 13 = -4*g, 3 = -2*f - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5584 divided by 6.\nAnswer: 2792\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14326 - -13473. Which is the closest to 1? (a) 0 (b) -6\/11 (c) -2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 31\/20*w**4 - 1 - 8\/5*w**3 - 7\/6*w**6 + 24\/25*w**5 + 0*w + 2\/5*w**2. Suppose k(j) = 0. Calculate j.\nAnswer: -1, 0, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from cccccxpxcccxcxppp.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 252, 256, 260, 264?\n\"Answer: 4*c + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5755821, -11511654, -17267487?\n\"Answer: -5755833*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - sqrt(400)\/sqrt(5)) + sqrt(50)\/sqrt(40))*6)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2 - 0)*(-5 + 4). What is the nearest to 4 in -0.2, u, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y + 26. Let q(x) = -4*x - 6. Let f(j) = -6*n(j) - 26*q(j). Let k(r) = r**2 - 6. Determine k(f(v)).\nAnswer: 4*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.2. Let z = -0.1 - k. Let s(r) = r**2 + 7*r + 8. Let h be s(-3). Which is the smallest value? (a) 2\/15 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3973 - 3791. Solve u*g = 198*g + 112 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.19 (b) -0.09 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-48) - 2\/6. Put p, 0.1, -1\/3, 6 in descending order.\nAnswer: 6, 0.1, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x + 2\/3*x**3 + 0 + 5\/2*x**2. Is u(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:33 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1664 and 9696976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 14*k + 10 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 9*r - 7. Suppose -2*d + 9 = 3*k, 23*d - 18*d = 3*k - 30. What is j(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -94\/9 (b) -1\/3 (c) -1\/4 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 620443 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.8 + -4. Let t = -0.534 - -38.534. Is t < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5431.2 + -5431. What is the nearest to 0.01 in -1\/8, i, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1116*s - 18969. Calculate y(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/1008 + m**7\/210 - m**6\/120 + m**5\/180 - 2*m**2. Factor p(q).\nAnswer: -q**2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -0.5, 2\/3, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -96, -331, -550, -741, -892, -991, -1026, -985?\n\"Answer: 2*q**3 - 4*q**2 - 237*q + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/705 and 161\/541440.\nAnswer: 541440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + -45 - (-8)\/(-2). Let c = y + 57. Suppose 2*m + c*m = -j + 16, 25 = 5*m. Solve 2 - j = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4*x**3 + 9*o**4*x + 3*o**4 + 51*o**2*x**3 - 12*o**2*x wrt o.\nAnswer: 24*o*x**3 + 216*o*x + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*j**3 - 6182*j**2 + 2047630*j.\nAnswer: 1860*j - 12364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 135\/(-9) + 30. What is the greatest common factor of v and 15408?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 q, and 1 t when four letters picked without replacement from ututdqqddtod?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0116? (a) 11 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 6*g - 1. Suppose 2*h + 3*h - 5 = 0. Suppose -3*j - h = 2*x - 24, -4*j = 2*x - 26. Let q be w(x). What is q rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52.3 - 31.8. What is i rounded to zero dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/3*(-3 + 2). Let y be (2522 - w)*(-2)\/(-5). What is y rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 4, v: 5}. Give prob of picking 1 e and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4666 - 2630. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:17 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -14013?\nAnswer: -14010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*k - 145036 = 0, -3*t + 57246 = 4*k - 160368. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 - (-4 + (0 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5403 and 0.06?\nAnswer: -324.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/37107*31*((-30)\/44 + 1)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45822 is divided by 22911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 57. Let z be i(10). Let w = -20 - -28. What is the hundreds digit of (w + -14)*z\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 - 0. Let r(b) = -b + 8. Let i be r(6). Factor -m + 2 + 2*m**h + 0*m**i - 4*m**2 + m**3.\nAnswer: (m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204 (base 5) to base 2\nAnswer: -10110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229\/3 + 913\/12. What is the nearest to p in -1\/3, -0.5, 4\/7, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 7, 14, 17, 16, 11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11, 19, 1, -9, -241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 54\/(-22) - (-3 - -1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -207922 divided by -7\nAnswer: 207922\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -2866, -7274, -13654, -22006?\nAnswer: -32330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.533 plus -0.3?\nAnswer: -142.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 at most 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s + 142*s**2 - 213*s**2 - 186 + 0*s wrt s?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691754538 rounded to the nearest 1000000?\nAnswer: 692000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3225 or 52?\nAnswer: 2\/3225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:52 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 3*m + 2. Let x be f(-2). Suppose -2848369 = x*s - 340349. Let u = 27005 + s. Round u to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:00 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*-2*sqrt(425) - (-5 + (sqrt(272) - sqrt(17))*-2))**2.\nAnswer: 360*sqrt(17) + 22052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k - 24. Let i be d(-6). Suppose -9*p + 692 - 8 = i. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 47*u**2 - 49*u + 32. Determine p(48).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 615070917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1434, 4714, 9838, 16806, 25618?\n\"Answer: 922*q**2 + 514*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-22)*6*66\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1505, -1633, -1893, -2321, -2953, -3825, -4973?\nAnswer: -6433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*l + 9, -2*l - 36 = 5*n - 15. Let v(o) = -17*o**3 - 6*o**2 - 3*o - 6. What are the prime factors of v(l)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2. Let x(k) = 6*k**2. Give x(f(g)).\nAnswer: 96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(6)\/sqrt(2)))\/((1*sqrt(363) - sqrt(363)) + sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5260*k**2 + 6*k.\nAnswer: 2*k*(2630*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45)*3)\/((-38)\/(-285)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -21. Let d be 6*(-1)\/(i\/(-2)) + 2. Let y be (0 + -1 - -1)\/1. Solve -s - d = -y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Let h be ((-2)\/36)\/(4\/(-16)*1). Sort h, -1\/5, w in descending order.\nAnswer: w, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 22. Let z be 2\/q*-5*(-9)\/1. Let c(p) = -5*p**2 - 4*p - 1. Let i(y) = -y**2 - y - 1. Calculate z*i(m) - c(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -206607589 and 0.2?\nAnswer: 206607589.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 7*f**2 - 9*f + 6. Let h be x(6). Let m be h\/8*-2 - 0. Let d = m + -34. What is the remainder when 44 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2197*g - 2254*g - 2451 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*p - 17 = 0, p = 49*u - 51*u - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2. Suppose -38*o + 3536 = -21*o. Let k(w) = w**3 + 4*w**2 - 2*w - 6. Let v be k(-4). Let g(i) = o - v*i - 208. Give g(l(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**8\/168 + 227*b**6\/120 + 83*b**4\/12 + 186*b**2. Find the second derivative of u(v) wrt v.\nAnswer: 40*v**3 + 1362*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 209544.\nAnswer: 2095440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 3\/8 (b) -48511 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.29 + -0.4. Let x = c + 0.11. Sort -3, -3\/2, x in descending order.\nAnswer: x, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Suppose -3*x = -2*b + 38, -x - 2 = h. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -136. Suppose -14*l + 10*l + v = 0. Let x = l - 24. Which is greater: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-407 + 215 - 423 - 237 + 155)*(-4*m**4 + 21*m**4 - 3*m**4).\nAnswer: -9758*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(275) + 1 + sqrt(275)))**2*-1.\nAnswer: -26424 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let l(u) = 10*u**3 + 5*u**2 - u + z*u**3 - 4*u**2. What is the tens digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4127466*u + 607152. Let a(v) = 1958*v + 288. Let d(y) = -12649*a(y) + 6*i(y). Let t(w) = -w. What is t(d(b))?\nAnswer: 1946*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/18 + -5)\/(6\/(-9)). Solve i = 9*v + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -8. Suppose -h*q + 312 = -232. Let r = -71 + q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w - 3. Let f(p) = 5*p + 1. Let n(h) = -6*b(h) - 17*f(h). Suppose -35*x = -37*x + 14. Give n(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73409.153 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037089 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.2. Let z = q + -1.8. Let f = 96\/13 - 506\/65. Put f, z, -2\/3 in ascending order.\nAnswer: z, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*c - 4 = 0, -1 = 4*d - 5*c - 25. Calculate the lowest common multiple of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (138\/(-12))\/(2\/(-28)). Suppose 164*a - 273 = y*a. What is the remainder when a is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*n + 2*q, -2*n = -q + 12 - 2. Let h be (2\/n)\/(2\/(-12)). Solve h*k + 2*w = 4*k - 2, -3*k + 3*w + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6760250 + -254?\nAnswer: -6760524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/360 - (-68)\/(-680).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -16536*w + 7. Let f be x(4). Let o = f + -3863. What is o rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) 0.3 (d) 0 (e) -50.574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4395 and 17070.\nAnswer: 5001510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/24 + 7*w**3\/3 + 3*w**2. Let u be s(11). Solve -t**5 + 6*t**3 + 0*t**u - t**3 - 4*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*c = 1174 + 970 - 536 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35300 and 5560.\nAnswer: 9813400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2566912635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 2 + 2)*(-2*a + 3*a + 11*a) + (1 + 5 + 1 - 1 - 2)*(-15 + 15 - 4*a**2) to the form m*a**2 + c*a + q and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (12 - (18 + -52 + (8 - 3 - -5)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358324.\nAnswer: 2, 11, 30871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:39 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 810 - 497. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774460323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (18 - (44 - (-4 - -24)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) 17 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -291 + 43.11953\nAnswer: -247.88047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:53 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*w + 58 + 6 = 0, -2*u + 62 = -4*w. Let t be (12\/(-16))\/((-86)\/344). Solve -j + 0*j = 5*n - u, -t*j = -3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -136 + 121 - -98.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - a**3 + 0*a**4 - 2*a**4 + (-6*a**3 + 8*a**3 + 7*a**3)*(2*a - 1 + 1).\nAnswer: 16*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42672321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (94 - 23445\/225)*2\/(24\/(-20))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73061875 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432) + sqrt(3) + sqrt(12)\/sqrt(4)*-1)**2*5 + 2.\nAnswer: -120*sqrt(3) + 2167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4 + 24 = 0. Suppose 0 = 2*d - v*p - 2107 - 3559, 5*d - 14190 = 5*p. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2743 + 22003\/8. What is the common denominator of 39\/36*(-3)\/(-2) and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43302124000 + -2?\nAnswer: 43302123443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 18 + 22 = 0. Suppose -7 = -2*f + b, 0 = -4*f + f - b + 3. Suppose 6 - 2 = i. Solve -i*c - j = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x + 3. Let b be h(0). Let q = b - -1. Let s = 0 + q. Solve o - 10 = -s*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, e: 4}. What is prob of sequence ejje?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5*k + 20. Let z(n) = -n**2 + 11*n + 41. Let r(i) = -5*j(i) + 2*z(i). Factor r(h).\nAnswer: 3*(h - 3)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f + 101. What is z(0)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-3)*(1 + -10). What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 2\/57, 0.083018, 4\/7, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9561503921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.95. Let x = h - -0.025. Round x to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - i + 2. Let j be c(0). Suppose 5 = -g, -3*v - j*g - 3*g = -5. Calculate the smallest common multiple of 22 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 1. Let b(r) = 2*r + 6. Let h(t) = b(t) + 3*d(t). Let f be h(-4). Solve f = 3*j + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 6*z**2 + 17 + 17*z**2 + 7*z + 9*z. Let c be h(12). Let a = c - 68. Sort a, 7, 1 in descending order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3549*t - 2500*t = -7343 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7456.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 8*v + 5. Calculate q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 138. Suppose -g*p + 1003 = -5*v, p + 0*p = 3*v + 337. What are the prime factors of p?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 - y**3 + 4*y**2 - 17*y**2 - 14*y**2.\nAnswer: -y**3 - 41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - -410 - 27\/3. Let a = p - 396. Let h(o) = o**2 - o. Let m(x) = 2*x. Calculate a*m(w) - h(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -8. Let h = 8 + b. Suppose -g - h = -7. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*a + 1653*a + 60 = 6*g, 3*a = -4*g - 10 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 90151308 = -11*w. Let a = 6414377 + -3492783. Let p = a + w. Round p to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(4 + -2 + -1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3 = -2*g, -12*s = -9*s + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4646093\nAnswer: 2\/4646093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-923)\/142*((-15)\/(-30))\/(2\/14).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i + 174 + 17*i**2 + 23 - 9*i**2 - 6*i**2 + i**3 wrt i?\nAnswer: 6*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2064311.94 * -5.\nAnswer: 10321559.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlcwllcrrsr. What is prob of sequence sw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.06644 to the nearest integer.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*sqrt(72) - (sqrt(6)\/sqrt(3) + 1))**2 - -1*(3 + sqrt(162)\/sqrt(9))).\nAnswer: 17*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (2 + -20 + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780368 is divided by 463316.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 72950058 divided by -81\nAnswer: -900618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3519375*f**3 + 23030*f**2 + 138*f wrt f.\nAnswer: 21116250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**3 + 3*o**4 + 2*o**4 - 9*o**4 + (-2*o**2 + 3*o**2 - 2*o**2)*(0 + 2*o**2 + 0).\nAnswer: -6*o**4 - 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, 118, 391, 828, 1441, 2242, 3243?\n\"Answer: 2*v**3 + 64*v**2 - 85*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 47*w = 34*w - 220162. List the prime factors of w.\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*c**2 + 131*c**2 - 260*c**2 + 13*c**3 + (-c**3 + 6*c**3 - 3*c**3)*(-2 + 4 + 0) in the form z + d*c**3 + m*c**2 + j*c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3981 + 3980.88. Which is the nearest to 1? (a) v (b) -0.07 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*i + 22 = f, 2*i = 6. Suppose 0 = -3*h + 4*l + 2, 3*h + 0*l - f = -2*l. Let w be (-20)\/(-6) + h\/3. Sort w, -2, 5 in ascending order.\nAnswer: -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 525170482 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 - 6*v - 5. Determine y(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 523 = -2*c - 1691, -2*c + 5570 = 5*q. Let f be 0 + 0 + 4 - 1. Calculate the remainder when (-1)\/f + (q\/(-6))\/(-1) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 5*(-4 - -3). Suppose 0 = c*u - 0*u. What is the first derivative of 18*f**3 + u + 4 - 23*f**3 wrt f?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - x**2 + 2*x + 1. Let t be q(-2). Suppose -t*w = 2*w - 209. Solve -w = -4*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*t**2 - 14*t**2 + 56 - 12*t**2 - 11*t wrt t.\nAnswer: -4*t - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, a: 1, k: 6}. Give prob of sequence ttkk.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 4772?\nAnswer: 4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16984 divided by -2.\nAnswer: 8492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 118 - (1 - (0 + 1)). Let j be 4 + (d - (-4)\/2). Let b = 246 - j. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(44)\/sqrt(4))**2)*1 - (5 + -2*sqrt(22)\/sqrt(2)).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*n = -86*n + 28. Solve 2*w - 9 = g - n*g, 9 = w + 3*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69120130.\nAnswer: 2, 5, 17, 23917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.35 + 0.05. Let r = 1.1 - 1. Let w = 7496 + -44975\/6. What is the closest to r in w, m, 3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1019553633 - 3.\nAnswer: -1019553636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 - 5*c - 2. Let s be d(-5). Let q be s\/(-4)*12\/(-21). Is q greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:10 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0.1 (b) -20 (c) -153 (d) -5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -52*g + 3448. Calculate o(66).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212218 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 2*l**2 + 30530*l**3 - 30499*l**3.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 90*j - 575. Give u(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + 3) - -1 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 926620000 to the nearest one million.\nAnswer: 927000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - i - 3, -6*y + i = -2*y + 9. Let l be (-1)\/y*(-4)\/2. Put 0, 3, l in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.071175 + -77810445\nAnswer: -77810445.071175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((8 - 5) + -21 + 20) - (-29 - -2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(240)\/sqrt(4))\/sqrt(12)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c21 + -341e?\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 4*h**5 - 4*h**5 + (3*h**4 - h**4 - h**4)*(-h - 1 + 1) + 4*h**4 - 3*h**4 + 0*h**4 + 15*h**5.\nAnswer: 15*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227918 - 31347.\nAnswer: -259265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 1, e: 1, k: 1, x: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**9\/2520 + y**8\/3360 - y**7\/630 + y**4\/3 - y. Let g(j) be the third derivative of t(j). Factor g(u).\nAnswer: 2*u**2*(u + 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((3 - -6) + 1 + -7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 6) in base 8?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(21\/2)\/(l*l**(7\/3)))\/(l**(1\/5)*l**(-25)))**(-24) assuming l is positive.\nAnswer: l**(-3836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21993097 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/6 - m**2\/2 - 28*m - 3. Let q(y) = 7*y**2. What is q(l(g))?\nAnswer: 7*g**2 - 14*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) + -1*-2*sqrt(132) - sqrt(132))*2)\/((sqrt(768) + (sqrt(768) - 2*sqrt(768) - sqrt(768)))*3*3).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*c + 11 + 26, -x = -5*c + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 13*x**7\/210 + x**5\/30 - 77*x**3\/6 - 94*x**2. What is the derivative of w(b) wrt b?\nAnswer: 52*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -80. Let m be 6 + 2*(-6)\/4. Let c be 2*(m\/v - 0). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 27*b. Let r(x) = -61*x**2. Determine r(t(g)).\nAnswer: -44469*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:40 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 6*r**2 + 3*r - 6. Let p be u(6). Suppose -13*n = -16*n - p. Sort 1, n, 5 in increasing order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -155. Let w = -2 + -2. What is the smallest value in w, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1163*q**4 + 65694*q**2 - 632136193 with respect to q.\nAnswer: -4652*q**3 + 131388*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11281?\nAnswer: 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 9 = 5*s. Solve 4*y + 15 = 3*u, -2*u + 10 = s*y - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*k - k**2 - 14*k**2 + 152*k in the form r + p*k + s*k**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(-3 + 42\/12). Find the third derivative of -48*l**5 - 2*l**2 + 47*l**5 - 18 - l**q + 45*l**5 wrt l.\nAnswer: 2640*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100462 = -i + 2*b - 100468, 0 = i - 36*b + 74 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57447, -114900, -172315, -229674, -286959, -344152?\n\"Answer: 3*g**3 + g**2 - 57477*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h - 1. Let w be g(9). Suppose -3*v - v = -w. Let m be 50*-1*(0 - 2). What is the greatest common factor of m and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 481*d + 5908. Give m(-15).\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*33.\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 + -137. Let u = 14 - 9. Let p = 10 - u. Solve -p*z + 2*z - 19 = -y*c, -25 = -5*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 53. What is q(-35)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 + 5. Let k = p + 0.2. Let m = -2 + 6. Which is the third smallest value? (a) k (b) m (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4936 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -17*b - 4 - 52 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 279 (b) 0.3 (c) 2 (d) 4 (e) 341\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 4 = 0. Let b be (c\/4 + -1)\/1. Suppose 3*p - 15*p = -72. Solve p*s = s, b = 4*a + 5*s - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.65 + -0.65. Which is the closest to 0? (a) 0 (b) -2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + g - 79 = 0, -n - 13*g + 38 = -14*g. Suppose -56*b = -n*b - 12257. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i - i + 7 - 2*i + 9*i**2. Let s(a) = -a**2 - 39*a - 79. Let p be s(-37). Let t be v(p). Calculate the highest common divisor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433590, 433568, 433536, 433500, 433466, 433440, 433428, 433436?\nAnswer: 433470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewenewep. Give prob of sequence npw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1420144?\nAnswer: -1420150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/1620 - t**4\/12 + 15*t**3\/2 - 7*t**2. Let g(l) be the first derivative of q(l). Factor g(d).\nAnswer: 2*(d - 3)*(d + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20608 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -6 (c) 0.2 (d) 6.49 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 442 or 3\/4?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-11 - -67) + -1 + 15 + -10?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, y: 11}. What is prob of picking 2 y?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -14654, 1 in increasing order.\nAnswer: -14654, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Is 6 a factor of h - (-8 - -1 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -3\/19 (b) 5 (c) -3\/2 (d) -6 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a - 23. Let k(w) = -11*w - 35. What is 2*h(u) - 3*k(u)?\nAnswer: 9*u + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 - 3854*q**4\/7 + 15504*q**3\/7 + 108200*q**2\/7 + 123584*q\/7 = 0. Calculate q.\nAnswer: -1931, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyavavxdahadvy. Give prob of sequence va.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/10*(-70)\/21. What is the common denominator of (3 - 2) + z\/48 and (-1144)\/944 + 1 + 1?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17124*g**5 - 121*g**2 + 101054679*g.\nAnswer: 342480*g**3 - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlllbnblljjjnlhlall. What is prob of sequence ajbl?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6224 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572346?\nAnswer: 2, 786173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -4) + 498\/(-108) and -57\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 35 = 7*a. Suppose -1 = 3*g - a. Suppose g*i + 47 = 4*b - i, 5*i = 5*b - 65. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/65808 and -119\/9140.\nAnswer: 329040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 13*m - 11*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = j + 15*z - 54, -23*j + 5*z - 47 = -11*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -11489862.2?\nAnswer: 11489865.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*v + 22530*v**3 - 119172*v**3 + 722*v.\nAnswer: -96642*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -9 - (3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 8*x**2 - 2*x + 8. Let g be n(4). Let z be 6\/(-18) - g\/6. Let i = z - -45. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5157 + -5014.67. Let j = -143 + c. What is j rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000269625 rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 2 + sqrt(700))*5*-5 + (2*sqrt(189)*2)\/sqrt(3))*-2.\nAnswer: 100 + 976*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 (base 7) in base 16?\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 6*d - 127 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*l - 227*l - 75 + 446*l.\nAnswer: 13*l - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:31 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 1, 1\/5, 0, -2\/7, 4058, -3\/26?\nAnswer: 4058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4143872, 8287721, 12431548, 16575353, 20719136, 24862897, 29006636?\n\"Answer: -11*p**2 + 4143882*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53.4 and 104.\nAnswer: 5553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -620, 0 in increasing order.\nAnswer: -620, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20b465 (base 15) to base 6\nAnswer: 53211422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20876 and 32424?\nAnswer: 169220856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2642123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 5. Let h be m(6). Suppose -j + 63 = 6*t - t, 0 = 3*t + 4*j - 48. Let d = t - 12. Solve 3*n + h + 2 = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 146128 - 16607. Round i to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44 - -46 - 236\/42 and 208\/770 - 10\/25?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31877 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**7\/63 + 2*u**6\/45 + 2*u**5\/15 - 4*u**4\/9 + 79*u + 39. Let x(o) be the first derivative of v(o). Factor x(i).\nAnswer: -2*i**2*(i - 2)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from oajo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 52*y = 48*y - 57, 2*r + 3*y = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-164514903.\nAnswer: 658059612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -2.7. Let a be 33\/27 - (-4)\/(-18). Let m be (0*2\/4)\/a. Is n > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142995.\nAnswer: 3, 5, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))**(-27)*(q\/q**(-1\/6)*q*q)\/(q\/(q**(2\/17)\/q*q)))\/(q**(-3)*q\/q**(2\/3))**(-23) assuming q is positive.\nAnswer: q**(-66947\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/23 or -6\/65?\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-4) - 2 - -22. Suppose -2362 - 1886 = -v*k. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/162*(-10692)\/(-216)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5 + 14. Suppose h*k = -k + 24. Let b(f) = 4*f. What is the units digit of b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 10:21 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 40, -3*h - 16 = -2461*r + 2465*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.00655 - 2.76045. Let p = 0.067 + k. What is p rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 11 + 39. Let j = k + -5. Solve j*h + 3*s = -10, 5*h - h - 3*s = -35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.37 - 0.03. Let i = -2.8 - -0.8. Let x = 0.3 + 0.7. Which is the second smallest value? (a) q (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(0 + (-4)\/10). Let w be (m - -4)\/(3*1). Let t = 113\/7 + -111\/7. Which is the nearest to t? (a) w (b) -0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, 5, -2, -60, 0.\nAnswer: -60, -23, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -251*n - 31*n - 36*n - 86*n**2 + 0*n**3 + 273 - 507 - 2*n**3 = 0.\nAnswer: -39, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 = 9. Let n = u - -2. Is (2\/n)\/(1\/(-10)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389 is divided by 363.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9757.315 kilometers?\nAnswer: 9757315000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 22*n - 15. Let q be h(18). Let c = -46 + q. What is the remainder when 29 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = 16*m - 3, -4*m - 6 = -s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*u = 0, -8*p + 3*p + 2*u + 28 = 0. Factor -3*t**3 - t**4 + t**3 + p*t**3 - 3*t**3.\nAnswer: -t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125301 divided by 11391?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686609.\nAnswer: 97, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11401794 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 6*j + 10 = -j, 0 = g - j + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28152611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1788123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 4. Let h = -3 - -5. Suppose -24 = 5*w - h*w. Let m be s(w). Solve -3 = -m*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + -4 + -1*1. Suppose 5*d = v + 24, -5*d = 3*v - 2*v - a. Let r(l) = 2*l**2 - 4*l - 1. Let x be r(3). Solve -x*i - d*n = 0, -5*i + 6 - 1 = 3*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 3*r**4 + 0*r**4 + (-4*r + 2*r + 4*r)*(-4*r**3 + 4*r**3 + r**3).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714\/1179 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17995, 17703, 16977, 15601, 13359, 10035, 5413?\n\"Answer: -36*o**3 - o**2 - 37*o + 18069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 37. Calculate the remainder when 87 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 119258 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 0*v. Let z(u) = u**3 + 3 - v*u + 3*u**2 + 3*u + u. Calculate z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*68\/(-4 - -2). Let j be f\/(-9) + (-50)\/(-225). Is (-4 - (-20)\/j)*7 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2 (c) -10 (d) 4 (e) -1\/9 (f) -482\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-100)\/55 - (-2)\/11. Solve -m - 8*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -47 - 0\/(8\/(-2)). Let v = 33 + r. Which is greater: v or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -136, -723, -1544, -2473, -3384, -4151, -4648, -4749?\n\"Answer: 21*q**3 - 243*q**2 - 5*q + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(240) - (sqrt(240) - (sqrt(240) - -6*sqrt(240)*2))))\/(3*(sqrt(147)*-2*3 + sqrt(147) + sqrt(147))).\nAnswer: -13*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6*4\/((-168)\/(-3))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = -1 - 43 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -11. Let n = k - -3. Let z be ((-105)\/700 - 231\/(-140))*(3 + -1). Solve d + z*p = -d + 2, 3*d + p = -n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -473b41?\nAnswer: -473b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 51170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264577401?\nAnswer: 983, 1286447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/260)\/((-354)\/284) - (-14)\/84?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52 and -64.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -2\/7 (c) -0.1 (d) 0.2 (e) 110 (f) 1.2 (g) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845997687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/3, -3, 0.07, 18 in decreasing order.\nAnswer: 18, 2\/3, 0.5, 0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*3*(-10)\/(-6). Suppose 4*t = l*t - 4. Suppose t = -k + 5*k. What is the highest common factor of 8 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 824 divided by 103\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + j**2 - 3*j**2)*(2 - 4 + 3) + 1 - 1 - j**2 + 2*j**2 - 5*j**2 + 4*j**2 - j**2 + 13*j**2 + 16*j**2.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 160. Solve 0*o + k = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28053 and 32209.\nAnswer: 869643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1850 - -2018. What is the highest common divisor of 1128 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 6*a**2 - a + 5. Let c = -11 - -13. What is the remainder when (315\/30)\/(1\/c) is divided by j(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110786251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001180993 to the power of 1\/3, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1014 (b) 5\/2 (c) 0.1 (d) 12 (e) -1\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (16704\/126)\/29?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 57*x - 2323112 = 106078. Is x a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 10. Suppose -2*q + d*q - 2*y + 1 = 0, -27 = -4*q - 3*y. Suppose -5*n = -4*n - q. Sort n, 2, -2 in descending order.\nAnswer: n, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -800?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + -3*5*sqrt(132))\/sqrt(12))**2*-3.\nAnswer: -6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7104, -7106, -7108?\n\"Answer: -2*o - 7102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6727 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 200655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672409071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 28 = 11*z. Let c(u) = 105 + z*u - 3 - 5*u. What are the prime factors of c(0)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -33 (c) -46 (d) -11 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + f**3 + 3*f**3)*(849 - 2*f - 849) + 73*f**2 + 12*f**4 - 73*f**2.\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23325, -23757, -24485, -25515, -26853, -28505, -30477?\nAnswer: -32775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141 + 77 + 4*b - 2*b + 88 to z*b + n and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21808.171195 minus 13?\nAnswer: -21821.171195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 29*v - 25*v. Suppose 2*h - 12 = v. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190460 is divided by 44843?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -4 - -3*600. Let s = 10681\/6 - i. Find the common denominator of -10\/3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from xxxxxxxxxxxxxxfxxxx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -264, -352, -528, -822, -1264, -1884?\nAnswer: -2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -0.3, 2, 4, -3, 7016.\nAnswer: -3, -0.3, 2, 4, 78, 7016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -0.1, 8\/9, -1\/24, 6\/11, 1?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(2925\/30))\/(2\/10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21243 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399798 and 1336?\nAnswer: 1599192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -414. Let l be f\/(-4) + (-2)\/4. Let c = -47 - l. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5 + 12*n**4 + 6*n**3 - 92*n**2 - 216*n - 144 = 0. What is n?\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(243)*-1 + ((sqrt(6) - sqrt(24)\/sqrt(4)) + sqrt(6))\/sqrt(2))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13 + 3*n**2 + 12*n**5 + 24*n**5 + 40*n**5 wrt n?\nAnswer: 4560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 - 6672*w**3 - 3766842*w**2 - 61044432*w + 2565828381 = 0 for w.\nAnswer: -1103, -37, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 19. Let f(a) = a**3 - 4*a**2 + 3*a. Let q be f(2). Let h(u) = -6*u**3 - 3*u**2 - 2*u - 1. What is the remainder when h(q) is divided by t(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -642\/211 - -21615920\/7104159. Let m = r + 3198523\/538704. Let u = -3 + 37\/4. Calculate the common denominator of m and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 13*i**2 - 13*i + 11. Let d be f(12). Which is greater: d or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1198 + 1333. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 989, 3250, 7611, 14762, 25393?\nAnswer: 40194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - k + k + 7*k - 4*k - 4*k + (-2*k - 2*k + 2*k)*(-4 + 1 + 4) + (5 - 1 - 5)*(-3*k - 5*k - 2*k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1750, -3503, -5256, -7009?\nAnswer: -8762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 801634157 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1. Let p(r) = 48*r + 40. Determine 160*m(l) + 4*p(l).\nAnswer: 192*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 9*o + 1. Let m be w(5). Let y = 38 - m. Calculate the remainder when (-196)\/(-6) - (-1)\/3 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 14. Let p(f) = 6*f + 1. Let k(v) = -11*v - 2. Let n(m) = -k(m) - 2*p(m). What is the smallest common multiple of 24 and n(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 35 = -13. Calculate the least common multiple of v and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g - 335. Give y(36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/3 - k**3\/2 + 11*k**2. Let c be l(-3). Suppose 18*o = c*o. Solve o*f = 3*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Let b(c) = -27*c - 247. Determine b(l(s)).\nAnswer: 54*s**2 - 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 19*q = -3036. Let s = q + -541. Is (-2 + (-11)\/(-2))*s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z)*(71 - 225 + 71).\nAnswer: -83*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*k - 7067 = 2512123. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 22*f + 23. Let o be z(23). Suppose 16*n - j = 19*n, -5*n + 5*j = o. What is the second biggest value in 1, n, -1.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12144 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-270 + 10 - b + 61)*(5*b**2 - 4*b**2 + 18*b**2) in the form h*b + a*b**3 + y + t*b**2 and give t.\nAnswer: -3781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2304)*2*-3 - sqrt(2304)) + sqrt(2304))*-1)\/(1*(sqrt(192) + -5*sqrt(192)*-3)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 800031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**6\/30 - 2*q**5 - 1021*q**4\/6 + 2402*q. Find the third derivative of p(a) wrt a.\nAnswer: 24*a - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:27 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*f, -5*h + 3 = -0*h + 2*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 1, 8, 1016, -2 in descending order.\nAnswer: 1016, 8, 4, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*v - 6456 = -575*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 174*p**2 + 6802*p - 38369. Give f(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134513404 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5396527913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.4407 milliseconds in microseconds?\nAnswer: 328440.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7059 rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -41890\/27 at most as big as -1550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/24 + (50\/(-12) - -4). Suppose y = b + 27 - 170. List the prime factors of b.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -911974 + 1331217. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/(k**(3\/13)*k*k)*k*k**(-5\/7)*(k\/k**(1\/17)*k*k*k)\/k assuming k is positive.\nAnswer: k**(-7741\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a**2 - 1. Suppose 36 = -z + 4*v, -5*v + 16 = -4. Suppose -4*o = -3*o - 3, -4*h + 93 = 3*o. Let n = h + z. Calculate x(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 7 = 2*a - 2*v, 3*a + 3*v = -3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 699827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*d**2 + 170*d**2 - 678*d**2 + 168*d**2 + 168*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 297411 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5153531 (base 7) in base 5?\nAnswer: 124241403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 20, 4, 1, 0 in decreasing order.\nAnswer: 20, 12, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 5\/(15\/6864) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 10*g + 11. Let w be h(-9). Suppose -4*f - i + 11196 = 0, 0 = 2*f + w*f + 3*i - 11188. What is f rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47442.753 rounded to the nearest one hundred?\nAnswer: -47400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*2)\/(228\/304). Let t be r\/(-10)*(-605)\/(-44). What is the highest common factor of t and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38 and 45.72.\nAnswer: 83.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -189*c - 16. Let h be p(4). Let u = -556 - h. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + (106 - 123) + -7.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*1\/(-6)*(-3)\/(-5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -1352?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times 5?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 324*p + 347. Is j(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2172478806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1133352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596560 divided by 466380?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37300183 + 0.373. Round s to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 25*z**2 + 22*z + 38. Let p be q(24). Find the common denominator of 87\/2 and (-22 - 1)*p\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + p - 1012, 0*p + 5060 = 5*h - 4*p. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3809*v**3 + 2*v + 2 - 2 + 194*v**3.\nAnswer: -3615*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48)\/sqrt(4))\/((sqrt(6) - (sqrt(48)\/sqrt(4))\/sqrt(2)) + sqrt(6)) - (6*(1 + sqrt(2)) + sqrt(6)\/sqrt(3)*-4 - sqrt(4)\/(2*sqrt(2)*5))**2.\nAnswer: -2161\/50 - 109*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2 - 9*m + 1. Let g(q) = -q + 5. Let z(x) = -7*g(x) - 4*u(x). What is the units digit of z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 147*l - 623. What is v(4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Let y = 714 + -708. Solve q = -2*h - y - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31552 - -22323?\nAnswer: 54315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 9 in decreasing order.\nAnswer: 9, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*26\/(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5*u = -14. Suppose u*v - 15 = 4*v. Suppose q = -0*x + 3*x + 78, -4*q - v*x = -244. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = -40. Let t(o) be the first derivative of 35*o**2\/2 - 128*o - 52. Let r be t(4). Calculate the greatest common divisor of n and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**4 + 1\/12*d**5 - 8*d**2 + 0 + 0*d + 0*d**6 - 1\/48*d**8 + 0*d**7 + 0*d**3. What is the third derivative of b(s) wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2. Let r(g) = g**2 - 15*g. Let a(l) = l**2 - 4*l. Let b(n) = -2*a(n) + r(n). Give h(b(v)).\nAnswer: -7*v**4 - 98*v**3 - 343*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.974 and -689.\nAnswer: 671.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 27*z - 68. Let u be i(8). What is the highest common divisor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. What is the first derivative of -8*q + 8*q - o + q**4 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*b + 9, 16*b - 21*b - 69 = -3*x. Calculate the remainder when 7773 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13232100 and 1722?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w + 5. Let g be n(5). Suppose -3*m - 2*m = g. Suppose 5*j = 3*o + 8, 4*j + 4*o = 9 + 23. Sort j, 2, m in decreasing order.\nAnswer: j, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 253*d**2 + 252*d**2 - 751*d**2 + 251*d**2. Let s(g) = -2*g**2 - 1. What is s(n(k))?\nAnswer: -50*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c - 3. Calculate r(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -172729296 + 0.2\nAnswer: -172729295.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -2, 5, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 4*y - 14*y as a*y + c and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25798153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -337 + 537. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 10, -5, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 - 1220*z**3 + 7440*z**2 - 14960*z + 10000 = 0. Calculate z.\nAnswer: -250, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = 16*r - 20. What is the fourth smallest value in -8, r, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*j**3 + 3 - 2 - 1.\nAnswer: -4*j**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5*f = 4*x - 132, -2*f + 81 = 5*x. Suppose -21*m + f*m = 2149. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from diw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 - 2\/(-3). Let z = 1005.2 + -181.2. Let h = 829 - z. What is the nearest to i in 2\/5, h, -14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 4, g: 3}. Give prob of sequence wqwg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 8*q - 7*q = -1, r - 2 = -4*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 - -3.3. Let t be -3 + (-12)\/32*-4. What is the closest to g in t, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1992.4180004 - -1987.418. Let x = q - -5. What is x rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 4*y + 4. Let r(t) = 14*t**2 - t. Let f(q) = 104*q**2 - 25*q + 21. Let n(c) = -f(c) + 6*r(c). Calculate -2*n(a) - 11*v(a).\nAnswer: -4*a**2 + 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, a: 3, u: 2, h: 3, b: 1}. What is prob of picking 1 h and 1 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -8, -98 in descending order.\nAnswer: 2\/5, -8, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*x + 278*x + 516 - 450*x)*(-4*x + 2*x**2 + 4*x).\nAnswer: -6*x**3 + 1032*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*q - 98 = 0, 212*q - 18 - 18 = -4*v + 216*q + 48 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148328?\nAnswer: 2, 3, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105072.\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)*l**12 assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16333.3 and 330348?\nAnswer: 346681.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1144, -2306, -3458, -4594, -5708, -6794, -7846, -8858?\n\"Answer: f**3 - f**2 - 1166*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2071*c**3 - 7*c**2 + c - 3. Let g be y(-7). Round g to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Let v(z) = 47 + z**2 + 42 - 22*z - 136. Let m be v(24). Solve h*w = -m + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-65))\/(4\/(-6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 9*s + 36. Let g(o) = -4 + 26*o + s - 27*o. Determine g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.5 - 6. Let d = -155\/16 - -3245\/368. Let i = d - -186\/161. Put i, k, -1\/2 in descending order.\nAnswer: k, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-3) - 3)*-15. Suppose -70 = -5*i - v*p, 2*i = -i - 5*p + 42. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 1. Suppose 6 = -i - 2*v, 2 = -3*i - v - 1. Suppose 2*w = -i*w - 4. Calculate j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/4)\/v**(1\/12))\/(v*v**(-3\/5)*v**(-1\/5))*(v*v**0)\/(v\/(v*v*v**(3\/5)))*(v*v*v**(-2\/5)*v)**(-44) assuming v is positive.\nAnswer: v**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 16) in base 2?\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/72 and 19\/6209478.\nAnswer: 24837912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000931425901 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2779, 2778, 2775, 2770, 2763, 2754?\nAnswer: 2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22213 + 1425?\nAnswer: -20344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(312\/1510 - 14\/70). Let o = 633 + q. Is o at least as big as 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 + 23?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 3342000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5825322 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -24. Let g = o - 22.1. What is g rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 7*f - 7. Let y be m(6). Let l = -189 + -20. Let d = l - -209.2. What is the nearest to y in d, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 0*j - 6*j**2 + 8*j + 0*j**2 - j. Let s be m(-7). Suppose -u + 4*c + 48 = 0, s*u = 3*u + 5*c - 127. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2506 + 314 = 4*i. Suppose 83*r - 78*r - i = 0. Suppose 2*a + 9*w - r = 4*w, 201 = 3*a - 3*w. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*l + 15 = -3*l, 0 = 3*n - 2*l - 22. Let m(h) = h + 4. Let p be m(n). What is the greatest common factor of p and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:39 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + -9. Let y be (-4)\/i + (-62)\/(-22). Suppose 4*a - o - o = 18, -a + y*o = -12. Solve -8*d + 3*n - 40 = -a*d, -4*d = n + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 + 3 + -3 + 0. Calculate the greatest common divisor of 136 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 2*v, 2*v + k + 2 = -3*v. Let u(b) = b**2 - b - 3. What is u(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/2)\/h))**(-36\/11)*h**0\/h*h**(-2\/5)\/h*(h*h**1)**(-2\/37)*(h*h**0\/h*h*h*h)**(14\/11) assuming h is positive.\nAnswer: h**(-7324\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64048174 by -1697.\nAnswer: 37742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4083*m**3 + 10*m**2 + 4*m + 7. Let q be s(-7). What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 3. Let c(h) be the first derivative of -2\/5*h**5 + 0*h - 1\/2*h**2 + 0*h**z + 0*h**4 - 2. What is the second derivative of c(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213570*r*w**2 + 7729800*r*w + w wrt w?\nAnswer: 427140*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 674*s**2 + 2 - 2*s + s**3 + 2*s**3 + 673*s**2 - 2*s to the form f*s**2 + u + v*s + m*s**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 17358.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 0.5, -26\/37.\nAnswer: -26\/37, 0.5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**3 - 17*p**2 + 6*p + 10. Give x(4).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 29. Suppose 9 + 8 = m. Let u be l(m). Let h = -25 + u. Calculate the remainder when h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 76?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let x(f) = 2*f - 6. Let b be x(5). Suppose q - b = -0. What is the nearest to -1 in 0.4, u, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.5. Let b = 1297\/13398 + -1\/638. What is the second smallest value in m, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59428250 and 65371075.\nAnswer: 653710750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 - r - 9. Calculate v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1880 and 123704?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 52*p + 230. What is b(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h + h**2 + 1 - 5 + 4 + 4. Let o be v(9). Solve 2*m + 2*m = 5*p + 2, -16 = -2*p - o*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tavvpvvppaatvvtvv. What is prob of picking 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vti when three letters picked without replacement from {v: 5, i: 1, t: 5}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(133)*-5)\/(3*sqrt(175)*-4 + sqrt(175)).\nAnswer: -16*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/25))\/s*s*s**(-32) assuming s is positive.\nAnswer: s**(-778\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccccccccccccccicc.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5447, 5432, 5395, 5330, 5231, 5092, 4907, 4670?\nAnswer: 4375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 4 = -4*r. Let b = -5 + r. Factor -2*q**3 + 6*q**3 + b*q**2 - 4*q**2 - q**4 - 2*q**3.\nAnswer: -q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 + 3131110*t**3 + 17085197 wrt t.\nAnswer: 4*t**3 + 9393330*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d. Let i(v) = 67149*v**2. Determine g(i(k)).\nAnswer: 268596*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1369 + 1467. Suppose 0 = -h*j + 147 + 147. Let y = -0.1 - -0.1. What is the closest to 0.07 in j, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.07, 3 in decreasing order.\nAnswer: 3, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 12 - 1918*k + 25 + (0 - 2 + 3)*(2 - 2 + k) to the form l + a*k and give a.\nAnswer: -1917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 - 79 + 2*x**2)*(-10*x + x + 74*x) to the form i*x**2 + b*x + y*x**3 + s and give y.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/((-28)\/(-48) + 5\/(-20)). Sort -59, x, -6 in decreasing order.\nAnswer: x, -6, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 - 666 = 205*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 2*l + 2 = 5*q, 3*l - 3 = q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000200022221 (base 3) to base 5.\nAnswer: -233414440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 32420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/5 and 9\/1167913?\nAnswer: 5839565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -adac1 (base 15) to base 5.\nAnswer: -120140211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001001101 (base 2) to base 12.\nAnswer: 24b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllllllllyllll. Give prob of picking 1 y and 1 l.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*y + 1190 - 2 = -266*y + 329*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9280125320 rounded to the nearest one million?\nAnswer: 9280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24507 and 234.\nAnswer: 637182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4059 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: What is 0.5 minus 148455264686.01?\nAnswer: -148455264685.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 2607960*t**3 - 850168880300*t**2 + 8501884401000*t - 21254874001250.\nAnswer: -2*(t - 5)**2*(t + 651995)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 19005*n + 1259868.\nAnswer: 3*(n - 6268)*(n - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -55254985 bigger than -55254985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7834183521 less than 656?\nAnswer: -7834182865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - o. Let p be l(-1). Let v = 3\/14 + 2\/7. Factor 1\/2*w**p + v*w**2 + 0 - w.\nAnswer: w*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + -3. Let j(f) = -6*f**2 - 2*f + 4. Let g be j(2). Let c = t - g. Solve 0 = 2*s - c - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936959 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -62.6, 2 in decreasing order.\nAnswer: 59, 2, -62.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59571?\nAnswer: 3, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, v: 1, e: 1, z: 4, j: 2}. Give prob of sequence fjef.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + 3*(-4*sqrt(9)\/sqrt(3) + (sqrt(33)*1)\/sqrt(11) - -3*sqrt(15)\/(sqrt(15)\/sqrt(3) + sqrt(5)))**2.\nAnswer: 93\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*h - 69*h - 11 + 15 + 21 wrt h.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12*j = -180. Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - -2*sqrt(1100)) + 3 - (-2 + 1*sqrt(1100)).\nAnswer: 5 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 75 = -r. Let z = 20 + r. Solve 4*u + 3*i = 2*u + 25, z*u - 5*i = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 4. Suppose -5*i = -z - 4 - 9, -z = -i + x. What is the second derivative of 6*y**2 - i*y**2 + 5*y**4 - 3*y**2 + y wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7344)*2*-4)\/((sqrt(12)\/sqrt(4)*6 - sqrt(3)) + (sqrt(3) + sqrt(6)\/sqrt(2) + sqrt(3))*-6))**2.\nAnswer: 156672\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1479822299.\nAnswer: 1479822299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6d (base 14) to base 8\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3748, 3334, 2922, 2512, 2104, 1698?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 - 33*o**2 - 1183 + 2431 - 1248.\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhc when three letters picked without replacement from huuushusspcuuysssyu.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 - v**4\/2 + 4*v**3\/3 - 4*v**2 - 34*v. Let l be a(5). Sort -3, 3, l in descending order.\nAnswer: l, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 245 = 2*n, -4*n + 427 = -3*d - 98. Which is smaller: 133 or n?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8260 and 8715140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/600 - y**5\/50 + y**4\/10 + 2*y**3\/3 + 2. Let f(b) be the third derivative of r(b). Solve f(m) = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/1440)\/(2 - 1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666415849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, a: 2, i: 1}. What is prob of sequence iwwa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 17309 - 8558 - 23567*n - 8751 as x*n + t and give x.\nAnswer: -23567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w = -3*w - 35, -26*b + 11*b - 32*b - 2*w - 108 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-8))\/((-80)\/((-120)\/15))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4194*h + 3703*h**4 - 3282*h + 488*h**2 + h**3 - 3699*h**4 wrt h.\nAnswer: 48*h**2 + 6*h + 976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2930 and 43\/1172?\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:44 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189385 is divided by 1002.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 4*d**2 + 3*d**2. Suppose -4 - 4 = -2*i. Suppose 5*h + i*c = h, 2*h - 5*c + 14 = 0. Let r(b) = b**2 + b. Give h*m(s) + r(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 19. Let t = -43 + 67. Suppose 4*d - t = -p. Calculate the highest common factor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*a**2 - 66*a**2 - 2*a**3 + 0*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1050 + -994. Calculate the remainder when n is divided by ((-29)\/2)\/((-1)\/2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.379981 rounded to 3 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1544429030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*t**3 - 28*b**2*t**2 - b**2*t - b**2 + 1262307*b*t**3 + 170088*b*t - 7*t**3 wrt t?\nAnswer: -12*b**2 + 7573842*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*g + 78*g = -4825 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 583012 - -199941. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, c: 4}. Give prob of picking 2 c and 1 j.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 + -6 + 1) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, a: 2}. Give prob of picking 1 a and 2 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7475 = 2*g, 3690 = 4*g - 5*i - 11255. Is g a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74938373 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/72 - 11*z**4\/12 - z**3\/6 + 90*z**2. Let w(d) be the second derivative of q(d). Let y(b) = 4*b. Give w(y(u)).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 - 163 - 165 - 31*s.\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2. Let t(n) be the first derivative of -n**4\/2 - 4*n**3\/3 + n**2 - 14*n - 9566. Give 4*q(b) - t(b).\nAnswer: -2*b**3 - 2*b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6356 + 971*m**2 - 11*m**4 - 926*m**2 - 4*m**4 wrt m?\nAnswer: -60*m**3 + 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times -345749?\nAnswer: 79522.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10130131330 (base 5) to base 15.\nAnswer: da53b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*(-1)\/(-2). Let p be (3\/(-9))\/(4\/(-6)). Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 12*b**2 - 21*b + 14. Let z be ((-1590)\/(-1166))\/((-6)\/(-44)). Give g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222 or 232?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10024 (base 5) to base 14\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-11 + 16\/4 - -11). Sort 5, w, -27 in increasing order.\nAnswer: -27, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + (-1 + (sqrt(72) + -1 - sqrt(72)))**2)*-4 + 6*-6*(sqrt(8)\/sqrt(2))\/sqrt(2) + -5.\nAnswer: -60*sqrt(2) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**4*b + a**4 - 2*a**3*b - 67*b - 6 wrt a.\nAnswer: -12*a**3*b + 4*a**3 - 6*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 89199 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2933494180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8697 divided by -2?\nAnswer: 8697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwwppppwzpwp. Give prob of picking 2 w and 1 p.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:20 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -27. Let t(m) = m**2 + 2*m - 4. Let y be t(o). Which is bigger: y or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-10)*(-4)\/294*-15\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let k = q - 1. Which is the closest to 2? (a) k (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -971, -3980, -9011, -16076, -25187, -36356, -49595?\n\"Answer: -2*t**3 - 999*t**2 + 2*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13930 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - -137580.64?\nAnswer: 137580.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -4*n + 3*s, s - 21 - 30 = -4*n. What is the smallest value in -0.4, 3, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.238904um in meters?\nAnswer: 0.000003238904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -221, 9, -9, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-3)\/(-6) - (-66)\/12)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75980812.\nAnswer: 2, 29, 271, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**4\/5 + 10158*s**3\/5 + 2869633*s**2\/5 + 1909704*s\/5 + 318096\/5.\nAnswer: (s + 564)**2*(3*s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -57. What is the second smallest value in -1\/8, -5, f?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 158*w - 21. Let a(c) = 86*c - 11. Let m(j) = 11*a(j) - 6*s(j). Suppose -4*l + 2*n = 3*n - 44, -16 = -3*l - 5*n. Suppose -x = x - l. Give m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/55 and -3\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/28 - (-2)\/7. Suppose 5*u + l*a = 92, -4 + 5 = a. Suppose 4*t = 7 + 1. What is the highest common factor of u and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2053, 4105, 6157, 8209?\n\"Answer: 2052*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + 0.2. Let g = -2.5 + -153.5. Let u = g - -156. Sort u, -3\/2, k in increasing order.\nAnswer: k, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-11))\/z)\/z*z**(1\/10))\/(((z\/z**(-2\/5))\/z)\/z**(-9)) assuming z is positive.\nAnswer: z**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 14*h**2 + h - 9. What is a(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.6, -4, 0.25, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6 and -107\/105706?\nAnswer: 317118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40)\/288*737\/2640*-3 and -71\/144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4565, 3, -0.4, -1076?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 109*t**2 + 126*t - 1759. Give c(110).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 1532*f**2\/9 - 13520*f.\nAnswer: -2*f*(f + 90)*(f + 676)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 0 + 0)*(549*c**2 + 485*c**2 + 4918*c**2).\nAnswer: 5952*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -87693.\nAnswer: 17538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3310 - 12?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 1. Let a be y\/(1\/(-1)) - 3. Is a at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/4 + 16*j**3\/3 - 13*j**2\/2 + 14*j - 2. Calculate the remainder when h(15) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7245\/28)\/23)\/(((-83)\/1328)\/(1\/(-12))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 994558905 to the nearest one million.\nAnswer: 995000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/3, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -374 + 380. Sort -1, m, -5, 4 in ascending order.\nAnswer: -5, -1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13619*p**5 + 13868*p.\nAnswer: -272380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16035 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: List the prime factors of 34545.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**3\/7 - 1299*q**2\/7 - 8892*q\/7 - 3348\/7.\nAnswer: 3*(q - 93)*(q + 6)*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.525524 milliseconds?\nAnswer: 0.00000005237875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + k**2)*(-10*k**3 - 1 - 13*k**2 + 13*k**2).\nAnswer: -10*k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 140813585 to the power of 1\/2, to the nearest integer?\nAnswer: 11866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/7)*y*y\/(y**(-2\/55)\/y*y)*y*y assuming y is positive.\nAnswer: y**(1499\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let f(d) = 2*d**2 - 5*d + 2. Let l be f(3). Suppose 20 = x + l*s, 5*x + 15 = -2*s - 0*s. Which is the biggest value? (a) 0.3 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7318*l**3 - 916*l**2 - 11. Let c(b) = -1464*b**3 + 183*b**2 + 2. Let j(y) = -19*c(y) - 4*o(y). What is the third derivative of j(n) wrt n?\nAnswer: -8736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 - 120*n + 8. Let b be m(-30). Let r be (183\/(-6))\/(2\/(-236)). Suppose 13671 - r = b*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44100 greater than or equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (3\/1 - (-21 - 0)). Suppose k = -5*i + 10 + x, 3*k - 129 = 3*i. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - (0 + 30\/9). Which is the nearest to -2\/7? (a) 0.08 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 150 = 2*p, 3*c = -2*p + 152. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3076645, -3076789, -3077029, -3077365?\nAnswer: -3077797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 2 = 0. Let n be -2267 + (0 - 2\/f). Is (n - 3)\/(-4) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 13) in base 2?\nAnswer: 110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 208 = 4*s, -170 = -3*s - 4*o - 14. What is the greatest common factor of 559 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2. Let q be (-38)\/120 - (-4)\/10. Let o(p) be the second derivative of -p + 0 + 0*p**3 + q*p**4 + 0*p**2. What is o(j(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5865)\/30*(-420)\/(-1190).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1521, 4724, 10055, 17514, 27101?\nAnswer: 38816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -4386a293?\nAnswer: -4386a295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.1 - -17. Let v = y + -4.9. Let q = -29 + 29.1. Sort q, -1\/2, v in decreasing order.\nAnswer: q, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 34162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/33 = 1.31542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 184991, 369976, 554959, 739940, 924919?\n\"Answer: -z**2 + 184988*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 4, h: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h. Let z(p) = 60*p. Let i(b) = 28*a(b) - 3*z(b). Let w(n) = -34*n**2. Let v(f) = 7*f**2. Let g(m) = 14*v(m) + 3*w(m). Determine i(g(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -11 - (-4 - (3 - 4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:03 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -4*l - 17*y + 18, 6*y = 4*l + 22. Solve b - 2*j = 5, -b = -5*j + l - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 - 15*w**2 - 11*w**2 - 18*w**2 + 12*w**3 + 53*w**2.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033 (base 7) to base 4.\nAnswer: -23012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 25 + 3. Calculate the highest common factor of o and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 198*w + 385. Let t(u) = 11*u + 21. Let c(z) = -9*d(z) + 165*t(z). Let b(k) = 8*k + 1. Give c(b(a)).\nAnswer: 264*a + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -7. Let z(q) = q**3 + 8*q**2 - 11*q - 8. Let m be z(h). What is the remainder when 66\/10 - (-4)\/m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-39054388)\/(-14))\/(-2) + 12\/(-224)*8. What is b rounded to the nearest 10000?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-30)*(-3)\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1962)\/(-40221) + 701\/(-82).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -468*x - 37 - 185*x - 900*x - 639*x. Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 10*y**2 - 12*y + 7. Suppose -4*m + m - 30 = 0. Is l(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + z + 1 - 10, 2*z = -j + 6. Let y be (j - -1)*(-144)\/120. List the prime factors of ((-9)\/y)\/((-3)\/(-82)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 - f + 1. Let u(v) = 48*v**3 - 2*v**2 + 2. What is -u(l) + 2*z(l)?\nAnswer: -50*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 12.592465269?\nAnswer: -12.092465269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + 0.08. Let i = -7647 - -7630. Which is the nearest to o? (a) 4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:01 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 195, 210, 247, 312, 411?\n\"Answer: i**3 + 5*i**2 - 7*i + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*c - 34, 106153*c + 2*p = 106157*c - 30 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -2. Let y = 9 + a. Suppose y + 7 = f. Calculate the remainder when 25 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3 - (-106)\/159 - (-2)\/(-1). Let m(b) = -4*b**2 + 2*b + 1. Give m(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11865, 23685, 35491, 47277, 59037, 70765, 82455, 94101?\nAnswer: 105697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 0.37, 227, 1\/8, 2\/21, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 38, 19, 2, -13?\n\"Answer: h**2 - 24*h + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9932223500 rounded to the nearest 1000000?\nAnswer: 9932000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.55 + 0.55. Let t = b + 61. Let i = 29.99999864 - t. What is i rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(1\/4))\/a)\/(a*(a**(-1\/9)*a)\/a*a*a*a))\/(a**(-2\/7)\/a*(a*a*a**(-10)\/a*a)\/a))**35 assuming a is positive.\nAnswer: a**(8375\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17\/3, 1\/5, -1, -2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -a - 14, -2*v + 18 = -4*a. Let m = a - -2. Put 2\/7, 3, m in descending order.\nAnswer: 3, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17. Let f = -3068 + 3070. Let g(q) = -q**2 - 8*q + 7. Let k be g(-9). Sort f, p, k.\nAnswer: k, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -134*t**3 - 10*t**2 + 6*t + 10. Let h(z) = 44*z**3 + 3*z**2 - 2*z - 3. Calculate 10*h(r) + 3*k(r).\nAnswer: 38*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from rmpmmmrmpmpmmppompr.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61203*k + 61654*k = 15785 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -917, -1838, -2759, -3680, -4601, -5522?\n\"Answer: -921*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*w = -0*c - 2, -7 = -c - 5*w. Let y(k) = 5 - 44*k - c + k**2 + 51*k. Let p be y(-7). Solve v + 2*r + 6 = -3*v, -p = 3*v + 3*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436.69+0\nAnswer: -436.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -15*q - 66 - 66 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4427700 and 109\/6.\nAnswer: 4427700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w**2 - 231*w + 231*w + 62*w**2.\nAnswer: 99*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 13 - 20\/3*i**3 + 0*i**2 + 0*i - 3\/2*i**4. What is the third derivative of v(m) wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 164875, 329748, 494619, 659488?\n\"Answer: -l**2 + 164876*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**3 + 6*k**2 - 5. Let p(d) = 9*d**3 - 6*d**2 + 6. Let z(r) = -6*h(r) - 5*p(r). Factor z(v).\nAnswer: 3*v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -168328693.9.\nAnswer: 168328694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 0.1 (c) 33654\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j + 4*j + 0*j + j - 7*j + j + j - 10 + 10 + (-1 + 2 + 0)*(-j - 3 + 3) - j + 2*j + j to s + u*j and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 11*f**6\/360 - f**3\/3 + f. Let w(y) be the second derivative of n(y). Let d(q) = 4*q - 4*q + q. What is d(w(b))?\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -36560*n - 109673. What is r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53 - 3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 185, 273, 359, 443, 525?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 1. Let f(y) = -9*y**2 + 21. Give -18*d(q) + f(q).\nAnswer: -27*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -333, -1\/6, 22, -0.07 in descending order.\nAnswer: 22, 0.4, -0.07, -1\/6, -2, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2410 divided by 36\nAnswer: -1205\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1425, 13, -5 in ascending order.\nAnswer: -5, 13, 1425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(0 + (-3)\/18). Which is the closest to 3\/26? (a) -1\/2 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110111011011001 (base 2) to base 12.\nAnswer: -2b475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 16*a + 8*a + 9.\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttpt when four letters picked without replacement from ppttptrt.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 4 - (-5 + -16)) + (-11 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2 + 12. Suppose -6*n + 970 = -4*n - q, k*n = 5*q + 2425. Suppose -o - 4*o + n = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 3 = -15*h. Suppose 5*l = -q + 2, -3*q - 4*l + 48 = -h*l. What is the remainder when 62 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.74 - 0.16. What is the closest to 0.1 in k, -0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7\/4, -12, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, -7\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**5\/5 - 3*f**2 + 62*f + 44. Find the first derivative of l(u) wrt u.\nAnswer: 8*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1183502 divided by 2\nAnswer: -591751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from dedjd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide -14 + 69282\/27 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 1. Let y(a) be the third derivative of -5*a**4\/24 - a**3\/2 + 14*a**2. Suppose g = -2*t + 2, 8 = -9*g + 13*g + 3*t. What is g*y(i) - 7*w(i)?\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 84, 83, 78?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342704417?\nAnswer: 11, 31154947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -135153.6.\nAnswer: -135154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 4*b**2 + b + 1. Let d be f(4). Suppose 3*h - 5*q - 50 = 105, -d*h - 4*q + 320 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11 = 3*o - 30, 0 = 3*g + 4*o - 6. Are g and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136.6 and 4.2.\nAnswer: 573.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18*-225.4\nAnswer: -4057.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:32 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {b: 1, c: 1, i: 4, s: 1, a: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 29*z + 1 = 0. Let r(a) be the first derivative of -3\/2*a**2 + 0*a + z - a**3. Factor r(s).\nAnswer: -3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 + -258. Solve 0 = -2*b + 4*v - 18, i = b - 3*v + 4*v - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -1001*l**6\/2 - 3685*l**3\/3 - 1628. What is the third derivative of o(x) wrt x?\nAnswer: -180180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -5*m**4\/24 + 8*m**2. Let p(y) = 3*y. Determine p(r(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from iffiffffififufifi.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -362.8 + 401. Let j = o + -38. Put 1\/6, -0.4, j, 3 in descending order.\nAnswer: 3, j, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/2, -4, -2\/5, -7\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:43 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -4151\/3 and -1383 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 781 and -10.5.\nAnswer: 770.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3608332 divided by -23?\nAnswer: 156884","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*z + 55*z + 7820 = 20*z. Suppose 0*c + 4*c = -84. Let n = c + z. What are the prime factors of n?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/2 + 14. Do n and -1.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -8. Let h = t + 2. What is the smallest value in 3, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**2 - 34*c + 5. Let f = -235 + 230. Let q be p(f). Solve 2*k + 4*k - 18 = q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 + 668*k**2 - 265*k + 412. Calculate b(-134).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, -1, 15.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2739 - -2727. What is the nearest to 0 in -2, 1, 9, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1606757 (base 11) to base 8\nAnswer: 12364612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:19 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 4*y**2 + 10*y + 13. Let b = 231 + -360. Let g = b + 121. Is w(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from vjjjjjjvvvjjjjjjvjjj.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(80) - sqrt(80)*-2 - sqrt(80)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 384?\nAnswer: 16512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = 3*b, 3*f + 0*f + 5*b = -10. Let p(d) = d**3 + 7*d**2 - 6*d + 11. Let n be p(-8). Let t = f - n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-8 - -2 - -8) + 4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(33\/(-234))*25*79\/3950.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2023, 2020, 2017, 2014?\n\"Answer: -3*w + 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -178.61318 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - l - 11 = -5*l, -x - 5*l = -22. Let d = -8 - x. Let q = -135.6 - -136. What is the third smallest value in 2, q, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/6 - 33*w**2\/2 + 68*w - 206\/3 = 0.\nAnswer: -103, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**3 + 0*s**3 + 3*s**3 + 0*s**3 - 28*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2939636, -2939671, -2939706, -2939741?\nAnswer: -2939776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/448 and 107\/72880.\nAnswer: 2040640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6391662ng to milligrams.\nAnswer: 0.0000006391662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - g + 1107, -g = 4*q + 1361 + 115. Are q and -371 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 17. Let t(n) be the first derivative of -n + 6 + 1\/2*n**2. Let q(z) = 2*z - 2. Determine b*t(p) - 2*q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -u - 3, 0 = 4*u - 5*o + 1 + 2. Let r(p) = 3*p**3 - p**2. Let i be r(u). Let a = i - 33. Round a to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4172 and 2*-3*7\/105*-5?\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 14886*h**2 + 18495819*h + 73745292.\nAnswer: 3*(h + 4)*(h + 2479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748*b - 32*b**2 + 373*b + 375*b.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*h - 240*h + 2*i - 76 = -122*h, 4*i = -3*h + 40 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from ldldlldl?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.4 (c) -13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012279001443 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17787, -13653, -9519, -5385, -1251, 2883?\nAnswer: 7017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504440367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26619534 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/5 - 887268*u\/5 + 1774532\/5 = 0.\nAnswer: 2, 887266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -384 or -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11934224 to the power of 1\/2, to the nearest integer?\nAnswer: 3455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 19 - 43. What is the common denominator of 43\/12 and (-5)\/(c\/21 - 1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*-1 + 2. Let d = -55 - -56. What is the closest to d in -1\/4, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37130723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-15)\/9)*(-85 + -2). Differentiate u - 3*w - 14*w + 14*w**2 + 17*w with respect to w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333529.5 millimeters in micrometers?\nAnswer: 333529500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -22 in increasing order.\nAnswer: -22, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*c - 3*c + 0*c - 8.\nAnswer: -3*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 10*l**2 - 15*l + 8. Let a(q) = 23*q - 182. Calculate the lowest common multiple of g(-8) and a(8).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/4 - p + 62. Let o(g) = -4*g**3. Determine -3*o(b) + 2*q(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*h = -1242698 - 477802. What are the prime factors of h?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052885 rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 17*i + 2 + 1 as c + q*i and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) + sqrt(45)\/(-1*sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1166 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1002 by 6.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -5, 0.2, -1\/5, 0.8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) 23\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3404)\/575 - (-2 - 104\/(-50))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928972 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m. Let s be z(-1). List the prime factors of (-46)\/(-3) + (-4)\/s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6263 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -100*z**2 + 209*z**2 - 110*z**2. Let s(l) = -17*l**2 + 13*l. Let x(o) = -3*o**2 + 2*o. Let f(n) = -6*s(n) + 39*x(n). Determine f(t(j)).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 7b2775?\nAnswer: 7b2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2051440 + -4?\nAnswer: -2051444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(16))\/sqrt(2) + sqrt(8))\/(sqrt(64)*-1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 13*o - 60 = 0. Let n = o + -11. Solve -3*k = -3*i, -n*i + 5*k + 1 = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213805 divided by 42761.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*p + 1 = -5*p, -3*g = -2*p + 3. Let w = g + 12. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/80920 and 109\/168.\nAnswer: 242760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15690, 11477, 7264, 3051?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3385831 micrometers?\nAnswer: 0.00003385831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfvnvvnnn. What is prob of sequence fnv?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*k + 10 = 0, r - 2*r - k = -2. Suppose -d + 17 = -0*d - 3*x, -2*d + 5*x + 29 = 0. Suppose d*z - 1 = 1. Sort z, -1, r.\nAnswer: -1, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 6*a + 4*f - 5, 10 = -5*a + 5*f. Let t be (-3 - 11)*a\/2. Let u(l) = -l + 17. What are the prime factors of u(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 44\/7*j**2 + 484\/7*j + 4\/21*j**3 + 26. Find m, given that f(m) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = i - 31, -51*i = -49*i + 2*x + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 11, 30, 57?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202202110122 - 1200?\nAnswer: -202202112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 2, -14, -48, -106, -194, -318?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11528327700 to the nearest 1000000.\nAnswer: 11528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 199*k + 27. Let l be u(-2). Let t be 24\/(-14)*l\/1166. Which is the nearest to -1? (a) -1 (b) 7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = 5*x, -4*k - x - 10 = 2. Let y be (1 - -19)*(k + 4). Let d = -2 + y. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 12. Let n(d) = d + 1. Let j be n(2). Suppose j*o = 120 + 114. Suppose -27 = 81*x - o*x. Give a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 = 5*j, -8*d + 5*j + 5 = -3*d. Suppose -3*k + 2*k + 136 = 5*t, -8 = d*k. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26162*f**2 + 34920*f**2 + 23113*f**2.\nAnswer: 84195*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004139871533 to 6 dps.\nAnswer: 0.000414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3) + (-2 - -7). Let i(a) = o - 1 - 36*a + 0. Is 19 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7731 times -1.4?\nAnswer: 10823.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4212423 - 2?\nAnswer: 4212421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 17. Suppose -5*m = -8*m - 18. What is the smallest common multiple of 11 and b(m)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189388.\nAnswer: 2, 113, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 47*t**2\/2 - 9. Let q(x) = x. What is y(q(o))?\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.8 + -14.85. What is the closest to p in 2, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 2 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 4.9. Let u = -0.317 + 0.017. Which is the fourth smallest value? (a) -2\/5 (b) u (c) p (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110.3788 - 0.1788. Round m to 0 decimal places.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 + 7*h + 1. Let g be w(-3). Suppose -32*q + g*q = -280. What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 3. Let c(r) = -r**2 - 1. Let y(k) = 4*k**2 + k + 6. Let m(d) = 5*c(d) + y(d). Let b(o) = 2*m(o) - w(o). Determine b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1067*i - 2 + 291*i**2 - 533*i - 1583*i**2 - 535*i as d*i + l*i**2 + f and give l.\nAnswer: -1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12654\/14 + (-55)\/(-385)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-4)*1*5. Let j be (415 + w)*(-3)\/(-6). Let u = -118 + j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-10)*(2 + 3) + 7720\/193.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 80 = l. Let b(o) = -291*o - 48. Let i(t) = 194*t + 32. Let s(j) = l*b(j) + 8*i(j). What is the first derivative of s(h) wrt h?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -822271 not equal to -822272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93078, 93066, 93048, 93024, 92994, 92958, 92916?\n\"Answer: -3*r**2 - 3*r + 93084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - g**2 + 4*g**2 + (2*g**2 - 2*g**2 - 2*g**2)*(0 + 0 + 3)*(-3 - 3 + 1)*(-3 - 2 - 3).\nAnswer: -239*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 7*n**2 + 5*n - 1. Suppose 5*k + 4*s + 0*s - 26 = 0, -5*s + 26 = 3*k. Suppose 13 - 1 = k*z. Determine o(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3*(-77)\/(-462). Let x be 1 - (-1)\/((-4)\/7). What is the biggest value in z, x, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 11*y + 5 = 0. Let i be (y - -1) + 13*9. Let j = i + -62. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4580778.\nAnswer: 2, 3, 71, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 39 = -7. Let n = f - 12. Let l(g) be the second derivative of g**5\/20 - g**4\/3 + g**2\/2 - 2*g. Calculate l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opooppopoooopvohpvs. Give prob of picking 2 p.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6027282228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h + 26. What is k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172 a factor of 632281830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65.68 - 65. Let k = a - 1.08. What is the second biggest value in 1\/9, 0.4, k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - u + 9. Let y(d) = -d**3 + 5*d**2 - 2*d + 9. Let q(t) = -3*y(t) + 2*z(t). What are the prime factors of q(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.923342953 rounded to three decimal places?\nAnswer: -0.923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 27*a**5 + 478*a**4 - 17640*a**3 + 69930*a**2 + 343453*a - 107448 = 0.\nAnswer: -37, -3, 8\/27, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 3399554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 10480976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 759 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m**3 + m**2 + 7*m + 8. Calculate r(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -46, 2, 129 in decreasing order.\nAnswer: 129, 3, 2, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 - 4\/6. Let m = -18 + 20. Suppose -m*c - 12 = -6. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18607, 37149, 55679, 74197, 92703, 111197, 129679?\n\"Answer: -6*n**2 + 18560*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.03 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1182 + 1179. Which is the fourth biggest value? (a) 5 (b) -2 (c) q (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339 divided by 2023?\nAnswer: -1339\/2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 + 500*w**2 + 1014*w - 1512 = 0. Calculate w.\nAnswer: -3, 1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + -6 + (-5 - (-11 - -3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 331 divided by -103300\nAnswer: -331\/103300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3533 is divided by 2129?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37142460600 rounded to the nearest one million?\nAnswer: -37142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55738 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*w + 45 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 126, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let i(o) = -o**2 + 4*o + 1. Let c be i(2). Suppose 2*y + t - 16 = -3*t, -5*y + c*t = 20. Put -4, y, n in decreasing order.\nAnswer: n, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cucw. Give prob of sequence uw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:33 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 3, y: 1}. What is prob of sequence gpyg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-23)\/(-4))\/((-1)\/(-4)). Suppose 2*n - a - 6 = 5*w, -4*n + 2*w = -50. Suppose 4 = 4*c - n. What is the lowest common multiple of 7 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 6:32 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h + 1. Let j(w) = 6*w**3 - 7*w**2 + 3*w + 3. Let y(i) = -3*c(i) + j(i). Find the third derivative of y(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 856*z - 861*z + 102865 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7088*p + 7096*p - 56 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8110438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20, -4*a + 0*c + 40 = 4*c. Suppose 7*w - 9 = a. Find the third derivative of -24*y**3 - 32*y**w - 14*y**3 + 23*y**3 wrt y.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 12011 - 229. What is p rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-1 - 2*y + 1) + y - y + 4*y - 3*y + 2*y + 3*y)*(-y**2 - 3*y**2 + 2*y**2 + (2 - 3 - 2)*(5*y**2 - 4*y**2 + 3*y**2)).\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + 47\/4. Let r(q) = 28*q - 115. Let l be r(7). Suppose -91*p + l*p = 0. Solve p*m = 3*m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2928 or 2927?\nAnswer: 2928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7565*g - 732 = 7534*g + 43. What is the greatest common divisor of g and 13075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33512 to the nearest one hundred.\nAnswer: 33500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + 8 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240239 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2145 + -1405. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87470209 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - 4*2*sqrt(63) - sqrt(504)\/(sqrt(8)*-1))\/(sqrt(18)\/sqrt(2)*2 - (sqrt(9) + (2*sqrt(99) + sqrt(99))\/sqrt(11))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -238700 rounded to the nearest 1000?\nAnswer: -239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 3. Give b(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9036807?\nAnswer: 3, 13, 139, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)\/(q**2*q))\/(q**5\/(q**(-4\/5)*q)) assuming q is positive.\nAnswer: q**(-419\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = t, 0 = -2*h + 3*t + 13. Is (1 - (2 + 0))\/(h\/(-1655)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-3)\/21)\/(-1))\/((-1)\/(-86)). Let w = -487\/7 - -57. Let f = w + i. What is the second smallest value in f, 0, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19145 * -3.5\nAnswer: -67007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((68\/(-192))\/17)\/(27*20\/1620)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 359 * 5\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115111 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l + 11*l + 17*l**5 - 12*l wrt l.\nAnswer: 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6)\/((-4)\/((-13 - -5) + 6))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4299 (base 11) to base 5.\nAnswer: 140144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/7 - 28*n**3 + 528*n**2\/7 + 194*n\/7 - 528\/7 = 0. Calculate n.\nAnswer: -11, -1, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -32. Let t = x - -22.6. Let p = 6\/67 - -7\/670. Which is the closest to 1? (a) 2\/7 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 + 11*h + 41. Suppose -16*f - 17*f = -462. Let k be p(f). Which is the smallest value? (a) 3\/7 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 27 = -2*f. Let x = f + -9. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 298*w + 614. Let j(q) = -54*q - 123. Calculate 2*g(v) + 11*j(v).\nAnswer: 2*v - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2)\/(4\/(-5)). Suppose -q - g*r - 8 = 0, -q + 2*q + r = 0. Which is the biggest value? (a) 1 (b) 5 (c) -6\/5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*a + 150346. Let n be a\/10896 + -11 + 12. Let h = 16\/227 + n. Find the common denominator of -97\/42 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4585*r**3*u**2 - 2*r**3*u + 1013*r*u**2 - 6042311*r*u wrt u?\nAnswer: 9170*r**3 + 2026*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3536 less than -3513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*y + 2*y - 19079, 0 = -v - 4*y + 19094. What are the prime factors of v\/98 - ((-5)\/(-7) + -1)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -1675, -3719, -6567, -10219, -14675?\nAnswer: -19935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001968 to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-5*b**2 + 5*b**2 + 15*b**3) + (0*b - 3*b + b)*(2*b**2 + 6*b**2 - b**2).\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3271318 or 3271608?\nAnswer: 3271608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 1192 - 568. Suppose -l = -2*g - g + 5*j, 0 = -4*g + j + 175. What is the lowest common multiple of g and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 21 + -22 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50598.822 rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 3. Let p(u) = -u**2 + 10*u - 3. Let h be p(10). Let i(b) = 1. Calculate h*i(v) - r(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/30)\/(6\/(-15)). Suppose 2*y = -2*y - 8. Let g be 3 + (y - (2 + -3)). Put g, -6, i in increasing order.\nAnswer: -6, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q**2 + 5*q**2 + 0*q**2 - 4*q**2 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7*a = -2*a + 16, 11 = 2*j - 3*a. Suppose 7 - j = f. Suppose -f*v = -8*v. Let m(p) = -p + 9. Calculate m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyty when four letters picked without replacement from yyyt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + -5*38\/(-280). Which is the fourth smallest value? (a) w (b) -3\/7 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1709165 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s + 2*s**2 + 2*s)*(-3 - 3 - 4 + (-2 + 0 + 1)*(1 + 1 + 1)).\nAnswer: -13*s**2 - 39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -2385?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o - 405. Let w be p(45). Is -10\/29 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a factor of 41546343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 8) to base 7\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003881 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from {t: 2, n: 3, r: 3, m: 1, u: 2, h: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4 - 4*z**2 + 5*z + 1 - z**3 + 1 + 0*z. Determine b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-22)*(5 - 5). Solve 5*n - b + 8 = o, -3*n + 5*n - 3*b = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2772 - -2775. Solve -2*v + 19 = -5*n, -4*v + 5*n = j*n + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563750657 to the power of 1\/4, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 701815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64 - -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 14*g**2 - 35*g + 17. Let l be r(6). Suppose -105*p + l*p = -60. Calculate the highest common divisor of 15 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 53. Let k be 2\/8 + 1689\/28. Let v = k + z. What is the second biggest value in -2\/9, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028\/10 + (-18)\/(-15).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429294*z + 429282*z - 204 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 2*o**2 - o + 2. Let l = 2027 + -2026. Let j(z) = -1. Give l*k(t) + 2*j(t).\nAnswer: -3*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let l(f) be the third derivative of -81*f**5\/20 + 125*f**2. Give l(t(c)).\nAnswer: -243*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22191966871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/127534 and -21\/41140.\nAnswer: 1275340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 15, -196359?\nAnswer: -196359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 = -21. Solve -i = 4*s + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/48 + (-10)\/6. Put 0, 5, -432, g in increasing order.\nAnswer: -432, g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.072 - -0.072064. What is a rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 5*l**2 - 3*l. Let m(t) = -6*t - 9*t**2 + 13*t**2 - 2*t**3 + 3*t. What is -5*m(a) + 4*x(a)?\nAnswer: 2*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35072 (base 12) to base 4.\nAnswer: 101110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -817, -798, -779, -760?\n\"Answer: 19*b - 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6332\/70)\/((-16)\/20). Let u = 113 + m. Is -1 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052133 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.99999988 + -47. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 937 - 32797\/35. Are s and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 13\/625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 5*y - 3*y**4 + (6 - 4 + 1)*(30*y**4 - 993*y + 993*y) in the form f + z*y + x*y**4 + w*y**3 + b*y**2 and give x.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 13\/3, -3 in ascending order.\nAnswer: -3, 1.5, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2033*q**3 - 1088*q**2 + 160*q. Let i(s) = -1355*s**3 + 725*s**2 - 106*s. Let f(l) = -8*i(l) - 5*p(l). Suppose f(y) = 0. What is y?\nAnswer: 0, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2 + 640*z - 213792 = 0.\nAnswer: -524, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 1\/4 (c) 2 (d) 1\/6 (e) -0.02 (f) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 257*b - 21453. Give d(84).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 4*t - 9*t. Suppose -4*p + 52 = 4*j, -5*p + 0*j - 4*j + t = 0. Suppose 0 = -0*u + 3*u - p. Solve -u*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**0)\/y*y)**(-11)*y\/(y\/(y*y\/(y**4\/y)*y))*y**(-1)\/y)**(-47) assuming y is positive.\nAnswer: y**611","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 72122.94s?\nAnswer: 20.03415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-10))**(-5))**(-9))**(2\/5) assuming x is positive.\nAnswer: x**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60323, 60325, 60327?\n\"Answer: 2*x + 60321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/6760241 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18\/5))**(-43)*t**38*t*t*t*t**(-1\/2)*t assuming t is positive.\nAnswer: t**(1963\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7469\/8 less than or equal to 934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (32 - -7) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/7 and -13\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2680*z - 2683*z + 5 = -0*g - 2, 1 = z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 + 14*q**2 + 6*q**2 + 16*q**2 + 2.\nAnswer: 9*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1564*c + 774*c + 22*c**3 + 782*c as f + r*c**3 + k*c**2 + l*c and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56.00387 - -56. Round k to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 7dc183?\nAnswer: -7dc182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1319\/2 or -38045\/2?\nAnswer: 1319\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42 and -3386.\nAnswer: -1422.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122534210?\nAnswer: 2, 5, 101, 121321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o + 4*p + 140, -o - 60 = -4*p. Suppose d + 4*k + 11 = 2*k, -5*d - k = 28. What is the remainder when (-4)\/(o\/(-18))*d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 44*y - 561. Calculate b(30).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m - 2. Let n be g(7). Let j = 0.2 + 0.3. Which is the second biggest value? (a) j (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(112\/(-21)))\/(3*3\/150)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277830 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.9 + -15.865. Round l to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241824 divided by -5496\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:07 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*y - 3*h, 2*y - h = 4*y - 36. Let j = y + -7. What is the greatest common factor of j and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*s + 7 = 0, 0*g - 18 = -3*g - 4*s. Determine o so that 5075*o + 5*o**3 + 12 - 2 + 20*o**g - 5050*o = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 126*n**3 + 2*n**2 + n. Suppose -13*z + 24*z + 33 = -22*z. Calculate c(z).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1\/392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-774)\/(-3612) + (813\/126 - -3).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppypvppiipycpp. Give prob of sequence yy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -963, -1866, -2709, -3492?\n\"Answer: 30*i**2 - 993*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-55)*(-6 - -1). What is the tens digit of 3 + 18805\/25 + d\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36 - -2*3*160\/(-192). Suppose 11*s + r = 240. Solve s = 4*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 6. Suppose s + 4 = -f, m*s - 44 = 5*f + 3*s. What is the common denominator of (-20)\/(-3)*(-1)\/f and 59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 447, 18, -3425, 1.\nAnswer: -3425, 1, 18, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 619272420 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-494)\/(-114) + (-4)\/(-6). Solve 9*p - 4 - k = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.9 + 66. Let r = 22 - d. What is the nearest to r in -0.3, 4, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -306\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8*t - 3*t - 351, 3*t - 223 = -5*x. Suppose t = -f + 304. What are the prime factors of f?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (13 + -36 + 7)) + -63 + -1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*z - 163325, -750*w + 12 = -748*w. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/60 + g**4\/24 - 5*g**3\/6 + g**2. Let t be l(0). What is the units digit of t\/(-2)*(-90)\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*c + 0 = -15, 5*u + c - 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107\/6 - -92\/3. What is the common denominator of j and 49\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16726*k + 1433*k**3 - 78327*k - 1436*k**3.\nAnswer: -3*k**3 - 61601*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -7\/2*g**2 - 223 + 4\/5*g**5 + 10*g**4 + 7*g + 0*g**3. Find the second derivative of s(f) wrt f.\nAnswer: 48*f**2 + 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 101*r - 3. Let x(b) = -13635*b + 404. Give 404*o(i) + 3*x(i).\nAnswer: -101*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 35*i**3 - i + 34*i**3 - 4*i - 3*i**2. Is 20 a factor of h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -82, -115, -148, -181, -214?\n\"Answer: -33*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 45\nAnswer: -23\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-2 - -4)) + 1 - -4. What is the third derivative of -128*n**3 + 36*n**j + 62*n**2 - 47*n**2 wrt n?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 290*q - 4643. Let c be r(-17). Sort 3, 13880, c in decreasing order.\nAnswer: 13880, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -142, -290, -438?\n\"Answer: -148*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s + 2. Does 7 divide 21\/(-3 - s - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(729))\/(4*sqrt(192)\/sqrt(4)).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.952718 millilitres in litres?\nAnswer: 0.003952718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.56423014989712 + 0.07.\nAnswer: -1.49423014989712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129754 divided by -3?\nAnswer: -4129754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + -2 + sqrt(112)*-1 + -2 + 2)**2 + -5.\nAnswer: 56*sqrt(7) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 38. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20285151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23206*y**3 - 24526*y**3 - 283 - 331 wrt y.\nAnswer: -3960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -0.05533, 1\/5, 4\/3, -2, 0.4, -11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/((-2)\/36). Suppose -34 = -2*h + 5*l, -5*l + 8 = -2*h + g*h. Let w(t) = -t**2 + 8*t - 5. Give w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571965.0494 rounded to the nearest 10000?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 3 = -3*f - 5*d, 0 = -4*f - 2*d + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 10884620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa (base 11) to base 13.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k + 39. Suppose -138*c + 2447 = -7213. Calculate the remainder when c is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1504997418351748416829\/6248 - 240876668041100631. Let d = v - -571230531. Let n = d + -1\/781. What is the common denominator of 1\/12 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216 or 0.064?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 61.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*q - 1263 = 0, -3*q - 258 = -l - 8*q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 + 61*l - 426 + 221.\nAnswer: 61*l + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-16)\/(-6))*-9. Suppose 5962 - 1195 = u*m. Let f = m - 6269\/4. Calculate the common denominator of f and 1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Let g(v) = v**3 - v**2 - v - 4. Let f be g(0). Let z be (0 - -2)*f\/(-60). Which is the smallest value? (a) d (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 10*t + 230. Let j(c) = 9*c + 5. Let r(w) = 18*w + 11. Let o(y) = 9*j(y) - 4*r(y). Give o(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*p**3 + 2*d**2*p**2 - 3*d*p**3*t - 6*d*q - 12*p**3*q*t - p**2*q - 7*p**2*t - 4*p*t wrt p?\nAnswer: -12*d**2 - 18*d*t - 72*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 + -1873\/6. Let z = -1.06 + 0.06. What is the smallest value in 1, -4, z, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - 2*x**4 + 0*x**4)*(-3 + 0 + 4) + (3*x**2 - 3*x**2 + x**2)*(11*x**2 + 95*x - 95*x) - 3*x**4 - x**4 + 3*x**4.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1 = 2*a, 9*x = 4*a + 4*x + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o**2 + 106*o**2 - 2*o**3 + 975*o + 346 + 7*o**3 + 499 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -19. Let g = l + -4. Let b be 99\/(-154) - (-1)\/g. What is the third smallest value in b, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (14 - (-4 + 11)) - (0 + 3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -41, 2476, 4, 20, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*m = -12, -v - 3*m - 12 = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-65)\/(-26))\/(2\/(-4)). List the prime factors of 2\/w + (-456)\/(-15).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 0*b + 18*b)*(-7 - 11 + 8) to the form a*b + f and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2571?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 9. Let s(l) = -2. Let j = 2506 + -2504. What is j*m(t) - 11*s(t)?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 11*i + 159. Let u be x(13). Calculate the remainder when (-17)\/(4 + u\/38) is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 215*d**2 - 194*d**2 + 4*d**3 - 30*d - 28 - 11*d**3 + 6*d**3. Let c(u) = -2*u**3 - 3*u**2 + 3*u + 1. Let t be c(-3). What is the tens digit of z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o**2 - 4*o. Let g(d) = -95566*d + 8*d**2 - 25*d**2 + 95571*d. Let r(a) = a**3 + 40*a**2 + a + 35. Let q be r(-40). Give q*n(h) - 4*g(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -485\/27 (b) 0.1 (c) 2\/9 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -15*r**2 - 3102*r + 621 = 0?\nAnswer: -207, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 224790263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*q**3 + 1\/3*q**2 - 1\/2*q + 0 - 1\/3*q**4 = 0 for q.\nAnswer: -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.2 - 8. Let h = w + 0.5. Sort 1, -4\/5, h in descending order.\nAnswer: 1, h, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 4332020?\nAnswer: 4332026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**3 - 7*i**2 + 5*i - 7. Let j be 2*(-1)\/1 + 13. Let d(u) = -5*u + j + u**3 - 12*u**3 + 11*u**2 - 3*u. Determine -5*d(h) - 8*y(h).\nAnswer: -h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03654 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 4*u + u)*(-4*u**4 + 4*u**4 - 2*u**4) - 4*u**5 + 2*u**5 - 5*u**5.\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z + z - 27 = 0, -5*z + 150 = 5*m. Let s = m + 32. Let n = s + -1. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 61*y - 5. Let q be p(-3). Is (3 - (-39)\/(-12))*q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 89*d - 1787. Give w(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12248326*i**2 + 4049808*i - 2.\nAnswer: 24496652","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016968 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*4\/24*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 16. Let b be 1\/c*(-1 - -3). Let a be 7\/1 - (-2 + b). Solve -3*l + 0*l = -2*d - a, 2*d + 4*l - 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9508 - 57049\/6. What is the nearest to 0.02 in -0.2, -9\/14, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 - 7.1. Let r = 0.0538 + -0.3538. What is the smallest value in f, -1\/2, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*k. Suppose k*d - 32 = 4*o + 6, -3*d = -4*o - 59. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-24 + 1 - -5) - 4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Suppose -u*k = -4*k + 2. Let m be -3 - -3 - (-3 - k). Solve -5*a + m = -11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 67*a + 1. Let g(i) = i**3 + 3*i**2 - 3. Let n be g(-3). Let w be l(n). What is w rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 12. Solve 2*z + h = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -131*b - 776. Determine i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, 4*c - 3*d - 840 = c. What is the highest common factor of 1000 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:40 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m + 80. Let c be h(4). Put 0, -5, c, 5 in increasing order.\nAnswer: c, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -248193a5 - -3?\nAnswer: -248193a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m + m + (0 - 3 + 1)*(3*m - 5*m + m))*(-3*m**2 - 2*m**2 + 3*m**2) + (-1 - m**2 + 1)*(2*m - m + 0*m) + (12 - 3 + 10)*(-m**3 - 1 + 1).\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268)*-1 + 0 - (sqrt(2268) + (sqrt(2268) - (0 + sqrt(2268) - sqrt(2268))) + 3)) + 1 + -2*sqrt(2268)*2 + -5)**2.\nAnswer: 1764*sqrt(7) + 111181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704 = -69*f + 1228 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5\/83927, -3\/34 in decreasing order.\nAnswer: 0.4, 5\/83927, -3\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39b91b (base 12) to base 6\nAnswer: 32234035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 = 47. Let g be (24\/(-27))\/4 - 2690\/45. Let t = 79 + g. Calculate the remainder when h is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkskshhhhkkshshkkhh. Give prob of sequence sskk.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 2, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let g(c) = -21*c**2 + 2. Let l(k) = -83*k**2 + 9. Let p be 1*(0 + 9\/(-1)). Let q(v) = p*g(v) + 2*l(v). Give u(q(t)).\nAnswer: -529*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12144 + 12147. Put -1\/153, -0.5, 5, m in ascending order.\nAnswer: -0.5, -1\/153, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 5*k + 4*k - 11*k - 19*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(612) + -2 + -1*sqrt(612)*-1 + -3 + -2)**2*4.\nAnswer: -384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3061, 5311, 7561, 9811?\n\"Answer: 2250*j + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 552 and 1840?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76323 and 1917654?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 0.5, -8987158?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 6*g**2 - 7*g. Let b be u(7). Suppose b = -7*z + 10*z + 6. Let v be 2 + -4 + 148 + z. What is the highest common factor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 368206.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/7)\/f)\/f)\/(f**(-6)*f))\/(f**1)**44 assuming f is positive.\nAnswer: f**(-289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*p - 4*p**2 + 756*p - 61*p - 64*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 3840*n + 737280.\nAnswer: 5*(n - 384)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 283232557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 5002. Let a(f) = -f**2. Calculate a(v(m)).\nAnswer: -4*m**2 + 20008*m - 25020004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {b: 6, j: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a4 + -10063?\nAnswer: -12857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -7. Let t(s) = s**3 + 10*s**2 + 7*s. Let q be t(-8). Let a = -40 + q. Calculate the remainder when a is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2\/2 + 6*u - 78. Suppose 5*s = 2*o - 14, -3*s - 20 = -s + 4*o. Let b = s - -10. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 650, 2221, 5222, 10115?\n\"Answer: 77*b**3 + 22*b**2 - 2*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + h**2 - 2*h - 7. What is o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -261433083.\nAnswer: -784299249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -78, -131, -184, -237, -290?\n\"Answer: -53*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + -90594786.\nAnswer: -90594861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 117*p - 31. Let f(d) = -d**2 + 119*d + 21. Determine 2*a(n) + 3*f(n).\nAnswer: n**2 + 123*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 = -1, -3*p - 4*j = -2477. Let z = 3497 + p. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (11 + -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:27 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3740 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhhbhbhhhhh. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169740 and 277857?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -14, -28, -44?\n\"Answer: -o**2 - 9*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 1, g: 6, v: 4}. Give prob of sequence tvgv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/13)\/b**(3\/4)*((b*b\/(b**1\/b)*b)\/b)**11*(b**(4\/5)\/b*b**(-1\/5))\/(b**(1\/6)*b**(2\/13)) assuming b is positive.\nAnswer: b**(15893\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 4. Let k(r) = -9*r + 17. Let t be k(2). Let x = -54 + 56. What is the nearest to x in t, -5, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -123, -433, -985, -1809, -2935, -4393?\n\"Answer: -5*r**3 - 91*r**2 - 2*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71.89 + -71.81. What is the biggest value in 0.17, -2, 0, x, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*75\/((-2250)\/(-60)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/4 + 3401*g\/4 = 0.\nAnswer: 0, 3401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-2)*(-1)\/(-3). Let h(b) = 21*b + 6 + 37 + 39 + 87 + 0. Let u be h(-8). Solve -p - 4*x - u = -14, -i*p + 18 = 5*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 346, 450, 606, 820?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -18. Which is the smallest value? (a) -31 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose -2*v = -0*v - 6. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 6:54 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 + 953*n**4\/2 - 753357*n**3\/4 + 21036915*n**2 + 45684783*n - 321339960 = 0 for n.\nAnswer: -5, 3, 246, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3636 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*w + d, -5*d + 27 = -3*w - 0*w. Let z = 45526\/7 + -6504. Which is the nearest to z? (a) -1\/3 (b) 1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g. Suppose 2*f = 4*f - 2. Let l be ((-4)\/(-8))\/(f\/(-2)). Determine v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 45. Let m = 28 + u. Find b such that -9*b**2 - 3*b - m + 8*b + 10*b + 0 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h - 45. Let y be m(-4). Let q(x) = x**2 + 6*x - 47. Calculate the remainder when 87 is divided by q(y).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31655*m**5 + 13*m**4 + m**2 + 693111*m?\nAnswer: -633100*m**3 + 156*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1192*t + 1473. Let x be q(-4). Which is bigger: x or -3296?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*s + 51727 = -2*x, -s - 2 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -36. What is the remainder when 38 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229401 = -3*v + 2*j, -v + 152939 = v - 3*j. Let y be -1*4 + v\/(-40). Let s = -1918 - y. What is the common denominator of -61\/4 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 5 + -6 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 281130881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(-1*14\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:50 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 23*o - o**2 + 6*o**2 - 3*o**2.\nAnswer: 3*o**2 - 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1328, 476, 3\/2, 0, 1\/6 in ascending order.\nAnswer: -1328, 0, 1\/6, 3\/2, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1054 = 3*y - 716, 0 = -5*i. Calculate the common denominator of -3 + 4855\/y - 5 and -113\/10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 35*z**2 - 132*z - 108. Give b(15).\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286.54 rounded to the nearest 10?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 503358?\nAnswer: 503350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 3. Suppose m*y = 4 - 1. Suppose 198 = 4*q + 5*d, 3*d + 42 = q + y. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -5254.03.\nAnswer: -5240.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27056, 26133, 25218, 24317, 23436, 22581, 21758, 20973?\nAnswer: 20232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 518704966 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.31, -2, -2\/9, -5, 4\/7, 1746?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from aqcqqcqcqqcqqccqq.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1774.151 - -1773.7209737. Let h = u - -0.43. Round h to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1.1, 4\/3, -4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59825 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/42)\/((-23)\/(-1104)). Let w be 1\/3 - 28\/(-6). Solve 0 = w*g - 2*c + b, 1 = g + g - 5*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 42273?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/60 and 53\/358?\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.22 - 1.32. Let i = -2\/49 + 108\/245. Which is the nearest to s? (a) 0 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93246 is divided by 818.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 - 1 + 1 + 0 - 2 + (-1 - 3 + 3)*(4 + 0 - 2) + 0 - 1 - 1 + 1 - 4 + 4)*(2 + 0 - 3) + 28 + 21 + 28)*(0*z + z - 5*z) to s + l*z and give l.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 1094284.\nAnswer: 64562756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 10*d + 2. Let s be b(-5). What is the highest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**3 + 28*w**2 - 913*w wrt w.\nAnswer: 24*w + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from ruwrrrrhwuuuuurwu.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + 39 + -1 + 3 + 1 - 8) + 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2711636425 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 2341*h\/5.\nAnswer: -h*(h - 2341)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from hdhdddhddd?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7351, 6, 187 in increasing order.\nAnswer: 6, 187, 7351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1817*l + 96298. What is i(-53)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**5 - 6*n**4 + 6*n**4 - 2*n**2)*(-3 + 6 - 1)*(-1 + 3 - 1).\nAnswer: -12*n**5 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*b - 246 = 0, 11*f + 177 = 14*f + 3*b. Solve 52*r - 12 = f*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6772348 divided by 4\nAnswer: -1693087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 11114187\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/100*5*15. Suppose -r*o + 2*o = -q + 34, 5*q - 3*o = 170. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.09.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/330*-247 + 3. Let k = u - -299\/165. Let l = 3582 + -3581. Are k and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-8)\/(-10) - ((-915)\/45)\/((-155)\/(-1023)))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11455 + -11460. Let t = 0.3 + -1.3. Let r = t + 1. What is the closest to r in p, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 311877 and 69306?\nAnswer: 623754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 863 + -857. Let n(i) be the third derivative of 8*i**2 + 0*i**3 + 1\/15*i**5 + 0 + 0*i - 1\/30*i**b + 0*i**4. What is the third derivative of n(l) wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88862.760991 and -2402.\nAnswer: -91264.760991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -3 (c) -3\/10 (d) -185 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9850 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*n = -3*h - 20, -25 = 5*n + 4*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 - 133.7. Let q = 1.7 + 0.3. What is the third smallest value in d, -2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10138 is divided by (-2*(-33)\/(-77))\/((-2)\/126) - 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + 62\/48)\/(1026\/(-36)) and -53\/1026.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -57\/25 and 0.039266 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 + 8. Let d = 4 + h. Sort -5, d, 4.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*a**3*g*w**3 + 5*a**3*g - 2*a**2*w**3 - 18*a*g*w**3 - 2*g*w + 2*w**3 wrt a?\nAnswer: 270*g*w**3 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**3)**(5\/12))**(-26))**32)**(-19) assuming l is positive.\nAnswer: l**19760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(2 - 48*z**4 + 0*z**3 + 51*z**4 + 5*z**3).\nAnswer: -3*z**5 - 5*z**4 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 325130129069.2.\nAnswer: 325130129069.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:24 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:05 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(475) - -2*2*sqrt(475)) + (sqrt(475) - (-1*(sqrt(475) + 1))**2))*5*-4.\nAnswer: -2000*sqrt(19) + 47600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1030432, 2060866, 3091300, 4121734, 5152168, 6182602?\n\"Answer: 1030434*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-14))\/((-96)\/(-224)))\/((-7)\/(-1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77584\/360412 + (-18)\/2151.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 23*y + 56. Let t be n(25). Solve 6 = 2*o + v, -t = -2*o + 5*v - v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 27 (b) 4 (c) -1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 y when four letters picked without replacement from ysyymysyyii?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-460)\/(-8))\/5*824\/18952*(-8)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260009 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 880 and 38456.\nAnswer: 384560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63729, 127367, 190937, 254439, 317873, 381239, 444537?\nAnswer: 507767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = -0*a. Solve -x + a = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w - w + 4*w**2)*(73 - 556 - 85 - 68).\nAnswer: -1272*w**2 + 1272*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -59, -3?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(((-1584)\/(-270))\/(-22))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36416, -36126, -35642, -34964?\n\"Answer: 97*b**2 - b - 36512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*n**3 + 569*n**3 - 289*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = i - 709 + 97, 2910 = 5*i + 5*w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119580?\nAnswer: 2, 3, 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 242 = -18*o. Let p(m) = -119*m**2 - 20*m + 20*m + o*m**2. Let u(j) = 194*j**2. Calculate u(p(q)).\nAnswer: 776*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 6. Let g = 5 - 13. Calculate the remainder when 0 - (-18)\/3*1 is divided by r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2094.1 - -2094. Which is the smallest value? (a) 1.1 (b) 5 (c) p (d) -3\/4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034295007 to the power of 1\/2, to the nearest integer?\nAnswer: 45103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 471666 to the power of 1\/2, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 68. Let y = z - -181. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(32\/(-36))*-30. Let n = -80 - o. Suppose 0*g + g - n = 0. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 83. What is the derivative of 17 - 96*p + 12 - h*p + 206*p wrt p?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbbdnddbwssffd. What is prob of picking 1 n, 1 s, and 1 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 l when four letters picked without replacement from {i: 6, l: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 4 + 285\/(-75). Let f = 46 - 16. Let l be (1\/3)\/((f\/(-4))\/5). What is the closest to 0.02 in h, -0.3, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 108950631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1100258 and -1100252 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 + -2)) + (48 - 35 - 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 600.4057 microseconds?\nAnswer: 0.0006004057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.62 + -0.6. Let q = -0.22 + c. Let j = -0.1 - q. What is the third biggest value in j, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = n - x, -3 = -3*x. Which is the closest to 0.3? (a) n (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3542758 and 1636?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1817 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 + -162. Solve 2*b - l = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*b**2 + 35*b**2 + 37*b**2 + 46*b**2 + 34*b**2 - 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 64c3992?\nAnswer: 64c3990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -538 and -3?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1462 and -307462.20887?\nAnswer: 308924.20887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*d = 15, 0 = y + 3*d - 0*d + 9. Let v(a) = 3*a - y*a - 5*a. Let q(l) = -2*l**2. What is q(v(m))?\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**3 - 66*h**2 - 9*h + 54.\nAnswer: 3*(h - 3)*(h - 1)*(7*h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874967746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 0.2, 1\/6, 98, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15939899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 372*k + 20*k**3 + 239 + 154 - 497 - 288*k**2.\nAnswer: 4*(k - 13)*(k - 1)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.676612 + -179.57.\nAnswer: -178.893388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 273736?\nAnswer: -5\/273736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 6519*b**2 + 606159*b + 14192825.\nAnswer: (b + 47)**2*(b + 6425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/254 and -50\/37?\nAnswer: 9398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-48)*202\/3 and (-14 - -1) + (-14)\/((-5796)\/4947).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 40*p**3 - 128*p**2 - 128*p.\nAnswer: -4*p*(p + 2)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqq when three letters picked without replacement from wqqwswwsl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.3, -6, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (2 - (0 - -2)) - (468 - 456)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238030 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 1*sqrt(108)\/sqrt(4) + sqrt(27))\/(sqrt(45)\/(sqrt(5) + sqrt(80))).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/572 (b) 2 (c) 2\/27 (d) -3\/4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 8*h = -2. Let g be (-36)\/(-30)*h\/2. Put -0.3, -0.2, g in ascending order.\nAnswer: g, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(10\/9)\/((l**6*l)\/(l\/(l\/((l*l*l**4)\/l)))))\/(l\/(l\/l**(1\/10))*l*l**(-2\/9)*l**(-2\/9)*l*l**8) assuming l is positive.\nAnswer: l**(-383\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-15) + (-6)\/15. Let m = w + -1. Let p be (-4)\/(-12) - m\/(-9). Solve 2*u - 3*u - 2*z + 10 = p, u - 6 = -z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43.99952 - -44. What is b rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -3*s - s. What is the greatest common factor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -1) + 16 + -32 + 5 + (1 - -11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170429.\nAnswer: 271, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*r + 11*r. What is the second derivative of -2*n**3 + 5*n + 0*n + r*n**3 + 5*n**3 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.3 (c) -3 (d) -4\/1497 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031831929 to seven decimal places.\nAnswer: -0.0031832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*j + (-3*j - 3*j + 4*j)*(5 - 4 + 1) + j - 3*j + 0*j + (2*j + 0*j - 4*j)*(-8 + 16 + 7).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33453 (base 11) to base 2.\nAnswer: 1011110101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -33 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -92, -4, 8\/9, 1\/16 in descending order.\nAnswer: 8\/9, 1\/16, -4, -8, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + r + 95. Determine s(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53.46 - 9.24. Let b = 57.911 + 0.089. Let g = a + b. Round g to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -254, -288, -344, -428, -546, -704?\n\"Answer: -j**3 - 5*j**2 - 12*j - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8169211159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let x = 105 + -104.8. What is the third biggest value in -4, x, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 30*n**3 - 269*n**2 - 934*n - 264. Let r(i) = 7*i**3 - 70*i**2 - 233*i - 66. Let m(x) = -2*k(x) + 9*r(x). Factor m(l).\nAnswer: (l - 33)*(l + 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*i - 11 = 0, -i + 616 = 61*t + 432 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1770996*s*t - 4775791*s with respect to t.\nAnswer: -1770996*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/30 - r**4\/6 + r**3\/6 + 8*r**2. Let b(j) = 0*j + 2*j + 2*j - 3*j. Give -2*b(h) - m(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1571 or -1\/14?\nAnswer: -0.1571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106.05 + 111. Let k = -4.950273 + x. Round k to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6834349, 5, -23.\nAnswer: -23, 5, 6834349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -7. Suppose k = -t*k - 3*m + 27, 3*m = -3*k + 24. What is the remainder when 155\/3 - (-4)\/k is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3873519 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*(sqrt(242) - sqrt(242)*-1*-3) + -3 + (sqrt(288) - sqrt(288)*-2) + sqrt(288) + sqrt(2) + sqrt(6)\/(sqrt(3) + sqrt(48))))**2.\nAnswer: -17280*sqrt(2) + 663777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -0.09, -1\/7, -0.2 in descending order.\nAnswer: 4, 2, -0.09, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -4. Suppose -i*c - 6 = 4*n - 2*n, n = -2*c - 2. Let f = -5 - -5. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1018\/7 + -145. Let t = 102 - 102.5. What is the nearest to t in -2\/9, 3, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - r**2 - 2*r + 51. What are the prime factors of l(0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 2*u**5 + 0*u**5 + 0*u + u**5 + 0*u + (-2*u**2 + 0*u**2 + 0*u**2)*(2*u**3 - 8*u**3 + 3*u**3) + (-24*u - 36*u + 31*u)*(-4*u**4 + u**4 + 2*u**4).\nAnswer: 39*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020100 (base 3) to base 8.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/2155 + 2137\/6465. Which is the closest to h? (a) 0.4 (b) 2 (c) -24 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 388. Determine n(9).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -98809 (base 11) in base 6?\nAnswer: -3023510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/8 + 915*w**4\/2 - 28257*w**3 + 209553*w**2\/4 + 1115541*w\/8 - 656127\/4 = 0. What is w?\nAnswer: -1279, -2, 1, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -15, 10*c = -4*q + 7*c + 231. Let g = q - 32. What is the remainder when 98 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 13*s - 2. Let y be h(-12). Suppose 2*r - y = 3*k + 9, -2*r = 5*k - 11. What is the smallest common multiple of (r\/16)\/((-1)\/(-24)) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvdl when four letters picked without replacement from kvkrkdrlvrr?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 6) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(-27*12\/(-3402))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/4 - 3*l. Let u(i) be the third derivative of i**4\/24 - 2*i**2. Calculate u(h(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + 0 + (5*(sqrt(76) + 2 + sqrt(76)) - (sqrt(76)*1 + 2))*2)**2.\nAnswer: 1224*sqrt(19) + 24909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2608, -5241, -7866, -10471, -13044, -15573, -18046?\nAnswer: -20451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2448958921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 40003014240?\nAnswer: -40003014300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 g when three letters picked without replacement from buuuugmibu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 10 + 20. Let w(v) = -v**3 - 4*v**2 + v - 1. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2301*c - 5747*c**4 - 6514*c**4 - 1965*c**2 + 2301*c wrt c.\nAnswer: -294264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 69738*t - 69737.\nAnswer: -(t - 69737)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*(-51)\/170*-10 + 140156 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 - 321. Let w = 517\/18 - 21017\/90. Let m = w - f. Which is the third biggest value? (a) -0.3 (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03469 and 24.476561?\nAnswer: 24.511251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - u + 2*u, t + 3*u = 0. Suppose y = -1 - t. Let c = 5 - y. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1535*c*y**3 - 2*c*y**2 - 3*c*y + 1599*y**3 + y - 644717 wrt y?\nAnswer: -9210*c*y - 4*c + 9594*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -20. Calculate the least common multiple of 2 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00192853 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**2\/2 + 4*f + 116. Determine d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-23 + 20 - (-2 - -6 - 4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/36388 and -103\/248.\nAnswer: 2256056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*i**2 - 7*i + 290 wrt i?\nAnswer: -12*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 2556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times 20\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16221.82 and -2.\nAnswer: -16223.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -6.2?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 1. Let m be u(1). Let v be -4*5\/20*m. Let t be v\/(-4) + (-6)\/(-24)*26. Are -0.01 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 8:07 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6275079037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(18) + -2)**2.\nAnswer: -12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/7 (b) 0.08 (c) -0.3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (77*m**3 - 104*m**3 + 50*m**3 - 2*m**2)*(m + 2*m - 4*m) as z*m + u + i*m**3 + h*m**2 + w*m**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + 117 - (15 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1364 and 63\/176.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(6\/(-79346)) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 77045*r - 231008. Determine o(3).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 367*r - 3. Let j(h) = -1074*h + 9. Determine 8*g(i) + 3*j(i).\nAnswer: -286*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1190621.\nAnswer: -1\/1190621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11.5 (b) -105\/2 (c) -3\/7 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 2*i - 26310 + 26418 = 0, -3*x - 3 = 5*i for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwmmmmwwmmmmmw. What is prob of sequence mmw?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h - 114. Let l = 911\/8 + h. What is the closest to -1\/4 in 2, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13008 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1785)\/25*(-3900)\/(-6318) + (-2)\/(-27)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4355 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6670*s + 259882. Determine x(-39).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13 + u**2 + 13. What is the units digit of v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*j - 65. Suppose -4*u + j*u - 336 = -y, -20 = 5*y. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2710 + 298 = -67*m. Calculate the highest common divisor of 1332 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.38 - 1.38. Put m, 4, -3, 13 in descending order.\nAnswer: 13, 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -445456.77.\nAnswer: 445469.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2269.13632731 + -2549.1363286. Let g = y + 280. Round g to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, -1\/9, -18, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-100)*5 - ((-2472)\/460 - -5). Which is the third biggest value? (a) -44 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13060143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 48681?\nAnswer: 48681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -49. Suppose 5*f + 3*o - 13 = 0, -3*f = -6*f - 3*o + n. Find the common denominator of -56\/33 and ((-590)\/42)\/f - (-3 + 0).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62863 (base 10) to base 7.\nAnswer: 351163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 + 152*d**2 + 908*d + 1240 = 0.\nAnswer: -31, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 727\/730 - 80\/73. Which is the nearest to 0.1? (a) -1 (b) r (c) 5 (d) -1\/590\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-84) - 2\/(-7). Suppose -3*n - 40 = 2*z + 2*n, -5*z + 3*n = 69. Let a be 4\/8*4\/24*z. Sort b, a, 5, 1 in decreasing order.\nAnswer: 5, 1, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.75 - -0.75. Let z = 2969 - 2966. Which is the fourth biggest value? (a) -67 (b) z (c) 4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*s + 24, -4*j + 8*s - 4*s + 176 = 0. Let l(q) = -q**2 + 13*q - 12. Suppose -3*h + 32 = h. What is the smallest common multiple of j and l(h)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5)*(-10)\/8. What is the closest to -2\/7 in z, -2\/3, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 2 s when four letters picked without replacement from sssqqsbsbsqbn?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 10, 203, 11765?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*9\/(-6)*30\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2311*3.\nAnswer: 6.6933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y = 1416 - 819 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -11*t**6\/30 + t**2 + 22*t. What is the derivative of n(f) wrt f?\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.92 - -2.568. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19931 is divided by 866?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -15. List the prime factors of ((-10)\/x)\/((-4)\/12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55656 divided by -1.\nAnswer: -55656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*s - 1786, -3*y + 5*y = 4*s - 2378. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 16453310?\nAnswer: 16453310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (114\/(-24)*-2)\/((-1)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*s**3 + 2469994*p**3*s**2 - 713*p**2*s**2 + 2*p**2*s - 60*p*s**3 - 1 wrt p?\nAnswer: -12*s**3 + 14819964*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d - 132. Let t be ((-2)\/6)\/(2\/d). Suppose -14 = -3*q + 2*x, -4*x - t = -0*q - 3*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y**(-3\/4))\/(y**(-1\/3))**23 assuming y is positive.\nAnswer: y**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 21*z - 22. What is k(21)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + -72. Let t = -44.7 + p. Let n = 8 + t. What is the nearest to 1 in n, -5\/4, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from {x: 1, s: 1, p: 1, u: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {w: 1, y: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1665 and 629.\nAnswer: 28305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y**3 - 7435*y**2 - 7667560*y + 3287460 = 0. Calculate y.\nAnswer: -374, 3\/7, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (-4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 10:01 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38165, 3.\nAnswer: -38165, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*o = -5 + 1, 5*d = o + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 18. Let k(s) be the first derivative of 0*s**3 + 1\/6*s**6 - s**h + 0*s**5 + 1 + 0*s + 0*s**4. What is the second derivative of k(v) wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125\/374 or 1?\nAnswer: 125\/374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1654 - 1511. What is the remainder when o is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 166.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r. Let b(o) = -374*o**2 + 3*o + 529. Let d(q) = -b(q) - 2*t(q). What is the first derivative of d(g) wrt g?\nAnswer: 744*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57201 in 1, 0.3, 2\/21, -4, 2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 6, -8, -1, 2, -378, 5 in decreasing order.\nAnswer: 6, 5, 2, -1, -8, -15, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-8)\/28 - 145\/105) - -3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -46. What is the derivative of y + 9 - f**2 - 8 + 8*f**2 wrt f?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18444)\/1166 + 18\/(-99) - 47.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:27 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20225 - -42146. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:57 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2 + 7 - 3*x + 4*x - 14 + 4. Let f be (6 + -2)\/2 - 1. Let a(l) = 2*l**3 - 5*l + 5. What is f*a(d) + 6*b(d)?\nAnswer: 2*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*v**2 + 12*v**5 + 36*v**4 - 36*v**4 wrt v?\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4524, -9048, -13572, -18096, -22620, -27144?\n\"Answer: -4524*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*-55*(-10)\/55. Solve -l*v - 21 = -12*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 42. What is the remainder when x is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1043 * 2.\nAnswer: -0.2086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 + -2. What is the closest to 1 in z, 0, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9370 and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1890 divided by -63.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 2*f + 7 + 3*f. Let k(m) = 8*m + 7. Let o(r) = 6*k(r) - 5*v(r). Differentiate o(h) wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1936, 2, 5 in ascending order.\nAnswer: -1936, 2, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866.1781 minutes to seconds.\nAnswer: 51970.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 41*g**2 + 47*g - 71. Give b(42).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -8 + -8 - -6) + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 4*m, u + 9 = 2*m - 1. Let k be ((-44)\/(-8))\/((-2)\/u). Calculate the greatest common factor of k and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose d*u = -2*u - 20. Let k(o) = -o**3 - 5*o**2 - 8*o - 4. What is the remainder when k(u) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Let n be x\/(-10) - (-44)\/10. Suppose 2*z = 2 + n. Solve a = 4*b + 4, -z*b - 27 = -4*a - 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1051253 + 100?\nAnswer: -1051153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Suppose -u + 7*u = 150. Solve a*n = -0*n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 + 21 = -32*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 2, 4, -0.03, -417?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292 and 146.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 42411237.\nAnswer: -8482247.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Let o = 12 + -16. Let t(x) = 3*x**2 + 2*x - x**2 - 6*x. Let u(h) = h**2 - 3*h. Let d(l) = o*u(l) + 3*t(l). Determine d(a(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -476 + 474.8. Let c = 26.5 - 26.44. Is c at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1612, -1610, -1608?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/511 - -521\/2555. Let o = -71 + 359\/5. Factor o + i**2 - t*i**3 - 8\/5*i.\nAnswer: -(i - 2)**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*b = -0*y - 1, 4*y = -1280*b + 1285*b - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 15*v + 48. Let k be n(18). Let h be (8\/(-48))\/(1\/k). Solve 2*g - g = -h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 276\/36 + (-1)\/(-3). Let n = 96 - 56. Calculate the greatest common divisor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(40)\/sqrt(4)))\/(sqrt(64)\/sqrt(2)) - ((sqrt(200)\/sqrt(40))\/sqrt(10) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -6.95. Let b = -1292 - -1299.07. Let r = s - b. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 3, f: 10}. Give prob of sequence qefq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400206073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6030, -12290, -18550?\n\"Answer: -6260*f + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -c - 41531, 6551 = 3*o + 2*c - 24589. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in 4, 0, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -669\/7 < -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - e8?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 4*t**2 - 3*t**2 + (3*t - t - 3*t)*(2*t - 4*t + 3*t) + 2*t**2 + 2*t - 2*t - t**2 + 3*t**2 - 5*t**2 - 2*t**2 + 0*t**2 + 10*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 15. Let q = -638 + 646. Give n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 7. Suppose 0 = o + 4*o - 10. Let x be l(o). Calculate the greatest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 36 = 5*b, -16 = -3*b + w. Suppose i + 77 = -3*m - b, -5*i - 5*m = 375. Let a = i + 77. Calculate the highest common factor of 18 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:14 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -973*m**2 - 68 - 64 + 134 - 2984*m**2 as b + g*m + w*m**2 and give w.\nAnswer: -3957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-4) - (-6 + 2). Let i = -0.9 - -0.6. Let x = i - -1.3. What is the closest to t in x, -1\/9, 1\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/525 - f**6\/150 - f**5\/50 - 105*f**2. Factor c(n).\nAnswer: 2*n**2*(n - 3)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/10)\/(1\/(-16)). Let f(r) = 8*r + 190. Let v be f(-22). Let b be 6*(11\/v - 6\/21). Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/689 and -35\/13.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 2199570*p + 403175682075.\nAnswer: 3*(p + 366595)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 0 - (34 - 34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*c + 27 = -136*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4025*p**2. Let g(x) = 33*x**2. Determine 245*g(d) + 2*k(d).\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 149 and 4801.04?\nAnswer: 4652.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8738 - 3943. Suppose 15*t - 72729 = 6*t. Let i = t + w. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551095 and 43415.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 15*w**2 - 27*w - 11. Let p be a(-13). Let k be 14 - 11 - (1 - p). Put -6, k, -1 in decreasing order.\nAnswer: k, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)\/(12\/174). Suppose -7*x + 3*i - z = -9*x, -x - 5*i + 18 = 0. Calculate the remainder when 19 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 321 + -110. List the prime factors of x.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3850\nAnswer: 3\/3850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3482 and 170.\nAnswer: 295970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*j + 65*j + 50*j + 1 - 1.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 7810 = -110. Does 44 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24\/11 (b) 4 (c) -2\/9 (d) -2\/11 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d - 16. What is the smallest value in -3, 1\/2, d, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 225?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-16))\/(-1*6\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g**(-1)\/g))\/(g**(-5)*g**(-3\/2))*(g**(-1))**(-2\/57)*((g*g*g*g\/(g\/g**(2\/3)))\/g)\/(g\/g**(1\/2)) assuming g is positive.\nAnswer: g**(667\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {m: 5, g: 5, c: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42476, 84885, 127230, 169511?\n\"Answer: -32*t**2 + 42505*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15077492317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 262*r**2 + 119*r - 6. List the prime factors of u(6).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641622563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1125*c**2*p**3 + c**2*p - c**2 - 8*c*p - 7250*p**3 + 12416*p + 4 wrt p?\nAnswer: -6750*c**2*p - 43500*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65649715121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-302464)\/204)\/(-139))\/(((-4)\/(-9))\/((-10)\/15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let a(i) = 2760*i**2 + 1. Determine t(a(x)).\nAnswer: -2760*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1174 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 44 = 0. Let a(u) = 2*u**2 - 11*u + 2. List the prime factors of a(i).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 4095.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = z - 3*u, -2*z - 8*u - 19 = -5*u. Solve 0 = z*r - 154 + 178 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42959 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eozoz. What is prob of sequence eozo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*l + 15*l. Suppose 2*y - l*o + 11 - 2 = 0, 5*y - 18 = -o. Calculate the lowest common multiple of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 12 = 3*s. Let w be ((-6)\/15)\/((-2)\/90). What is the greatest common factor of w and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102 + 302 + 602*w**2 + 4104*w**2 + 775 - 106 wrt w?\nAnswer: 9412*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 - 49*h. Let i(n) = 2*n - 2. Let o(s) = -8*s**2 + 12*s - 11. Let q(x) = 6*i(x) - o(x). Give q(v(m)).\nAnswer: 8*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 6, 5, -33.\nAnswer: -33, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -42 - 33 - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 14 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(450)*3 + -3*sqrt(90)\/sqrt(5))\/(((sqrt(189) - (sqrt(189) + sqrt(189)*2) - sqrt(189))\/sqrt(7))\/(sqrt(300)*-2)).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -35*b + 413. Let k(q) = 6*q - 2. Let u(d) = -h(d) - 9*k(d). Give u(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*d + 747*d - 5499 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 divided by 547?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, x: 1}. What is prob of sequence gg?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/7 (b) 2\/9 (c) 20 (d) -44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -18. Let d(s) = 67*s**2 + 2*s - 3. Is d(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567 + 2*h + 395 + 321 + 413 - 263.\nAnswer: 2*h + 1433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*k*n**2*y - k*y**3 + 3*k*y**2 - 190*n**2*y**3 + 9*n*y**3 wrt k?\nAnswer: -5*n**2*y - y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrzzrrzr. What is prob of sequence rrzz?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4194?\nAnswer: -5\/4194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47891494?\nAnswer: 2, 7, 3420821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 1445671158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:41 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 33. Let o = 81 - x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-21)\/14)\/(7\/(-266))*15 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pukcuppgkkugcgpk. What is prob of sequence gu?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2480303206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2596*w**2 + 62*w - 187. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.953 + -0.053. Let q = -0.97 + k. Which is the closest to 1? (a) -0.4 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1449168, 1449170, 1449172, 1449174, 1449176?\n\"Answer: 2*c + 1449166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**3 - p**2 - 2*p. Let z(a) = 12*a**3 - 2*a**2 - 5*a. Let n(l) = -5*j(l) + 2*z(l). Suppose 0 = s + 2 - 1. What are the prime factors of n(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15*y - 60. Let z be o(-5). Solve z*s - 12*s + 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yogo when four letters picked without replacement from {g: 10, o: 4, y: 1, l: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826, -1653, -2478, -3301?\nAnswer: -4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.3, -3, -2.5427.\nAnswer: -3, -2.5427, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35813 and 0.1.\nAnswer: 35813.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.59 + 1.09. Which is the third biggest value? (a) 4\/3 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/9, 1 in descending order.\nAnswer: 1, 2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3433 in 4, -3\/5, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*j + 4*r + 53520 = 111*j, 0 = 4*j - r - 53511. Calculate the greatest common factor of j and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(((0 + sqrt(1573))*5)**2 + 0 - (4 + (sqrt(1573) - (1 + sqrt(1573))) + sqrt(1573) + 1 + sqrt(1573)*-1)**2).\nAnswer: 235858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21342*v**3 + 2*v**2 + 392706*v?\nAnswer: 128052*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 3*j. Let w = -689866 - -690274. Calculate the remainder when w is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1839*h*l**2 + 42369*h - 2*l**2 with respect to l.\nAnswer: -3678*h*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*7\/56)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*i - 117612, 0*i - i = 2*n + 235249. Let q = n - 190130. Let c = -127757 - q. Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 220050 (b) 0.1 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 344 + 344 + 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 109\/(-3) + 4\/(-6). Let d = 57 + a. Suppose -m + 4*m = 15, 5*m = 5*w - d. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26481781.9999977 - -26481799. Let y = 5 + -22. Let b = y + p. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 34654 = 4*t, -5*t = -5*s - 1072 + 44352. Round t to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 29*f + 15. Suppose -2*o - f*o + 2527 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -122, -230, -326, -404, -458, -482?\n\"Answer: n**3 - 115*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 13, 0, -2\/23, -375, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5331*a**3 + 2070*a**2 - 2*a wrt a?\nAnswer: 31986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/15)\/z**(4\/3)*z*z*z**(-5\/6)*z**5*z assuming z is positive.\nAnswer: z**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**2)\/d)*d)\/(d*d**8) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280 + 279. Let h(i) = 7*i. Calculate h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29480 is divided by 150.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 + 5*m**3 + 0*m**3 + (5 - 5 - 2*m)*(3*m - 3*m + m**2))*(11*m - 11*m - 23*m).\nAnswer: 23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67899 is divided by 125.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 157.5 and 2?\nAnswer: 155.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dc408 + 5?\nAnswer: -dc403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-2)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94326 by 1.\nAnswer: 94326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9709 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5876, -11339, -16802, -22265, -27728?\nAnswer: -33191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 908\/36 + 4\/(-18). Suppose -g = -8*h + 3*h. Let o(x) = x + h*x - x. Let v(f) = -2*f. What is v(o(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*i - x + 5, -5*x + 10 = 0. Let c be (1 - i - 17)\/(-1). Is 846\/15 - (-9)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**2 + 9*j**2 + 4*j**4 + (3*j**2 + 10*j**2 - 6*j**2)*(2*j - 2*j + 7*j**2).\nAnswer: 53*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26921844 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 12*w = 348 - 332 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/36 - 16*c**3\/3 + 384*c**2 + 65*c. Solve m(i) = 0 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033277 = -5*b - j + 1033297, 5*j + 20 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l\/(l**(-1\/22)\/l)))\/l*l)\/l)\/l)\/l**8*(l*l**(-3))\/l*l**(-10) assuming l is positive.\nAnswer: l**(-507\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.4 and 0.22.\nAnswer: 6.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u + 112*u**3 - 113*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 + 68\/3*k + 35\/3*k**2 = 0. Calculate k.\nAnswer: -2, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8228400, -16456843, -24685286, -32913729?\nAnswer: -41142172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44587811 is divided by 932?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 6*d**2 + 4*d + 1. Let u be k(-5). Suppose -u*j + 30 = -j. What is the least common multiple of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let o be s(-4). Let z(r) = r**3 + 7*r**2 + 7*r + 6. Let j be z(o). Let d(y) = -39268*y + 235628. Let t be d(6). Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 8:33 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-24))\/(m\/m**9)*m**25*m\/(m**(-8\/7)*m))**(1\/2) assuming m is positive.\nAnswer: m**(207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8221 or -8254?\nAnswer: -8254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 3*c + 48669 + 25497, 5*m + c - 28534 = 0. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/76 + -1675\/228. Suppose -6*p + 10*p = -24. Is x at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 11 = 2*p, 0 = -3*a - 5*p + 6*p. Let x = 37 + -22. Suppose 4*k + 20 = -3*f, -2*f + 7*f - 3*k - x = 0. Sort 2, a, f in descending order.\nAnswer: 2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 48*r - 1879. Give w(40).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 23*d**2 + 51*d - 18. Calculate u(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 9*v - 11 = -4*w + 3, 93 = 15*v + 4*v - 2*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3615 - -405.1615. Let u = -405 + z. Which is the closest to -4\/7? (a) u (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1 - 2 + g + 0. Suppose b - 3*b = 2. Let i(o) = -4*o + 2. Give b*i(v) - 3*p(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2285229517 to the nearest integer?\nAnswer: 47804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 222300710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 102\/21 - (-54)\/14. Solve -3*v + 3*j = -b*v, 0 = 4*v - 4*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/18)\/(61\/122)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -3*i**5\/20 + 11*i**4\/12 - 3*i**2 + 2*i - 201. Let u(s) = -s**3 + 4*s**2 - 2. What is 6*m(k) - 17*u(k)?\nAnswer: -k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 207?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 16*w - 110 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 76*a - 137. Give z(-101).\nAnswer: 2388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-3))*((o*o*o*o**(-5)*o)\/o)\/o)**39\/(o**1*o**3)**(-1\/20) assuming o is positive.\nAnswer: o**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225957 and 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2452994 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.05 - 195.95. Let m = -185.9939 - h. What is m rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 5. Let x be p(4). Let s be -1 + (-184)\/(-3 - -1). Suppose -2*t + 3*t - s = 0. What is the highest common divisor of x and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*139233551.\nAnswer: -27846710.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + r + 5. Let v be i(0). Let o(t) = t + v - t**3 - t**3 + 3*t**3. Give o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 31\/165 and 218 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9048, -17, 2 in descending order.\nAnswer: 4, 2, -17, -9048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -3*c**3\/2 + 209*c**2\/2 - 47*c. What are the prime factors of g(-19)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**4 - p**3 - p**2 - p + 1. Let m(i) = -40*i**4 + 3*i**3 - 8*i**2 + 3*i - 3. Let c(n) = m(n) + 3*q(n). Find the third derivative of c(j) wrt j.\nAnswer: -888*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44685\/297)\/(-5) - -32.\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398919487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Divide -26038216 by -426856.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 626.\nAnswer: 62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*n - 882122 = -876446 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2916137632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 315206 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**3\/3 + 9*t**2\/2 + 24*t - 72. Let h = 19 - 9. Calculate the remainder when 24 is divided by b(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-4461)\/54*1. Let m = a + 165. Let y = -132 - -132. Is m smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -s - 404, 3*k + 12*s + 599 = 14*s. Let m = k - -240. What is the greatest common factor of 429 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -24. Let n be (0 - o)*4\/(-6). Let d be (n\/(-5))\/((-1)\/5). Solve -4*j - 2*z + z = -4, -2*j + d = -4*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 245 = -91. Calculate the highest common divisor of r and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516425 times 69?\nAnswer: 242633325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2642838 divided by 6\nAnswer: 440473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 o when three letters picked without replacement from {g: 1, o: 1, i: 1, a: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 2. Let r = a + -11. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 20. Suppose 41 + 74 = m*x. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.113833314 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 20 = 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and 4614.5.\nAnswer: 4606.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3163 + 3235 = -9*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.6 times 5?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 122 = -0*c + 2*o, -2*o = 4. Let b be (-2)\/6 + 74\/6. List the prime factors of (-1)\/(-2) + c\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 1\/15*k**6 + 1\/6*k**4 + 1\/5*k**5 - 3*k + 0*k**3 + 0 + 0*k**2. Determine g, given that o(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8790\/46 - (-2)\/(-23))*1 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 299*t - 294*t = 9262165, 4*y + 3*t = 12349579. What is y rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.6 + -4. Let l = a - 0.5. What is the third biggest value in -1, l, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 14*b**2 + 32*b + 24. Let j be d(16). What is the third derivative of -70*k**6 + 8*k**2 + j*k**2 - 79*k**6 - 10*k**2 wrt k?\nAnswer: -17880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37650626 and 949?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 + 48463*d*r**2 + 124*d - 198012180*r**2 wrt d.\nAnswer: -4*d + 48463*r**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1227, 4679, 10433, 18489?\nAnswer: 28847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079514399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8*b - 54 = 0. Let k be 5*((-4)\/30)\/((-4)\/b). Let s(l) = l. Calculate s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -2)*(-2)\/(-4). Let d(s) be the second derivative of -s**3\/3 + 2*s. Let c(g) be the first derivative of g**2 - 1. Calculate x*c(k) + 2*d(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -469*x + 469*x + 2*x**4 + (2*x + 0*x + x)*(5*x**3 - 4*x**3 + 0*x**3) + 0*x**4 + x**4 + x**4 + (4 - 2*x**2 - 4)*(-8*x**2 + 3*x**2 + 3*x**2).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/24 + d**4\/12 - 7*d**3\/3 + 22*d**2. Let k(u) be the first derivative of q(u). Calculate k(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53122405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-14) - (-92)\/(-23). Let k be 2\/6 + (-566)\/6. Let l = -379\/4 - k. Which is the nearest to -1? (a) 3 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 31.80408mm?\nAnswer: 0.00003180408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:00 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 39. Let c be z(18). Put c, -1, 6, 1 in increasing order.\nAnswer: c, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -40*l - 151 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/24)\/(1\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18735579*j - 8286939*j + 1631773*j.\nAnswer: -25390745*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7585, 7685, 7801, 7939, 8105?\nAnswer: 8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*5*3\/15. Let x(m) be the first derivative of y*m**2 - 2\/9*m**3 + 2\/15*m**5 + 1\/6*m**4 + 0*m - 1\/9*m**6 + 3. Suppose x(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 f when four letters picked without replacement from gcffffcfc.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173? (a) 1 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 319, -2 in ascending order.\nAnswer: -2, -1, 3, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from cegchmooomhehc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/15)\/((-5)\/350). Let d = 195 - k. Let g(v) = 18*v**2 + 1. Calculate g(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -109. Let d be (-11)\/(-2)*1*2. Calculate the greatest common factor of l and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, w: 3, b: 1, l: 2}. What is prob of picking 1 l, 2 w, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 2. Let t(b) = -19*b - 87. What is 5*m(j) + t(j)?\nAnswer: -9*j - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.031, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + a**4 - a**5 + (2*a + 2*a - 2*a)*(-a**4 + 7*a**2 - 7*a**2).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 72724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**3 - 3*p**3 + 38*p**3.\nAnswer: 71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4617.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7347 + 15920. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a + 3. Let y(b) = -5*b + 1. Let x be (-4)\/(-4)*(-3 - 0 - 0). Give x*s(l) + 5*y(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let q(n) = 3*n. Let z = 0 - 2. Let x(m) = z*o(m) - 3*q(m). Let l(j) = -35*j**2 + 6*j**2 + 13*j**2 + 2*j**2 + 16*j**2. What is x(l(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q + 4 = 2*d, 8 = 4*d + q. What is y in -4 + d*y**2 + 2365*y - 2365*y + 2*y**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11737393.2 to the nearest one hundred thousand.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*s = -10, h - 3*h + 5*s = -7. Let f be ((-10)\/h)\/(7\/14). Let a(v) = v**2 - 8*v + 4. Calculate a(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 10*u - 6*u + 14*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p - 1800 = 34*p. Is 100 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -16, 8, 48, 110, 200, 324, 488?\n\"Answer: i**3 - i**2 + 10*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18212 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 12 + -6 - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 2*d. Suppose 0 = -3*q - 0 + d. What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/55 - (515\/(-25) - 6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 572, 884, 1318, 1874, 2552?\nAnswer: 3352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*l**2 + 113*l**2 - 2792 + 2792.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-161*c**2 - 228*c**2 + 175*c**2)*(0*c**2 + 3*c**2 - 2*c**2) - 13*c**4 + 0*c**4 + 9*c**4 to j*c**2 + w*c + f*c**3 + x*c**4 + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30855 - -65682. List the prime factors of f.\nAnswer: 3, 13, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 + 219. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 152 - 149 = 0. Let w(i) be the third derivative of 0*i**h + 2*i**2 + 1\/32*i**4 + 0 - 1\/240*i**5 + 0*i. Find b, given that w(b) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(252) + -1*(sqrt(252) + 1) - (-3 + 1 + sqrt(252)))*-2.\nAnswer: -13 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(1 + 0 - 2)*(-2 + 5 - 2)*((5*k - 3*k + 0*k)*(-1 + 1 - 1) + 6 - 6 + 9*k + (-2 + 1 - 3)*(k + k + 0*k) - 2*k - 3 + 3).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*((sqrt(567) + -2)*5 + -1)*3)**2.\nAnswer: -2886840*sqrt(7) + 41687136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*z + 11, 3*h = -5*z + 27 - 34 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 264*u**2 - 241*u**2 + 1 + 2 + (-2 + 3 + 1)*(3*u**2 + 0*u**2 - 5*u**2).\nAnswer: 19*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (sqrt(325) - -3*-1*sqrt(325) - ((sqrt(325)*-1 - sqrt(325)) + 3))**2 + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723598293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 + 2 + 1. Let w = h - 9. Which is the second biggest value? (a) 4 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 = 3*n, 0 = -2*n + 1515*x - 1517*x + 22. Factor -2\/9*a**4 + 2\/9*a**2 + 0*a + 2\/9*a**5 - 2\/9*a**3 + n.\nAnswer: 2*a**2*(a - 1)**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2 - 23176*t + 67140872 = 0.\nAnswer: 5794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14864*a**2 - 14875*a**2 + 5*a**3 - 2*a**3 + 29739*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*((2*k - 1 + 1)*(6*k + 3*k - 4*k) - 2*k**2 - k**2 + k**2 + 0*k**2 - 3*k**2 + 6*k**2 - 5*k**2 + k**2 + 5*k**2).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-1 - -2))*694\/(-14574)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) -0.5 (c) 12.9 (d) -1 (e) -19\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b + 60. Let i be 1\/5 - (-56)\/20. Find the first derivative of -b*y**4 + 10*y**4 - 2 + i wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55273995 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5\/20 - g**4\/4 + g**3\/2 - 4*g**2 + 3*g. Let q be l(-6). Let z = q + -407\/5. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = -9*x - 309 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 2*t = -28, 0 = -5*t - 20. Suppose -2*a = x - 5 + 1, 5*x = 3*a + 7. Suppose x*n + q = 46. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 60\/16)*-36. Suppose 0 = -x + 5*g + 63 - 16, 4*x - 3*g - 120 = 0. Suppose -4*z + 9 = -x. Calculate the greatest common divisor of z and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -45*t + 1. Calculate p(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1525152 (base 6) to base 5\nAnswer: -10324101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**4 - 2*a**3. Let k be -1 + 2 - (-10 + 0). Let f(i) = 14*i**4 - 11*i**3 - i. Let l(v) = k*u(v) - 2*f(v). Find the second derivative of l(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23584 and 15840?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 44708*i + 1431709. What is g(32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184\/15 - -38\/3. Which is the closest to k? (a) -6 (b) -1\/4 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*z + 258 = -31*z + 4170 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 61*i**6\/15 + i**3\/3 + 33*i**2\/2 - 226*i. What is the second derivative of y(g) wrt g?\nAnswer: 1464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 131706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19817971 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 6. Let t be k(9). Suppose 4*v - 50 = w, 20 = v - t*w - w. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61524142577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(12\/(-3))\/(-1). Which is the third biggest value? (a) -47\/5 (b) -0.4 (c) k (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/3 + 2*l**4 - 20*l**3\/3 - 40*l**2\/3 + 16*l + 64\/3 = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.047*1100869\nAnswer: -51740.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 - 327. Let z be (-5 - o)\/(40 + -41). Solve -4*f + 6 = 5*x, 4*x - 7*f + z*f = 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 18 - 3 = 0. Suppose w = 15*z - 14*z. Suppose z*h - 320 = 1755. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -421, 5, 24, 1.\nAnswer: -421, 1, 5, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**6)\/(t**3*t*t)*(t\/t**(-2\/11))\/t**(5\/7) assuming t is positive.\nAnswer: t**(-734\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 + 5*z + 1. Let g(u) = 3 - 7*u**2 + 725*u - 711*u - 10*u**2. Calculate 4*g(y) - 11*x(y).\nAnswer: -2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.432 + -2.932. Which is the third biggest value? (a) -5 (b) -0.5 (c) n (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**2 + 11733 - 6*y**2 - 11725)*(3 - 3 - y).\nAnswer: 15*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 31*i**2 + 701*i - 277. Suppose 138*n = 141*n - 66. Let m(g) = -8*g**2 - 175*g + 69. Let v(h) = n*m(h) + 6*b(h). Determine p so that v(p) = 0.\nAnswer: -36, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1184 by 490.\nAnswer: -592\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, 923, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1683925, -1683918, -1683901, -1683868, -1683813, -1683730, -1683613?\nAnswer: -1683456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 9*m - 9. What is t(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(612)) + (sqrt(612) - (sqrt(612) - (sqrt(612) + -1)*5)))**2 + 3 + 3 + sqrt(612) + sqrt(612) + 1 + sqrt(612).\nAnswer: 150*sqrt(17) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5264 and 66364564.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = g + 24, -2*m + m - g + 1 = 0. Let z = -28 - -23. Let l = m - z. Solve -d + l = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211022212001210 + 11?\nAnswer: -2211022212001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 349*f**2 - 405 wrt f?\nAnswer: 698*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32476987 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6386 + -0.1999.\nAnswer: 6385.8001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 4560*x - 16.\nAnswer: -4560*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*d - 14 - 16, -24 = 4*d - 2*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 0*x**2 + 6*x**2 + x**2 - 133*x - 115*x + 259*x.\nAnswer: 2*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggw when four letters picked without replacement from gwwwgwwwwggwwwwwwgw.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k + 0*k**2 - 1 + 20\/3*k**3. Let a(p) = 2*p. What is s(a(b))?\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*o + 157 + 52 = -180*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**3 - 40 + 1\/105*r**7 + 0*r + 109\/30*r**5 + 2*r**2 + 0*r**4 + 11\/60*r**6. What is the third derivative of m(h) wrt h?\nAnswer: 48*h + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403639864, 403639867, 403639872, 403639879, 403639888?\nAnswer: 403639899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 93.34166g?\nAnswer: 0.00009334166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 11 = -4*u. Suppose a = q - 0*a - u, q + 5 = -2*a. Solve -q*k + 20 = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 10:57 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -87. Let q(j) = -17*j**3 - j**2 + 2*j + 2. Calculate the remainder when 63 is divided by q(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48741 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2 + 365*p - 1637. Give u(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-16) - -2) + 3\/(-4). Suppose -20 = -3*j + j. Solve -2*h - g*h = 4*x, 5*h - j = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.33 - -7.843. Let d = 0.013 - l. Which is greater: 5\/4 or d?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -572 - -585. Solve m*y - 48 + 87 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 0 + sqrt(1573) - (1*sqrt(13) + 5)*4)**2*6.\nAnswer: -11976 + 3192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 14\/(-4))*-20. Solve -5*k - 15 = 0, -4*w + 5*k - 3*k = -c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*q + 3*l, 2*l - 37 = 5*q - 112. Let y(h) = 70*h - 17. Let d be y(q). Calculate the greatest common divisor of 47 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -20*w**2 + 55*w - 55. Give h(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**4 + d**2 - 1\/42*d**7 + 0 + 0*d**3 + 0*d**5 - 1\/336*d**8 + 0*d**6 - 3*d. Factor i(w).\nAnswer: -w**4*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 + -84023?\nAnswer: -84023.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30878766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 23*s**2 - 77*s + 20. Determine w(-18).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.06 (c) -2\/39 (d) 0 (e) -2\/5 (f) 84\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3, 151 in increasing order.\nAnswer: -5, 3, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 158, 299, 476, 689, 938, 1223?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*i**3\/21 + 4738676*i**2\/21 - 12973064*i\/21 + 1268176\/3 = 0 for i.\nAnswer: -6566, 26\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19172 is divided by 282.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 3 (b) -4 (c) -2 (d) -2\/13 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021021 (base 3) to base 11.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -1\/7 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 9101334.\nAnswer: 18202668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r + y - 2 = 81*r, 5*r + 2*y - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 416*a**2 - a*s**3 - 48*s**3 - 2*s**2 wrt a.\nAnswer: 832*a - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 4*g + 102, 5165*c = 5166*c + 3*g - 71 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/18)\/(1\/(-3)). Let c = o + 2. Solve 4*u + 4 = m + 3*m, -c*m + 7 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/18 + (-2)\/9. Let h = 1 + g. Suppose -2*k - h*k = -20. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 31*z**2\/2 - 2*z - 3. Find the first derivative of x(y) wrt y.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 464*w\/3 - 304.\nAnswer: -4*(w - 114)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 5. Let y(l) = l + 2. What is a(p) + 6*y(p)?\nAnswer: 4*p + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 2*r**2 - r**3 - 4*r**2 + 3*r. Let t(h) = 4*h**2 - 17*h - 32. Let d(c) = -c**2 - 1. Let a(o) = -3*d(o) - t(o). Let j be a(19). Determine p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296022 and 1756014.\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.959 - -26. Let a = -0.088 + l. Round a to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*0\/((-4)\/1). Suppose 4*t - 12 = 5*m, -m - t + 3 = -s*t. Suppose 2*h - y = 45, m*y = 3*y - 3. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 661 - 204. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, -373, -402, -453, -532, -645, -798?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8328.693 millennia to years.\nAnswer: 8328693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nff when three letters picked without replacement from {f: 7, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14250870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:22 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - (3 + -2 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 11*a - 5. Let t be x(-6). Let i be t\/((-3394)\/(-848) + -4). What is i rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*a = -13 - 2, -2*g - 5*a - 15 = 0. Suppose 3*h - 37965 - 13035 = g. What is h rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -703*t**5 - 2*t**3 - 2*t**2 + 372*t + 4. Let y(w) = w**5 + w**3 + w**2 - 2. Let r(a) = k(a) + 2*y(a). Find the second derivative of r(i) wrt i.\nAnswer: -14020*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scya when four letters picked without replacement from cnaynsfafsfyfss?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3520, 3439, 3354, 3265, 3172, 3075?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1185 + 27.1185. What is the closest to 1 in 2\/13, -2, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 1245 + 2452 - 184*p - 1236 + 4*p**2. What is k(37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-16)\/1134)*(-2)\/1. Suppose -2*z - t - t = -230, t - k = -5*z. What is the remainder when z is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 18*j + 2*j**3 - j - 1 - 2 to b*j**2 + p + t*j**3 + i*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - g)*(-19 - 13 - 16).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:26 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6683081.647 and 71.9.\nAnswer: 6683153.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:54 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2683 = -4*i + 2*f, 5*f - 2153 = -4*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147912 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -329004?\nAnswer: 329004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 4*v**2 - 94707*v + 94711*v in the form i + w*v + j*v**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xwwwxyiwwycywwywyiix?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {g: 3, x: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 8643912577006.\nAnswer: -8643912577005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13 + 222*m - 24 - 2806*m. Is g(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t + 37. Give j(-10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 5*n**4\/3 + n**3\/2 - 3*n**2\/2 + 3*n + 60. What is q(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:59 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + 2?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/18)\/(2370\/(-11376))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -26. Suppose 13*h = p*h - 40. Let a(o) = -5*o - 2. Let f be a(h). Solve -4*k = -16, -2*u + 7*u + 2*k - f = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 220*r + 0*r**2 - r**2 + 139 + 220*r.\nAnswer: r**2 + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1936 - 49.275465\nAnswer: -1985.275465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(-4) + (-2)\/8. Suppose -4*h + 2*d + 18 = 0, 0 = -4*h - 3*d + t - 4. Suppose 997 = 18*b + 1051. Sort -4, h, b.\nAnswer: -4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6)*(150 - 4). Let v(f) = -z + 73 - 7*f. Let s(a) be the first derivative of -a**3\/3 - 4. What is v(s(n))?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 34, 84, 168, 298, 486?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 953, -389, -0.12 in increasing order.\nAnswer: -389, -0.12, 1\/3, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 12. Let m be h(7). Suppose 22*r = m*r. Is 6 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106619 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6005 in -2\/19, -2, -6.1?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 839036050?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.2 + 123.3. Let s = -52 + x. Is 24 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + q**2 - q + 4. Let a be d(0). Suppose 12*l - a*l - 696 = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:30 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 19. Let m(j) be the second derivative of -j**4\/12 - 4*j**3\/3 - 4*j**2 + 7*j. Calculate the lowest common multiple of i and m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 5*s = 0. Suppose -5*c + 5 = s, 0 = -h + c + c. Let y(u) = 5*u**2 - 4*u. Let p(r) = 21*r**2 - 17*r. Let g(l) = h*p(l) - 9*y(l). Factor g(w).\nAnswer: -w*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 11*y + 24. Let x be h(7). Suppose -x*g + 7*g + 5*t = 213, -4*g + 4*t = -204. Calculate the greatest common divisor of 234 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/4 + 11479*m\/2 + 2944941\/4 = 0.\nAnswer: -22829, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-33 - -58) + -41\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037083 rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -643976*0.22.\nAnswer: -141674.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 8. Let d = 193 + 11. Let u be ((-17)\/(d\/32))\/((-2)\/(-3)). What is the nearest to -0.1 in u, r, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -2.3. Let w = 113 - 118. What is the nearest to 2 in g, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -605602851, -605602850, -605602849?\n\"Answer: p - 605602852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952 and 4.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 498 - 2*p + 3*p**2 + 135 - 704 - 468 as z*p + g + l*p**2 and give g.\nAnswer: -1535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - sqrt(612)*1)**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.05. Let u = v - -4.05. Sort -5, u, -2\/13.\nAnswer: -5, -2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-6 + 8\/2). Let t be -1 + o - ((-7 - 2) + 4). Solve -j = -2*r + 1, -r + t*j = -0*j + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013230 is divided by 1212?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*b**5 - 33*b**4*c + 84*b*c - 4*b + 11*c wrt b.\nAnswer: -720*b**3 - 396*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 u when four letters picked without replacement from {h: 5, v: 12, u: 2}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*n. Let a be ((-10)\/15)\/n - 38\/(-6). Is a\/2 + ((-12)\/(-4) - -781) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-78)\/8)\/(9\/(-24)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.97967 + 0.3\nAnswer: 1.27967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*u + k, u - 6*k = -2*k + 20. Let w(y) be the second derivative of 2\/3*y**3 + u - y**2 + y + 1\/2*y**4. Suppose w(n) = 0. Calculate n.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9337691ng to micrograms.\nAnswer: 0.0009337691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 415 and 1992.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1140788.4700545 - -1140790.9. Let i = -11.1 + 13.53. Let d = x - i. Round d to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186583198, -186583197, -186583196, -186583195?\nAnswer: -186583194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 22*j**2 - 2*j + 1. Let h be a(1). Let c be (-1 - 2)\/(h\/(-28)). Let t = 23 - 19. Solve t*f - 20 = -c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 3358 = 184. Calculate the least common multiple of g and 63.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - a**3 + 3*a**3 + 0 + 3 - 3*a**3 + 1143597*a**2.\nAnswer: -a**3 + 1143597*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0 - 3*b**2 + 3\/7*b**4 + 0*b - 18\/7*b**3 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 4*i**2 + 7*i - 3*i - 8*i to the form n*i**2 + g + r*i and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 3*k. Let y(g) = g**2. Calculate -n(d) - 3*y(d).\nAnswer: -d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1126018*g*u**2 - 5*u**2 - 14555*u - 2 wrt g.\nAnswer: -1126018*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5*g*g**0*g)**(-2) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32940740 and 35.\nAnswer: 32940740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - 4*j. Let h(y) = 22*y**2 + 6*y. Let t(v) = 2*v**2 - v. Let s(u) = -h(u) + 5*t(u). Give -11*i(z) + 4*s(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 + 3431*v**2 - 3426*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(7\/8)*j))\/j)\/(j*j*j**31*j)*j**(-10\/9)\/((j**(-27)\/j)\/j) assuming j is positive.\nAnswer: j**(-575\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0552 - 5.3552. What is the nearest to 0 in 5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 37*t - 82. List the prime factors of k(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w + 1 + 3 + 7*w + 9*w**2 + 4*w.\nAnswer: (3*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n**2 + 199*n - 201. Calculate z(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 2276544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*n - 28, -7*o + 4*o + n = -18. Solve 3*b - 15 = -o*z, -b = 34*z - 32*z - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 445440 = 5*v. Suppose 37*d = 219425 + v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 8*a + 24 = 0, 0*d + 3*d - 2*a + 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -746117, -746425, -746733, -747041?\n\"Answer: -308*o - 745809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 163.9. Let b = 167 - s. Let t = -17 - b. Sort 0.06, -0.5, t.\nAnswer: -0.5, t, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 73*o - 40. What is s(-39)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {d: 5, b: 4, q: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 7. Let b be z(-11). Let a = b - -31. List the prime factors of (-1)\/a - (-183)\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*c + 12, -3*l - 6*c + 4*c = 0. Suppose 0 = -9*i + 10*i - l. Suppose -13 = i*a - 19. Solve -a*f + 7 = 4*o - 24, -f = 4*o - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 899.4 + -899. What is the biggest value in f, 4, 0, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n**2 + 9*n - 5. Let r(a) = 17*a**2 + 8*a - 6. Let p(v) = -3*r(v) + 4*s(v). What is p(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 5:13 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -561\/64582 - 1\/659. Which is smaller: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011 (base 2) to base 9.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-57)\/(-171) - 234020\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962470 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 157 = 142 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 22. Let h be a(-18). Suppose -5*v - 2 = -u - 14, 4 = h*v + 2*u. Solve 0 = -v*d - 2*s + 6, 0 = -3*d - d + 4*s + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -60*g**5 - 365*g**4 + 30*g**3 + 365*g**2 + 30*g = 0.\nAnswer: -6, -1, -1\/12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -794*o - 76*o**2 + 1576*o - 2*o**3 + 2 - 785*o - 15*o**2 - 29*o**2 as b*o**3 + s*o + l*o**2 + y and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 7*b - 4. Let y(x) = -4*x - 4. Let m = -9 + 4. What is the lowest common multiple of y(m) and i(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6))\/(h*h**(1\/2)\/h))\/(h*h**5*h*h*h*h**(-1\/2)) assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from bxbbxxrbbxyyxyxx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(-7) - 12\/(-42). Suppose t*c = -c. What is the nearest to -4 in 4, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4 - 12*l**3 + 117*l**2 - 162*l = 0.\nAnswer: -9, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + 5*b - 7. Let l be j(-6). Let g be 0 - l - (-3 - 0). Suppose -i = g*i. Solve 0*c + c - 1 = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Let z = t - 0. What is the nearest to -0.2 in z, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, j: 1, z: 10}. Give prob of sequence uj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010626 (base 10) in base 4?\nAnswer: 3312233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.56456131111 - 0.2?\nAnswer: -29.76456131111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2463 and 313622?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (385\/(-66))\/(-35)*20 + -6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 divided by -6.\nAnswer: 389\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118.144 - 1.756. Let u = c - -120. What is the closest to -1 in -4, u, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 5*d - 5. Let q be p(-1). Determine g, given that 26*g**q + 20947 - 20947 + 28*g**3 + 2*g**2 = 0.\nAnswer: -1, -1\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 3. Let i be o(4). Is (i - 249\/(-2))*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/5 (b) 4665413 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11752, 23502, 35254, 47008?\nAnswer: 58764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/684 and -23\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 6*s - 6. Let a(h) = -h**2 - 5*h - 6. Give 6*a(m) - 5*t(m).\nAnswer: 4*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-2 - 1 - -1). Suppose w*n - 80 = -n. Let c be 3 - (9 + 195)\/(-12). What is the greatest common factor of n and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*d + 35*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*a**4 + 8252*a**3 - 42*a**2 + a - 36406?\nAnswer: 3576*a + 49512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**2 + 3*h. Let g be o(-3). Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100100011000100 + -110?\nAnswer: -100100100011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a31d (base 14) to base 7\nAnswer: 144536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -8. List the prime factors of (b\/(-1) + 0)*(3 - 74).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 22080.\nAnswer: 242880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1807186*z + 903818*z + 903381*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l**2 - 36*l**3 - 53 - 42*l**3 + 51 + 76*l**3 + l to g + d*l**3 + f*l + u*l**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 10*s + 14 = 15*s, -5 = -5*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2555 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -2581, -5811, -10333, -16147?\nAnswer: -23253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = 61*x - 237552. Suppose 0 = -0*i - 2*i. Suppose 13*n - 5524 - x = i. Round n to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.5, 3, 5\/3 in decreasing order.\nAnswer: 3, 5\/3, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2)*(-17)\/(476\/(-28))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 163. Suppose a - 25 = 5*c. Let g be (-4)\/14 - c\/42. Are -1 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -513953, -514039, -514125, -514211?\n\"Answer: -86*g - 513867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:42 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-7 + 6 + (-20 - -7)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 25*n**3 - 43300 + 86842 - 13*n**3 - 43542.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 1934706*x**4 + 53*x + 5731?\nAnswer: 20*x**3 - 23216472*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.090005555 - -2.09. Round w to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 4806*w - 386835.\nAnswer: -3*(w - 1517)*(w - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/18 + 145\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 90 = 6. Suppose -35 = -j - 4*j. Calculate the highest common factor of j and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from mwwmwmgwmmgwgmw.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/36 and -81\/884?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f**(-8)*f)*f))\/f**(-2\/39)*((f**0\/f)\/f)**(-17\/5) assuming f is positive.\nAnswer: f**(-419\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1400499 divided by -2551.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 7. Let t = -8 + 20. Suppose 4*d - t = d. Let w be s(d). What is the greatest common factor of w and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*u - 0*j + 3, -4*u + 5*j - 14 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2452941 rounded to 3 decimal places?\nAnswer: 11.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1917, 5, 0.11, 9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 7602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 15*c + 39. What is f(-9)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 2. Let k be s(4). Suppose 100*w - 193 = 7. Find the third derivative of 12*j**4 + 10*j**w + k*j**2 - 24*j**2 wrt j.\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/40 - 21*q**4\/16 - 11*q**3\/2 - 2*q**2 - 938*q. Suppose s(x) = 0. What is x?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*q - 25, -h = h - 5*q. Let b(f) = 7*f**2 + 20*f - 1. Let j(r) = -14*r**2 - 46*r + 3. Let s(a) = 9*b(a) + 4*j(a). Is 15 a factor of s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 13*z**7\/7 + z**4\/4 + 2*z**3\/3 - 308*z + 141. What is the third derivative of g(p) wrt p?\nAnswer: 1560*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668461?\nAnswer: 59, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6730, -6730, -6732, -6736, -6742, -6750, -6760?\nAnswer: -6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:08 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -43, -77, -131, -211, -323, -473, -667?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19538703 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 2*w + 2. Let l be k(3). Suppose -4*x - 2*o - 10 = 0, -3*o + 2*o = l. Solve -4*u - 18 + 2 = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 118. Suppose -65 = -3*g + 5*c, -13*g + 12*g = c - 11. Calculate the remainder when z is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:48 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a58de7 - 4?\nAnswer: -a58deb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + 4 - -15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2 + 6*i**2 + 10*i**6 - i**6 wrt i.\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.4421932 times 0.4?\nAnswer: 28.97687728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/11 - (-11 + -18 + -7 + 37).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50811*j**2 + 101608*j**2 - 50799*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/62095 or -1?\nAnswer: 2\/62095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -553 (b) 2\/7 (c) 5 (d) 4 (e) -22 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -7, 1, 15, 35, 61?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from wop?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 divided by -10?\nAnswer: -491\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10379 + 10393. Calculate the remainder when 2294 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g\/((g*(g\/g**(2\/11))\/g*g)\/g))\/g**(-5))\/(g\/(g**0\/g))**(3\/2)*(g**1*g*g)**(14\/3)*g*g**(2\/19)*g**(2\/7) assuming g is positive.\nAnswer: g**(30098\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 8*v**2 - v - 14. Let r be h(-7). Suppose -74 + 11 = -u. Calculate the greatest common divisor of r and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((-2*sqrt(20))\/sqrt(4)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138885, 137492, 136099, 134706?\nAnswer: 133313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d - 1 - d + 3 - 2*d - 33 to q + t*d and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 559082785 divided by -5?\nAnswer: -111816557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 - 1. Let m be d(1). Let u(z) = -6*z + 7. Calculate the remainder when -9*186\/(-9) + -3 is divided by u(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, -7.\nAnswer: -7, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(117) + 3*sqrt(117))*-1)\/((sqrt(9) - sqrt(99)\/sqrt(1100)) + sqrt(9)).\nAnswer: -120*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 33320274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -h + 5*h, 2*h = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let n(q) = -3*q - 11. Calculate 4*g(p) + n(p).\nAnswer: p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 2 (c) -16 (d) -1429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32667 - -0.22667. Which is smaller: 7285 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/(h\/h**(-1\/5)*h))**38 assuming h is positive.\nAnswer: h**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 10*c**2 - 8*c - 12. Let m be h(9). List the prime factors of (-6)\/27 + m\/(108\/(-5732)).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 2. Give j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 79 = -n, 2*n + 5*s - 179 = -311 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -1, -0.5, 0.1, 0.4, -3.8 in decreasing order.\nAnswer: 0.4, 0.1, -0.5, -1, -3.8, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3289756, -3289762, -3289784, -3289828, -3289900?\n\"Answer: -s**3 - 2*s**2 + 7*s - 3289760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 72*b - 214. Let s be y(-3). Solve 2458 = -s*g + 2480 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29073780.\nAnswer: 2, 3, 5, 161521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 8. Let k be g(-3). Let v be (2 - (-74)\/k)\/(7\/(-14)). What is the highest common divisor of 297 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -11*c + 40. Let u(l) = l**3 + 2*l + 1. Determine u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -34. Solve -5*m = 4*j + 4, -r*j = -0*m - 3*m + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*b + 209*c = 648*b + 765, -b + 4*c + 57 = 0 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -27*b**2\/2 - 4. Let l(c) = -38687 + 2*c + 38687. Calculate l(u(d)).\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/10 and -71\/3630.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l - 48. Let a = -7458 + 7463. Calculate c(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -32. Let l = 4 + z. Suppose 4*o + 7 = l. Solve d + 4 = 4*r - 1, -3*r = -o*d - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -0.87. Let l = -0.9 + i. Let r = l - -0.04. Which is the second biggest value? (a) -5\/3 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*b*i**3*p**3 + b*i**3*p + 2*b*i**2*p**3 - 3*b*i*p**2 - 21*b*p - 5*i**4 - 2*p**3 wrt i?\nAnswer: 468*b*p**3 + 6*b*p - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -235282, -940750, -2116406, -3762250?\n\"Answer: -235094*b**2 - 186*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/11))**(3\/5)\/(c**(2\/17)\/c**(2\/19)) assuming c is positive.\nAnswer: c**(3656\/17765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -61 (b) 4 (c) 1\/8 (d) -4.5 (e) -1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, c: 5}. Give prob of sequence ccp.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 2*o + 2*o)*((-3 - 4*o + 1 + 3*o)*(5 + 4 - 5) - 7 + 7 - o) to the form g + f*o**3 + w*o + n*o**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 77720*h + 155424.\nAnswer: 4*(h - 19428)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*n + 62*n + 40. What is the second derivative of -13 + 12 - 46*s + 62*s**n - 27*s**5 wrt s?\nAnswer: 700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -52\/69, -0.2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w, -60*w = 5*p - 55*w - 40 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.387913 - -0.012087. Let p = 0.4 - 3.3. What is the second smallest value in p, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1605241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65480, -65440, -65330, -65114, -64756?\n\"Answer: 6*u**3 - u**2 + u - 65486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1213, 2063, 2913, 3763, 4613, 5463?\n\"Answer: 850*d + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/17 + 37\/119. Sort u, 2, -1\/6 in increasing order.\nAnswer: -1\/6, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/63 + 12\/7. Differentiate 4 + s*x - 6*x - 8 + 5 with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/29250 and 31\/1300?\nAnswer: 58500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 3*i)*(-520 + 49*i + 520)*(4*i - 48 + 48).\nAnswer: 196*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**2 + 1\/30*t**5 - 7*t + 0 + 1\/6*t**4 - 4\/3*t**3. Differentiate s(q) wrt q.\nAnswer: 4*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*a = 582*a + 334*a - 9022 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2844\/15)\/(1\/5). Calculate the common denominator of (d\/192)\/((-1)\/(-2)) and 9\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*a - 497 = 71 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 4. Let i be w(-3). Suppose -33 = -2*u - 5*t, -u - 3*t + i*t = -9. Is 2*16 + (u - 6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953 rounded to the nearest 10?\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 37. Suppose 19*k - 17*k - 70 = w. Suppose -4*d = -3*m - k, -4*m - 8 = -4. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*w - 8*w - 2 - w**3 - 8*w - 9*w - 6*w as d*w**2 + r*w**3 + a*w + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 17 - 49. Let z be ((-27)\/(-6) - 1)\/((-2)\/(-12)). Let a be (-3)\/2*56\/z. Sort a, b, 3\/2, -5\/4 in decreasing order.\nAnswer: b, 3\/2, -5\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69000907 and 28052.\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 7*u + 8. Let l(h) = -h**2 + 4*h + 13. Let c be l(6). Let r be (1 - 1)*c\/(-2). Suppose r = q - 18 + 12. What is a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/5 + 26\/5. Let s be 1\/(-3) + 26\/24. Which is the closest to -2? (a) i (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - k - 40, -3*k + 5 = c - 1. Suppose 3 = -2*q + 43. What is the remainder when c\/(-12)*(-152)\/6 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, r: 3, g: 3, q: 1, p: 3}. What is prob of sequence jpp?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 + 4. Let a(j) = 15*j**2 - 9. Let g(l) = 4*a(l) + 9*n(l). Let u(t) be the third derivative of -t**4\/12 - t**2. Determine u(g(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16903602 or 16903600?\nAnswer: 16903602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/5)*w*w**(-1\/10)*w**14\/(w\/(w\/(w*w**(2\/11)))*w) assuming w is positive.\nAnswer: w**(271\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 405. Let g be z(102). Solve -g = -9*l + 12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 84*d**3 - 224*d**2 - 144*d.\nAnswer: -4*d*(d + 1)*(d + 2)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 145, 170?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38759 + 31391 = -1525*w for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -3835 in decreasing order.\nAnswer: 4, 1, -3835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 9*z**2 + 4*z - 11. Let w = 233 + -238. Determine m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:37 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150154 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 595.\nAnswer: -2\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2150.8 - -2445. Let a = g - 2.2. Let j = 290.67 - a. What is j rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 5, -3\/287, -7?\nAnswer: -3\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -2, -5, -1 in decreasing order.\nAnswer: 37, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/8)\/((-31)\/(-186)))\/(3\/2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -11*k**6\/15 - 10*k**2 - 24*k. What is the derivative of h(r) wrt r?\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4*z**2 + 2*z - 1. Let k be p(-3). Suppose a - w - 20 = 2*a, 2*a - k*w = -44. What are the prime factors of (-3)\/a + (-1286)\/(-14)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:29 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/(i**9*i))\/(i**(-2\/5)*i)**(4\/13))**(-14) assuming i is positive.\nAnswer: i**(11088\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 12) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/15)\/((-18)\/1)*63\/6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isssscsssssscqcsssq. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 3763 - 2*b - b.\nAnswer: -6*b + 3763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-34)))\/g)\/g**(1\/4)*(g**11)**(2\/83))**(-8) assuming g is positive.\nAnswer: g**(23230\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507\/6 - (-8)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2402 + -1586. Suppose -r = -10*m + 2*m. Suppose -18*x + m = -15*x. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/4 + 69*m**3\/4 + 27225*m**2\/4 + 161163*m\/4 + 120285\/2 = 0 for m.\nAnswer: -81, -3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127280*v**2 + 486255*v?\nAnswer: 254560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8810 + -9.3\nAnswer: 8800.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 910, 821, 732, 643, 554?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.089 + -0.361. Let u = k + 10.45679. Round u to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -0.0764.\nAnswer: -13.9236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 2 z when four letters picked without replacement from ecllzlccjclcezzjcczz?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 7166 = 14349 - 7047 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 321.1201 centuries?\nAnswer: 385344.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -425 + -10a3?\nAnswer: -14c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.111463 to 3 dps.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188739 and 608159?\nAnswer: 5473431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:30 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173508463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + s**2 + 0*s**2 + (2*s**2 - 2*s**2 - 2*s**2)*(150 - 74 - 79)*(-3 + 1 + 4))*(4*s + 0*s - 3*s) as l*s**3 + f*s**2 + b + x*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1160)\/5220*(-27)\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36789075 divided by 115?\nAnswer: 319905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2304417 and 0.4.\nAnswer: 921766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -411 - -411. Suppose 2*a + 4 = 14. Suppose 0 = a*i - 2*r + 23, -2*i - r + 2*r - 10 = 0. Sort i, g, 4 in decreasing order.\nAnswer: 4, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5 of a century in decades?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(6*g - 17 + 17)*(11 + 5 - 70).\nAnswer: 648*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2930895735 + 2930895793.80001343. Let i = m + -58.8. Round i to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = -381. Let d = -181 - l. Is d a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*l - 5 = -3*k - 0, 0*k = 3*k - 2*k + 7*l - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2. Let r(t) = -5*t**3 - 5*t**2 + 7*t + 34. Let a be r(-4). Let h(v) = a - 246 + 15*v. Give h(u(d)).\nAnswer: -105*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 176*t**3 + 1309*t**2 + t + 6. List the prime factors of x(-6).\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/126 and -55\/61992.\nAnswer: 61992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f**4 - 3124*f**3 + 4844*f**2 + 36468*f - 16272 = 0.\nAnswer: -113, -3, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**3 - 3*r - 3. Suppose 8*z = -5*z + 39. Let l(y) = -64*y**3 + 40*y + 40. Give z*l(n) + 40*q(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 30. Let t = n - 22. Suppose 2*z - t*z = -92. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/112 - p**6\/16 + 3*p**5\/20 - p**4\/8 - 9*p. What is y in b(y) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/(-24)*(-6)\/32. Let u be 2 + (-4)\/(-4) - 1. Suppose -1\/2*s - q - 1\/4*s**u = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or -1\/3?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d - 108*d - 107*d + 348*d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -30 (b) -8 (c) -0.0535 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.85 + 30.3. Let l = u - -0.45. What is the third smallest value in 18, l, 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 908.93021 + -0.03021. Let l = h - 855. What is l rounded to 0 decimal places?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/50)\/(1\/20). What is the units digit of 522\/q*16\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12832219 is divided by 366634?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55224, -55225, -55226?\n\"Answer: -u - 55223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523505 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2779153 divided by -1\nAnswer: 2779153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 833750624.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 76 - -11231362?\nAnswer: 11231460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-6)\/14 - 0?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -200\/11 (c) -12 (d) 0.2 (e) 0.1 (f) -10.5 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, a: 4, y: 3, v: 2}. What is prob of sequence vb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/18*14 - (-2)\/9. Which is the fourth smallest value? (a) 1\/3 (b) -1 (c) -3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215 + 1197 + 1 + 55?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da (base 15) to base 2.\nAnswer: -11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -1601*x**6\/15 + x**3\/3 + 1635*x**2\/2 + 10882*x. What is the derivative of y(n) wrt n?\nAnswer: -12808*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w - 4 = 0. Let h(n) = -20*n**2 - 32*n - 20. Let a(f) = f**2 + f + 1. Let b(z) = w*h(z) - 24*a(z). Factor b(g).\nAnswer: -4*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 58889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25235685?\nAnswer: 3, 5, 53, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256454?\nAnswer: 2, 11, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87 + 19*l + 87 + (0 - 3 + 1)*(12*l + 88 - 88 + (-2*l - 1 + 1)*(2 - 3 + 0)) + (-l - 1 + 1)*(0 - 1 - 1).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -118, 5, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13104 + 13097 - 14*j - 3*j)*(14 - 14 - 7*j).\nAnswer: 119*j**2 + 49*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 1 = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*g**3 + 56*g**3 + 401*g**3.\nAnswer: 117*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-1020))\/((-168)\/(-224))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.94 + -0.06. Let f = 3 - 1. Which is the third smallest value? (a) f (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1584)*-5 - ((sqrt(1584) + -5)*-5)**2) + 1.\nAnswer: -40224 + 2820*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 28064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 104. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.91 and -10.\nAnswer: -189.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.81791651 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + -20. Let r = i - -39. Which is greater: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265\/2 + -127. Do r and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26160.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -446 + 550. Is 2\/27 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Suppose 3*s - h - 25 = 0, h - 2*h = -5. Suppose 4 = 6*a + s. What is the closest to a in 3\/2, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - (-1*sqrt(320) + 0)) + sqrt(320) + sqrt(320)*1 + 2)*1 + (sqrt(320) + -2*sqrt(320))*4 + 4*sqrt(320)*1)**2.\nAnswer: 128*sqrt(5) + 5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 18 = 3. What is the units digit of ((-24)\/36)\/(2\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/806923 and 79\/2?\nAnswer: 1613846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + -261705312?\nAnswer: -261705314.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175693 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84bb15 - 2?\nAnswer: -84bb17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2862 is divided by 128.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-13)\/(-5) + -2. Let d = 0.12 + 1.88. Let f = 0.4 + -0.4. Which is the closest to f? (a) i (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -7*m - 65. Let g(k) = 3*k - 11 + m - 4 - 4*k - 2. Let x(t) = -3*t. Calculate x(g(j)).\nAnswer: 3*j + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5118*m**3 - 3 + 1258*m**3 + 3.\nAnswer: -3860*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.82505 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8772, 8779, 8786?\nAnswer: 8793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 1273*n**3 + 13*n**2 - 27*n**2 - 1608*n**3 + 12*n**2.\nAnswer: -2881*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkwyckykyvykvy. What is prob of picking 1 w, 1 v, and 1 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 229 = 3*d. Let m(b) = -94*b - 9386. What is the remainder when d is divided by m(-100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*b - 32 = 0, -b - 4 = 4*l + b. Let i be -1 - -2 - (l - -4). Suppose -z - 2 + 3 = i. Which is smaller: z or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9790209 microseconds in milliseconds?\nAnswer: 0.0009790209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218079 by -5319.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17192*v - 17002*v - 16530 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-4) + 40\/(-32). Suppose 4 = 5*r - 2*c + f, -4*r = c - 5. Let s = -4\/27 - -160\/351. Are r and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166 + -158. Suppose 28 = -o*v + 9*v - 5*z, -5*z - 19 = 2*v. Solve f - 2*c = -0*f + 13, -f - v*c - 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, 0, 905 in decreasing order.\nAnswer: 905, 28, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 43*f**2 + 3*f - 9. Let d be k(4). Let i = -1031 + d. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*a - w - 2, -a = -3*w + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/666 and 43\/598956?\nAnswer: 1796868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzhnyhhvynyvvhvnnhnv. What is prob of picking 2 h?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 336.8 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-130))\/(2\/(-4)). Which is smaller: -14 or y?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520 + 8*w + 6*w - 108 - 8*w)*(0 + 0 + w)*(4 - 4 - 3*w).\nAnswer: -18*w**3 - 1236*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 937 - 1315. Let n = q + 377. Which is the smallest value? (a) n (b) 0.3 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - (-7160)\/24. Let g = b + -78. Let q = 36 - 16. What is the greatest common factor of g and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 6*l**2 + 2\/15*l**5 + 1\/8*l**4 - 3\/2*l**3 + 0 + 0*l + 1\/120*l**6. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, 7, 1.\nAnswer: 1, 4, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + 365*c**2 + 4*c - 6. Let s(j) = 12*j**3 + 1461*j**2 + 18*j - 27. Let x(b) = 9*r(b) - 2*s(b). Suppose x(v) = 0. Calculate v.\nAnswer: -121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71419*x = 3*r + 71424*x + 2, 0 = -5*r - 4*x + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061109 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -17, -16 in increasing order.\nAnswer: -17, -16, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**3 - j**3 - 4*j**3 + 2*j**2 - 2*j**2 - j**3 + j**3 + j**3 + 2*j**3 + (4 - 3 + 1)*(4*j**3 - 5*j**3 + 2*j**3) + 169*j**3 - 8*j**3 + 55*j**3.\nAnswer: 222*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -822604\nAnswer: 5\/822604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3989 + 3026 - 1510 + 8672 - 1 + 4 - 2 + (2 - 3 + 2)*(-6 + 3 + 4))*(0*n + 3*n - n).\nAnswer: 28358*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-2*3\/4). Is 2083\/4 - (-3)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.2 - 27.2. Which is the smallest value? (a) -1.2 (b) 0.5 (c) y (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s - 18*s + 30*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 0 + (3 - 1). Is p\/12 - (-6639)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -79 + 67. Let w(c) = c + 9. Let m be w(q). Solve -a + 0 + 3 = s, 0 = 4*a - m*s - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*q + 8236 = -10*q - 2322 - 4229 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/4200421 or 0?\nAnswer: 5\/4200421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 24*g**2 + 2*g - 9. Let w be z(24). Calculate the greatest common divisor of 260 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 1. Let u(g) = -18*g**2 + 6*g - 5. Let d(w) = 6*n(w) + u(w). Determine d(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 7855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (13 + 0 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yykhhhhtfhyfhkf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 10:36 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w**2 - 102*w - 92*w + 288*w + 196*w**2 - 116*w as i*w + d + x*w**2 and give x.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 - 57*k + 53*k + 3*k**4 + (4*k**2 - 5*k**2 - k**2)*(-4*k**2 + 0*k**2 + 5*k**2).\nAnswer: 3*k**4 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (28\/1008*-8)\/((-120)\/(-80))\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -24. Let g = -17 + 28. Let c = b - g. Solve 27 - 11 = c*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374697347.\nAnswer: 19, 23, 857431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by -18.\nAnswer: 133\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**6*d))\/d)\/(d\/d**(-2\/7))*d**(-1\/3)\/(d\/d**(-6)))**(1\/29) assuming d is positive.\nAnswer: d**(-349\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6090\/280 + ((-45)\/4)\/15\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:39 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 4399*z + 5*z**3 - 169*z**2 - 4398*z - 3*z**4 + 5*z**4 + 0*z**4 in the form n*z + d*z**4 + q + t*z**3 + x*z**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**7\/14 + x**4\/3 - 15*x**2. Find the second derivative of n(y) wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*s + 9, s - 4*k - 3 = -15. Let x = 2 - s. Suppose -i - 6 = l, -i - 26 = x*i + l. Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22668 by -10.\nAnswer: -11334\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(2 - 4 + 2*l**2 - 2).\nAnswer: -6*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 15 = 7*v, 3*b = -22*v + 51 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*t + 18*t - 43*t - 50)*(3*t**2 - t**2 - t**2 + (-3*t + 6*t - t)*(-2*t + 1 - 1)).\nAnswer: -3*t**3 + 150*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10079\/4 or -2519?\nAnswer: -10079\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 9*p - 19 + 105*p**2 + 19.\nAnswer: 105*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1 + 2*x)*(0 + 0 - x)*(x**3 + 10*x**3 - 2*x**3).\nAnswer: -18*x**5 - 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140\/149 - 2003\/8493. Find the common denominator of 83\/4 and m.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 + 32*y - 5. Let g(a) = -2*a**2 + 16*a - 3. Let n(h) = 3*f(h) - 5*g(h). Find the second derivative of n(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 15*k + 8*k - 27*k + 8*k. Let q(j) = -3*j**3 - 9*j. Calculate -4*q(t) - 9*r(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**3 - i**3 + 3*i**3 - 5*i**3 - 9*i**3 - 25*i**3 + (i**2 - 3*i**2 + i**2)*(i + 4*i - 6*i).\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2368 and 13\/52688.\nAnswer: 210752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108193 is divided by 111?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6556)\/19668)\/((2\/(-666))\/(-1))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19)\/t*t)**17*t**0*(t*t**(-2\/19)\/t)\/t assuming t is positive.\nAnswer: t**(13\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = 3*x + 5*i, -300*i = -4*x + 314*i - 612*i - 72 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9074 > -9074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4340 (base 7) to base 13\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 11*c**2 + 8*c + 10. Let k be r(-10). Suppose 3*y + 5*b - 19 = k, 0 = 4*y - b - 27. Is (-8)\/32 + 2426\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -c - 14, 3250*c - 1633*c - 7 = 3*x + 1622*c for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/5)\/((-4)\/20). Let x = 17 - y. Sort -4, x, 1.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602419279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-2\/9)))\/(x**1\/x))\/(x**(-12\/11)\/x**11))**(-3\/8) assuming x is positive.\nAnswer: x**(-1219\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 - -273. Let h = 0.042 + -0.042. Which is the biggest value? (a) 23 (b) h (c) -1\/4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9*(-12)\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.08 (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -261057\/14 + 18647. Which is the closest to 0.2? (a) -0.9 (b) 5 (c) f (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:55 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 - f**2 + 2*f**2)*(30*f**2 + 42*f**2 + 21*f**2).\nAnswer: -372*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(24\/(-30)) + (-1)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i*i**(-6))*i)*i**(-10\/9)*i\/((i*i\/(i*i**(-1\/5))*i)\/i*i)*i**6)**(1\/14) assuming i is positive.\nAnswer: i**(-97\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (135 - -11) + -63\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 5) to base 2.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 171 = -3*d + 261, -4*d + 4*l + 604 = 0. Factor 105*v**3 + 38*v**3 + 264*v**2 + d*v + 28*v + 5*v**3 + 28*v**4 + 32.\nAnswer: 4*(v + 1)*(v + 2)**2*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -188\/5, 8\/21, 27 in descending order.\nAnswer: 27, 8\/21, -1, -188\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10496707 divided by 2951?\nAnswer: 3557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -280*h - 3*h**2 + 280*h. Let v(j) = -j. What is q(v(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-6 - -1 - -4. Let l be -1 + 2 - (-2)\/(2 + j). What are the prime factors of 39\/(11 - 8 - (l - 1))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -4. Let x = 187 + -939\/5. Which is the closest to k? (a) 0.5 (b) -2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 5188596?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) 0.2 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -532109243058365264 - -532109236965759794.29999346. Let i = z + 6092605399. Let s = 70.7 + i. What is s rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -444*z**2 + 2*z - 1. Let o(d) = 3551*d**2 - 17*d + 9. Let t(x) = -6*o(x) - 51*w(x). Is t(1) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529801 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000178693716 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584406763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16937332.8999993 - 16937334. Let s = u + 1.1. What is s rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 10:33 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1865253472 to the nearest integer?\nAnswer: 43189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from {m: 2, g: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*v - 600 = 0, 7*v = 2*r + 5*v - 240. Calculate the common denominator of 3 + 0 - (-111)\/(-24) and (-338)\/r - 4\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333, -674, -1015, -1356?\n\"Answer: -341*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39792 - -1b?\nAnswer: -39775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 10 = 0. Let l = -17\/752 - -4\/47. Calculate the common denominator of l and 45\/7 + (10\/4 - m).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 12:06 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*y = 3*b + 430*y + 31, 5*b + 3*y = -37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1\/(-1) - -71)*(-30)\/(-300)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -35*v + 1454. What is q(-50)?\nAnswer: 3204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 37, 67, 99?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59814455 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 3033?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. What is the first derivative of u**3 - 2 - b - 1 + 4 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 2. Let c = j + 5. Let p = c - -9. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0553, 1\/11, 2\/19, -914?\nAnswer: 0.0553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162 times 0.2?\nAnswer: 0.00324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*-2 - sqrt(85))*6*-1)\/(sqrt(50)\/((sqrt(10) - sqrt(40)\/sqrt(4)) + sqrt(10)) + -1*sqrt(5)*-5))**2 + -2.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/((-1)\/12). Suppose -4*y = -q*f + 20, -2*f + 1 + 5 = y. Calculate the highest common divisor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let g be (-18)\/27 - (-14)\/3. Suppose -g = 4*c, z + 3*c - 5 = -3. Solve r = -2*s - 3*s + z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from {t: 1, s: 3, g: 3, h: 2, k: 1, n: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6)*(-1 + 5). Suppose -59 = -5*o - i*j, -j + 3*j = o - 7. Let x = 15 - o. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 292\/(-36) + (-54)\/(-9) and -89\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/5 - 3*c**3\/2 + 7*c. Find the second derivative of a(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -1 + 0 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22688, 29378, 36068, 42758?\n\"Answer: 6690*j + 15998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 2\/3, 4, -4\/5, 0 in increasing order.\nAnswer: -4\/5, 0, 2\/3, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1.17342, -1\/2 in descending order.\nAnswer: 1.17342, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 774283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 845 from -135.\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6461184809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*w - 161*w + 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 21984*x**2 + 29215488*x + 2743932928.\nAnswer: 4*(x - 2792)**2*(x + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.2, -224035, -2\/9?\nAnswer: -224035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2715, -2695, -2675, -2655, -2635, -2615?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/13 + -127\/52. Is 2 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9592 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1071)\/(-119)*(-1)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = -m + 2*k, -m + 3*k = -6. Suppose 0 = -0*w - m*w + 9. Suppose 2 + 4 = -x - w*z, -5*z - 8 = 2*x. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, z: 2, e: 3, w: 5, d: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 + 502. Let r = 816 - q. Suppose -4*p - 28 + r = 0. What is the highest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -2056\/7 in decreasing order.\nAnswer: 11, 0, -2056\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4182 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Let b = 10 - 6. Solve w - 3*t + 4 = 7, -b = -2*w + k*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1692255781 to the nearest integer?\nAnswer: 41137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -37\/890 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 276, 1043, 2530, 4977, 8624, 13711?\nAnswer: 20478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 94.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3, -11*c = -5*z - 12*c + 511. Calculate the least common multiple of 20 and z.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3050*n**2 - 3049*n**2 + 29 - 34 - 11*n wrt n.\nAnswer: 2*n - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 8:56 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -43. Let x = 15 + j. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56955 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70196 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.3028 take away 125?\nAnswer: -157.3028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (98\/6)\/((-5)\/15). Is (0 - 6)\/(14\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/3, 3.8, -4, -0.16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33206 is divided by 231.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:09 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 5*v**3 + 16)*(-15*v + 3762 - 3759 + v) in the form m*v**3 + j*v**2 + r*v + o + z*v**4 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 - -437. Let h = s - 188. Let o = -7 - -5. What is the smallest value in 2, -3\/4, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -1. Let f = 1.834 + 0.166. Let h = 24 + -218\/9. Which is the closest to q? (a) h (b) 1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 383 - 380. Solve 0*p + 5*i - 15 = -p, 0 = -c*i + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5228*b**4*v**2 - 2*b**2*v**2 - 268*v**2 + 5*v + 1 wrt b?\nAnswer: -20912*b**3*v**2 - 4*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let i be 46\/115*(4 - -1). Let r(t) = -868*t**2 - 63*t. Let v(p) = 28*p**2 + 2*p. Let n(f) = i*r(f) + 63*v(f). Determine k(n(q)).\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 216 = -0*j. Let y = -20 - j. What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f = -35*f + 172. Let a = 56 - f. What is the remainder when 36 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - 624991*p**4 + 2*p**2 + 509143.\nAnswer: 60*p**2 - 14999784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 616142796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 - 8*s**3\/3 + 3*s**2\/2 + 7*s + 1. Let k be (-12)\/1 - 7*(-4)\/7. Determine m(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-11\/2))\/w**(4\/13))**14 assuming w is positive.\nAnswer: w**(1127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 103, 0, 5, 7, -24 in descending order.\nAnswer: 103, 7, 5, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 418.82 + -60.92. Let p = b + -358. What is the closest to -6 in -2\/3, p, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218544.5139 rounded to the nearest ten?\nAnswer: 218540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - 2*c**4 - 2*c**3 + 0*c**4 + (2*c**3 + c**2 - c**2)*(0*c - 2*c - 2*c).\nAnswer: -10*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -468 + 0.18\nAnswer: -467.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/1 + (-4063)\/204. Let y(n) be the second derivative of 0*n**2 + 0 - q*n**6 - 1\/6*n**3 - 1\/24*n**4 + 35*n + 1\/5*n**5. Suppose y(r) = 0. What is r?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546365 and 11799.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 5*i**2 + 47*i + 3. Let y(f) = -f**3 - f**2 - f - 1. Give p(s) + 4*y(s).\nAnswer: -2*s**3 + s**2 + 43*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*z + 18, k = -z + 2*z - 3. Let w(c) = -4*c + 4. Calculate the least common multiple of ((-56)\/32)\/((-10)\/40) and w(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31145734*c**2 + 6*c - 515478 wrt c?\nAnswer: 62291468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -18329, 116, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73.47223l?\nAnswer: 73472.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edndtnneeneeejededde. Give prob of picking 1 t and 1 d.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 23*y**2 - 34*y + 158. Determine p(13).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, f: 10, p: 1}. What is prob of picking 1 p and 1 u?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 54, 72, 90, 108?\n\"Answer: 18*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10167462 and 30.\nAnswer: 50837310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52672723 is divided by 17557572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -1.9 (c) 37 (d) -3 (e) -7 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 2*w**2 + 2*w**2 - 5*w**2 + 7*w**2 - 6*w**2 + (-7*w**2 + 3*w**2 + 2*w**2)*(1 - 3 + 3) - 6*w**2 + 2*w**2 + 3*w**2 - 13*w**2 + 4*w**2 - 3*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2540*l - 201395 = 1938*l - 67055 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 1044*i + 8303. What is the remainder when 148 is divided by h(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/13)\/d*d**0 assuming d is positive.\nAnswer: d**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 268, 379, 506, 655, 832, 1043?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 5*t + 12 = 0, -4*t = 0. Let f = -1 - 2. Let h = f - -9. Solve -a*q - h = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295469409.\nAnswer: 13, 257, 387749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/7 + 68588*n**2\/7 - 587902018*n\/7 - 2352705608\/7 = 0.\nAnswer: -4, 17149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 270850732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10. Let l(f) = 8*f + 3*f**3 - j - 5*f**3 - 10*f**2 + 3*f**2 + 3*f**3. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 + -264. Solve 2*k - 4*t = -22, i*t - 15 - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7900 - -3767. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4 = 6*y. Let a(p) = p - 17. Let d(w) = -5*w + 86. Let z(t) = y*d(t) + 11*a(t). Give z(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llt when three letters picked without replacement from {e: 3, l: 7, t: 3}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/2367648 and -31\/1088.\nAnswer: 80500032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(18\/11)\/(w\/(w\/(w\/w**33)))*(w\/(w**(-9\/8)\/w*w))\/w**19 assuming w is positive.\nAnswer: w**(1475\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - (75\/5 + 30859). What is i rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22113388 - -46.501\nAnswer: -22113341.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 b when four letters picked without replacement from {e: 3, b: 1, o: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.06 - 0.06. Let f = 14.86 - k. Which is the closest to f? (a) -5\/6 (b) -2\/7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 635*h**3 - 2595*h**2 - 3265*h - 1310.\nAnswer: 5*(h - 131)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:15 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595345021 to the nearest integer?\nAnswer: 24400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3, 4, 317?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110011101000101100 (base 2) in base 8?\nAnswer: 1635054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -53\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(1100)*1 + ((sqrt(1100)*3 - sqrt(1100)) + 2)**2.\nAnswer: 90*sqrt(11) + 4405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -111056, 0?\nAnswer: -111056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34 and 19592.24.\nAnswer: 19558.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n - 24. Suppose 0 = -2*p - 2*j + 14, 4*p - 3*j + 2*j = 43. Calculate the remainder when ((-38)\/n)\/(1\/4) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -6*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 162*p**2. Let h(b) = -2*b + 6. What is w(h(f))?\nAnswer: 648*f**2 - 3888*f + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14511528 divided by -508?\nAnswer: -28566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(200) + sqrt(200) + (-3*sqrt(200) - sqrt(200))*-2 - (2*sqrt(200)*-3*-2 + 2)) + -4.\nAnswer: -40*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18.85 * -26.8\nAnswer: -505.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/1)\/2 + (-14)\/(196\/42). Solve -5*i = d - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*b - 4*b = 3128, 3*b = -5*w + 3893. List the prime factors of w.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 9*k + 23. What is the least common multiple of r(4) and 12\/(-8) + 4 - 6\/(-4)?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*g**2 + 2543 wrt g?\nAnswer: 224*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4939, -401.\nAnswer: -401, -1, 4939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/63*-327 - 4. Which is smaller: x or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 3*y + 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -5*u, i - 8 = -0*u - 3*u. Suppose -5*y + u*n = -1583, -5*y + 1610 = 5*n - 0*n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 324?\nAnswer: 1\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -3*z - 20. Let q(f) = 9*f - 4. Calculate the remainder when (z*1 + 2)*1 is divided by q(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 78 = -23*w. Sort -12, w, 2.\nAnswer: -12, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 - 2160*q**3 + 26465*q**2 - 77700*q = 0 for q.\nAnswer: -444, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7262*w - 5534 + 5534.\nAnswer: 7262*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**4 - 36*i**3 - 90*i wrt i.\nAnswer: 48*i**2 - 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/24 - v**3\/3 + 2*v**2. Let i be q(6). Differentiate -l**3 + l**2 + i*l**3 + 1 - l**2 with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*a = -0*a + 1, -3*l + 3*a + 6 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8 - 4. Suppose -s = 7*g - 6*g. Let d = -0.435 + -0.065. Which is the second biggest value? (a) g (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 183195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 4, -42 in decreasing order.\nAnswer: 22, 4, 3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l*(l*l**7*l*l)\/l)\/l*l**(5\/4)*(l**(-2\/13)*l)\/(l\/(l**1\/l*l*l*l)) assuming l is positive.\nAnswer: l**(785\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x**2 + 138*x - 111. What is p(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527 - 147 = 257*i - 238*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 354*q**4 + q**3 - 2079*q + 11. Let g(f) = 71*f**4 - 416*f + 2. Let r(h) = 11*g(h) - 2*v(h). Find the second derivative of r(a) wrt a.\nAnswer: 876*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21014729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0 + 3. Let q = 24 - 34. Let b be 3\/6 + q\/36. Is b at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 104 = 4*l, m - 4*l = -3*m - 80. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*u**5 - 103633*u**2 + 7880433*u?\nAnswer: -1460*u**3 - 207266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 12943674?\nAnswer: 12943673.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6624985.8 to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 - -143 - (-22)\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8*y + 1266. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24472 divided by -7?\nAnswer: -3496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (135\/10 + -17 + 6)*(-1 - -5). Solve 5*t + 4*z = 16, 3*t - y*z + 11*z - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -2*sqrt(132)) + sqrt(33))\/(4*(sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4))))).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 1, 2, -15, 3, -14 in descending order.\nAnswer: 3, 2, 1, -14, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.5. Let a = -38 - -37.92. Let q = 4.08 + a. What is the second biggest value in q, z, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-40))\/(2\/20))\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4422 greater than or equal to 13.1032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-50)\/(-8))*5. Suppose -4*o + s = -65, -o + 0*s + 12 = w*s. Solve -k + 2*x = 4*x + 1, -2*k - o = -3*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ryymmgy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 4*j + 21324 = 19*p, 3*p = 4*j + 8009. What are the prime factors of p?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r + 2*x, -2*x - 24 = 4*r + 3*x. Is 16 a factor of r + (1 - -681) + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*a - 2*a - 304, 5*t = -5*a + 560. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) -5 (c) 1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a7 - 138c4?\nAnswer: -1399b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 + 4638*x - 258103. What is s(-566)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*c - 102 + 0 = 843*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -796136.2 * 2.\nAnswer: -1592272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 10. What is the tens digit of o(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5582 less than or equal to 10897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = -2*t - 2*f, 0 = 3*t + 3*f + 6. Let v = t - 1. Suppose v = 4*j + 4*i - 36, 2*j + 0*i - 13 = 3*i. Calculate the lowest common multiple of 6 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72705 and 882?\nAnswer: 71823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -1255, -2827, -5039, -7897?\nAnswer: -11407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 95*n**2 + 12*n - 6. Let x(z) = -190*z**2 - 21*z + 11. Determine 7*k(l) + 4*x(l).\nAnswer: -95*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/40)\/(27\/(-1452)). Let x = w + 17\/9. Which is the closest to 0? (a) x (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5, 8, 4, 34, -2 in descending order.\nAnswer: 34, 8, 5, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1 - 9*w - 6 + w - w**2. Let x = 332 + -339. Let q be g(x). Which is the nearest to 1? (a) -5 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00116371875 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 + 277 + 297 + 6*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 70, 1.1, -3, 5, 1, 0.03457?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*b + 15*b + 31 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1409796591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -293.06946 to 0 dps.\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727483860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 23*j**2 - 103*j + 37. Let n be s(17). Solve -3*g - 17 = 2*q, -4*g - 159*q = -157*q + n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -27. Solve -l*z = -z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.9. Let x = -3 + 2.8. Let f = x - -0.1. Sort f, s, -5.\nAnswer: -5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**11\/g)\/g*g*g**(2\/5))\/(g**(-1\/5)\/((g\/((g*g\/g**(-3\/2)*g)\/g))\/g*g*g*g)))**(-2\/21) assuming g is positive.\nAnswer: g**(-101\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1.3301041.\nAnswer: 5.3204164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 28757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 79. Suppose 2*h + 2*d - t = 0, -3*d + 34 = -0*h + h. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3 = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009 * -0.42597.\nAnswer: 0.00383373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (1 + sqrt(128) + -5)) + (sqrt(128) - (sqrt(128) + 0 + -1 + sqrt(128))))**2*5.\nAnswer: -400*sqrt(2) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/20 - i**5\/6 + 5*i**4\/12 - 2*i**3 + 57*i**2. Does 6 divide c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 9*c - 27. Determine l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7351, 7348, 7351, 7360, 7375, 7396?\n\"Answer: 3*a**2 - 12*a + 7360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 21. Let c be v(-11). Suppose c + 1 = 2*p. Put 2, p, -9 in increasing order.\nAnswer: -9, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2273 (base 12) in base 4?\nAnswer: -323313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u - 11 - 16*u**2 - 5*u**2 + 9.\nAnswer: -21*u**2 + 44*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -z + 11, -3*z + 3*x + 41 = x. Calculate the lowest common multiple of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2111175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 51 = -8*g. Suppose 1724 + 1432 = g*k. Suppose -442 = -3*j - 2*h, j + k = 3*j - 5*h. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 81, 182, 323?\n\"Answer: 20*l**2 + l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**2 - 7*b + 48*b**2 - 9*b**3.\nAnswer: -9*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*f + 8*f + 27*f)*(2*f - f - 3*f)*(-14*f + 77*f + 52*f) in the form t + w*f**3 + s*f + o*f**2 and give w.\nAnswer: -5750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*q - 598 - 230 + 828 + 205*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 94*n - 338059 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 47 = -98 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2 + 0 + sqrt(98) + sqrt(98) + 4*(sqrt(98) + 4))*2 + -2))**2*6.\nAnswer: 137088*sqrt(2) + 366432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094*p**5 - 3440*p**2.\nAnswer: -65640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and -0.16.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11845 + -2665. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q*q**0)\/q)*q)\/q)**(-46) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -990*r - 4949. Calculate p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 4391282*v - 4820839400881.\nAnswer: -(v - 2195641)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-114))\/(42\/1148).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1264 and 537832?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3362443361 + 1?\nAnswer: 3362443362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23920, 44890, 65860?\nAnswer: 86830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -2624037.\nAnswer: -13120185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5602 rounded to 2 dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/60 and -16\/105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110591, -110584, -110571, -110552?\nAnswer: -110527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/20)\/(4\/(-10)). Let m be -10 + 6 + 0 + p. Let o(b) = b + 8. Let d be o(m). Which is bigger: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-9 - -5 - 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*o - 5*n + 30, o + 5*n - 24 = 0. Suppose -r - o*j - 2091 = 0, -5*j = -7 + 2. What is the units digit of r\/(-9) + 204\/(-54) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7421.446 minutes to nanoseconds.\nAnswer: 445286760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**28)\/(m**(-15)\/m) assuming m is positive.\nAnswer: m**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = -r. Let p = 7 + -3. Suppose -p*m = -2*m - 2. What is the smallest common multiple of m and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -y. Let u be 4\/8 + 7\/y. Suppose -5 = x - u. Which is the third biggest value? (a) -3\/5 (b) -1\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 674 + 1214. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8198303 or 24594911\/3?\nAnswer: 24594911\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n + 5*n + 2*n - 3*n - 2. Let y be u(-4). Suppose 2*h = -0*h. Solve 2*d - 4*o = y, 3*o - 2*o = h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-20) - (-4939)\/110. What is the highest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:15 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.46 + -26.68. Let o = 0.1398 + 0.0864. Let x = o + t. Round x to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-70))\/(39\/2730)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(2\/3)\/g)**(-13))**(-28))**(-34))**(2\/9) assuming g is positive.\nAnswer: g**(-49504\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17134 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 6. Let l be v(-8). Let o = -17 - l. Let n = 30 - 30. Solve n*m - 4*m - 5*y + 20 = 0, -5*m - 5*y = -o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:29 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4 + -1 + (sqrt(180) - (-2*sqrt(180) - sqrt(180))))**2 + (0 + 1 + sqrt(180) + 4)**2).\nAnswer: -9330 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 18\/7, 25, -8\/5, -2, -0.2 in ascending order.\nAnswer: -2, -8\/5, -1\/4, -0.2, 18\/7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 39 = 4*g. List the prime factors of (2\/(-6) - g)\/(3\/7326).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -4 + (-7 - 2 - -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3205 and 476263.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30659 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: Suppose 4*c - 301 = 363. Is 37 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19548281.\nAnswer: 2549, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661781, -1323090, -1984397, -2645702, -3307005, -3968306?\nAnswer: -4629605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 33. Let z be q(-10). Let i(y) = y - 1. Let a(g) = 8*g**2 + 2*g + 8. Let t(k) = a(k) - i(k). What are the prime factors of t(z)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 10*l - 21. Give j(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 53 = -b + 2*y, -10 = -2*y. What is the highest common divisor of 22 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 >= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -9.98. Let g = 9.95 + t. Let m = 0.05 - g. Which is the closest to 1? (a) -0.5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - -5.5. Let d = b - 13. Let r = d - -4.9. Put r, -1, -2\/3 in ascending order.\nAnswer: -1, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*q**2 + 700928\/7 - 2368\/7*q = 0. What is q?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(125)*-2 + -5)**2 + 1)*-1.\nAnswer: -517 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16 - 13 - 33 - v + 6 + 3*v. Let p(o) be the second derivative of 13*o + 0*o**2 + 0 - 1\/3*o**3. Give x(p(n)).\nAnswer: -4*n - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 + 28580*f**3 - 1410750*f**2 + 9654940*f - 8272775 = 0. Calculate f.\nAnswer: -5765, 1, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.2193kg in grams?\nAnswer: 33219.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12006803 to the power of 1\/2, to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:52 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-140)*-4)\/((-122)\/4880)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 582*x**2 - x + 143. Let l(z) = 194*z**2 + 47. Let q(h) = -7*l(h) + 2*t(h). Find the second derivative of q(d) wrt d.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 2*o - 16 = 4*p, -4*p - 1 = -o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*0\/(-4 + 0). Suppose y + q*y = 3. Suppose -p - 2*p = y*g - 48, 0 = 3*g + 2*p - 46. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860513542.\nAnswer: 2, 7, 1009, 60917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 730165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4010505515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 = -3*k - 5, -4 = 2*t + 3*k. Let z = -63.608 + 60.608. What is the biggest value in z, -1.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 t, and 1 w when four letters picked without replacement from dtdtwdtdwd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 573 = 541. Let u(j) = 5*j**2 - 40*j + 5. Let r be u(g). Let d(q) = -2*q - 3. Determine d(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144209 - 70455. List the prime factors of r.\nAnswer: 2, 36877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17328 by 6.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.8\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*(-6)\/(-4). Solve -r*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.2 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 6*u**2 + 4*u - 2. Let t be n(-6). Let g(m) = m**2 + m - 1. What is the remainder when (507\/t)\/(6\/(-4)) is divided by g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24896 - 609. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 58, 1 in decreasing order.\nAnswer: 58, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23296, -23325, -23354?\nAnswer: -23383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014995822 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 1 + 9 + (-3 - -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.04 + 7. Let p = 3.04 + u. Which is the nearest to 0? (a) -0.1 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 9:29 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 1, -122964 in descending order.\nAnswer: 83, 1, -122964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - (94 + 47) - (0 + 8 + -1).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 118*a - 8023. Give z(68).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 7*a**5\/60 + 2*a**2. Let v(m) = 2*m**2 + 26268 - 26268. Calculate k(v(z)).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4141 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 4*m. Let b be (-2)\/1*(-47)\/m. Suppose 3*t = 4*t - 3*z - b, -2*t = -z - 74. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 3. Let a be (-242)\/(-66) - (-6)\/(-9). Let d(o) = -13*o + 7. Give a*d(g) + 7*t(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(3\/3))\/(-2). Suppose o*m = m. Suppose m*d + 55 = 5*d. Calculate the least common multiple of d and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**2 - 14*z - 275. What is i(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaeyayaa. Give prob of picking 1 j and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2583*q**3 - q**2 + 299*q - 15?\nAnswer: 15498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 6 - (5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 4*x**2 - 21*x + 6 + 3*x**2. What is the units digit of p(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -1) + (6 - 5). Let l(a) = -53*a + 12. Let j be l(0). Solve w = n - 0*w + 4, h*n + j = 3*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - (-308)\/(-6). Let z = -313\/6 - m. Which is the closest to -1? (a) z (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 63*s + 6. Let w be y(13). Let k = w + 1453. Suppose 0 = -2*n - x + k, -n - n + 2290 = 4*x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 108 = -3*z. Let y be (-268)\/(-469) - 535\/(-7). Let t = y + z. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*r + 4*p, 7*r - 8*r + 10 = p. Suppose 0 = -4*u - r*u. Solve u = -t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 75.987651.\nAnswer: 75.987651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from {e: 4, d: 3, r: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 82*r. Let d(g) = -2729*g**2 - 5*g. Give d(u(q)).\nAnswer: -18349796*q**2 - 410*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1375?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {c: 1, t: 2, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5355 less than -2663675?\nAnswer: -2658320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*m - m - 1, -i = 2. Let p be 10\/(-15) + 4\/(-3). Is 2 a factor of 3 + (-1 - p - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96))\/(sqrt(144)\/sqrt(12)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16352633 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 32. Suppose -4*b = -s - 0. Solve z - 2*z - b = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - 2*n**2 + n + 1. Let r(z) = -33*z**3 - 19*z**2 + 7*z + 58. Let a(i) = 6*d(i) - r(i). Find the second derivative of a(q) wrt q.\nAnswer: 54*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.25, 0, -0.5, 3.\nAnswer: -10.25, -0.5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Suppose r - 4*r + s = 0. Let w = 0.1074 - 4.1074. What is the nearest to 0.1 in r, -1, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003300 - 2?\nAnswer: -2003302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*t - 65 = -19, 2*b = 4*t + 48. What is the highest common factor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 389\/54 or 6?\nAnswer: 389\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.3. Let k = -0.1 + h. Let j be (-2)\/7 + (-155)\/(-175). Which is the nearest to k? (a) j (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 2 - 4*r**2 + 2*r + 6*r + 0*r. Let t = 7 - 5. Give p(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.49 - -16. Let h = -0.01 + o. Which is the second biggest value? (a) h (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*b**3*r**3 - 15*b**3*r**2 - 10*b**2*r**2 - 2*b*r**2 + 2*r**3 wrt r.\nAnswer: 1170*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 2\/5, 2\/3, -2\/3, 40?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121)*4)\/sqrt(11) - (sqrt(121)\/(-3*sqrt(11)) + -5))*-6.\nAnswer: -30 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -6\/7, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1746995, -2\/9, -0.2, 1.5?\nAnswer: 2\/1746995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 43 = -2*w. Solve -1 - 3*z + 2*z**3 - 3*z**2 + z**2 - 12*z**4 + w*z**4 + z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3151 - 1043. Suppose 4*p = -3*u + 3369 + o, 0 = -5*p - 2*u + 6855. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 166, 641, 1402, 2425, 3686, 5161, 6826, 8657?\n\"Answer: -4*u**3 + 167*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5535 and 891.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -121404210 (base 5) to base 9\nAnswer: -1066455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*p + 2*p + 7 + 2*p + 6*p wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 122*y**2 + y + 282*y**2.\nAnswer: 404*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -1310.\nAnswer: 117.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4967?\nAnswer: 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -70, -99, -150, -229, -342, -495?\n\"Answer: -v**3 - 2*v**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.5*1.028229\nAnswer: -3.5988015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 27003.\nAnswer: 4\/27003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*k + 28*k - 67*k + 374 in the form p*k + y and give y.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73199, -73197, -73195?\n\"Answer: 2*a - 73201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03215 - 0.0195?\nAnswer: 0.01265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*p = -3*m + 124, 0 = 3*m + p - 73. Suppose 2*s + 2*s = m. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7799 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-287)\/(-123))\/((-1)\/(-117)). Let m be -3 - (-2 - (37 - -3)). What is the highest common factor of m and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4605 and -29\/282?\nAnswer: 432870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 3096?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*o**3 + 7742*h**2*o - 151*h**2 - 6691*h*o**3 - 263*h*o**2 - 1 wrt h.\nAnswer: 2*o**3 + 15484*o - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 - 409*h**3\/3 - 809*h**2 - 1209*h.\nAnswer: -h*(h + 3)**2*(h + 403)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 1 + (-60)\/(-6). Suppose 2*t - t + 3*x - 17 = 0, y = t + 2*x. Find the first derivative of 12 - 3*c**t + c**2 - 5 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h - u + 59, 0 = -3*h + u + 177. Let v = 83 - h. Suppose -5*k + 32 = -8. What is the greatest common divisor of v and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 169a?\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(3\/(-1) - -4). Suppose -x + 4*m + 3 = q, -x - m = -0*x - 23. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/5, 636, 0, 4 in increasing order.\nAnswer: -2\/5, 0, 0.2, 4, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-945)\/(-81)*(-6)\/(-14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3318*m**2 + 9*m - 9*m.\nAnswer: -3318*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -270, -311, -378, -477, -614?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88377.18 litres in millilitres?\nAnswer: 88377180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1370 - 638. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200))**2*-2.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j + 4. Let w be (0\/(-1 + -5))\/j. Factor w + 1\/3*r**3 + 2\/3*r**2 + 1\/3*r.\nAnswer: r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 656396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2, -1, 2, -430, 9, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 16454 (b) 20 (c) 4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8162, -16326, -24490, -32654?\nAnswer: -40818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6766 - -6766.00014923. Round m to 6 dps.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-44 - 18) + 42).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2499) + 1*(-2*sqrt(2499) - sqrt(2499)) + sqrt(2499))\/(sqrt(135)\/sqrt(5)*-3).\nAnswer: 35*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(21))\/sqrt(3) + sqrt(7))*6.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 1\/588*z**8 - 1\/245*z**7 - 1\/105*z**6 + 0*z**3 + 0 + 1\/42*z**4 + 0*z + 1\/70*z**5 - z**2. Find c such that p(c) = 0.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244782.\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (39 + -16 + -53).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 4*q + 1. Let j be m(-3). Suppose -2*y - j*w = -72, -3*y + 2*w + 204 = 2*y. Calculate the greatest common factor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 - 2562 = -266*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -82. Let f(m) = -16*m**2 + 2 + p*m**2 + 10*m**2 + 3*m. Calculate f(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -12. Let g = p + -41. Suppose -230 = -2*h + 2*a, h - g*a - 133 = -8*a. Is h a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1934.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 18, -1\/10, -5, -39\/2, 0.4, -2, -53?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 11*y - 12*y - 11*y in the form k*y + g and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.1 times 347?\nAnswer: 89907.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3958 by -3.\nAnswer: 3958\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(7\/4))\/o*o**(-16))**(-3\/20) assuming o is positive.\nAnswer: o**(159\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, -6\/7, 0.2, -58, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*i - 5, -2*u = -11*i + 9*i - 2. Solve w + 3 = -u*x - 5*x, 5*x + 4*w = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 9*g + 25*g - 2 + 2*g + 2 + (2 - 2 + 2*g)*(-1 + 3 + 0) - 4*g - g + 3*g)*(-2 + 1 + 0) as p + z*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 + 0 + 0 + 14*x**3 - x**2.\nAnswer: -2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/18 + (-219)\/(-27). Suppose -4*l + 29 = -3*t - 11, 50 = 5*l + 5*t. Solve 3*o = u - l, 2*u - 4*o - c = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 7*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8817, 14535, 20253, 25971?\n\"Answer: 5718*k + 3099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -2. Suppose 5*z - 2 = -5*c - j, -z = 4*c - 11. Let g(n) = n**3 + 6*n**2 + 6*n + 6. What is the units digit of g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59471.847s?\nAnswer: 16.5199575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3353502, 3353489, 3353476, 3353463, 3353450, 3353437?\n\"Answer: -13*o + 3353515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/5 + 99*y**3\/5 - 171*y**2\/5 - 3795*y + 19044\/5 = 0. Calculate y.\nAnswer: -23, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 1. Let l(h) = -5*h**2 + 20*h - 20. Let d(j) = -j**3 + 21*j**2 - 41*j + 52. Let k be d(19). What is k*l(x) + 100*v(x)?\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 65*v + 164. Let m be u(32). What is the greatest common factor of m and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78521467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25060 is divided by 6080.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -0.18\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 15 = -8*d + 13*d, -1 = 2*z - 4*d - 9 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 45*x + 114*x - 55*x + 0.\nAnswer: 14*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 9677601.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 553\/4)\/((-9)\/14004 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102318952 and 132848?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 - 7*g**2 + 2*g**2)*(-g - 2 - 2*g + 5 + (4*g - 3*g + g)*(3 - 1 - 3) + 3*g - 2*g - 3*g + 2 - g + g + g).\nAnswer: 78*g**3 - 65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l + 53 - 53. Let t(d) = -2*d. What is t(u(j))?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 358 + 0.89\nAnswer: 358.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -574 (base 9) to base 5.\nAnswer: -3342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/35)\/((-6)\/(-20)). Suppose 7582 - 978 = g*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:06 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5 - 125700*r**4 + 1317335823*r**3 - 13162801470*r**2 + 21057265200*r = 0. What is r?\nAnswer: 0, 2, 8, 20945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060834181.\nAnswer: 11, 29, 251, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/25)\/(6\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 10*r - 1. What is l(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (207*s**2 + 295*s - 295*s)*(-35*s**2 + 40*s**2 - 5*s + 15*s) in the form t*s**2 + b*s**3 + k + p*s + g*s**4 and give g.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (-4 - -2)) + -4. Suppose -4*h + 2*s + 62 = 0, -a*s - 59 = h - 5*h. Calculate the remainder when 29 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -35, -65, -95, -125?\n\"Answer: -30*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 606\/1414*5*7\/(-35)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6653305 + 5?\nAnswer: 6653313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3474*o - 3474*o - 14*o**2 + 16*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -27*f**3 + f**2 + 3*f - 2. Is d(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 1087873695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 - 156. Suppose j*x - 123 = -3. What is the remainder when 35 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 3*t**5\/50 - 8*t**4\/15 - 11*t**3\/5 - 14*t**2\/5 - 59*t. Factor h(n).\nAnswer: 2*(n - 7)*(n + 1)*(3*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 + l + 2. Let b(x) = x + 4. Let c be b(-1). Suppose 5*q + 17 + c = 0. What is g(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.559999889. Round p to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(637) + -2 + (4*(sqrt(637) - (sqrt(637) + 0)**2) - 3*sqrt(637)*2) + -3 + -5 + 5.\nAnswer: -2555 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9910 by 1357.\nAnswer: -9910\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -1885.9, 10 in increasing order.\nAnswer: -1885.9, -1, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/11, 5.28306, -5 in increasing order.\nAnswer: -8, -5, 2\/11, 5.28306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4, -5*z + 109 - 32 = -2*s. Let m be (-25)\/(-9) - s\/162. Solve -m*w - w + 5*y = -15, -5*w - 5*y + 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 2\/3 (c) 1 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2080 divided by 416\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*f - 4*c, 4*c - 10 - 2 = -2*f. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71462525?\nAnswer: 5, 29, 241, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48478467 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*w = -578*w - 75. Is w at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Let z = -510 + 1531\/3. What is the fourth biggest value in 5, z, 3, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -1828, -2728, -3608, -4462, -5284, -6068?\nAnswer: -6808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*c + 1075, -3*o - 5*c = -2*o - 325. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73048 and 4623.\nAnswer: 14682648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 r when four letters picked without replacement from {r: 4, l: 2, n: 10}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a + 16. Let c(s) = -11*s + 17. Let v(d) = -6*b(d) + 5*c(d). Let m be v(5). Solve -m + 28 - 14 + 3*i**2 + 3*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -465937*f + 466038*f + 210 = -4739 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqm when three letters picked without replacement from {m: 11, q: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56\/3 - -19. Let p = 1229 + -6222\/5. Let i = p - -15. Sort 4, i, c in increasing order.\nAnswer: i, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-450))\/(3\/(-9)*1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c - 28*c - c.\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6*u - 5*w - 145, 0 = -3*u - w + 104. Factor -u*h**2 + 34*h - 74*h + 35*h.\nAnswer: -5*h*(7*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -255, -254, -253, -252, -251, -250?\n\"Answer: w - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 373 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-4 + 2 + 25 + -20 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**3 - 5*s**2 - s - 3. Let w(i) = -1. Let q(k) = -8*k**3 - 6*k**2 - 2*k. Let d(n) = -q(n) - 4*w(n). Let h(l) = 3*d(l) + 4*j(l). Factor h(g).\nAnswer: -2*g*(g + 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Suppose 4*u - 1 = 7. Suppose 3*o = 4 + u. Let i(v) = 6*v**o + v**2 - v**2. What is i(l(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2\/(32\/48) - (-856)\/(-171))*6\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1854 + 1906. What is the remainder when 347 is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -23 - 411069\/17193?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4170000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -1.4, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12316*s**3 - 4916*s**3 - 7337*s**3 + 10*s.\nAnswer: 63*s**3 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116741*s**2 - 2*s**3 + 2*s**3 - 116759*s**2 - 212*s**6 + 12 wrt s.\nAnswer: -25440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-7) - -2 - (-1)\/7. Let v(c) = c**3 + 3*c**2 - 9*c + 30. Is v(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/(4*3\/132)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*y + 13849, 0 = -2*s - 5*y - 1683 + 7209. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -240 + 58 + 58 + 61 + 60 - 747*o in the form h + z*o and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/(-21)*28\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, l: 2, s: 11, z: 2}. Give prob of sequence szs.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*p + 39 + 63. Solve -p*q = -q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = -5*d - 20, 8 = -5*x - 2*d. Suppose x = 6*t - t. Suppose 0*n - 4*k = -3*n - 2, -k + 5 = t. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239208 + -239206. Let u = -0.03 + 3.03. Let o = u + -5. What is the third smallest value in o, 0.1, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5bc38 (base 16) to base 10\nAnswer: 375864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53222, -53198, -53136, -53018, -52826, -52542?\n\"Answer: 3*j**3 + j**2 - 53226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2027*h**3 + 648*h**3 + h**2 + 3*h**2 + 724*h**3 + 668*h**3 - 2*h**2.\nAnswer: 13*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:49 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2847*y + 2848*y + 17*n - 580, 40*y = -3*n + 182 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -153. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/18 + (-20)\/24. Let s be (1 + f + -1)\/(1\/3). What is the closest to -0.1 in 1\/5, s, 3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6*r + 7*r = -30, -5*s + r = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 13*u**2 + 21*u - 10. Let d be p(-11). Let o be ((-27)\/72 + (-76)\/(-32))*d. Solve f = -2*x + x - 1, -o = 2*x + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1244 divided by 30.\nAnswer: -622\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 234, 351, 468, 585, 702?\n\"Answer: 117*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/64*(-4)\/10. Factor -1\/4*f**4 + 1\/2*f**2 + 1\/4*f**5 - 1\/4 + 1\/4*f - g*f**3.\nAnswer: (f - 1)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 6. Let m = -0.9 + o. Let v be (0 - -1 - 2)\/(-1). Is m bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 9264132.\nAnswer: 324244620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 110082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -15. Suppose -2*q - 4*w - 12 = g, 6*q - q - 2*w = 30. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 221*w - 31. Let t be r(1). Let v = -2088\/11 + t. Which is the nearest to 0.3? (a) 0.046 (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 41 = -3*g + 4*f, 2*f + 73 = 5*g. Let n be g\/(3 + -8)*2\/(-3). Solve 5*l - 4 = -2*j - 3, -j - 4 = -n*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3*-3 + (sqrt(102)*-1)\/sqrt(6) + -1 + -2*(sqrt(612) - (sqrt(612) + -5*sqrt(612)*-2 + sqrt(612)) - sqrt(612)) + 3)**2.\nAnswer: 608*sqrt(17) + 392772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 38*f - 173. Let u be y(-7). What is the smallest value in u, 2\/3, -4568, -0.5?\nAnswer: -4568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8224\/39 + -2737\/13. What is the nearest to -1 in 2.2, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*v + 6*g + 12, 3*v + 4*g - 9 = 0. Suppose 0 = -i + 3*y + 75, -v*y + 6*y - 330 = -4*i. What is the highest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0310344 * 0.204.\nAnswer: 0.0063310176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 3\/8 (c) 258\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -212*f + 72. Calculate j(-3).\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*p + 6. Suppose -2*m + 6 = -p*o, -3*m - 5*o = -2*m - 3. Solve 0*j - 2*j = 3*l - 7, 3*l + 18 = m*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 0.43. Let r = -0.29 + 0.09. What is the second biggest value in 1, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54334 = 4*j + 5*y + 4065641, -j + 3*y = 1030015. Round j to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 6:27 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -48061*z - 96112. Calculate i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/53, 1\/4, -4, 7, -5855?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -241400 (base 6) to base 4\nAnswer: -11021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -671745 less than -0.0583789?\nAnswer: 671744.9416211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 25. Suppose -4*i - 6 = -d - 3*i, o*d - 9 = -i. Find the second derivative of 16*x - 20*x**2 - 7*x + 20*x**d + 20*x**2 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-8 - -2) - (5 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2309371, 2309370, 2309369?\n\"Answer: -l + 2309372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-36) - (-24)\/108. What is the nearest to h in 6, -3, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 32 = 4*l, 0*l - 4*l - 3*c = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 20*l + 11. What is t(16)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1161 and 1458?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 573*q**3 + 2928*q**2 - 2352*q.\nAnswer: -3*q*(q - 4)*(q - 1)*(q + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 9. Let w(h) = -3*h + 17. Let n(p) = 5*q(p) + 3*w(p). Let r be n(-4). Find the second derivative of -3 + 3*k**r + 0*k + 3 - k wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d - 4*d**2 + 0 - 5\/6*d**3. Let n(s) = 2*s - 2. Let c(y) = 1. Let f(t) = -5*c(t) - n(t). Calculate 8*f(x) - 3*i(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 19*y - 331. Solve -7*z - y*z = 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79417332, 79417338, 79417344, 79417350?\nAnswer: 79417356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.7 + -42.74. Which is the nearest to 0.1? (a) 0 (b) 3 (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 660 divided by 6\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51061 divided by -4490.\nAnswer: -51061\/4490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(175) + 2 - sqrt(175)) + sqrt(175) + 5 + -3 + sqrt(175) + 5)*6)**2 + -3.\nAnswer: 233280*sqrt(7) + 1012173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Suppose 0 = -6*j + v*j + 12. Solve -4*l + 5*o = 12, 4*l - o + 15 = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1608 divided by 67\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29542 = -55*w - 29322 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -15. Let o(m) = m**2 + 10*m - 2. Let k be o(-11). Suppose -k = -p - 0*p. What is the smallest common multiple of p and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3287 divided by 2\nAnswer: 3287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 16. Let g(f) = 7 + 15*f - 15*f + 2*f**2 - w*f**3. Let q(n) = -4*n + 90. Let z be q(24). Let t(i) = -8*i**3 + 2*i**2 + 6. What is z*g(s) + 7*t(s)?\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0237 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**3\/3 + 6*a**2 - 15*a - 2. Let k be y(10). Suppose -9 = -2*h + k. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105627, -105874, -106293, -106884, -107647?\n\"Answer: -86*k**2 + 11*k - 105552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 10 + 10. Let d be u(1). Suppose -2*h + d = s - 5*s, -2*s + 3*h = 7. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 19*k**2 + 2765*k + 348. Calculate s(44).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37665295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30937300 to the nearest integer?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a8 - -1b06?\nAnswer: 175e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14\/3 - -5. Let f = -969 - -965. What is the nearest to 0 in -0.5, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1965 times 440222\nAnswer: 865036230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9)*-2*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 + -486. Let h = 4.2 + -4.193. Is h not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4 - (-3 + 2 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4038.877 from -0.864023.\nAnswer: -4039.741023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + -1 + (17 - 15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1483032759761 minus -0.5?\nAnswer: 27.6483032759761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**2 + 8*s**2 + 0*s**2)*(-8 - 6 + 0)*(3*s**2 + 3*s**2 + 0*s**2) in the form f*s**4 + r*s + b + z*s**2 + j*s**3 and give f.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 70, 127, 210, 325?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03171 minus -1242552?\nAnswer: 1242551.96829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 11\/6, -4.74.\nAnswer: -4.74, 0.2, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26917 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let n(w) be the third derivative of w**4\/4 + 391*w**2. Determine -n(r) + 5*q(r).\nAnswer: -r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44290*d - 5*d**2 - 44288*d + 13 + 13)*(2*d**3 + 4*d**3 - 4*d**3 + (5*d - 5*d - 3*d**2)*(-2*d + 4 - 4)).\nAnswer: -40*d**5 + 16*d**4 + 208*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/30 - 3765*i**2. Let y(x) = -6*x**2 - 8*x + 5. Determine y(n(s)).\nAnswer: -24*s**4 + 16*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose h = -3*h + 16. Suppose -h*o = 2*p - 52, -3*p - 22 = -d*o - 120. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 3:49 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -13\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*z + 9*z - 5*s + 470 = -7*z, 0 = 4*z - 4*s + 116 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9096\/20 + 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14931 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30246609 - -79632247. Let i = w + -28702468. Suppose 295183170 = -15*s + i. What is s rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27057 times -642?\nAnswer: -17370594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 56\/32 - (-34 - (24 - 43))*(-13)\/132\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 5*s - 3. Let n be y(-4). Let f = 50 + n. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f**2 - f. Let g be m(-1). Let z be 6 + -3 - 13\/4. What is the second smallest value in z, -2, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -380332 (base 13) to base 2.\nAnswer: -101000111110111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 3*q - 2*u - 17, 11 = 2*q + 3*u. Solve 0 = -q*k - 2 + 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 60290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*l**2*n - 12806467*g*l*n - 46012*g*n + 13*g - 2*l**2 with respect to l.\nAnswer: 2*g*l*n - 12806467*g*n - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -2*f + 0*f**3 + 1\/14*f**8 + 0*f**6 + 0*f**5 + 0*f**7 - 1\/3*f**4 + 0 + 0*f**2. What is the third derivative of p(o) wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.793938 to 2 dps.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/518074 and 107\/20?\nAnswer: 5180740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:30 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 2*b - 2*b + (-7*b + 5*b - 4*b + 1)*((-b + 3*b + b)*(-b + 2*b + 0*b) + 6*b**2 + 9*b**2 - 16*b**2).\nAnswer: -14*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.996488 millilitres to litres.\nAnswer: 0.000996488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97411976, 194823956, 292235936, 389647916?\nAnswer: 487059896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*m - 35, -m + 6*c = 4*c - 16. Suppose m*l = 23 + 27. Suppose l*n + 1050 = 5*s, 0 = 4*s - 5*n + 82 - 927. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 4*k - 1. Calculate z(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36 - 13*b - 8*b - 17*b - 28*b wrt b.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 1, q: 1, l: 6, m: 1}. What is prob of sequence ml?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + p + 58, 2*o = -p + 62. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/54328 and -121\/6.\nAnswer: 162984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3 and -39\/4536160.\nAnswer: 13608480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121100200 + -11202?\nAnswer: -10121112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(x**(-2)\/x))\/(x\/(x**(1\/4)\/x)*x)**(-3\/7)*((x**(4\/7))**(-25))**16 assuming x is positive.\nAnswer: x**(-6199\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1193 - -1190. Let i = 1.63 - 0.03. Suppose 5 = -4*j - 5*s - 18, 0 = -j - 3*s - 11. Which is the smallest value? (a) x (b) -1 (c) i (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*s, -s = -4*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66679 is divided by 1280.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56246 (base 7) to base 14\nAnswer: -525d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 11*p + 10*p**2 - 21*p - 5*p.\nAnswer: 5*p*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33925?\nAnswer: 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.255678 weeks in milliseconds?\nAnswer: 3178634054.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-8 - (3 - 8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c6 (base 15) in base 14?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttutwuwttnwnmntttw. Give prob of sequence wmw.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 5 (c) 14\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b = 154*b - 100 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**3\/3 + 13*p**2\/2 + 22*p + 70. What are the prime factors of c(-13)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, b: 2, s: 2}. What is prob of picking 1 z and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbeerrebzbbbrrzbbeb. Give prob of sequence ebz.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160834151 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*t - 145*t - 240 = 0. Suppose 38*h - t*h - 960 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:06 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 9*n**2 + 7*n + 8. Let r be f(8). Solve 5 = -o - r*o, 2*u + 14 = -2*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, j: 1, w: 1, h: 1}. What is prob of picking 1 h and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -70?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w\/(w*w**0))))**(-34))**(-1)*(w\/(w\/(w**0\/w)*w))**(-29)*(w*w\/(w**(-2)\/w))\/(w\/w**(2\/19)) assuming w is positive.\nAnswer: w**(534\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2*t - 55. Let j(n) = -n**3 - n**2 - 2*n - 1. Let p be j(-4). Calculate the greatest common divisor of t and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1533 - 5?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/743 smaller than -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*c + 439*c - 40 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/11 (b) -23 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1190\/(-935) + 248\/11935*119.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007664 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 66*f**2 + 55*f + 616. Let w(s) = -s. Give w(o(p)).\nAnswer: -66*p**2 - 55*p - 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-11 + (8 - 5))) + -5 + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4, -80 = -4*l + 7*u - 8*u. Suppose 0 = 3*i + z - l, 7*i + z = 3*i + 27. Solve 19*m - i = 23*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 times -0.2?\nAnswer: 185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 - 1\/3*3 is divided by (19\/2)\/((-10)\/(-20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:48 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 11*d**4\/12 + 21*d**2. Let c(w) = -1. Let p(s) = -s + 6. Let h(t) = 6*c(t) + p(t). Give b(h(y)).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(((-6)\/(-120))\/(-1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -270558920*v - 100355463 wrt v?\nAnswer: -270558920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38223644447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81b70 (base 13) to base 10.\nAnswer: -232635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {b: 1, y: 2, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 3*d**2 - 4*d - 1. Suppose 0 = 3*m + m + 40. Let t = m - -12. Let s be (4\/(-8) - -2)*t. Give k(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2253 - 18997 = 5*l. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*i. Suppose -4*a + 14 + 22 = 5*v, -5*a + 54 = i*v. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -52aa1?\nAnswer: -52a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by 6\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 3. Let r be g(0). Sort r, -2\/3, -19 in descending order.\nAnswer: -2\/3, r, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 9*h + 40, 5*i - 14 = -h + 26. Let y(f) = -f**3 + 5*f**2 - 4*f. Let v be y(3). Suppose r = v*r - 25. Solve h = g + g - r*x - 1, 2*x = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1618 - -1617.6. Suppose -2*s - 649 = -3*m, 0 = -4*s - s + m - 1590. Let p = 9195\/29 + s. Which is the smallest value? (a) p (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -228, -0.5, -0.4 in decreasing order.\nAnswer: -0.4, -0.5, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**3 - 117*k + 3*k**3 + 5*k**2 + 117*k.\nAnswer: -7*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(3\/(30\/4)). Let w be 0 + (2 - 2) - (-77 + 78). Which is the third smallest value? (a) g (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*y - 88 = 0, 42 = 50*h - 49*h + 5*y. What is the third smallest value in -2\/35, -3, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h - 0. Let s be 5\/3 - (-3)\/9. Solve -z + 3*w - 11 = 0, -s*w + h + 10 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 40*j**2 - 15*j + 938. Let u be r(-39). Solve u*b = -5*i - 41 + 8, 4*b + 2*i = -26 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-6)*(-12)\/18. Sort d, 27, -2, 2 in descending order.\nAnswer: 27, d, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16*x - 509. Let t be k(32). Solve -5*q + 3*v = 16, -14 - 7 = t*q + 2*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (0 + 0 - -11). Suppose -9*n + 4*n = -a. Suppose 2*h + 39 - n = 3*q, -3*q + 4*h + 41 = 0. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 = 7*k. What is the units digit of (0 - (7 + -4)) + (92 - k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/25 and -11\/180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176209816?\nAnswer: 2, 79, 278813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2. Let y(g) be the first derivative of 1574*g**3\/3 - 270. Calculate y(k(m)).\nAnswer: 6296*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 13*f - 1. Let o be 1\/f - -1 - (-10)\/(-6). Which is greater: -6\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 4*z**2 - 3*z + 2. Let d be r(3). Suppose -d*b - 2*b = -52. Let v = b + -5. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.96 + 0.04. Suppose s = 5*s + 4. What is the nearest to -1 in i, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 36, 54, 78, 108, 144, 186?\n\"Answer: 3*i**2 + 3*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238766 is divided by 59421?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4023.3 + 4023. Let g = -2 - 4. Let m = g - -6. What is the fourth biggest value in m, -0.2, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z + 10. Let p(h) = -4*h - 1. Give -17*p(f) - 6*t(f).\nAnswer: 2*f - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-32)\/4 - -3566.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22302\/1685 - -12\/337. Which is smaller: q or -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.93 + 0.07. Sort -2\/5, -4, o in increasing order.\nAnswer: -4, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - m**2 - m + 1. Let v(d) = -31*d**3 + 3*d**3 + 1 - 26*d + 1 + 23*d - 2*d**2. Let k(g) = -v(g) + 2*y(g). What is the units digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 877 = 196. Suppose q*h - 19365 = 8163. Is 743 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 4. Let q(u) = -20 + u + 28 - 19 + 12. What is 2*c(y) + 11*q(y)?\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 700071287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/189 - 14*s**6\/135 - 2*s**5\/3 - 52*s**4\/27 - 64*s**3\/27 - 95*s. Factor a(u).\nAnswer: -2*u*(u + 2)**3*(u + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kipkpepkpeiekpkkeek. Give prob of picking 4 e.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 - 2 - 3 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4 + 4 + (-4*v - 4*v + 6*v)*(-v - 2 + 2) + 2*v**2 + 0*v**2 - v**2 + 2*v**2 - 2*v**2 - v**2)*(-3*v**2 + 3*v**2 - 3*v**2)*(3*v - 4*v - v).\nAnswer: 30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 12*q - 14. Let p(o) = o**3 - 14*o + 4. Let n be p(3). Determine u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = 3*b, 6*m - 4 = 2*m + 4*b. Suppose -49*d - 1227 - 243 = 0. Sort 0, d, m in descending order.\nAnswer: m, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1112.01 - 1112. Which is the third smallest value? (a) -0.14 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:21 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -122 + 126. Let w be (t\/1)\/(3\/(-9)). Suppose 5*v - a - 2*a = 1486, w*a = -6. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 21\/(-6))\/((-1)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110251 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44076429, 88152860, 132229291, 176305722, 220382153, 264458584?\n\"Answer: 44076431*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/3*(-12)\/(-10). Is 16 a factor of ((-1)\/2)\/(c\/(-680))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5\/7 - 34*l**4\/7 + 2481*l**3\/7 - 6432*l**2\/7 + 796*l - 1584\/7 = 0. What is l?\nAnswer: -36, 2\/3, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5459 and 265318.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1964*99\nAnswer: 19.4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15942 - 53393 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1920\/18*(2 + 16129\/(-2)). Round y to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 - 7*m. Let g(y) = 2*y**3 + 4*y**3 + 0*y**3 - 5*y**3 - y. Let f(v) = -3*g(v) + s(v). What is the second derivative of f(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g - s - 25 = -49*g, 0 = -4*g - 4*s - 44 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10394849 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 + 33732*z + 10228356 = 0. What is z?\nAnswer: -33426, -306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -3)*(-156)\/8. Calculate the common denominator of -67\/4 and (30\/s)\/(2 + 2).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7740623*k**4 - 252638.\nAnswer: -30962492*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*p - 3*g = -558*p - 69, 2*p = -0*p - 4*g + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 - s + 1. Let r(b) = -6*b**3 - 5*b + 4. Let v(i) = -5*d(i) + r(i). Let q be 6\/((-5)\/(-15) + 21\/18). What is v(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107831?\nAnswer: 17, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/7 + 78369*o**2\/7 + 313512*o\/7 + 313524\/7.\nAnswer: -3*(o - 26127)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 9*k**3 + 99346911*k**2 + 274161336921123*k - 91387123345587 = 0.\nAnswer: -5519273, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00415031 rounded to 5 decimal places?\nAnswer: -0.00415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75)\/20*-1 + (-1)\/(-4). Let p(y) be the first derivative of 27\/5*y - 27\/10*y**2 - 1\/20*y**4 + 3\/5*y**3 + s. Factor p(c).\nAnswer: -(c - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*v + 31 = -5*y - 184*v, 3*y + v + 13 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) 5 (d) 160 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -374*b. Let i(h) = -74447*h**2 - 3*h. What is i(x(w))?\nAnswer: -10413348572*w**2 + 1122*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 69.049. Let t = q - -24.049. Let s = t - 24.5. Sort s, 0.04, 1, -5 in increasing order.\nAnswer: -5, s, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*u = -118, 130*u + 21 = 4*l + 129*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from jjpjxpxupxpfj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*k**3 - 27 - 2*k + 4*k - k - 2*k wrt k?\nAnswer: 45*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3099140919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 3*s + 3*s)*(18*s**2 - 6*s**2 + 22*s**2 + (2*s + s - s)*(0*s + 2*s + 0*s) + s - s + s**2) + 3 - 3 - s**3.\nAnswer: 38*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((7*(-10)\/(-35))\/(10\/(-1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**4 - 6*l + 10. Let u(x) = x**4 - x + 1. Let q(b) = g(b) - 10*u(b). What is the second derivative of q(v) wrt v?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -983 - -990.1. Which is the third biggest value? (a) 9 (b) -1 (c) -5 (d) -0.3 (e) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) 4 (d) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*h + 238, -182 = -4*h - r + 22. Let j be (6\/15)\/1*h. What are the prime factors of (10\/25)\/(1\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29871\/127 and -235 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 3*w + 40 - 3*w + 0*w.\nAnswer: -4*w + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbsd when four letters picked without replacement from bnnbnsdn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/27417 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 53*u**2 + 88*u + 138. What is the tens digit of x(51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 2*f**2 - f - 2. Let d be t(2). Suppose -3*i = -4*i - 4, -d*k - 5*i + 24 = 0. Calculate the greatest common factor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 31\/5, -865, 2\/79?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 + -6) - 4 - (22 - (-19 + 12))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 17. Let j be k(7). Let r be j - (-1)\/(2\/(-6)). Let w(y) = -5*y**2 + 2*y - 1. Let p be w(1). What is the smallest value in r, -1, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 135*z**2. Let j(n) = -6*n. What is j(y(m))?\nAnswer: -810*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 4*x**3 - 3*x**3 - 2*x**3 + x**4 - 11*x**4 + 0*x**4 - x**3 + x**3 - x**4 + (2*x**2 + 2*x**3 - 2*x**2)*(-3*x + 2*x + 3*x) + 0 + 0 - x**4.\nAnswer: -6*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68.5 - -52. Let t = -16 - x. Which is the third biggest value? (a) t (b) 1\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + 0 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 1515*h**3 - 763875*h**2 + 128165625*h.\nAnswer: -h*(h - 525)**2*(h - 465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -55, -123, -239, -415, -663, -995, -1423?\n\"Answer: -2*o**3 - 6*o**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -27*x**5 - 12804*x**4 + 36102*x**3 + 155904*x**2 - 36075*x - 143100 = 0.\nAnswer: -477, -20\/9, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/2*s**3 + 1\/2*s**5 + 0*s - 1\/2*s**4 - 3\/2*s**2.\nAnswer: s**2*(s - 3)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -137b4?\nAnswer: -137b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)*l\/l**(-20))**33 assuming l is positive.\nAnswer: l**(4983\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1205*f - 1185*f - 65695*f**4 + 2390*f + 15813*f**4)*(2 - 1 - 2) to t + m*f + g*f**2 + l*f**4 + r*f**3 and give l.\nAnswer: 49882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 118 = -3*k, -3*n + 3 = -0. Suppose u + 4*i = -0*u - 513, -1565 = 3*u - i. Let g = 621 + u. Calculate the highest common factor of k and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-240)\/(-248)) - 6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-8))\/3*216\/(-243)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/9, -10, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3.9 (b) -18\/13 (c) 0.8 (d) -4 (e) 2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3900 and 13.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000190551 rounded to 7 decimal places?\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 832280282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 - 3*r - r - 143)*(2170 - 34*r - 2170).\nAnswer: 136*r**2 + 102*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348748 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2572*j*o**3 + 10*j*o + 6*j - 28*o**3 + 6*o - 111 wrt j.\nAnswer: -2572*o**3 + 10*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - g = -6, 2 = 3*g - 1. Let x = -23 - -48. Suppose x - u = 3*m. What is the least common multiple of m and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/14 and -31\/256006?\nAnswer: 1792042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 496\/126)*(123\/(-82) - 6\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r. Suppose 2*x - 50 = -5*m, -m + 4*m - 50 = -2*x. Let a be 13\/6 - 10\/60. Let s(b) = 5 + 22*b**2 - 5 - x*b**a. Determine s(u(j)).\nAnswer: -147*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 695, 682, 669?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Suppose -o + 2 = 4. Let v be o\/(2\/2)*(-1)\/2. Which is the smallest value? (a) 5 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021022 - -22?\nAnswer: 110021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31015578?\nAnswer: 2, 3, 11, 571, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*b + 28*b - 132. Let p be (5 + 165\/b)*8\/(-10). Suppose -8\/17*a**3 + 0 + 0*a + 6\/17*a**4 + 2\/17*a**p = 0. Calculate a.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -49. Suppose -4*k + p = 4*p - 41, 5*k + 3*p - 49 = a. Solve -k = -2*z + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b - 35. Let d be v(13). Put -9, -10, d in decreasing order.\nAnswer: d, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*i**5 - 2351*i**4 - 2*i**2 + 129803*i?\nAnswer: -820*i**3 - 28212*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 4*i - 14. Let o be 1 + 0 + 0 + -2. Let f = i - o. Solve 4*d - 2*w = 4, -3*d - f = 5*w + 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 2564729 + 31755271 = 0. What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616065 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**2*p**2 + 3*f**2*p - 41*f**2*y**2 - 8*f*p**2*y**2 - y**2 wrt p.\nAnswer: -12*f**2 - 16*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 2) + 0 - -4. Which is smaller: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 2 - -1) + -217 + 219?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. What is the third derivative of -v**5 - v**i + v**2 - v**2 + 2*v**2 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 + 2*n + 5. What is the tens digit of h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1948 + -9736\/5. Factor p*b - 2\/5 - 2\/5*b**2.\nAnswer: -2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4490, -3, -72, -4, 5 in ascending order.\nAnswer: -4490, -72, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26633 - -17521. Which is bigger: -9113 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*415\/498?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2 + 4. Let w be 8\/24 + 42\/(-45). Which is the second smallest value? (a) 2 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 2. Let q be -30*(-9 + 17\/2). Let b = i + q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2\/7, -5, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24790 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11421 is divided by 293?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -74.8. What is k rounded to 0 dps?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**7\/840 - w**6\/540 + w**5\/360 + w**3\/3 - 6*w**2. Let h(m) be the first derivative of y(m). Factor h(x).\nAnswer: -x*(x + 1)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003133 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -501.5 + 502. Let m = -23.5 + 24. What is the nearest to m in 0, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 2*b + 2*u, 4*b - 4*u - 332 = -6*u. Let t = b + -53. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 350\/85 - (-4)\/(-34). Suppose i + 274 = 2*i - a*s, -509 = -2*i - 5*s. Suppose -v + i = 3*u, -u = -3*v - 0*v - 94. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 362149939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:04 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4505 + -4453. What is the smallest common multiple of d and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 + 4*f + 1. Let h(u) be the first derivative of 11*u**3\/3 - 7*u**2\/2 - 2*u + 2. Suppose -35 = 4*z + z. Determine z*a(r) - 4*h(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {m: 5, u: 3, b: 2, w: 7, e: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3.2. Let a = 1233 - 1228. Put p, a, -0.02, 0.8 in descending order.\nAnswer: a, 0.8, p, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3627.4 smaller than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 8468.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/x**(-23)*x)*x*(x\/((x\/(x*((x\/(x*x**(-13)*x))\/x)\/x))\/x*x))\/x*x assuming x is positive.\nAnswer: x**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k - 3*k. Let n be ((k - 0)\/(-4))\/1. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8936*f - 2. Let k(b) = 7*b. Determine k(a(r)).\nAnswer: -62552*r - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 7\/856?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 9*u**2 + 14*u + 2. Let g be v(-7). What is the closest to -1 in 4, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24416 divided by -3052\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 - -89.3. Let m = o - -9. Let i = -361\/14 + 51\/2. What is the biggest value in m, i, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-35 + 109035\/2655)\/2?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 77.\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 + -10)\/(1 - 0))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -6*v - 445. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/760)\/((-415)\/104 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7597*w - 4.\nAnswer: 7597*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.29 and 0.5355.\nAnswer: 15.8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3948716 + 7319902. Suppose -c + 371174 = 2*q - 3*z, -z + 1500004 = -q. What is q rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -14 + ((-11)\/(-1))\/(-11). Let u = -0.2 - -0.2. What is the second smallest value in 4, u, f, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - 621*x + 16934. Calculate c(26).\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -482, -737, -998, -1265?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300104 - 245?\nAnswer: 255415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -676 + 1197. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + -316. Let q(h) = 20*h**3 - 2*h**2 + 6*h + 2. Let n(m) = -m**3 - m. What is p*q(v) + 6*n(v)?\nAnswer: 14*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 860, 1655, 2212, 2411, 2132, 1255?\n\"Answer: -20*h**3 + h**2 + 932*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19278 = -19*v + 17*v - 12*v. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 27*n**3 - 1. Give f(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f*p**3 - 21*f*p - f*s + 18*p**3*s + 324*p**2*s - 502*p*s + 1 wrt p?\nAnswer: -30*f*p + 108*p*s + 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s + 86 - 205 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 3*s + 4*s)*(471 - 393 - 349)*(2 + 1 - 2).\nAnswer: 542*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 45.76. Let t = b + -20. Let i = t - 0.24. Do -3\/5 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/3)*r))**27\/((r*r*(r**(-3)\/r)\/r*r)\/r**(-6)) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-42)\/(-35)*55\/(-88)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 59593*l**2 - 7 + 59576*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b (base 13) in base 10?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 11836*t**2 + 35489*t + 118330.\nAnswer: (t - 11833)*(t - 5)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**3 - 6*o**2 - 9*o. Let m(q) = 19*q**3 - 13*q**2 - 19*q. What is -13*k(c) + 6*m(c)?\nAnswer: -3*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100000010011100101 (base 2) in base 8?\nAnswer: 2402345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(160\/25) + (-1)\/((-16)\/(-12)). Sort 6, r, 5, -5\/7 in decreasing order.\nAnswer: 6, 5, -5\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 9. Calculate the remainder when 61 is divided by ((-3)\/(-6))\/(m\/384*-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/993307448 and 95\/8?\nAnswer: 993307448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 70. Calculate t(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1320\/(-32) + (-1)\/(-4). Let b = 57 + u. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*y + 2*s, y = -0*y - s + 2. Calculate the remainder when 13 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29399169 - -4?\nAnswer: 29399173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*32.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8) + ((-15904)\/(-384))\/(-71).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7366203*r**4 - 1989*r + 1154?\nAnswer: 88394436*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -169*k**2 + 4. Let l(q) = -51208*q**2 + 1211. Calculate -4*l(g) + 1211*w(g).\nAnswer: 173*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 1034 + 926 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49.2 * 1.7\nAnswer: 83.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28\/4*2\/14*16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1940*y + 2003*y + 7 - 3941*y. Give x(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*u - 11726 + 1437 = 98*u + 547 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -585.6 + 586. Put 0.2, 18\/5, 1, l in decreasing order.\nAnswer: 18\/5, 1, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 32 (b) 46 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1794)\/(-4186))\/((144\/(-4))\/(-4)*4\/609)\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 - 4*j - 1. Let x be o(5). Suppose -4*s + 0 + x = 0. Suppose 0*y + 5*u + s = -2*y, 4 = -4*u. Is -2 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5)*(-1 + 2 + 0)*(-4 + 4 - 2*r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 576*q**3 + 3*q**2 - q + 13. Let s be y(3). Suppose -56*h = -39*h - s. List the prime factors of h.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.33626519 to 2 dps.\nAnswer: -5.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.89 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*o - r, -o - 3*r + 7 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71270865 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1733 - 1736. Sort -14\/17, -0.2, -1\/4, u.\nAnswer: u, -14\/17, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t, n = 3*t - 6 + 12 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -5 + (0 - -3) + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2416 to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6055286.7 + -0.09?\nAnswer: -6055286.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -284, -628, -1088, -1652, -2308, -3044, -3848?\nAnswer: -4708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18242 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229502*c - 229464*c - 836 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/46 or -1?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -24*i - 792. What is the remainder when 174 is divided by b(-37)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36772*d**3 + 21620*d**2 - 1 wrt d?\nAnswer: -220632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(6 + 189 + 43)*(485 + x - 241 - 243) to s + l*x and give s.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153055 by -30611.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*w = -3*w + 2, 3*d = 2*w + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - l**4)*(-3*l + 4*l + 0*l) + 10*l**5 + 2461*l**2 + 5*l**4 - 2461*l**2.\nAnswer: 9*l**5 + 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 divided by 127?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -210100212 (base 3) to base 7\nAnswer: -63260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 2*x**2 + 2. Let v be y(2). Let u = -58\/19 + 328\/95. What is the fourth biggest value in u, 1, 3\/4, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1497353, -2994751, -4492151, -5989553, -7486957, -8984363?\n\"Answer: -o**2 - 1497395*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiwbwxpiy. Give prob of sequence pi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1201 divided by -778\nAnswer: -1201\/778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -119*18\/63 - -23\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225306469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*c + 190*c - 955 = 7361 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**3\/6 - 52*b**2. Let m(i) = i**2 + 1. Let g(q) = -q**2 + q + 4. Let p be g(-2). Give p*m(z) - 5*j(z).\nAnswer: -2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4995.52 to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14990244 is divided by 395?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiqq when four letters picked without replacement from qqiqiiqq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*k + 3275*g**2*n - 81*g**2 - 14*g*k*n**3 - 2*g*k - 2*k wrt n?\nAnswer: 3275*g**2 - 42*g*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76293975 rounded to 4 decimal places?\nAnswer: -0.7629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 20*p - 12. Let k be l(7). Let r be ((-204)\/(-374))\/(6\/k). Do r and 62\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-2 - -2))\/(7 - 9). Let h = -7 - -4. What is the smallest value in h, n, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = j, u - 6*u - 4*j - 16 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*z - 1377*z - 252*z + 491*z.\nAnswer: -1854*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/13005 and 77\/11730.\nAnswer: 598230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 198, 439, 666, 879, 1078?\n\"Answer: -7*q**2 + 262*q - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*x + 103 - 303, -4*d + 20 = 0. Let u = -82 - 1. Let z = x + u. Calculate the highest common divisor of z and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65324 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7886\/767 + -133\/13. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 2*x - 20. Let n be y(0). Let o(s) = -s**2 - 19*s + 20. Let l be o(n). Which is the nearest to l? (a) 5 (b) 12 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 + 548 + 41*l - 269.\nAnswer: 41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let c be i(-6). Suppose -3*m - 15 = -8*m. Suppose -5*u + 2 = -2*f, -m*f + 7*f - 5*u - c = 0. Solve -f*v - 3 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 32. Suppose 47 = -c + 5*j, -s*c - 3*j = -0*c + 207. Let a = -39 - c. Solve -5*q + a*n = 13, 2*q = 3*q - 5*n - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from clahlccalls?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, -7, 3, 2, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/386856 and -1\/108?\nAnswer: 386856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -22030300101221?\nAnswer: -22030300101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 99 - 4?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28362.\nAnswer: 2, 3, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 32 + (2 - 6) - (11 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 1. Let t be i(1). Solve -15 = 5*f + 5*z, t*f + 3*z + 5 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + -9)\/(1*-2). Suppose 0 = 4*c - n*c. Let z(y) = y**3 + y**2 - y + 1070000. Let v be z(c). What is v rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50534 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2157121 (base 8) in base 4?\nAnswer: -2031321101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 90*j = 92*j - 34, -2*j + 18*j - 47 = n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.09 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 6:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let r(l) = -4*l + 6. Let v(k) = 12*j(k) + 2*r(k). Let m(o) = 2*o**2 - 1. Let n(d) = -d**2 + 1. Let s(f) = m(f) + n(f). Determine s(v(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -17*d**5\/5 + d**4\/12 - d**3\/3 - 191*d**2\/2 - 2*d + 3007. What is the second derivative of q(k) wrt k?\nAnswer: -408*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342616 and 6328.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-4784)\/(-552)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + (-43)\/(-9). Suppose 80 = 478*t - 458*t. Solve -4*g + 3*g = -v*j + 6, 5*g = -j - t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182707 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-10))\/(9\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 - -287.024. Let d = -6.376 - n. Round d to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 607 + -250. What is the highest common factor of d and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 + c + 11. Let v be x(-6). Solve 22 = v*g - 4*a, -2*g + g - 5*a - 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42182435 divided by -1.\nAnswer: 42182435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 - -178.06. Let j = 248\/15 + -76\/5. What is the second biggest value in f, -3, j, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 39*a**2 - 15*a + 15. What is the tens digit of k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0 + 0*p + p**2 + 1\/24*p**4 + 3\/2*p**3. Suppose -3 = 2*z + 7. What is m(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-729)\/(-135)*15\/36*(-84)\/(-315)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 + 0 = 0. What is the lowest common multiple of j and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/29 + 100\/203. Let w = 1.97 - 2. What is the third biggest value in 0, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/48 and 7\/2988?\nAnswer: 11952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.05 and 4?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620871 is divided by 94.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**3 + 384*g**2 - 4*g + 5. Let r(a) = 27*a**3 - 960*a**2 + 10*a - 12. Calculate 5*r(u) + 12*v(u).\nAnswer: 3*u**3 - 192*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 233. Suppose 3*p - m = 25. What is the remainder when 49 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*s = -0*v + 16, -4*v + 20 = 4*s. Let i(m) = m**3 - 29*m**2 + 48*m + 171. Let r be i(27). Solve -3*j + r = -3*q, 6*j - v*q = j + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -541, -780, -1449, -2764, -4941?\n\"Answer: -36*u**3 + u**2 + 10*u - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -7*a + 255. Calculate the greatest common divisor of a and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.33 + -19.33. What is the biggest value in m, -0.4, 704, 5?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/y)**(-3\/10)*(y*y*y**(-2\/3)*y)**(5\/2)*((y**(2\/9))**(-1\/7))**(8\/5) assuming y is positive.\nAnswer: y**(4021\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86140.\nAnswer: 2, 5, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235837 is divided by 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -17) + (-7 - -1) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1015 and 11\/25.\nAnswer: 5075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4060441m to nanometers.\nAnswer: 406044100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/2)\/2)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 5103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 207010279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*u**3 - 1073*u**3 - 886*u**3.\nAnswer: -1735*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 556, 0, -2, 3 in descending order.\nAnswer: 556, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**2 - 953*s + 52375. Determine p(-202).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 743787 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43758.5 and -189.\nAnswer: -43947.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150 + 111 - 228)*((15*v**3 - 5*v**3 - 6*v**3)*(0 + 0 - 2*v) - 2*v**4 - v**4 + 0*v**4) to the form h*v**4 + x + f*v**3 + o*v**2 + j*v and give h.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 52114675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00187270869 rounded to six dps?\nAnswer: -0.001873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 3*p - 4, 748 - 755 = 3*k + 2*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + v - 122 - 132 = 0, 2*j = 5*v + 543. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 53194301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-13907*k + 9603*k - 46800*k - 8017*k - 20382*k).\nAnswer: 79503*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-16) + 3\/6. Find the third derivative of 15034 + 48*g**3 + 8*g**2 - 51*g**m - 15034 wrt g.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.4, -33, 5\/2, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11412 times 0.22446?\nAnswer: 2561.53752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * -226.\nAnswer: -58.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2101*y - 2087*y = 70 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n - 258*n + 12*n)*(-2 - 2*n + 2) to d*n**2 + f*n + y and give d.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 10.7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 + 5*u + 1. Let y be b(4). Put -5, 8, y in increasing order.\nAnswer: -5, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 23) + (3 + -2 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 221*i - 2185. Let z be f(10). Suppose 4*w - 23 = 5*y, 4*w - 2*y - 3 - 11 = 0. Solve w*t + z = -t - 2*h, h = 4*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 9. Let a = 62 + -60. Calculate the remainder when t(14) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1296\/(-36) - (6885\/(-189))\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25841 and -28.\nAnswer: -25869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -716423 or -716419?\nAnswer: -716419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49\/3 in -1.5, -5, 3, -0.2, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.239 + -18.939. Put v, -1, 3\/49 in increasing order.\nAnswer: -1, 3\/49, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 8*q = -c - 4, -5*c = -4*q - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:05 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -1\/2*q**4 - 3 + 0*q**3 - 5\/2*q**2 - 6*q. What is the units digit of v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 20. What is the nearest to 5 in 3, 0.3, -0.4, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(57)\/sqrt(3) + sqrt(19) + 4) - -5*2*sqrt(19)*4)**2.\nAnswer: -1200*sqrt(19) + 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let p be (96\/20)\/(g\/(-5)). Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 54*b - 4. Let k(q) = 36*q - 2. Determine 8*k(x) - 5*s(x).\nAnswer: 18*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l**2 + 2*l)*(-101 + 179 + 133 + 155) to the form n + v*l + f*l**2 and give f.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90a7 (base 12) to base 3.\nAnswer: -210111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 41*o - 24. Let x be b(25). Suppose 0 = 25*y + x - 1651. Calculate the least common multiple of y and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 - 3.6. Is -5 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 41*w - 362. What is t(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1292324 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -397, -559, -671, -715, -673?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(500) + 1 + 3).\nAnswer: 8 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -455?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2950*t**2 + 3968*t - 25. Let y(a) = -983*a**2 + 1322*a - 7. Let j(r) = 2*p(r) - 7*y(r). Find the second derivative of j(u) wrt u.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:33 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -255?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 1. Let p be j(-2). Suppose -p*i = -153 - 167. Suppose 5*m - 42 = 3*z + i, 3*m - z = 62. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 1. Let n be k(1). Suppose 0 = n*p - 3*p - 2. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32551 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6735989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -23*o + 18*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*f**2*p**3*r - f**2*p*r*x**2 + 5*f**2*p*r - 5*f*p**2*r*x - p**3*x**2 - x**2 wrt p?\nAnswer: -504*f**2*r - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 2*n - 7. Let h be i(-6). Let m = 28 + -246. Let q = 252 + m. What is the highest common factor of h and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/5 >= 660\/2719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171929989, -343859977, -515789965, -687719953, -859649941, -1031579929?\nAnswer: -1203509917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecz when three letters picked without replacement from {c: 6, z: 8, e: 5}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cba + -5?\nAnswer: 1cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 - 150.3. What is c rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56752 * 0.062\nAnswer: 3518.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 867026917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 58 = -3*p. Let l(x) = -p*x**2 - x + x. Let z(t) = 390*t. Let c(g) = -10527*g. Let h(y) = c(y) + 27*z(y). Determine h(l(i)).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55855*q**2 + 165807 wrt q.\nAnswer: 111710*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**2 + 10*f - 9. Let t be z(-9). Let p be (-1)\/(-2 - t\/375). Suppose -4*n + p = -11. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.4 + -4.1. Let z = j + 8. Let q = z - -0.7. Which is the biggest value? (a) q (b) 1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/6 - 3*s**2\/2 - s. Let a(w) = -20*w + 223. Suppose 274*g - 284*g + 110 = 0. Let c be a(g). Give p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 + (87150\/83)\/14\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -37\/105*f**5 + 10 + 1\/28*f**6 + 11\/7*f**4 - 24\/7*f**3 + 4*f**2 + 0*f - 1\/735*f**7. What is o in n(o) = 0?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 8810\/1827 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 128*d - 45 - 701 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.0516 (b) -4 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*t = 246, 3*c - t - 53 = 112. Let u = 7 + 8. What is the remainder when c is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, o: 5}. What is prob of sequence wo?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b - 740 = -44*b + 33*b - 35*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (10 + 10 + -37).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5480\/260 - 42) + 21.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 2}. Give prob of sequence oo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/4 - 7*r**4\/12 + r**3\/6 + 2*r**2 - 7*r. Let y(d) = 9*d**3 - 13*d**2 + d + 8. Let q(l) = -5*p(l) + 3*y(l). Factor q(s).\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -242 (b) -4\/13 (c) -1\/33 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 10*s**2 - 11*s - 7. Let i be r(11). Let g(a) = -a**2 - 6*a + 12. What is the remainder when g(i) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 - -197. Find the third derivative of -12 - 5*d**2 + 11 - 36*d**l - 13*d**5 wrt d.\nAnswer: -2940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8952*g + 10 - 4480*g - 4475*g. Calculate s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -440 and 35?\nAnswer: -15400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a*a*a)**(9\/7)\/(a*a**(-6\/11)*a\/(a*a**6))*(a**(-1))**47\/((a\/(a**(1\/3)*a))\/a)**(16\/9) assuming a is positive.\nAnswer: a**(-507313\/14553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/12 + 69*r**2. Let k(i) = -22*i - 1. Give m(k(n)).\nAnswer: -44*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 13)*(0 + 3500000). What is a rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1.977\nAnswer: -1.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 + w**2 - w + 1. Let n be j(1). Solve 0 = 3*h - 13 + n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 - 31051320*j + 60261529608900 = 0 for j.\nAnswer: 3881415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b - 50*b + 92*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 382637719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*u + 13, 2*j - 5*u = -10 - 1. Find i, given that -9*i - 27 - 3\/4*i**j = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26690 divided by -314.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387074 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1581.02563 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 4. What is m(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 63, -2, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - 5*n**2 - 2*n + 1. Let i be p(-4). Let u = i - 1297\/7. Which is the nearest to 25? (a) -0.4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2541, -10310, -23259, -41388, -64697?\nAnswer: -93186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (14 - 16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*i - 541*i = -231*i + 374 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/44452 and -9\/14591.\nAnswer: 648599132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a microgram in nanograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110, 118, 114, 92, 46, -30?\n\"Answer: -q**3 + 15*q + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -1413433142?\nAnswer: 1413433130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 12*o + 32. Let z be g(-9). Calculate the highest common divisor of z and 165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/2)\/((-2)\/4). Let q(g) = -g + 9. Let t be q(o). Solve -2*u - 9 = -0*n + 3*n, -t*n - 6 = 5*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007893 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 - 5*g + 1. Calculate p(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 39*w + 166 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*k - 9, -2 + 1 = -k. Solve n - 2 = -t*j - 2*n, -2*j - 5*n - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-8) + -7 + 3\/1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1033238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301 - 10?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 959265913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/21 + ((-2728)\/(-28) - -7). Let w = 67 - 22. What is the greatest common divisor of w and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**0))\/c*c)**(-19)*(c**(2\/7)*c)**46*(((c**6*c)\/c*c)\/(c*c**(-3)*c))**(-3\/23) assuming c is positive.\nAnswer: c**(9354\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -991268*b**2*q - 22*b + 6006*q wrt b.\nAnswer: -1982536*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + 5 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 4*o = -3*q - 9, 0 = o - 5*q + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08337 rounded to four decimal places?\nAnswer: 0.0834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 6975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 344*s*w**3 - 240*s*w**2 - 3*s*w + w**4 wrt w.\nAnswer: 2064*s + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22337*u - 290377. Give t(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 176\/3. Let j = -24\/5 + 23\/5. What is the nearest to 1 in j, h, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126198 divided by -81.\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9 times -2153?\nAnswer: 36385.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037313048?\nAnswer: 2, 3, 43221377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30470618*n**5 + 14968432*n**2?\nAnswer: -1828237080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l + 545 - 516 = -1063 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 4. Let n(q) = 75*q**2 - 4*q - 4. Let k(d) = l(d) - n(d). Find the second derivative of k(c) wrt c.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 13\/8 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 16*z**2 + 39*z + 10. Let l be v(13). Suppose 3*h - 58 = -y + 30, l = 2*h. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 37. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:13 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10)\/g**(1\/6)*g\/g**10*g*g\/g**(3\/7) assuming g is positive.\nAnswer: g**(-739\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 17*c + 50 = 0, -4*c = -5 + 21 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 100, 256, 514, 868, 1312, 1840?\n\"Answer: -c**3 + 57*c**2 - 8*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*a**3 - 1084*a**3 - 155*a**3.\nAnswer: -1060*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37351 > 37353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 556 - 5458*l + 141 + 718 + 1417 wrt l.\nAnswer: -5458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**2 + 17*r. Let h be z(15). Let k = h + -1418. List the prime factors of k.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-25 + 6*n**2 + 25).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/48 + 38\/(-16). Let g(d) = d**2 - 2*d. Let a(y) be the third derivative of -y**5\/15 + 7*y**4\/24 - y**2. Give c*a(p) - 7*g(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 612 and 16?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4) + 3 - -3. Suppose 2*j - s = -2. Suppose 0*o - 39 = -j*o. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -12665?\nAnswer: -13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5872632011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69bd - -1a?\nAnswer: -69a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -12*m + 14*m. Solve -h = -6*h + m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 8*l**2 + 3)*(-985 + 985 + 31*l) + (-l**2 + l - l)*(0*l + 3*l - l) to g*l + i + o*l**3 + b*l**2 and give o.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -30, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -10, 150 = -2*q - 2*j + 482. Solve 0 = -k + 165 - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 100*u**3 + 263*u**3 - 101.\nAnswer: 163*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + i**3 + i**3 - 6*i**3 + 3*i**3 + 33*i**3 + (-i**2 + 1 - 1)*(i + i - i) - 3*i**2 - i**3 + 3*i**2.\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -3838880.\nAnswer: -3838879.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -42, -78, -142, -240?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 484245035 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 - 108*o + 17. Let n be l(-22). Let u be (14\/4)\/((-2)\/20). Let t = u - n. Sort -1, t, 5 in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18637 is divided by 2048.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 - 10*p + 7. Calculate f(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -8, -1035, 0 in increasing order.\nAnswer: -1035, -8, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 1 + 1 + (-r - 3 + 3)*(-5 - 1 + 4) - r + 0 + 0)*(12*r + 14*r - 5*r).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79496 take away 1441?\nAnswer: -1441.79496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 1, v: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 - 157bb0?\nAnswer: -157b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19) + -1 + (sqrt(76)\/sqrt(2))\/sqrt(2).\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 745*r - 1 + 4 + 4 as l + i*r and give i.\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.089 in 73\/18, 1\/7, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108 and -10629.5.\nAnswer: -10737.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45646 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -35, 13, 135, 355, 697?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8358948.100194 + 8358725.1. Let z = -456 + 233. Let c = z - v. What is c rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**4)*s)**(2\/7)\/(s**(1\/11)*s**(-2\/5)) assuming s is positive.\nAnswer: s**(669\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53975744?\nAnswer: 2, 843371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*y + 19 = -0, -y = -3*u + 16. Which is the closest to 0.1? (a) u (b) -0.2 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/40 - 6) + (-1)\/((-150)\/(-65)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539626 and 1079252?\nAnswer: 1079252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -830*o + 456 wrt o.\nAnswer: -830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4571303 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -515, -1042, -1569?\n\"Answer: -527*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 55*r**2 - 20*r - 193. Determine x(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0 + 0*z + 19\/24*z**4 + 18*z**2 + 0*z**5 + 13\/60*z**6 + 0*z**3. Find the second derivative of x(i) wrt i.\nAnswer: 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -2\/191 (b) 2 (c) -8 (d) -5\/4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601105853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19366 = -29*p + 10*p + 19784 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/83 - 99\/332. What is the second biggest value in -0.4, s, 2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*(-2)\/(3 - 2). Let n = a - 26. Calculate the common denominator of n and -62\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(121) - 1*sqrt(121))*-6)\/(sqrt(11)*-1*-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2*x + 40, 4*u - 77*x + 82*x + 80 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(44)*-5) + (-1*(sqrt(1216) + 1))**2.\nAnswer: 159*sqrt(19)\/10 + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g + 136. Let v be x(14). Let d(l) be the first derivative of -l**2\/2 + 3*l - 1. What is d(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guyn when four letters picked without replacement from ngqyu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 137 - 8?\nAnswer: 12f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 23*d - 43. Suppose 0 = -24*h + 63 - 15. Let p be c(h). Let l = -8 + 38. Solve 0 = 3*b - 3*q - l, -q = 4*b - p*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -668.71 and 5?\nAnswer: -3343.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12369933?\nAnswer: 3, 1374437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541297111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a - 9. Let r = 95 - 91. Let v(x) = x**2 - 4*x - 4. Calculate r*o(s) - 9*v(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 22912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 4 - 4)*(8*a + 79*a + 23*a) - a - 2 + 2)*(-3 + 4 + 2) as r*a + o and give r.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0506158 hours to milliseconds.\nAnswer: 182216.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d**2 - 22 + 22)*(0*d - 3*d + 5*d) + 0*d**3 - 3*d**2 + 4*d**3 - 3*d**3.\nAnswer: -33*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1287 and 12155?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + 2216\/(-9). Let f = 2210\/9 + c. Sort 0.3, -3, f.\nAnswer: -3, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*w - 12 + 2 = 12 - 5, 8*w - 18 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -1210, -1214, -1220, -1228, -1238?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2222 greater than or equal to -1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -9 - (60 - 55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 4*y + 10*y)*(1 + 2 - 4 + (2 - 1 - 3)*(-3 + 1 + 4))*(-6*y + 3*y + 4*y) in the form v*y + z*y**2 + r and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 = k, 2*k - 26 = -5*j - 0*j. Suppose 6 = -j*v - 30. Let h = -13 - v. Let f(a) = -a**3 - 4*a**2 - a - 5. What is f(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u. Let r(s) = -2*s - 83. Calculate r(p(f)).\nAnswer: -16*f - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 6. Let v be g(-6). Suppose -4*m - v = 5*o, 3*m + 2*m + o = 6. Suppose 2*z = -m*z - 2*q + 24, 3*z + q - 18 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106.046 - -0.954. Put o, 3, -6 in descending order.\nAnswer: o, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = v + 26, -4*v = 5*o - 15 - 6. Suppose -12*x + 3553 = o*x. Does 31 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -25*k + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 12*d**2 - 13*d + 14. Let j be p(13). Let g = 17 - j. Suppose 6*u = 2*r + u - 78, 5*r - g*u - 176 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b4942 (base 13) in base 6?\nAnswer: -50455153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77356, -77357, -77358, -77359, -77360?\nAnswer: -77361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22179722 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1049*k**2*s**2 - 2*k*s**2 - 9*s**2 + 3*s - 85 with respect to k.\nAnswer: 2098*k*s**2 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -14 - 34. Suppose -2*j - 24 + n = 0. Let i = 2\/347 + -2433\/694. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x - 4 = 0. What is the units digit of 0*(-2)\/(-2) - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 34*z**3 - 15*z**3 + 4*z**3 + 5.\nAnswer: 17*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-6)\/2)\/2. Let y = 9 - 13. Which is the closest to g? (a) y (b) 2\/11 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17456*w - 2198*w - 8391*w + 2*w + w - 2*w + (-3 + 2 + 0)*(2*w + 0 + 0).\nAnswer: -28046*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h = 66*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -93, -204, -359?\n\"Answer: -22*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + k = 1, -5*z + 2*k - 36 = -34. Which is smaller: z or 13\/50?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/78 and -71\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/10 - j**4\/24 - j**2. What is the tens digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10730183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from dffufyfydud?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -92. Let b(a) = 2*a - 1. Let x(q) = q**3 - 7*q**2 + 2. Let s be x(7). Let o be b(s). Solve h = o*i - 6*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713*l - 26*l = 69387 for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1063 + 1119 + 10936 = -8*q. Which is smaller: -1376 or q?\nAnswer: -1376","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 21*y**3 + 21*y**2 + 6*y - 6. Let z(m) = -4*m**3 - 4*m**2 - m + 1. Suppose b - 7 = 5*t, 4*b + 4*t - 2 = b. Let u(h) = b*p(h) + 11*z(h). What is u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011010 + -1110?\nAnswer: -10100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + 14. Calculate the remainder when m is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - v**4 + 5*v**4 + (0*v + 2*v**2 + 0*v)*(0 - 2*v**2 + 0) + 2*v**4 + v**4 - 2*v**4 - v**4 + 2*v**4 + 2*v**3 + 0*v**4.\nAnswer: v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (88\/(-32) + 3)*4. Which is smaller: 19\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/6)\/(1\/((-4)\/(-5))). Let q be (-8)\/52 + -4*6\/13. Which is the nearest to r? (a) -0.6 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yljjejyj. What is prob of sequence eyl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28502 + -12474. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -1\/3*o**3 - 8*o + 0 + 0*o**2. Let c(l) = -3*l. What is y(c(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*b**4 + 59*b**4 + 46*b**4)*(4*b - 6*b + 20*b).\nAnswer: 1134*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 47135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2\/4 - 15405*b - 2484000 = 0.\nAnswer: -160, 20700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*u**2 - 5*u - 102*u**2 - 2*u**3 - u + 1 to the form p*u**2 + b + k*u + s*u**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/12*(-4)\/3. Solve -4*o - a = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14 and 350988985.\nAnswer: 350988971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f**(4\/3)*f)\/f)\/f)\/(f*f*f**(-8\/7)\/f))**(-31) assuming f is positive.\nAnswer: f**(-1612\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:10 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/(-3))*(-344)\/(-645)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/64*68\/(-17))\/(6\/88).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 5, f: 3, n: 3}. What is prob of picking 1 v and 2 f?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**2 + h + 2. Let y be z(2). Suppose -3*v - v = -y. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p**4 + 3*p**3 - 2*p**2 - 360. Let n(t) = -43*t**4 + 8*t**3 - 7*t**2 - 1079. Let c(f) = -3*n(f) + 8*o(f). Differentiate c(r) wrt r.\nAnswer: 68*r**3 + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 29\/37296?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485 + -480. Solve -6 - 14 = -5*z - i*c, 5*z + 20 = 3*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 20*j**5 - 3*j**5 + (0*j**2 + j**2 - 2*j**2)*(2*j**3 + 2*j**3 - 5*j**3) + 2 - 2 - 6*j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12352000 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -1 + sqrt(4032)))**2.\nAnswer: 1728*sqrt(7) + 36432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*w + 0 + 867*w + 1 - 2.\nAnswer: 46*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464 + -258. Let w = -686 - l. What is the smallest common multiple of 45 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s + 1. Let d(j) be the first derivative of 0*j - 1 + 3\/2*j**2. Determine -5*d(w) - 2*x(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 62*u - 193. What is the hundreds digit of f(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l + 11. Is s(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-102)\/(-4))\/(10\/(-500)). Suppose -5157 + n = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(2 + sqrt(1331) + -5))**2.\nAnswer: -2376*sqrt(11) + 48236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 - 203. Solve -l - y - 2*y = -7, -5*y + a = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 378578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.283 - 0.217. Which is the closest to -2? (a) 0.4 (b) -1 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.01, 2\/13, 8\/111471 in ascending order.\nAnswer: -0.5, 8\/111471, 0.01, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*v = -8, 4*z - v = -2 + 10. Let u(o) = o**2 - 5*o - 7. Let a(n) = 2*n**2 - 9*n - 13. Let t(d) = 6*a(d) - 11*u(d). Give t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11555100 - -0.327.\nAnswer: 11555100.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 12*t + 10. Let g be (-2 + 10\/(-1))*-1. Suppose 88 = -g*v + v. Give i(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985799 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4 + f**2 + 0 - 4. Let x(k) = 4*k. Let w(i) = -i. Let t(n) = -11*w(n) - 4*x(n). Calculate j(t(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213204*b**2*s**3 - 634240*b**2*s**2 + 4*b*s**3 wrt s.\nAnswer: -1279224*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 42941462.\nAnswer: -9\/21470731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (sqrt(176) + (sqrt(176) + -1 - sqrt(176))))*-6*-6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2678019*-0.3.\nAnswer: -803405.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -56. Suppose -3*d - 2*d + 5*b + 225 = 0, -m*d + 5*b + 131 = 0. Let a(h) = 97*h - d*h - 47*h. Let z(f) = 22*f**2. Calculate a(z(w)).\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-13)\/x)*x**(-10)*(x*x**(3\/25)\/x)\/(x\/(x\/x**(-12\/5)*x)) assuming x is positive.\nAnswer: x**(213\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 20*x**2 - 21*x + 7. Let h be q(-21). Factor 12*t + 3*t**2 - h + 3 + 4.\nAnswer: 3*t*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 1. Let q be f(3). Suppose 5*h - 9 = n + 12, 3*h - 5*n + q = 0. Let i = 4 - h. Sort 3, 4, i in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a**2. Let h(w) = w**2 + 15*w + 787. Determine h(y(d)).\nAnswer: 169*d**4 - 195*d**2 + 787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:18 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 + 4*a**2 - 2*a - 4. Suppose -7 = 5*l - 2*g, 0*l + g + 7 = -l. Is c(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40067 and 537969.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v**2. Let n(c) = -24943*c. Calculate n(a(q)).\nAnswer: 374145*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -34. Suppose -3*v + r = -v. Let t = -17 + v. Solve m + t*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9)*15\/(-50)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384.2663 take away 826071?\nAnswer: -825686.7337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*t = 3*t - 1, -4*t - 14 = 2*w. Suppose 16 = 3*p + 1. Sort -2, p, w in decreasing order.\nAnswer: p, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 212\/(1 + -3)*-1. Let o = 322\/3 - d. Find the common denominator of o and 37\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70489*z**2 - 103134 wrt z.\nAnswer: 140978*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, l: 13}. Give prob of sequence lg.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1659425.7 microseconds?\nAnswer: 0.027657095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5 - 1 + k + 1. Let u be c(-5). Let y(o) = -o**3 + 15*o + 5. Let b be y(4). Solve -3*x + 2 + b = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbeb when four letters picked without replacement from {b: 11, s: 3, e: 4, i: 1}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - a + 1. Let s(f) = -87*f**2 + 116*f - 116. Let v(x) = -x**3 - x**2 - 69*x + 116. Let p be v(0). Determine p*j(r) + s(r).\nAnswer: 29*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77082006\/19 or 4056949?\nAnswer: 4056949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -662672, -662690, -662722, -662774, -662852?\n\"Answer: -v**3 - v**2 - 8*v - 662662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1589 - -0.2411. Sort -4, d, -3\/7, 3\/7.\nAnswer: -4, -3\/7, d, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 2, m: 7, u: 1, o: 2, x: 1}. Give prob of sequence omou.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**3 + 49*u**3 - 3 + 3 - 79*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiiiiiiiiii. Give prob of sequence qi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z = 9*z + 190 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 535 by 8.\nAnswer: 535\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2*s = 2*v + 10, -5*s = v - 16. Let z = 1090\/27 + -35015\/864. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266628 and 3893?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 104*l - 6619. Calculate q(64).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 157. Let q be (-162)\/(-45) - 3 - t\/(-10). Let r be 14\/(-12) + 2 + -1. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - (-1346 - 42\/7)*1 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 + 66.36. Is -0.1 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 - 2*q + 1. Let l = -16 + 10. Let m be n(l). Solve m*s + 2 = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 - 19*f + 5. Is j(-8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v*v)**7 assuming v is positive.\nAnswer: v**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10381 + 10378. Is 476 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14)**(-5\/6)\/((c\/(c*c\/((c\/c**(-1))\/c)*c)*c)\/(c**(-18)*c)) assuming c is positive.\nAnswer: c**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 297 = -4*c + 13, -c = 5*w - 46. Solve 53 = -28*i + c*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 94. Let b(t) = 2*t - 5. Let w(o) = -9*o + 21. Give j*b(m) - 5*w(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/29139 and -13\/1255089?\nAnswer: 1108243587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -12*r + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*a = -822*a - 81625 - 86171 + 57654 for a.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 511 and 4891.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -401.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 14 = 5*n - 3, 5*n = 3*c + 61 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnyp when four letters picked without replacement from {n: 9, p: 3, y: 5, i: 3}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-3)*n)\/n)**(-1\/50)*(n*n**(4\/3))**(-10))**13 assuming n is positive.\nAnswer: n**(-22711\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76b - 24?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = -11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/10*60\/(-88). Let j = 29\/21 + -12\/7. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/13 (b) 1\/2 (c) 4.7 (d) -0.3 (e) 16\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 less than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/11, 5829, 1\/8, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58123*n**3 + 298946 with respect to n.\nAnswer: 174369*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 4. Let s(j) = -1 - 1 - j**n + 1. Let p(y) = y**4 - 3*y**2 + 2*y - 3. Let o(c) = -p(c) + 3*s(c). Find the second derivative of o(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -642, 3\/20, 28?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251255057.\nAnswer: 251255057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u + u**2 - 3*u**2 + 4*u**2 + (-3 + 2*u + 3)*(-u - 2*u + u).\nAnswer: -2*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386.4 + -386. What is the smallest value in 0.3, i, -0.099?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672 and 418?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5700 = -923. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < 3603\/689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5449 + 5449.62. Put c, 1\/7, 5, -3, -0.1 in descending order.\nAnswer: 5, c, 1\/7, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -60, -66, -56, -30, 12, 70?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 136. Let i = -36 + a. Is ((-15)\/2)\/((-6)\/i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, s: 9, z: 1}. What is prob of sequence zass?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17702749979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -236489200 rounded to the nearest one million?\nAnswer: -236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/3*6\/(-8). Suppose 5*r = 5*a + 25, o*a - 20 = -r - 2*a. Suppose 7*u - 57 = 2*u + c, -13 = -u + c. What is the lowest common multiple of r and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 354919.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 272*r - 9 = -2*u + 270*r, 0 = -4*u + 6*r - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7.7. Suppose -2*z = z + 9. Sort z, k, -0.3 in decreasing order.\nAnswer: k, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 231570.\nAnswer: 231564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) - (sqrt(1584) - (-2 + (sqrt(1584)*-5)**2)).\nAnswer: 39598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363136.\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*6*(5 + sqrt(192) + -3)*-5)**2 + -3.\nAnswer: -31752003 - 5184000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1413*y + 19779. What is u(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72076 and 2368?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 15*t - 18. Let b be w(-12). Find the common denominator of (-6)\/18 + 122\/b and -9\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45155\/(-77319) - 4\/(-22). Let q = v + -3\/71. Let p = 0.01 + -0.01. Which is the closest to p? (a) q (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o**2 + 72*o**2 - 204*o**2.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/32)\/(3\/48). Suppose 0 = 2*a + 3*k + 2, 6*a = 2*a + 3*k + 14. Factor d - x**a + 0 + 2 - 5*x + 1.\nAnswer: -(x - 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 391, 391, 389, 385, 379?\n\"Answer: -w**2 + 3*w + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2901, 2954, 2991, 3012, 3017, 3006, 2979?\n\"Answer: -8*n**2 + 77*n + 2832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) 0 (c) -1.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223 or -243?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2519241 and 6951.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 26248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 735289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 22098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 9*y = 6*y + 16, 0 = 5*f + 5*y - 30 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3*sqrt(605) + 5 - (-2 + (-2 + 2 + sqrt(605) - sqrt(605) - sqrt(605)))) + 5 + -4)**2.\nAnswer: 1056*sqrt(5) + 9824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 + 259*j**2\/6 + 6*j - 301\/6 = 0.\nAnswer: -43, -7\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-4)*2\/4. Let k(t) = -2*t**3 + 12*t**2 + t - 1. Let l be k(n). What is the second smallest value in l, 1, 0.2, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -20*w - 2. Determine x(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.22615 - -6.266043. Let d = u + 0.96. What is d rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:25 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 13589 and -6.\nAnswer: 13583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 1 - 11)*(-3 + 1 + 0 - 2*m).\nAnswer: -24*m - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(171) + sqrt(171) + 4*3*sqrt(171))\/(sqrt(90)\/(1*sqrt(490) - sqrt(10))*-5).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5 - 9 = 3*c, 8 = -4*n + 4*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12934972 - -0.06209063\nAnswer: -12934971.93790937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x + 0*x + x)*(5*x**2 + x**2 + 11*x**2 + (0*x + 3*x - 2*x)*(-x + x - x)) to c*x**2 + n*x + a*x**3 + h and give a.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3511*-11649.5.\nAnswer: -40901394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from kkgukdgkkukkkkwwkkg?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let g = 3 + -1. Let f(k) = -3*k + 1. Let i(y) = g*o(y) - 2*f(y). Let u be i(1). Let w(s) = s**2 - 5*s + 6. What is w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 1. Let u(x) = 10*x. Give d(u(r)).\nAnswer: -300*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - -1. Let q = -35857\/3 + 11953. What is the nearest to 0 in 1\/4, q, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let w(f) = f**2 - 7*f + 2. Let i be w(6). Suppose c = 4*q + 5, 0 = -4*c + 4*q + q + 20. Put k, i, c in ascending order.\nAnswer: i, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(5\/(-10)*1*(-10)\/235).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -6, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, t: 9}. Give prob of sequence ccc.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -52. Solve -t = t - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 3395*j**2 + 271230*j - 3735000.\nAnswer: -5*(j - 750)*(j - 12)*(j + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 - 3\/2*k**2 + 0*k**4 + 0*k**5 - 1\/15*k**6 - k + 0*k**3. Differentiate z(c) with respect to c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**4*n**2 - 2624554*b**4 - 73155*n**2 + 3*n - 15 wrt b?\nAnswer: 8*b**3*n**2 - 10498216*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(0*r + 2*r - 3*r)*(129 - 129 - 3*r) to the form c*r**2 + j*r + o and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjd when three letters picked without replacement from zsuzjsfd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - r - 5 - 10 = 0, 6 = 2*p - 3*r. Suppose h - 36 = -h. Let v be 2*(h\/4 - p). Solve -3*b + 3 = -v*y - 6, -5*b + y = -23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -297176 less than or equal to -297178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-129)\/(-9))*9 + -2. Let y = 118 - z. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5400993 is divided by 2438.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 8 - 19) + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 289445 and 65.\nAnswer: 289445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 48. Let f be (-9)\/15 - (-48)\/l. Let c be (-4)\/12*f + (-12)\/(-3). Solve y = 2*y - c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16176855.5000105 + -16176859. Let v = k - -3.5. What is v rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 31, 39, 63, 109, 183, 291, 439?\n\"Answer: h**3 - h**2 - 6*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384.97032 - 385. Round g to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*86763\nAnswer: -86763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + -7 - (2 + 16*4). Let f be c\/(-28) + 6\/(-21). Suppose 0*w = -2*o - w + 372, -f*w = -3*o + 544. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5572056.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5cd74 - -189?\nAnswer: -5cbc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert a16c31 (base 14) to base 10.\nAnswer: 5435515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -420 - -423. Suppose -3*w - 23*d + 18*d + 160 = 0, -5*d - 90 = -2*w. Calculate the remainder when w is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 35. Calculate the highest common divisor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -21*k**2 - 6*k**2 - 26*k**2 - 32*k - 2*k**3 + 7*k + 16. What is b(-26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from aoqcu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -128*x**2 + 3*x - 3. Let w(m) = 61439*m**2 - 1441*m + 1441. Calculate 2882*f(k) + 6*w(k).\nAnswer: -262*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 13*i + 3. Let t(c) = 7*c**2 + 82*c - 20. Let d(k) = -2*t(k) - 13*v(k). Suppose -3*w = -w - 12. What is d(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(7\/(-28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*f - 1, 19*a - 2*f = 23*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5910 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**2 - 30*m**2 - 2 - 17*m**2 - m**2 - 19 to the form x*m**2 + q*m + u and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let i be u(-4). Suppose 2*q - i = 5. Let w be (4 - (-36)\/(-5))\/(80\/(-200)). Solve 5*r + 22 = 3*a - w, -4*r - 32 = -q*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2)\/(1 - 2 - 1). Let w = 3.3 - 3. Let o = -18 + 18. What is the closest to a in o, 2, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 32*v**2 - v + 2. Calculate the remainder when z(1) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + 2*sqrt(3) + -1.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/12*12*9\/(-12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (6*(sqrt(5) + -1) + (3*sqrt(45))\/sqrt(9))*2)*-3)**2.\nAnswer: -2916*sqrt(5) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 62\/783?\nAnswer: 62\/783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 13120*w**4 + 57382500*w**3 - 83682733790*w**2 + 83281226795*w + 501752658702.\nAnswer: (w - 4373)**3*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 79*u**2 + 1324 - 1324 to n + q*u + s*u**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8067.74l?\nAnswer: 8067740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k = 27*k + 435. Which is bigger: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppupupupuuuu. What is prob of picking 3 u?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/2184 and 77\/312?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:02 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -65*q - 59. Let t(i) = -67*i - 69. Give 7*g(c) - 6*t(c).\nAnswer: -53*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 42 = j, 2*o - 3*j - 27 = 12. Let y be (7\/(21\/(-18)))\/(-1). What is the highest common divisor of y and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37125, -37150, -37175, -37200?\nAnswer: -37225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 27*u**2. Let z(y) = 26*y**2. Let m(t) = -5*j(t) + 6*z(t). Let k(v) be the first derivative of 3*v**2\/2 + 1410. Determine k(m(x)).\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqdz when four letters picked without replacement from xjqxxdqdqxz.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/90390 and 41\/225.\nAnswer: 1355850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 13*y - 14. Let l = -10 - y. Suppose 4*c + c - 5*p = -3525, -l*p = 2*c + 1440. What is c rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 - 562 + 113 = 61*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/100)\/((-172)\/855 - 280\/(-1260))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.27 + -0.27. Let h = 1.2 + -1. Let n = -3 - -4. Which is the nearest to h? (a) n (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 741.68145 and 0.07?\nAnswer: 51.9177015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346988, 346991, 346994?\nAnswer: 346997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**9)*(x**(-14)*x)\/x*x)\/((x**5*x*x)\/x)**(-6))**8 assuming x is positive.\nAnswer: x**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48386.3 + 48699. Round c to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 6*v - 3*b + 3 = 0, 0 = -2*v - 5*b - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.047, 3, -78, -21\/2, -63\/8?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 50, -2\/3 in ascending order.\nAnswer: -2\/3, 0, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 2655*y**2 - 469935*y - 27726165.\nAnswer: -5*(y + 177)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160.0102 - -0.4.\nAnswer: -159.6102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/126*(-6)\/(-27)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*j**3*w**3 + 2662*j**3 + 2*w**3 + 28*w**2 with respect to w.\nAnswer: -120*j**3*w**2 + 6*w**2 + 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22922 is divided by 4414?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 15*n - 1. Let f be i(0). What is the tens digit of (f*(-6)\/5)\/(150\/11625)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 - g + 11. Let s be (-3)\/(-12)*31 - (-8)\/32. Let r be z(s). Solve r*y - 6 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-16)*-22 + 2*(-3)\/8?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95*3\/(-6) + 4\/10*4875\/(-1300)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 411 + -6163\/15. Let k = 0.49 + -0.436. Let q = k + -4.054. Sort b, q, -6.\nAnswer: -6, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 10, e: 2}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/371*-1*(112 - (-227 + 346))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1436*q + 515*q**3 - 1427*q + 2863*q - 517*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4 + 1308*u**3 + 31834*u**2 + 242472*u + 588744 = 0.\nAnswer: -629, -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/40 + 3*o**4\/8 - o**3 + 3*o**2. Suppose w(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -55. Suppose m = -2*f + 5*f - 6, 4*m + v = 4*f. Which is smaller: 1\/4 or f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441*o**5 + 2*o**4 + o**3 - 10*o**2 + 8*o - 38952 wrt o?\nAnswer: 8820*o**3 + 24*o**2 + 6*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 16, -a + 2*u - 3*u + 10 = 0. Suppose -13 = -t + w, 9*w = -4*t + 4*w + 79. What is the second derivative of a*x**3 + 2 - 2 + 15*x - t*x wrt x?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + 9. Suppose a = 4*g - 2*n - n, 2*g + n = 22. Let x be 2\/(1 + (-4)\/g). Solve d = -y + 3, -4*y + x*d - 5 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -570349*k**2*u**3 + 21*k**2*u**2 - 53*k**2*u + 2*k*l*u**3 + 46*l*u wrt u.\nAnswer: -3422094*k**2 + 12*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22284*l - 22997. Determine d(-1).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*o + 21*k = -5*o - 224 - 117, 2*o + 2*o - 60 = 4*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13202079 and 151989.\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.832433*0.2.\nAnswer: -0.3664866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/6)\/((-2)\/(-1 - -19)). Find the common denominator of 6\/a + 1\/((-350)\/2965) and 49\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 15 + 10 - 5*c + 4*c - 4*c + 4*c - 1 - c**2 + 6*c**2 - 2*c**2 - c**2 + (2 + c - 2)*(2*c - c + 0*c) + 2*c**2 + 2*c**2 + c**2.\nAnswer: 7*c**2 - c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1331) + sqrt(1331)*3 + (sqrt(396) - (2*sqrt(396))**2)*4)*-6.\nAnswer: -408*sqrt(11) + 38028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t. Let d(o) = 4*o. Let v(h) = 4*d(h) + 3*r(h). Let a(z) = 13*z**2 - 22*z**2 - 34*z + 34*z. Determine v(a(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 4) + 6 + 2. Suppose -q = -2*v + 1. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5*b + 3*b + 6)*(1 + 3 + 0) in the form q + v*b and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*o**2 + 5*o - 56 + 52 + 2 + 4 in the form k + v*o**2 + d*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*k - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1172\/(-3003) - (-128)\/2112. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(99) + 5*sqrt(99) - sqrt(99)) + sqrt(99))*6)\/(sqrt(81) + (sqrt(81) - 2*sqrt(81)*2 - sqrt(81))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - n + 1. Let v be p(2). Let i = v - -3. Suppose 27 = 4*u + 2*j - 13, u + j = i. Solve -4*c + u - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from tttitttititttt.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:04 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 3. Let u = -2\/11 - -1\/66. Let v = -1 - 0. Which is the second biggest value? (a) y (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.53 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161971040 to the power of 1\/2, to the nearest integer?\nAnswer: 12727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1076 + -979 + -1 + 6 - 28.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249*g**4 - 2*g**3*q - g**2 - 25*q - 42 wrt g.\nAnswer: 996*g**3 - 6*g**2*q - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99429 and 25300.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(20\/(-12)) + -3. Solve n + 4*t + 1 + 3 = 0, -4*n - t - 1 = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1053124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 + 3*x**2. Let l(z) = -5*z - 6. Let n(a) = a + 1. Let f(k) = l(k) + 6*n(k). Calculate g(f(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1689 - -1066. Let m = -588 - l. Calculate the lowest common multiple of m and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1558 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0 + 0)*(0*k - k - k) - 2*k**2 - 4*k**2 + 4*k**2 - 7*k**2 + 4*k**2 + 4*k**2 + (2*k - 5*k + k)*(-k + k + k) - 4*k**2 + 0 + 0.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 472*l**2 + 3984*l + 6048.\nAnswer: -4*(l - 126)*(l + 2)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -554, -452, -98, 502?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207.000000612 - -207. What is q rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 33*z + 8. Calculate q(-12).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*m - 51326 + 23153 = 105495. What is the greatest common factor of 316 and m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7343999mg?\nAnswer: 0.0007343999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 4, 26002, 2 in descending order.\nAnswer: 26002, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -192 + 371 - 187 + 5*h. Calculate p(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10)**2 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or -1350082?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72538 minus -9.1?\nAnswer: -72528.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/420 - 37*z**6\/240 + 143*z**5\/40 - 1183*z**4\/48 - 2197*z**3\/6 + 23*z**2 + 1. Factor v(f).\nAnswer: (f - 13)**3*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25625 + 34525. List the prime factors of z.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 14*i - 5*m - 17845, 4*i - 23775 = 3*m. List the prime factors of i.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:04 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(0*h + 2*h - 3*h) + 0*h - 5*h - h)*((2*h**2 - 3*h + 3*h)*(-3*h**2 + 27 - 27) - 3*h**4 + 5*h**4 + 0*h**4).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 31. Let d be 15\/(-25) + k\/(-5). Solve -g - 22 = 5*n, -d = -g + 2*n + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000101010 - -10101?\nAnswer: 101000000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22357 - -22369. Solve 2*c = -v - 14, 3*c = -v - f - 9 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -35) + 25\/(0 + -25). Solve 0 = -n*z - 8*z + 168 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1602964494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 880*b**3 + 885*b**3 + 0*b**2 + 129 + 877*b**3 - 60*b**2 - 2641*b**3 + 57*b. Calculate l(59).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*q = -2, -2*s + 4*s = -2*q + 6. Let t = 4 + s. Solve x + t*b = 2*b - 10, x + 2*b = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 261*b - 780. What is p(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:59 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:09 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 896.3336 millilitres?\nAnswer: 0.8963336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 835343393833 + -12\nAnswer: 835343393821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxjjqjaajjjqqaxa. Give prob of picking 1 a, 1 x, and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243302849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -604190214, -1208380429, -1812570644, -2416760859, -3020951074, -3625141289?\n\"Answer: -604190215*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 152715.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -223373, -223374, -223375, -223376, -223377, -223378?\n\"Answer: -s - 223372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x - 109. Let m be r(0). Let w = m - -121. Solve g + w = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28793981*k - 22031634?\nAnswer: 28793981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:32 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(96\/(-42))*3\/(-7). Let c = -3.04 + -1.96. What is the second smallest value in c, p, 0, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -3*r. Find the first derivative of -9*w + r*w - 18 + 3*w + w wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*o**2 + 16*o**2 - 40*o**2)*(4 - 3 - 2).\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27315 is divided by 108?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1573*j**4 - 2*j**3 - j + 4546?\nAnswer: -18876*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 236046 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/18*12\/(-28). Let x be (13\/(-3) - -3)*15. What is the closest to 1 in -1\/3, d, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+9642\nAnswer: 9642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1623579414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25*(-4632)\/(-60) - (-3)\/(-1). Suppose 0 = -3*w + 362 + t. List the prime factors of w.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*y = 129*y + 4. Suppose -78 = y*v - 274. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-2\/7))*y**(-4))**(-1\/4)*y*y\/y**(-7)*y**5*y*(y\/y**(-2\/3))**8 assuming y is positive.\nAnswer: y**(1235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 2*c - 1. Let k = 6 - 0. Let l(p) = 5*p**2 + k - 4 + p + 3*p. Calculate -7*g(t) - 4*l(t).\nAnswer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 42 = -177. What is the greatest common divisor of u and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 0 - (76 - 109 - -14)) + 29 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101100 (base 2) in base 16?\nAnswer: 3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -105, 2, -3, 2009.\nAnswer: -105, -3, -1, 2, 3, 2009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 + 201428*r**2 + 2535726732*r - 2535928164 = 0 for r.\nAnswer: -25179, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -36. Calculate the remainder when d is divided by (0 - 4)*(-5)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -9078880, -1 in descending order.\nAnswer: 9, -1, -9078880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -299276 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1074 in 0.09, -5\/6, -20.5, -1?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 3514*p - 403435. Determine v(129).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/30 + 8\/192*8\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(27\/(-12) - -3). Suppose -n*l = -7*l + 332. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 71357150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - 8 - 317*u + 158*u - u**3 + 157*u as p*u**3 + i + k*u + r*u**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12910 - 12850. Suppose 0 = 5*f - f. Suppose 33 = o - f*o. Calculate the remainder when z is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 596 = 364. Let c be (j\/18)\/((-1)\/(-54)). Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1570 = -3*y + 5*y. Suppose 0 = 7*q - y - 202. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2825 + -1670. Suppose 12*p - y = -3*p. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -131) + (-2315 - -2069).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8738228us in hours?\nAnswer: 0.000000002187173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimim. What is prob of sequence mimi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 329. Let w(f) = 7*f + 28. Calculate w(p(h)).\nAnswer: -7*h**2 + 2331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -160.99918. Round q to 5 dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30762161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -276.400028383 - -276.4. What is h rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166377276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 557\/5. Suppose -l + 2*l - 8 = 0. Suppose -211*j + 207*j = -l. What is the second biggest value in j, 8, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30392 by -5.\nAnswer: 30392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqll when four letters picked without replacement from lllqllllllll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.79. Let l = o + -3.89. Let f = 1.4 - 1.7. What is the nearest to 1 in f, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/4)\/((-9)\/78*13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5, 2*q - 18 - 60 = -4*v. Solve z + 8 = -r, z + 4*r + v = -r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/2 (b) -23\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*l = -10, 2*l = -2*g + 3 + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -5c5ad1?\nAnswer: 5c5ad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (1*-4 + 1). Suppose p = -5*a - 10, -5*o + 252 = -o + 4*a. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -612.347 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5310)\/(-1652)*(-252)\/(-15)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.9 (b) -0.01 (c) 2 (d) -435 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.5377467 + -1.9.\nAnswer: -10.4377467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Solve w = -h - 0*h + 5*t - 14, -2*h = -t + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiiiililil. Give prob of picking 1 l and 2 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -38\/5*u**5 + 0*u**4 + 3*u**3 + 0*u + 32 + 0*u**2. What is the third derivative of v(t) wrt t?\nAnswer: -912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 25 = 15*j - 6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2816 and 23664256?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 183 = 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/160 - (-6)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/23095 + -9445867\/138570. Let f(d) = -10*d - 8. Let r be f(6). Let a = l - r. What is the biggest value in a, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2\/7 (b) 39 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/126 - l**6\/45 + 7*l**5\/60 - l**4\/9 + 245*l. Factor z(c).\nAnswer: -c**2*(c - 1)**2*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 23 = q, -4*k + 92 + 25 = 3*q. Let b be (6\/14)\/(q\/245). Solve b*w - 5*w - 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2358 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 0.2, -5, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s**2. Let u(h) = 17*h. Calculate u(y(n)).\nAnswer: -272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45018 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2)**2*5 - (-5 + ((-1 + sqrt(448))**2 - sqrt(448))).\nAnswer: 24*sqrt(7) + 8516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:13 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:57 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3929*f + 100 = 3934*f. Suppose 0 = -f*l + 27538 + 7982. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 707, 1065, 1399, 1697, 1947, 2137, 2255, 2289?\n\"Answer: -2*y**3 + 372*y + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*w - 118*w = 58 + 173 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*t*u**2 + 2*t - 552*u**4 + 2*u + 17978 wrt u.\nAnswer: -42*t*u - 2208*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:39 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -248*b - 37586. What is u(-154)?\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 20 - 22 = -5*l, -2*n = -3*l + 26. Which is the third smallest value? (a) 8 (b) 0.34 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*u**3 + 690*u**2.\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let h(t) be the first derivative of 3*t**2 - 51*t - 117. Determine u(h(j)).\nAnswer: 12*j - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*u - 1491 + 1491)*((4*u + 0*u - 3*u)*(2 - 2 + 1) + u + u - u)*(3*u + u - u).\nAnswer: -648*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100\/69 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/213, 2, 7.7 in ascending order.\nAnswer: 2\/213, 2, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -10. Let h be 3\/(r\/(-39)*3). Suppose -5*k - 3*g + 0*g + 13 = 0, 2*g = k - h. Solve -2*m - 10 = -2*j, -4*m = -k*j - 0*j + 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 + 1. Let t(s) = 15*s**2 - s - 3. Let d(i) = -13*l(i) - 6*t(i). Let u be d(-3). Does 18 divide ((-96)\/(-20))\/u*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + d + 8, 0*s - s + 5*d = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000248555 to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + l - 15. Let y be b(-5). Solve 3*n - 5*k + 2 = 0, 0 = -2*n + y*n - 4*k + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, o: 2}. Give prob of sequence uou.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-117))\/((-6)\/(-12)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/13240 and 49\/44916700.\nAnswer: 89833400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.04, 0.22, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 34*d + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-12)\/(-10))\/(6\/15)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1519.\nAnswer: 8\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 3\/4, -1\/4, -0.2, -2, -107?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69116 and 4662?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18661864 to the power of 1\/2, to the nearest integer?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5028?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l - 3. Let s be (-3 - -6)*(l - 0). Let c(x) = x + 5. Let a be c(1). Solve a = -3*p - s*n, -n = -3*p + n + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 15 = -2*l. Let k(n) = -4 + 2 + 5 - 6*n. Let h be k(-7). Solve 0*j - 4*c = 2*j + 6, -l*j + h = -5*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 5*f + (-2 - 2 + 2)*(-3 - 2*f + 3))*(0*f**3 + 0*f**3 - 2*f**3).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 16, -2*b - 499 = -v - 516. Suppose -2*o + 0*o - 6 = 0. Sort o, v, 1 in ascending order.\nAnswer: o, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.066 + 6.734. Let n = -7 + h. Sort -0.3, 1, n in increasing order.\nAnswer: -0.3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egga when four letters picked without replacement from {f: 1, g: 2, a: 2, i: 2, e: 1, s: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -2645?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from rrzzzlrwwrzzwwr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 8*z**2 - 4*z**2 + (-1 - 3 + 2)*(-21*z**2 - 621*z + 621*z) to the form x*z**2 + c + q*z and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24569.23 micrograms in grams?\nAnswer: 0.02456923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4457819 and -117\/10.\nAnswer: 44578190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*z + 35, -n - 24 + 9 = 3*z. Let p = 162 - n. Suppose l + 2*l - p = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.2390546 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 5*b - 3. Let k be q(3). Suppose c - 11 = -k. Calculate the greatest common factor of c and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 32*h. Let c(d) = -11143*d - 192. Determine c(l(u)).\nAnswer: -11143*u**2 + 356576*u - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10633 (base 8) to base 9\nAnswer: 6157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:10 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 1. Let y(k) = -16 + 9 - 6*k + 9. Let l(g) = g + 4. Let i be l(-5). Let m be 4 - 0 - (2 + i). What is m*y(x) + 4*u(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/(n**8*n*n*n))**(10\/7)*((n**(-1\/3)\/n)\/n**(-1\/3))\/(n*n**(-1\/2)*n*n)**24 assuming n is positive.\nAnswer: n**(-527\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*u + 5. What is the remainder when (8\/(-2))\/(-8)*-6*-9 is divided by u\/(-1*(-6)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3 + 406404*c**2 - 2845000*c + 2438592 = 0.\nAnswer: -101608, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560186 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3534 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37905 and 161553.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9841.629 litres to millilitres.\nAnswer: 9841629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 634 + -455. Let l = -182 + h. Which is the smallest value? (a) 12 (b) 4 (c) -2\/11 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 3. Let y = -63\/2 - -6049\/192. Let w = 95\/192 + y. What is the nearest to w in -1\/2, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.1762844 and -4942.\nAnswer: -4939.8237156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171)*3)*-1*4)\/(sqrt(54)\/(sqrt(384)*-1 - sqrt(6))))**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2977 + -2941. Solve 22*q - u = -58 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.0649 less than 2.6381?\nAnswer: -22.4268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -405012, -810078, -1215144, -1620210, -2025276?\n\"Answer: -405066*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 248583580823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 82*g - 19. Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 393364*s - 50546.\nAnswer: 393364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2338 and 74316837.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3 - 3)\/(-4). Solve 0 = -0*l - 3*l + 5*o + 12, q = 3*l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1. Let k be 27\/(-18) + 4\/8. Let o(a) = -a + 6. What is k*o(g) - 3*d(g)?\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + y - 508, 5 = -3*y + 2*y. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 0*j**2 + 2*j**2 + (-2*j**2 - j + j)*(-2 + 1 - 1) - 4240 + 4240 + 444*j**2 as n*j**2 + w*j + r and give n.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8*t - 9 = 0. Let x be -4 + 2 - t - 0. Is 12 a factor of (-12)\/(-16)*(41 - x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 12*k**2 + 10*k + 7. Let b be l(11). Solve 17*p - 232*p**4 + 44*p**2 + b*p**4 - p + 34*p**3 = 0 for p.\nAnswer: -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*n + 4*q = 20, 0 = -4*n - 5*q + 36. Solve c - 2*z = -4, -2*z - 6 = n*c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/(-16) + 6\/8*-1. Suppose -z - 2 = b, -f*z - 5*b + 2*b - 2 = 0. Suppose -2*t + 264 = n + 75, -z*t + 8 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*a - 156*a + 2277. Solve 3*y + 84 = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477 divided by -12\nAnswer: 159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/2)\/m)*m*m*(m**(-8\/9)\/m)\/m*m)**(4\/17) assuming m is positive.\nAnswer: m**(94\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 - 11*f. Let v(x) = 5*x. Determine v(i(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*f + 166361 = -215*f. What are the prime factors of f?\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-15)*(-15)\/(-6))\/(129\/11008*-16).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 34. Suppose -3*y = f*m - 62, 5*m + y = -3*y + 66. Is 9 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n**3 + 5*n**2 + 3*n. Let b(x) = x**3 - x. Suppose 4*q - 3 = 1. Let r(l) = q*m(l) + 3*b(l). Find the third derivative of r(g) wrt g.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(18*n + n - 10*n) + 0*n - 2*n + 3*n + (-4*n - n + 4*n)*(-1 + 5 - 2).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.53594 rounded to 0 dps?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -13*r**6\/45 - 25*r**5\/12 + 191*r**4\/12 + 2*r - 152. Let i(w) be the third derivative of j(w). Differentiate i(g) wrt g.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-3)\/12 - -2. Sort 4, i, -3 in descending order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.053 (b) 1 (c) 4\/1255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4363717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -3\/2, 1\/6, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - i - 7 = 0, -t = -14*i + 19*i - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1281114 and 167787?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/5)*(-3)\/15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -40828.\nAnswer: -163312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*j - 139, -241 + 45 = 4*j - 4*u. Let l = j - -37. Is -16 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31838124?\nAnswer: 2, 3, 103, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8182*a**4 - 47*a + 35 wrt a.\nAnswer: -98184*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79746 + 389981. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:56 PM?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -18, 23 = -h + 2*u + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320.1853314 rounded to 2 decimal places?\nAnswer: -1320.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + -28. Let x = i + 98. Let y = 0.07 - 0.57. Which is the closest to 0.03? (a) x (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4756164863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-100) - 124*3\/240) + (-267)\/(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28094 - 28091. Solve -5*h = 4*v - 26, -j*v - 94 = 2*h - 110 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(-40)\/540*18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288 - -407. Let o = 124 - c. Let w be (-1 - -3)*(-1)\/10. What is the smallest value in -0.4, o, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (-1749 - -1758) - (-1 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16230648 to the nearest integer?\nAnswer: 4029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 12. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(2 + (-175)\/10 - 3). Let l = -173 + q. Suppose 0 = 4*i - 0*i + 5*z - 28, 0 = 4*i + 2*z - 40. Calculate the least common multiple of l and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/5*3*(-5)\/15?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1 + 0 - (-5 + (sqrt(117) - (sqrt(117) + (sqrt(117) + 1 - sqrt(117)))) - sqrt(117)))**2.\nAnswer: 60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -33.031. Let p = 0.269 - t. Which is the closest to 1? (a) 0 (b) -1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 5745, 1\/165, -5?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1306 by -12.\nAnswer: 653\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1871334 divided by -623778.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17110 divided by 1711\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 268 in 5\/3, -3, -7\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 - r. Let o be m(-1). Let n = -1901\/2442 + -70\/111. Find the common denominator of 1515\/(-6)*o\/(-15) and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j + 89*j - 333*j - 209*j.\nAnswer: -411*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 5351\/4 and 1339 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 + (-56 - ((-33 - 1) + 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42854.9 and 6.15.\nAnswer: -263557.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11559 + -3?\nAnswer: 11556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -i - 3*v, v = -5*i + 4*v - 20. Let y be i\/10*4*-5. Factor 3*r + r - r - 2*r - 1 - r**3 + r**y.\nAnswer: -(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 538715 and 1322?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-4))\/(-4 + -2 + 5). Suppose -2*k - 6 = c, x - 3*k + 222 = -145. Let h = -176 - x. 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: Expand (-2 - 4 + 1)*(l**2 - 3*l**2 + 6*l**2)*(3 - 3*l**2 - 3).\nAnswer: 60*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -22\nAnswer: -27\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 4*d - 42, -5*x + 2487 - 2607 = 5*d for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + -37)*1\/2 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2971 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 10*y**2 + 8*y + 8. Suppose -2*l + 4*a + 30 = 0, -2*a + 7*a + 33 = 2*l. Calculate s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrrlrlrrplpp. What is prob of sequence bl?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94074 is divided by 46116.\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-32)\/(-28) - 0?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)**(-6\/29)*(r**(-3\/2)*r)\/(r\/(r**(-4)\/r)) assuming r is positive.\nAnswer: r**(-397\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -288 - -314. Let w = 278 + h. What is the highest common factor of w and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 16*g - 570. Calculate the remainder when 33 is divided by (1\/(-2))\/(((-3)\/g)\/1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**6\/10 + 9*t**5\/40 - t**3\/4 - 11*t. Determine h, given that r(h) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 221 - 77 = 0. Solve -t*g - 4 = -14*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -7 + (10 - 7) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108\/13? (a) 0.2 (b) -13\/21 (c) 2 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211 (base 3) to base 14.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x**3 + 13*x**2 + 13*x + 15. Let w(r) be the first derivative of 2*r**4 + 2*r**3 + 3*r**2 + 7*r + 58. Calculate -6*g(b) + 13*w(b).\nAnswer: 2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 3}. What is prob of sequence qttt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m**3\/3 - 4*m**2 + 8*m - 204. Let g(z) = -z**3 - 3*z**2 - 3*z - 3. Let b be g(-3). Is 16 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 1\/2*r**2 + 1\/3*r**3 + r + 2 - 1\/4*r**4. List the prime factors of z(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 7:39 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 0.05. Let n = s + 1. Let y = n + 0.18. Which is the second smallest value? (a) -3 (b) y (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y + 14. What is the remainder when q(14) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4)*0 - -348. Let c = l - 152. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 657.9507ml?\nAnswer: 0.6579507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3670 * -0.43\nAnswer: -1578.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350624 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -201, -293, -475, -777, -1229, -1861, -2703?\nAnswer: -3785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/19, 81, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**2 + 7*r**2 - 14*r**6 - 8*r**2 wrt r.\nAnswer: -1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0366274 and -5650.4.\nAnswer: -5650.4366274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(-1 + 1 + d**2) + 71*d - 2 + 3*d**2 - 40*d - 34*d in the form i*d + j + t*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95301429 + 0.0169.\nAnswer: 95301429.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*l, 0 = -11*q + 13*q - 5*l - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 - 2*f - 3*f + 0*f + 2*f**3 + 20*f**2 - 20 = 0. Calculate f.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55188)\/(-5913))\/((-2)\/1)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 8:36 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 4*x, 0 = -2*v + 3*x - 4 + 14. Let a be (-1)\/(-1 - v\/(-4)). Let o = a - -3. Solve 5*l = -2*u + 4 - 12, l = -o*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.11 + -3.21. Which is the second biggest value? (a) -5 (b) 1 (c) 18\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1 + 2)*-3 - (sqrt(1053) + sqrt(1053)*2 + 4))*-1.\nAnswer: 13 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.2. Let o be (((-378)\/162)\/(49\/21))\/((-1)\/(-5)). What is the nearest to u in -0.1, o, -0.22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 7:06 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.95 - 13.3. Let m = j + 21.12. Let l = -17 - m. What is l rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-20)*-18*2\/(-3). Let n be -6*(-136)\/(-396) + (-2)\/i. Is n > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163719449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*b + 4*f, 7*f + 24 = -2*b + 12*f. Let j be 3 - -2 - (4 + b). Let r(s) = s - 16. Determine r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -55, 0, -144, -4 in ascending order.\nAnswer: -144, -55, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 92 - 65 = 0. Let p(q) = 5*q - 8. Calculate p(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -7a022a2?\nAnswer: -7a022a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 4, b: 5, f: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*z - 1223*z = -199*z - 5332 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207095 + 119597 = 4876*n for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4880, 4895, 4914, 4937, 4964, 4995?\nAnswer: 5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 2090, 7516, 18264, 36134, 62926?\nAnswer: 100440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -518423\/54 - -9601. Let t = -732 + 19766\/27. Let x = o - t. Which is smaller: x or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -4. Let w(p) = -p**2 - 6*p - 43. Let s be w(-8). Does 2 divide (-11)\/(-66) + -1 + s\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 382456*b**4 + 400396?\nAnswer: 1529824*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2346591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3885741 or 3885742?\nAnswer: 3885742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 237, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*2.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1012?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1157, -1\/9, -2\/21.\nAnswer: -1\/9, -2\/21, 0, 1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c + 21*c - 13 - 11*c + 4 as n*c + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*r = -340*r. Solve -q + 15 = -4*u + 4, -u - 2 = r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14023230 (base 5) in base 11?\nAnswer: -97a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/(s*s\/(s**(-2\/7)\/s*s)))\/(s**4*(s\/(s**5*s)*s*s*s)\/s) assuming s is positive.\nAnswer: s**(-53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -285.\nAnswer: -1\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/sqrt(12) - (sqrt(2)*-1 + -2)**2.\nAnswer: -6 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 55*v - 12. Let o be z(-10). Suppose 3*i - o = 1243. List the prime factors of i.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 - 2. Let r be j(-1). Solve 0 = -5*u + r*b + 25, -2*b + 0*b = 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 9*y + 24. Calculate d(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32836.2l in millilitres?\nAnswer: 32836200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 61.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14437 (base 8) to base 6.\nAnswer: 45435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 5, 8073?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864507?\nAnswer: 1864507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-175) + (-181)\/(-7). Let a(b) = -28 + b**2 + 37 + w - 7*b. What is the remainder when a(7) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4168 (b) 12 (c) -3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/659 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -19\/124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + 4.2. Suppose -2*i + 14 + 8 = -3*u, 9 = i - u. Suppose 4*q - 3 = i*q. What is the smallest value in -1\/3, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 2*t**2 - 2*t**2)*(123 + 32 - 70) - 20*t**2 + 93*t**2 - 40*t**2.\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939.1453 years to months.\nAnswer: 11269.7436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 45 (c) -122 (d) -0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4))**(-21)\/(z*z**31)**(1\/25) assuming z is positive.\nAnswer: z**(2497\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((0 + -5)\/(-75)). Let f = 9 + -3. Let n(a) = a**2 + 7 - t*a + 5*a + f*a. What is n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 2*k**2 + k + 1. Let q be n(-2). Find the common denominator of 16\/3 and 3\/q + 580\/48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i + 0 - 1 + 3 + 0*i. Let b be s(-1). Suppose -16*k = -11*k - b. Solve c + k*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-4*2*sqrt(1100) - (2 + (sqrt(1100) + -4 - sqrt(1100))**2))*-3 + -4.\nAnswer: -960*sqrt(11) - 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {h: 2, d: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + j = 78, 0*k + 2*k - 4*j - 62 = 0. Let v(z) = z + 4. Let r be v(3). What is the second derivative of -r*y - 38*y**2 - k*y + 7*y wrt y?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3459424 decades to years.\nAnswer: 3.459424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994842647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 873*p - 18 = -874*p, 23 = -4*u + p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3488 divided by 218\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 43207 = 42946 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-2)\/(-12))\/((-4)\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + 12 + -4 + -4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-14))\/4 + 3\/((-252)\/(-44)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 42*q**2 - 589*q - 92. Determine h(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317*d**5 - 68*d**2.\nAnswer: -19020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 7*b + 7. Let d be z(-6). Suppose -d = -5*x + 2*f, 3*x - 8 = -f + 2*f. Let i = 22 + -10. Solve 4*g - i = 0, 19 = -t - t + x*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*1\/6*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d - 20. What is a(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -220028, 0.6, -3, 1\/8 in ascending order.\nAnswer: -220028, -3, -3\/2, 1\/8, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**5 + 2533*t**3 + 5*t + 484 wrt t?\nAnswer: 40*t**3 + 15198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17105, 17452, 17799, 18146, 18493, 18840?\n\"Answer: 347*n + 16758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 530070571 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**5*j)\/j)**(-1\/3)\/(j**4\/(j\/j**(7\/3))))**(-20))**(1\/22) assuming j is positive.\nAnswer: j**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 11676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5359.52869 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.4436l in millilitres?\nAnswer: 416443.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 7517934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -s + 3*s + q, -4*s = 3*q - 22. Sort -0.05, -4, s, -0.1 in increasing order.\nAnswer: -4, -0.1, -0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2*w + 5)*(-3*w**2 + 5*w**2 - w**2).\nAnswer: -2*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:04 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - 89126733 + 89127467 + 11*d**2 + 3*d to o*d**2 + s + p*d and give s.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1496*-0.05.\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/7 + 48*q**3\/7 - 332*q**2\/7 + 528*q\/7 - 242\/7.\nAnswer: -2*(q - 11)**2*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 1 - 1)*(9 + 3 - 4)*(-4 + 1 + 10)*(-3*d + 3*d + 2*d) to the form a*d + z*d**2 + q and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1\/1*(-13 - -15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let g(z) = -3*z + z**2 - 2 + 2 - 2. Let w be g(4). Let j(h) = -5*h + w*h + 4*h. Calculate k(j(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9 - (-201 - -188) - (0 - 3 - -37)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 18. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -212 - 101?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k + 4*k**2 - 2*k**3 + 15*k + 4*k**3 - 2 to a*k + x*k**2 + r + p*k**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 25. Let h = 1365\/29 - v. Let j = 41 + -38. Which is the second biggest value? (a) 0.1 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12120120 (base 3) in base 5?\nAnswer: 112230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4607 (b) -3\/7 (c) 1\/3 (d) -1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-24)*-4)\/(4\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:07 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*y**3 - 2*y + 5*y - 3*y + 63*y**3.\nAnswer: 106*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0*d**7 + d**2 + 0*d + 0*d**6 + 1\/60*d**5 + 0 + 0*d**4 + 0*d**3 + 1\/168*d**8. What is the third derivative of s(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 15 - 55)*(2*p - 3*p + 0*p) + 14*p - p - 3*p)*(-13 - 4 + 2) to y*p + j and give y.\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14632 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17965, -17912, -17875, -17860, -17873, -17920, -18007, -18140?\n\"Answer: -b**3 - 2*b**2 + 66*b - 18028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 7 + 12 - 4*g + 2 + 0.\nAnswer: -5*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321*d**6 + 115*d**2 - 2*d wrt d.\nAnswer: 38520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78491*u + 36006 = -79197*u for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -1. Let k = -89 - -88.7. Which is the second smallest value? (a) s (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50 - 16100*x + 16100*x - 33*x**2 - 48*x**2 wrt x?\nAnswer: -162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4320))\/(sqrt(66)\/(sqrt(22)\/sqrt(2))) - (sqrt(50)\/(-4*sqrt(10)) + 5*-4*sqrt(5))**2.\nAnswer: -32805\/16 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*q + 628 = 1367 + 1691 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249373032?\nAnswer: 2, 449, 347821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 97. Let a = 176 + -169. What is the least common multiple of a and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405209821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1570 + 12110 = 138*v + 1950 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*c - 38 = 12, 0 = 5*c for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*d - d, 0 = 2*z + 4*d + 12. Let h = -9 - z. Let a(p) = p + 8. Let f be a(h). Let j(k) = -2*k - 1. What is j(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 46*i**2 + 39*i - 102. Calculate the lowest common multiple of f(46) and 6.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -8. Suppose -t = -r*t. Suppose -2*o + 0*o + 16 = 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: 12060231 (base 7) to base 16\nAnswer: 1060d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 27*l + 3*a - 18 = 0, 3*a - 12 = -l. Let n be ((-16)\/3)\/1*-3. Solve -4*k + 11 = l*p, -4*p - 2*k + 2 = -n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 36377*r + 29987. Let d(p) = -12094*p - 9996. Let b(s) = -8*d(s) - 3*g(s). Differentiate b(k) with respect to k.\nAnswer: -12379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82104 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b**2 - 8. Let d(c) = -5*c**2 - 3. Suppose -3*z = -0*z + 51. Let n = z + 9. Let h(g) = n*d(g) + 3*l(g). Let r(m) = -5*m**2. Calculate r(h(v)).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -69*(51\/(-45) + 2\/15). Suppose g - 122 = -o. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and 106731?\nAnswer: -8431749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 - -126. Let i = -27.71 - -28. Let z = i + 0.01. Which is the biggest value? (a) 0 (b) h (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*u, 3*g - u + 6*u + 30 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*k = 3*c - 28, 3*c = 2*k + 30. Calculate the smallest common multiple of c and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.245 - -122.245. Let r = j + -122.3. Let f = 0.02 + 0.38. Put r, 0.04, f in decreasing order.\nAnswer: f, 0.04, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (5 - 6 - ((-14 - -75) + -23))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1112400 by 278100.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 + 30*l**2 + 13*l - 5. Let y be n(-7). Solve -15 = 5*i - 5*k, y*i + 1 + 8 = -k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((480\/18)\/(-8)*1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*s**3 + 3*s**3 + 0*s**3)*(-7 + 2 + 3) + 0*s**3 + 0*s**3 - 3*s**3.\nAnswer: -55*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 6*z**5 + 2*z**5 + (-z + z + 2*z**3)*(0*z + 0*z - z**2) - 2*z**5 - 4 + 4 + 0*z**5 - 3*z**5 + z**5 + 2*z**5 - z + z + 3*z**2 - 3*z**2 - 2*z**5.\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -332?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, l: 2, q: 3, v: 2, g: 3, r: 2}. Give prob of sequence iv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0 + 0)*(3*d + d - 5*d)*(d**3 + 10 - 10).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 2*h - 14 + 15. Determine c(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Suppose 5*c + b = -13 + 41, 0 = 5*c + 2*b - 31. Suppose -u + c*u - 5*a - 63 = 0, 0 = f*a - 25. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, 0*r - 2*l = -3*r + 3. Let f be (40\/32)\/(r\/4). Solve 5*y - 4*y = 3*k + 11, 3*k + f = -2*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, v: 1, m: 1, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 1557072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 16*z + 36 = 0. Solve -3*w - z = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110645*m**2 + 3857*m**2 - 16740*m**2 + 32119*m**2.\nAnswer: 129881*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50300191, -50300185, -50300179?\nAnswer: -50300173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*n**4 - 49*n**4 - 28*n**4 + 5*n**4 - 2*n**4 - n**4 + (-n**3 + 2 - 2)*(1 - 1 - n).\nAnswer: -134*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) - 3*sqrt(324))\/(sqrt(24)\/sqrt(128)).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-9 - -5) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2151564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*n + 14, -5*t + 0*t - 180 = -71*n - 9*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)*c*c\/((c\/c**13)\/c))\/(c**14\/(c\/c**(-14))) assuming c is positive.\nAnswer: c**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v**3\/3 - 1930*v**2\/3 - 2402*v\/3 - 160 = 0. Calculate v.\nAnswer: -240, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -32*l. Let x(g) = -68*g. Let q(m) = -259*m. Let c(v) = -11*q(v) + 42*x(v). Calculate c(k(t)).\nAnswer: 224*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + 13*b - 92 in the form j + o*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00446 * 495.\nAnswer: -2.2077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -685 + 721. Calculate the least common multiple of 258 and w.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + -3 + -5 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04849 + -0.10849. Let c = -11 - -8. What is the fourth smallest value in -4, 0.5, c, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 6373080.16?\nAnswer: -6373080.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 + p**2)*(44 + 4*p**3 - 44 + (-6 + 6 - 5*p)*(-6*p**2 + 4*p**2 + 3*p**2)).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -178 - -168. Put n, 0, -2, 0.5 in descending order.\nAnswer: 0.5, 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55 + 50)*1*-1. Suppose c - l*y + 234 = 1213, -3*c + 3*y = -2937. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(5\/(10\/4)). Suppose a + y - 4 = 0. Solve o - a = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 220.34622 months?\nAnswer: 0.018362185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800811881.\nAnswer: 800811881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 - 5649*d + 2*d**4 - 24*d**3 + 5649*d + 29*d**3 to the form g*d**4 + r + i*d**2 + m*d + x*d**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 73.\nAnswer: 5\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 2*c**3 - 2*c**3 + c**3 + 4*c**2 - 4*c**2 + (-4 + 4 - 3*c)*(-4*c**2 + 3*c**2 + 3*c**2) as a + m*c**2 + o*c**3 + p*c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*q + 152. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6785*q**4 - 769*q.\nAnswer: 81420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.2 - -18. Let t = 3 + n. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78549220454 take away 0.04?\nAnswer: 78549220453.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7518 divided by 2506?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165752, -331058, -496364, -661670, -826976?\nAnswer: -992282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = j - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2437*r + 3987 = -152250 - 121581 for r.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27108292*22\nAnswer: -596382424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 6*v + 2. Let w(s) be the first derivative of 3*s**3 + 13*s**2\/2 + 5*s + 515. What is -13*k(u) + 6*w(u)?\nAnswer: 2*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 394697 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/90 + i**5\/5 + 3*i**4\/2 + i**3\/2 - 7*i**2. Let h(x) be the first derivative of m(x). Factor h(v).\nAnswer: 4*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -29, -91, -207, -395, -673, -1059, -1571?\n\"Answer: -3*h**3 - 5*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3074 - -3077. What is the second biggest value in i, 0.2, 2.8, 0.4?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 1\/3*j**2 + 0*j**3 + 0 - 1\/3*j**4 + 0*j = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -454 + 454.992. Let u = y - 0.99196898. What is u rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from {h: 2, y: 10, n: 3, c: 5}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.011, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(6\/15))\/(-1). Let y = d - -4. Let b be (1 - y)*(-6)\/(-4). Is 0 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/27027 and -19\/2267811.\nAnswer: 24945921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - m**4 - 196*m**2 - 7*m - 216*m**2 + 414*m**2 - 7*m - 11*m**3 - 20*m to the form g*m**4 + p + d*m**3 + x*m**2 + h*m and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15214 is divided by 7604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 4. Let u be l(4). Suppose 0 = -a + u*a - 9. Suppose i - a*i = -30. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 3*j + 1. Let q be 2*(7\/4 + 11\/(-44)). Determine p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.88793 and 0.5?\nAnswer: -0.943965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050 = 24850234*s - 24850152*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 426 = 5*z, 14*z - 18*z - 922 = -2*l. Let r = 472 - l. Solve 2*v + r = -4*t - v, t = -4*v - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9387 + -9386. Let z(b) = b. Let s(x) = -x + 36. Determine n*s(y) + 2*z(y).\nAnswer: y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/105 + 1\/(-3). Which is the closest to -1? (a) -4 (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2264\/(-416) - -6 - (40\/40 + (-3)\/4).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789 - 9*y**3 - 894 - 895.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -7, 3, 9, -1, 0.\nAnswer: -7, -3, -1, 0, 3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212234687?\nAnswer: 7, 977, 31033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*o - 2106 = -239*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31111746 is divided by 178?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 450 - 120. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256.86724 + -135.8546. Let x = f - 90.0115. Let m = x + -31. What is m rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15145*c + 15172*c - 162 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15 - (3 + -5))*-2. Let s = -40 + 17. Let w = s + k. Solve 2 = -j - b, -w*b + 2 = -j - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-421 - -417) + -1 + (-3 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -945 (base 12) to base 16\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -69.\nAnswer: -7\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1480 > -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (3 - (22 + -11 + -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 14. Let q be f(13). Let l be ((-63)\/69 - -1) + 0\/q. What is the biggest value in -0.3, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132763157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - 3. Let g = d - -119. Let v = -1.2 + 1.2. Which is the closest to v? (a) g (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87.098 + 87. Let b = a + 0.598. What is the smallest value in 13, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 23*g = -7 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495445939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 1530*f**2 - 585225*f.\nAnswer: -f*(f - 765)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25451202?\nAnswer: 2, 3, 7, 23, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 91049172?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - l - 5)*(-l - 9 + 9) + (0 + 2 - 6)*(-4*l**2 + 4*l**2 - 3*l**2) + l - 2*l**2 - l as r + q*l + s*l**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3\/7 + 174813*r**2\/7 - 349635*r\/7 + 174819\/7 = 0 for r.\nAnswer: -58273, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -465+-0.5\nAnswer: -465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 5*g**2 + 10*g + 1. Let k(t) = -5*t**3 + 14*t**2 - 30*t - 3. Give -3*k(q) - 8*m(q).\nAnswer: -q**3 - 2*q**2 + 10*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34315390 and 1272.\nAnswer: 34316662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -15*q + 24. Suppose 2072 = q*c + 8*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-9 - 0 - (15 + -6 - 14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2198\/5 + 440. What is the biggest value in -0.5, -0.02, 10, f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12417, 12696, 13477, 15012, 17553, 21352, 26661, 33732?\n\"Answer: 42*w**3 - w**2 - 12*w + 12388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 66*h**3 + h**2. Let j be y(-1). Let s(k) = -k**2 + 41*k - 363. Let z be s(13). What is the common denominator of z\/(-4)*1001\/j and -123\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from {u: 1, e: 1, b: 7, g: 10}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2 + -3) + 0. Let w be (1*(4 + 0))\/7. Put w, r, 5 in decreasing order.\nAnswer: 5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28344?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*o - 36, -z = -5*o + 4 + 17. Let r be (z\/96)\/(2\/(-12)). Which is the smallest value? (a) 5 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12321834, 12321850, 12321866, 12321882?\n\"Answer: 16*p + 12321818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 2, y: 7}. Give prob of picking 3 r and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 2\/55 (c) 112177 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8372 divided by -92.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 10. Let v(k) = -2*k - k - 7 + 5*k. Determine v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2331130022 + 4?\nAnswer: 2331130031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdxddd. Give prob of picking 3 d and 1 x.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376\/2752*-2*1\/(-18)*-8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = s, 2*s - 5*p = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2337 - 3928. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**3 - 3*a**2 - 3*a - 4. Let k be n(3). Let i = -17335 - -17367. Let o = k - i. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.17, 2\/11, -2, -2\/4943?\nAnswer: -2\/4943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27039\/107 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 17*t - 24. Determine h(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*a**2 - 36\/5*a - 64\/5.\nAnswer: -2*(a + 2)*(a + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 2 in descending order.\nAnswer: 2, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00668063 to four dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l. Let g(y) = 83*y**2 - y - 42*y**2 + 2*y - 44*y**2 - 8*y. Let n(d) = -3*c(d) - g(d). Calculate n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*l - 20 = q, 3*q = 5*l - 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 90*c**2 - 3*c - 95. Is 19 a factor of l(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + -151 + 204 + (40 + -1 - (-2 - -5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15000*h - 15002*h = 19 - 5 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose 0*i + w*i = 0. Suppose 5*d - 3*d - 34 = i. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -338, -677, -1020, -1367?\n\"Answer: -2*h**2 - 333*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136609, 273135, 409661, 546187, 682713?\nAnswer: 819239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*j*z**6 - 2*j*z**4 + j*z - 3*z**2 + 18*z wrt z?\nAnswer: 3840*j*z**3 - 48*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 20*t - 5. Let p be s(10). Sort 4, p, 7, -1 in ascending order.\nAnswer: p, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2 - -1)\/(5370\/(-285) + 19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -58. Let u be (1\/c)\/((-4)\/(-18))*-8. Suppose 4*g - g - 12 = 0. Solve 2*h = 0, 7*h = -g*z + u*h + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*x + 20 = 0, -2*u = -5*x + 2 - 27 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 39*w**2 + 120*w + 247. Calculate v(-36).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let y(o) be the second derivative of o**4\/12 - 2*o**2 + 20*o. Calculate y(a(i)).\nAnswer: 4*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 + 46*f**4 + 122*f**3 + 34*f**2 - 124*f - 80 = 0. Calculate f.\nAnswer: -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(55*d**2 - 24*d**2 - 9*d**2) + (d - 4 + 8 + d)*(d - 4*d + 5*d).\nAnswer: -18*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 31*q - 340. Let p(f) = 9*f - 96. Let b(g) = 14*p(g) - 4*w(g). Let l(v) = 3*v**2 - 13*v. What is l(b(m))?\nAnswer: 12*m**2 + 166*m + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 6667.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-64)\/(-30) + (-1990)\/14550. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7577 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2222 + 11?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319 - 314. Let n(o) = 8*o**2 - 12. Let r(t) = -3*t**2 + 5. Suppose -60 = -3*a - 24. Calculate a*r(s) + g*n(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3345 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38852 + -0.18852. Sort -1, 4\/3, -2\/9, 23, r in decreasing order.\nAnswer: 23, 4\/3, r, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4760 + 6167. What is the least common multiple of 1206 and k?\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(((a\/(a**(-4)*a*a*a)*a)\/a)\/a*a*a)\/a)\/a**(5\/11)*(a*a**(4\/7))**(2\/13) assuming a is positive.\nAnswer: a**(2790\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*f**6*x - f**6 + 4*f**2*x - 7*f*x wrt f.\nAnswer: -17280*f**3*x - 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0794825 + 27861.13\nAnswer: 27861.2094825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -89.2 (b) 1\/5 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*j**4 - 49*j**4 - 11*j**4 + (-j**3 + 0*j**3 + 0*j**3)*(0 + 0 + 2*j) + 0*j**4 - j**4 - j**4)*(3*j + 0*j - 2*j).\nAnswer: -45*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 0 + -4 + (0 + (sqrt(11) - sqrt(176)) - 1*sqrt(396)))**2.\nAnswer: -24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73293.\nAnswer: 3, 11, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/25)\/((-4)\/1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*a**2)*(0 - 3 - 6)*(-4*a**2 + a**2 - 3*a**2) in the form o*a + d*a**2 + h*a**3 + m*a**4 + y and give m.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i**(-4\/9)*i)\/i)\/i)\/i)\/i**(-3\/4) assuming i is positive.\nAnswer: i**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -7*s + 197 - 5\/2*s**2. Calculate j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + (-20 - (-16 + -14)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62900 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 2*y**3 - y**2\/2 - 4. Let f be o(1). Suppose -f*w + 2 = -13. Let b(m) = m - 1. Let c(a) = -a + 2. What is w*b(h) + 2*c(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 + 1 - 6*d**2 + d**3 - 7*d + 6*d**2. Let i(c) = -3*c**3 + 8*c**2 + 13*c - 3. Let y(p) = -3*i(p) - 5*z(p). Factor y(j).\nAnswer: 4*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6125 + -6123. Suppose 2\/9*f + 2\/9*f**z + 0 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + (-1014)\/3696. Let u = 163\/1144 + z. Sort -0.5, u, -1 in descending order.\nAnswer: u, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + d**3 + 3*d**3 + (-4*d**2 + 31*d**2 - 7*d**2)*(-2 + 2 + d).\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**3 - 2*d**2 - d. What is i(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3563.8 + 3563.4. What is the fourth biggest value in 3, 0, 0.2, o, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 2*k**3 + 9*k**2 + 7\/12*k**4 + 0 + 0*k. Differentiate m(o) wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334*b**2*t**2 + 65*b**2*t - 2*b**2 - 3*b*t**2 + 6315 wrt b?\nAnswer: -668*t**2 + 130*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*i + 607, -4*i + 389 + 87 = 4*m. Let c = i - 106. Let l = c - -99. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 5004 = 8*o - 159*o - 101*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400931 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257032.\nAnswer: 2, 37, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 474\/5. Is z greater than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjbbbbbbbbbbbbjjbb. What is prob of picking 1 b and 1 j?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 times -3.6647?\nAnswer: -2653.2428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjuuuujjujuuuuuuuu. What is prob of picking 3 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*(20\/(-8) + 3). Suppose -z = -x*z + 2*m + 95, 0 = 5*m - 25. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*s, -4*u = 48*s - 49*s + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-29)*q**18*q)\/(q**(-2\/5)\/q**(-40)) assuming q is positive.\nAnswer: q**(-248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 48*z - 6*z**4 - 20 + 3\/5*z**5 - 48*z**2 + 24*z**3. Solve c(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 + 6*q + 6. Let g be u(-6). Let o be 1\/(2\/g - (-52)\/(-192)). Let m = o - -8. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2379 + -79707.822.\nAnswer: -79707.5841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:59 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/12 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1100111111010011 (base 2) to base 13\nAnswer: 1b2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. Let b be (-25)\/(45\/(-100) + 1\/5). Let s(r) = 5 - b*r**2 - 109*r**2 + r**3 - r + 212*r**2. What is s(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a microgram in nanograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.732 times -0.18?\nAnswer: 15.97176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(4500)*-1 + 1.\nAnswer: 1 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = 18. Let o be (14 - 5)\/(q\/16). Let j = -10 + o. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50621, 0.4, -4 in increasing order.\nAnswer: -4, 0.4, 50621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 79, 255, 595, 1153, 1983, 3139, 4675?\nAnswer: 6645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 10. Let c be 24\/(-9)*(-8)\/(16\/3). Let w(p) = c*p - p - 400 + 401. Determine w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, n: 3, p: 2, e: 3, f: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/10*-1*(-4)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 + 100448*c**2\/11 + 200890*c\/11 + 100444\/11.\nAnswer: 2*(c + 1)**2*(c + 50222)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1419, -2.9, 3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -17, 0.0224 in descending order.\nAnswer: 1\/4, 0.0224, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -3\/22, -1\/5, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 337740499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/6 + y**2\/2 - 2*y\/3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = k. Determine c so that 39*c**4 + 2*c + 6*c**5 - 10*c**2 - 5*c**4 + 68*c**3 + 14*c + 66*c**k = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6165 + 6.\nAnswer: 6171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -1 + 38 - 14 - -22\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 + -114. What is the highest common divisor of g and 1254?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -44. Let p = 57 - v. Suppose 3*c - p = 1. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1459, -2911, -4363, -5815, -7267, -8719?\n\"Answer: -1452*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -276 + -725?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -135. Suppose 4*g - k = d, -3*k - 1 - 44 = -3*g. Suppose -3*x + 70 = 2*l, -5*l + 167 - 57 = 5*x. Calculate the highest common factor of g and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/16 and 95\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 343009, 342906, 342803, 342700?\n\"Answer: -103*o + 343112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 7*f + 7. Let r be p(5). Let s be (-10 + 1)*(-8 - -2). Let a be 12\/s + (-2)\/(-18). What is the third biggest value in 1, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632 (base 7) in base 16?\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 3. Let y be h(3). Let u = 4 - y. Let m be (-1 - 6\/3) + u. What is the closest to 2 in -0.1, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x**3 - 1. Suppose 0 = 3*d + 12, 0 = 2*z + 5*d - 6*d - 36. What is the remainder when a(-2) is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 149934 and 4.8.\nAnswer: 149938.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 7. Let y be m(13). Let u be 1\/(-4) + (-1)\/(-4). Differentiate u*b**2 + 2*b**2 - 3 + y with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1155, 4566, 10233, 18156?\nAnswer: 28335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -7, 658, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*w**2 + 225*j**3*w - 471*j**2*w + 149*j*w**2 - 289 wrt j.\nAnswer: -12*j*w**2 + 1350*j*w - 942*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160, -164, -170, -178, -188, -200, -214?\n\"Answer: -g**2 - g - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37482545 is divided by 703?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 6 = x, -4*x + 28 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 7*s**2 + 5*s - 7. Determine f(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89 and 3977880.\nAnswer: 354031320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 97 and -0.031703.\nAnswer: 96.968297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34841455 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.5 - -29.5. Let v = s - -26.6. Put v, -3, -0.5 in increasing order.\nAnswer: -3, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6279768 kilograms?\nAnswer: 627976.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + -8 - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*t, -2*b = -t - 14 - 2. Let y = -4 + b. Suppose 11*k + 3*o = 6*k + 79, -k - 5*o = -29. What is the remainder when k is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 3464*k - 17189. Calculate u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t**2 - 18. Let i(n) = -20*n**2 - n - 22. Determine -5*i(p) + 6*v(p).\nAnswer: -2*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -10664, 0, 186 in decreasing order.\nAnswer: 186, 5, 1, 0, -10664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3458479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 459298030367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.5 (c) 4 (d) 454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55589 is divided by 1853?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2420795 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 9) to base 7\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65998223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 971655 and -87.069.\nAnswer: 971567.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/27*(-114)\/(-76) + (-320)\/36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25906498571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-210)*1\/((-21)\/5)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 48, 6, -2, -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**24\/(i**(-27)*i*i))**(-2\/35) assuming i is positive.\nAnswer: i**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(448) + 1)**2.\nAnswer: 48*sqrt(7) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, i: 1, j: 4, t: 2}. Give prob of sequence tri.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in -1\/3, 5, -4\/25?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3*i**2 + 2*i - 3. Let s be q(-4). Let y(k) = -k**3 + 4*k**2 + 6*k + 1. Let b be y(s). Solve t - 6 = -0*c - c, -4*c = -2*t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868459 is divided by 238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/1513 + -25182377\/7565. Let f = 23237\/7 + a. Let m = f + 34\/5. Find the common denominator of m and 57\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 15, m: 3}. What is prob of sequence mxmm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*176\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 12. Let q = 15 - 21. Let z = q + y. What is the second biggest value in z, -2\/13, 1\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/(-9)*24\/56?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60*(27\/(-12) + 3). Let k be o\/(-54)*2\/5. Which is the third biggest value? (a) -0.4 (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 139*d**6\/120 - 7*d**5\/60 - d**2 - 8*d. What is the third derivative of k(s) wrt s?\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69450 and 550?\nAnswer: 763950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 28 - (0 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 divided by 2?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-218)\/(-10) - 1\/5. Let u = -21 + m. Let v(o) = -o + 3. Let j be v(3). Is u bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/2 + 179*j**2\/2 - 140*j. What is the first derivative of g(c) wrt c?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*c + 7 = 0, 4*d + 5*c - 40 = -8. Solve 0 = -d*m + 3 - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 236.\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.26 - 54.26000015055. Round p to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95) + sqrt(95)*2 + sqrt(95))*-4)\/(sqrt(40)\/sqrt(32) - (sqrt(720) + sqrt(720)*-1))*-2.\nAnswer: -64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6116 divided by -11\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -738800625 rounded to the nearest ten thousand?\nAnswer: -738800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1233221?\nAnswer: -1233222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4 - (-6)\/(-12). Suppose 2*s - 6 = -2*t, -2*s - 6*t = -h*t. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6947\/2 + 3478. Let j(c) be the second derivative of u*c**2 + 0*c**4 + 0*c**3 + 2*c + 0 - 17\/20*c**5. Find the first derivative of j(t) wrt t.\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9046138, 9046139, 9046140, 9046141?\nAnswer: 9046142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*v = 25, -f - 3*f + 3*v = -15. Suppose t + 7*h - 12 = 2*h, 2*t - 24 = -3*h. Suppose -t*d = -8*d + 4. Is d not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:53 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2\/15, -5, 1, 0.11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = 134145 - 1105649. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1009 - -6260.5991. What is w rounded to the nearest 100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-18)\/(-4)*(28 - (2 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2758, -5506, -8254, -11002, -13750, -16498?\n\"Answer: -2748*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -66. Suppose 5*h = -0*h. Suppose -n*f + 64 + 16 = h. 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 0 = -8*k + 2*k - 264. Let f = k - -74. What is the remainder when 87 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 16, 2*w = 5*r - 106 - 6. Let m(b) = b**3 - 23*b**2 - 13*b + 57. Does 17 divide m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -60\/31 (b) -0.02 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21257 and 183983.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75 + 392*l**2 + 100*l**3 - 225 - 807*l**2 + 620*l - 5*l**4.\nAnswer: -5*(l - 15)*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000297924 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8662 is divided by 8656.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 3*v - 5*v + (-4 - 2 + 7)*(v - 2*v + 0*v) in the form t + m*v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/42*(19 - 22)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*a - 158*a - 78*a to the form u + t*a and give t.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z + 1. Let n be h(3). What is the remainder when 32 is divided by 49\/n*(-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 59*m - 16. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*q + 41*q**2 - 99*q + 24*q**2 + (-3 + 2*q + 3)*(2 - 2 - 1)*(q + 0*q + 0*q).\nAnswer: 63*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*d**3*o**2 + 324*d**3*o*s + d**3*o - 64*d*s + 1009*o**2*s wrt o?\nAnswer: 132*d**3 + 2018*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0882 - 36.9882. Let o = -322.9 - j. Let p = -285.9881 - o. What is p rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*p - 245*p = -54 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -77352710?\nAnswer: -7735271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.339 (b) -2\/11 (c) 0.2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 - 6*k - 19. Let q(d) be the first derivative of d**3\/3 + d**2\/2 - 16. Let b(h) = -6*q(h) - w(h). Find the first derivative of b(u) wrt u.\nAnswer: -32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b + 3. Let z be n(-2). Let d be -3 - 23\/z - 0. Factor 0 - 2\/7*c**5 + 2\/7*c**4 + 2\/7*c**3 - d*c**2 + 0*c.\nAnswer: -2*c**2*(c - 1)**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(-1 + sqrt(112) + sqrt(112) - sqrt(112)) + 5))**2.\nAnswer: 768*sqrt(7) + 16192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 742304 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Let o = -0.416 - 0.084. Sort o, 5, t in increasing order.\nAnswer: o, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -257? (a) 1\/3 (b) 4 (c) 3\/16 (d) -6.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 22*s - 146. Let p be ((0\/3)\/(-3))\/(-2). Solve p = -5*u - 15, -3*k + s*u = -3 - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(18))\/sqrt(9))**2 + (sqrt(2)*3)**2*1 - (-3 + (sqrt(2)*-4)**2*2 + 4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 3)*(2 - 2 + 2*z) + 3*z - z - 4*z - 3*z + 10 - 11 - z in the form v + y*z and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007019549 to seven dps.\nAnswer: 0.0000702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 11 + 19. Let a = 21 - o. Suppose -52 - 173 = -5*l. Calculate the highest common factor of a and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 94.877. Let t = -0.023 - o. Let z = -7 - -4. Which is the second smallest value? (a) z (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5945844494 to the power of 1\/2, to the nearest integer?\nAnswer: 77109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 48*q**2 - 312*q + 448 = 0.\nAnswer: 2, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 1, x: 6, b: 2}. What is prob of sequence xxb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -15*o**2 + o + o - 2*o**3 - o + 18*o**2. Let t(d) = 3*d**3 - 4*d**2 - d. Give 4*j(c) + 3*t(c).\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2472127 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 0.43, 10, -1, 4\/3, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.57136 kilograms in grams?\nAnswer: 38571.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*m**2 - 42 - 7*m - 33 - m + 8*m**3 + 9*m**3 wrt m?\nAnswer: 102*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = s. Suppose 4*a - 1 - 3 = 0. Suppose 3*n = -4*i + 11 + a, 3*i + 5*n - 9 = 0. Solve s = -i*t + 5*v - 30, 5*t - 3*v + 29 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409486?\nAnswer: 2, 7, 11, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 - 1. Let v(l) = -5*l + 4. Let r(h) be the second derivative of h**3 - 5*h**2\/2 - 7*h. Let f(s) = 2*r(s) + 3*v(s). What is f(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219609409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 526, 2095, 4710, 8371?\nAnswer: 13078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -177846475, -355692944, -533539413, -711385882, -889232351, -1067078820?\n\"Answer: -177846469*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 0.0323?\nAnswer: -0.005814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 33820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 6*b**2 + b + 8. Let r be m(-6). Let c = r + 0. Let o(w) = w - 1. Let t(k) = -4*k + 0*k + 0 + 3. Give c*t(i) + 7*o(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urc when three letters picked without replacement from {n: 1, c: 1, t: 2, u: 1, i: 1, r: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -473 + 473. Suppose 0 = -3*z + 2*k + 976, n = -k + 1. Calculate the remainder when z is divided by 107.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-4) - (-2)\/(-8). Let r = 2.2 + -1.1. Let g = 1 - r. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/3))\/(m*m*m**(-2\/9)))**(-5\/8))**(2\/91) assuming m is positive.\nAnswer: m**(25\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*i - 18 = -348*i - 2. Let c(y) = 5*y**3 - 9*y**2 + 4*y - 1. Let o(q) = q**3 - q**2 - 1. Let t(l) = -c(l) + 6*o(l). Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 23291472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 9*r**2 + 8*r - 2. Let c be (4\/10)\/(1\/75). Suppose c = -9*n + 4*n. Let m be h(n). Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z + 6*z + 35*z + 59569 = 0. Which is greater: -841 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 1988*n**2 + 3702816*n + 908398800 = 0. What is n?\nAnswer: -414, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 3*g - 9. What is the tens digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 11*r + 11. Suppose -22 + 54 = 2*a + 3*h, 4*a - 44 = -h. Let n be p(a). What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + z**4 - 6*z)*(14 - 12 - 11)*(0 - 1 + 2).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11)\/w*w**(-3\/8))\/(w\/(w**(2\/5)\/w))**(-21\/4))\/(((w*w*w\/(w*w**(-3)))\/w**0)\/((w*w\/w**(1\/2))\/w**(-6))) assuming w is positive.\nAnswer: w**(4271\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 36 = -3*j + 9, -z = -j - 7. Let l(a) = -2 - z*a - 3 + a**2 + 2*a. What is the units digit of l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + c + 2161*c**2 - 1342*c**2.\nAnswer: 819*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 2*v + 32 = 0. What is the closest to 2\/5 in 0.5, 0, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -47166.\nAnswer: 1\/23583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (0 + -1 - 2). Suppose -3*i - i + 4 = 4*r, 4*i - k*r - 4 = 0. Let h = i - 1. Is -1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10483313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 7*n - 6. Calculate b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-5) + 3 - 114. What is the common denominator of 27 and 135\/r + (-2 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 11. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*b + 40, -p + b = 4*b - 20. Solve 3*v + 3 = p*n, 0*n + n = -2*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.09737 to 2 decimal places.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 - 5*b**2 - 5*b - 5. Let d be (-4)\/18 - (-87)\/27. Let y(s) = s - 5*s**2 - 19 - 4*s + 2*s**2 + 16 + 2*s**3. What is d*n(v) - 5*y(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 206086457121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 12*l + 3*n + 10 = 0, -2*n + 4 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -4*i**3\/3 - i**2 + 2*i + 2. Let k be n(-3). Let x be 2\/(-3) - k\/6. Solve -d = -8 + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 79042. Let j(y) = 3*y**2 + 49. Determine s(j(u)).\nAnswer: -18*u**2 + 78748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 35*k - 38. Let l be j(30). Let n = l + 810. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.9 and 606360.\nAnswer: 606351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.48 - -46.48. Let c = -106.904 + 152.9038. Let d = r - c. What is d rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**5 + 6*h**4 + 15*h**3 + 7*h**2 - 3*h + 3. Let s(k) = -3*k**5 + 13*k**4 + 30*k**3 + 14*k**2 - 5*k + 5. Let y(w) = 5*p(w) - 3*s(w). Factor y(q).\nAnswer: -q**2*(q + 1)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = w + 3*x, -2*x = -2*w - 1 - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -948514, 14, -4\/3 in decreasing order.\nAnswer: 14, -4\/3, -948514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 1\/4 (c) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 21 = -3*o, t - 23 = 2*o - 37 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(17) + 1)*2 + 2*sqrt(1088) + sqrt(1088) + (sqrt(17) - (sqrt(17) + (sqrt(17) - (sqrt(17) - sqrt(68) - sqrt(17))*5))))**2.\nAnswer: 1680*sqrt(17) + 37805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53226556608 and -3?\nAnswer: 53226556611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1294 - q**3 - q**3 - 1294.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394739?\nAnswer: 394739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*c + 10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -16*c + 105. Let t(w) = w + 2. Let s(z) = i(z) - t(z). Let o be s(6). Solve 4 + o = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1292 and 170?\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -60, 5, 1\/3 in descending order.\nAnswer: 5, 0.5, 1\/3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -14, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*w = 6, 4*w + 9 = b - 0*b. Let t be -2 + 10 - 1\/b. Let g = -3 + t. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + g**2 - g**2 + (-1 + 1 - 2*g)*(-3*g**2 + 3*g - 3*g) + 2*g**3 - 2*g**3 + 2*g**3 + (4*g - g**2 - 4*g)*(-g + 2 - 2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 + 484*x\/7 - 486\/7 = 0. Calculate x.\nAnswer: -243, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*u**2*v**3*x + u**2*v*x**2 - 4*u**2 - 13*u*v**3*x - 291*v**3*x**2 wrt x?\nAnswer: 2*u**2*v - 582*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.48 - 2.48. Which is the nearest to t? (a) 0.5 (b) -2\/15 (c) 1\/7 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/7 and -7\/2732.\nAnswer: 19124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*c*q**3 - 1025*c*q + 10047*c wrt q?\nAnswer: 33*c*q**2 - 1025*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248529, 497072, 745615?\nAnswer: 994158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = -9. List the prime factors of 7 - (-4 - (m - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053216 to 3 dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 13. Let x(d) = -d**2 + 9*d - 2. Let w be x(10). Let u be c(w). Calculate the highest common factor of u and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5180683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -8*y + 3*y - 5, -3*y = 2*z - 1. What is the biggest value in z, -1\/3, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -806320 to the nearest 1000.\nAnswer: -806000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*d**4\/5 - 10*d**3 - 78*d**2\/5 + 18*d\/5 + 54\/5 = 0. What is d?\nAnswer: -3, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-40)*4)\/(-1*135\/72). Which is the closest to -0.1? (a) 4 (b) 1 (c) 1\/17 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvoeovuvgov. What is prob of sequence gu?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let w(a) = 6*a**2 + 6*a**2 - 6*a**2 + 2*a**2. Give w(i(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 997556.9 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-6)\/((-6)\/1031). Suppose 200 = 22*l - p. Calculate the remainder when l is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*q - q - 6 = 0, 2*r = q + 2. Suppose 4*f + f - 5 = r. Are -1\/7 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -65, -109, -171, -257, -373?\n\"Answer: -i**3 - 25*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6719882 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*(1 - 5). Let i(z) = 2*z - 6. Let o be i(v). Suppose -3*h + 6 = 3*q - 6, o*q = -3*h + 11. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(171)\/(sqrt(1296)*-2 + sqrt(1296) - sqrt(9)).\nAnswer: 6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (710 + 637 - 1567)*(-2 + 1 + 3)*(2*p - p + p) to the form b + s*p and give s.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2 - 20. Let y(a) be the second derivative of 0*a**2 - 1\/15*a**p + 0 + 1\/10*a**5 - 1\/21*a**7 + 1\/6*a**4 - 2*a + 0*a**3. Factor y(r).\nAnswer: -2*r**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.69 - 0.31. Let t = -21 - f. Let r = 16.8 - t. Sort -2\/3, r, 1\/8 in decreasing order.\nAnswer: 1\/8, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or 75?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 403657185 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.62 and 48594.978094.\nAnswer: 48591.358094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/4 + 3*v**3 - 36*v**2 - 48*v + 384.\nAnswer: 3*(v - 4)**2*(v + 4)*(v + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**5\/120 + n**3\/6 - 3*n**2. Let b(c) be the first derivative of d(c). Let u(k) = 3*k. Calculate b(u(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77660, -77702, -77746, -77792, -77840, -77890?\n\"Answer: -y**2 - 39*y - 77620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9*v**3 - 4*v**3 + 8*v**2 + 12*v**2.\nAnswer: 5*v**3 + 20*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/285794 and -47\/285794.\nAnswer: 285794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*a + f, 3*a + 12 = -7*f + 3*f. Let h be (1551\/(-188))\/(3\/a). Calculate the highest common divisor of 781 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -5*z - 18*l - 22, -3*l - 19 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 times -108?\nAnswer: 5724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1393, 7, -30.\nAnswer: -30, 7, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxqqxxxxqpxqwqxwq. Give prob of sequence xx.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-12 - -16) + 10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 12 + -3 + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 121107?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/59 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 9*d + 17. Let z be b(-5). Let r(c) = c**3 + 5*c**2 + 5*c + 3. Determine r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1000)\/6*(-9)\/(4 + -7). Let r = 521 + s. Suppose 0*o + 2*o = 102. What is the remainder when o is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 1625*h**2 - 657207*h + 29423583.\nAnswer: -(h - 993)*(h - 581)*(h - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. List the prime factors of (-1 - -1) + 3 + p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - 2) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 less than 562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.2, -618, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15568483855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/5, -0.1, 4, 0.33, 1\/2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4308348\nAnswer: -430834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28.186? (a) -0.3 (b) -2 (c) -3\/8 (d) -14 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649*x**3 - 468*x**3 - 413*x**3.\nAnswer: -1530*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 15 = 31. Suppose v = -5*i + 936, 4*i = c - 28. Let p = v + -588. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 262*x - 89. Let b(u) = -53*u + 18. Let j(t) = -11*b(t) - 2*p(t). Differentiate j(l) with respect to l.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12\/877 - 46301\/13155. Calculate the common denominator of n and -41\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxdx when four letters picked without replacement from {x: 5, d: 4, h: 1, j: 1, u: 9}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2388*d + 2390. Let k be p(-1). Let o(h) = -h + 9. Let w be o(6). Solve -k*t = 2*t + w*c - 18, t - 13 = -5*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185751249?\nAnswer: 3, 61917083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 6}. Give prob of picking 2 v.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tztqtqtaztqqt. Give prob of sequence aqqz.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-1 + (-3)\/(-12)). List the prime factors of (-10)\/(-3)*m\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -2265921.2853.\nAnswer: 2265916.2853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -52064?\nAnswer: 52056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 70748*q + 1251319876.\nAnswer: (q + 35374)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 - 4*s**2 + 6*s**2 + (-10*s**2 - s + 6 + s**2 - 4)*(6 - 2 - 2 + (-2 - 1 - 2)*(-5 + 6 - 4)) as i*s + f + g*s**2 and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-266))\/(-40 - (-16124)\/406)?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 137. Calculate k(-59).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r + 11. Suppose 10*q + 21195 = 15*q. Is q\/18*r\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - m - 37 + 15 = 0, 4*h + 5*m + 14 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 388919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h**(-7)*h))*h**(-1\/10)\/h)\/(h**(-2\/9)\/((h**(-1\/5)*h)\/h)) assuming h is positive.\nAnswer: h**(-547\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {c: 3, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 22*u**3\/5 - 1780*u**2 - 4459842*u\/5 - 405072 = 0.\nAnswer: -291, -5\/11, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 3*r)*(-r - 1 + 1) + (17 + 26 + 26)*(-2*r**2 - r**2 + 5*r**2) + (-r + r - 2*r)*(0*r - r - r).\nAnswer: 140*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 - 6*o**3 - 11*o**2 - 6*o - 24 wrt o.\nAnswer: -24*o**2 - 36*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1928 divide 29669992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1958*x + 1962*x - 150536. What are the prime factors of x?\nAnswer: 2, 31, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76278.4 rounded to the nearest one hundred?\nAnswer: -76300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1603, -2262, -4035, -7474, -13131?\nAnswer: -21558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15377 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*s - 76 = -2*s, -38 = -m + 5*s. Let g = 30 - m. What is the least common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4386912 by 32.\nAnswer: 137091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 5, 23 - 28 = -4*s - 5*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*j**2 - 2*j - 60 wrt j?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4828?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2 + 2. Let i be 91\/26 + 3\/(-6). Let n(f) = i + 4 + 5*f - 6*f + 6*f. Let y(t) = 2*t + 3. Give w*n(j) + 9*y(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 230\/3 - (-8)\/24 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + (0 - (6 - 3)) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/45 - (-492)\/(-27). What is the units digit of 2 - ((-9)\/m)\/((-2)\/668)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 3. Let x be a(0). Let m(v) = -2*v + 1. Let o(p) = p - 1. Give x*o(f) + 3*m(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -583*r + 138060. Calculate k(239).\nAnswer: -1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/751705 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 + ((-3)\/(-3))\/(-1). Let m(g) = 3*g**2 - g - 2. Let b be m(4). Let k = l + b. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -28. Let v = -19 - z. Which is the closest to 0.1? (a) v (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 + r**2 - 2*r + 1. Suppose 2 = 2*t - 0*t. Let w be y(t). Suppose -w*v - 7 = -19. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 13*v**2 - 3*v + 4. Suppose 3*n = 9, k - 4*n + 9 = -0*k. Suppose -3*t + 4*b - 23 = 0, -t = k*t + 2*b + 60. Does 15 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 447650 - -5?\nAnswer: 447655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748150562?\nAnswer: 2, 59, 613, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -880, 0.4, -7.3, -0.1 in decreasing order.\nAnswer: 0.4, -0.1, -7.3, -880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/490 and 53\/90.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - p**5\/4 + p**4\/4 + 2*p**3 - 16*p**2. Let f be j(9). What is f rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1\/(4\/8). Let g be (k*342\/3)\/2. Suppose -5*v - 2*n = -g, v + 25 = 2*v - 3*n. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:25 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1396\nAnswer: 5\/1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, -336, -1366, -2972?\n\"Answer: -288*p**2 + 410*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 1. Let y be f(7). Let p be y\/(-15) + (2 - 2). Which is the third smallest value? (a) 2\/15 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 16520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/22 or -3750?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*i - 304 + 287 = 0, 3*i = 2*v + 30. Let y = -1 + -5. Let o(h) = 5*h. Let q(l) = -6*l. Determine v*o(j) + y*q(j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 62821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 17*f + 18*f.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -23c62c?\nAnswer: 23c637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18948000 rounded to the nearest 100000?\nAnswer: 18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -168*1*6\/(-8). Suppose -2*l = l + u. Calculate the lowest common multiple of (-123)\/(-21) + (-6)\/l and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -79?\nAnswer: -37\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*z + 5992 + 5979 - 10480 for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 times 2796.7\nAnswer: -64.3241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13331\/168 or -79?\nAnswer: -13331\/168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(((-36)\/27)\/(4\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8689, -17376, -26057, -34720, -43353, -51944?\nAnswer: -60481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-3)\/(-8) - (-329)\/(-1176))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -439 - -445. Solve o = -o - n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*l + i - 1 = -896*l, -3*l - 182 = -10*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15912 divided by -4?\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.5 (c) 2\/5 (d) -15 (e) -5 (f) -10 (g) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7862 - -235?\nAnswer: 8097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g + 16*g - g**2. Let n(b) = -4*b**2 + 6*b**2 - b**2. Give n(l(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 223337854, 446675704, 670013552, 893351398, 1116689242, 1340027084, 1563364924?\n\"Answer: -d**2 + 223337853*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -248 + 250. Let b(c) be the first derivative of -7 + 2\/45*c**3 + 4\/15*c**x + 2\/5*c. Suppose b(r) = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*f + 0*f = -7, -p + 3 = f. Let k be ((3 - 0) + 3)\/p. Suppose -4*d = t - 401, d + 2*d = -k*t + 1230. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*12\/540*15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -709396346 divided by -127?\nAnswer: 5585798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3527 and 957?\nAnswer: 337.5339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 2, i: 7}. What is prob of sequence iixi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 399*a**4\/2 - 550*a + 897. Differentiate p(b) wrt b.\nAnswer: 2394*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(0 + -6). What are the prime factors of 42\/x*(-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*y - 19 - 97*y - 29 + y**2 - 98*y as n*y**2 + a*y + j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 47 = -19. Let k(m) be the first derivative of 0*m**2 - 3\/5*m**5 + 0*m + 1 + 0*m**o - 4\/3*m**3. What is the third derivative of k(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13883297.\nAnswer: 41, 53, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1921 by 17.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-1\/34) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 20 - 2. Let k = -12\/65 - -2\/715. Which is the second smallest value? (a) k (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*l - 14 - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*q**3 + 90*q - 1 + 96*q - 189*q to r + x*q**2 + w*q**3 + o*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30773521*s**3 - 849*s + 7263 wrt s?\nAnswer: -184641126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + -1)*(9 - (-27 - 213)) is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -7\/2*p**2 + 1\/12*p**4 - 13\/6*p**3 + 181*p + 0. Give j(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-0.04.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6492406, -12984804, -19477202, -25969600?\nAnswer: -32461998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -75. Let c = -5734 - -5674. Let s = c - a. Which is smaller: s or 0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18699674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55207.81225666 plus 0.4?\nAnswer: 55208.21225666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n + 32. Let c be g(-2). What is the greatest common divisor of c and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 2*d - 2*d. Let z(m) = -3*m**2 - 4. Let u(f) = -1. Let p(a) = -1. Let y(c) = 5*p(c) - 6*u(c). Let x(n) = 4*y(n) + z(n). Calculate x(o(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 173210\/21517?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*b = 48. Suppose -17*i + b*i = -10. Which is smaller: i or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*l + 2, -5*b - 10 + 11 = -l. Let r(q) = 44*q + 489. List the prime factors of r(b).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8134 + -8328. Which is smaller: y or -15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19003 - 389 = 1645*d + 21733 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*l - 5*z + 19, 5*l - 5*z = -35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**6 + 11201*a**4 - 208*a**3 + 90*a**2 + 2*a + 943424 wrt a.\nAnswer: -840*a**3 + 268824*a - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.00995 + 0.01045. Let t = 2 + n. What is t rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 44. Let p = o + 50. What are the prime factors of p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w - 5*w. Suppose -3*u + 2*d + 2 = 0, -3*u + 3*d = -0*d. Which is the smallest value? (a) w (b) u (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 2. Let g(i) = -73. Let x(o) = -18. Let c(q) = -g(q) + 4*x(q). Give -2*c(u) - 2*h(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 13*y + 23. Let s(c) = -3*c**2 + 7*c - 22. Determine -2*n(j) - 3*s(j).\nAnswer: j**2 + 5*j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3, -6, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -3\/1486?\nAnswer: -3\/1486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/934765811 or 1?\nAnswer: -1\/934765811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 411466, 822932, 1234398, 1645864?\n\"Answer: 411466*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -62.\nAnswer: -13\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - l**3)*(-158 + 158 + 75*l).\nAnswer: -75*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33802*f - 33789*f = 338 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2294 divided by -37?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2.56 (c) -288 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from ppppppppppoppppppppp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(20\/7)*b\/b**(-3\/7) assuming b is positive.\nAnswer: b**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -56*y + 7388. Give r(132).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6024944 is divided by 943?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o + 7 - 4 - 21*o. Let d(n) = -n + 1. Calculate 3*d(s) - x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 83*h**2 - h**4 + 6*h**4 + 94*h**2 + 4 to the form m*h**2 + f*h**4 + z*h + i*h**3 + u and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 327424 - 2283039\/7. Let s = 1279 - w. Solve -69\/7*c**3 + 48\/7*c**5 + 3*c - 3\/7 + s*c**4 - 3*c**2 = 0 for c.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-166)\/(6308\/570)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3109 is divided by 717?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i + 2. Let s be u(2). Suppose 3 = -z - 2*q + s*q, 3*z = 3*q - 9. Let m(g) = -2*g - 1. List the prime factors of m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -80. Let n(r) = 63*r**3 - r. What is the tens digit of n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let h be m(1). Find the first derivative of 3*l**2 + h + 0 + l**3 - 3*l**2 wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -6. Let h be o + (-21)\/(-1) - (1 - 3). Let f = 24 - h. Solve f = -n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 125?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (37 - (19 - 27)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q - 16*q + 6440000. What is q rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -1. Let q(o) = -4*o**2 + o. Let s be q(1). Let a be s + -4*k\/(-16). Is a equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/264 and 67\/12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 20 + 13 - 27 + 2*k**2 + k to the form f*k + y + l*k**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.876 and 0.4.\nAnswer: -0.3504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1056 and 8.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from oogihigiioli.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*(u*u\/(u*u**27\/u*u))\/u))\/u)**(-4))**(-2\/25))**33 assuming u is positive.\nAnswer: u**(6864\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 4*d**2 + 2*d - 4. Let j be b(2). Suppose -4*c - 4*r + 164 = j, 0 = 4*c - 4*r + r - 192. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 55.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 1 = 4*g - 2*u, 4*u + 1 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -262*y + 261*y + 44429, 4*d + 3*y - 44431 = 0. Is d 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 5:18 PM and 4:22 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*g**2 - 381*g**2 + 7831*g**3 - 382*g**2.\nAnswer: 7831*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21233261108 - -66979\nAnswer: -21233194129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 13*t - 38. Let h be 125\/(-15) + 8\/(-12). Let j be l(h). Let g = -144 + j. What is the remainder when 29 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722752364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156106238?\nAnswer: 2, 4673, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/(-30)*-72 + (-6)\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0569 take away -0.5671577777?\nAnswer: 0.6240577777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -24. What is the third smallest value in 11, -0.1, o?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1020 and 82620?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5748 + e?\nAnswer: 5757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, 121, 188, 271, 376?\n\"Answer: z**3 - z**2 + 53*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0*m**3 + 26*m - 1\/42*m**6 - 1\/42*m**4 + 0*m**2 - 1\/20*m**5 + 0. Suppose y(i) = 0. What is i?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/(-495) - 28\/154 - (-6)\/(-27).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5761 + -103697\/18. Let g(c) be the third derivative of 1\/180*c**5 - 16*c**2 - 1\/144*c**4 + 0*c + 1\/720*c**6 - x*c**3 + 0. Suppose g(h) = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 264244215?\nAnswer: -264244245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-14))\/((-2)\/(-8)). Let u(j) = j**2 - 3*j - 4*j**d + 3*j. Let v(k) = -3*k. Determine v(u(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 19\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -680283680 divided by 4?\nAnswer: -170070920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 15*o**2 - 14*o**2 + 18*o**2 in the form p + k*o**2 + z*o and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 29*w - 474. Suppose -w*q + 50*q - 288 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 204 + -93?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**4 - 19*t**3 + 4856*t**2. Let b(w) = -19*w**4 + 37*w**3 - 9719*w**2. Let i(x) = 3*b(x) + 7*r(x). Find the third derivative of i(z) wrt z.\nAnswer: 312*z - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2067623556 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1846979 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/5 + 16508508*c\/5 + 22710903032172\/5 = 0 for c.\nAnswer: -2751418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36501293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 8*a**2 + a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*p - 43, 6 = h - 2*p - 2. Let z be 550*((-2)\/h)\/(10\/(-25)). Let y = -158 + z. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**3 - 9*a - a**4 + 10*a + 13*a**3 + 2*a**2 + 2*a**4 as m + w*a**4 + g*a**3 + j*a**2 + u*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(208)*2)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19 - 9 + 0 + 26*n**3 + 0 wrt n.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 607, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 1, p: 1, f: 2, g: 1, c: 1}. What is prob of sequence gfrf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2*sqrt(14))\/sqrt(7))**2 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 126, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -558 - -377. Let c = w - -489. Does 44 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-70)\/12)\/(-7))\/((-25)\/(-5))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rumrrrrlmruyryryrrr. Give prob of sequence lm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341658 divided by 3.\nAnswer: 113886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 429*i - 11833. Calculate h(-30).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + z = 153848965 - 471046662, -5*i + 3*z = -396497116. Let b = -19999425 + i. What is b rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(10*(-18)\/810).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3236133*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 26. Suppose i + 4*i - a = 0. Calculate the smallest common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 7\/30*t**6 + 0 + 6*t - 2*t**3 + 0*t**2 + 0*t**4 + 0*t**5. What is the second derivative of a(b) wrt b?\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103, 102, 101?\n\"Answer: -k + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 11*c**6\/5 - 65*c**4\/12 + 17*c. Find the third derivative of r(l) wrt l.\nAnswer: 1584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 131 = 397. Let j = 0.1 + -5.1. Sort j, 0, c.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 12 = 0. Let p(c) = -c**3 + 4*c**2 + 2*c - 4. Let w be p(y). Suppose 0 = 3*x - 0*l - 2*l - 43, w*l = 2*x - 42. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 4. Suppose 8*v - 6*v = 8. Let w(j) = -j**3 + 2*j**2 - 5. What is v*w(t) + 5*x(t)?\nAnswer: -4*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2951.\nAnswer: -2\/2951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*c + c - 19, 0 = c - 3. Suppose 0 = d - 2*t - 2340, 3*d - t - 7029 = -a*t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*i - 433*i - 1016*i + 5823 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 + 16. Let a = 1210 + -1166. Calculate the remainder when a is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*q + 410 = -1690, -q - 3 = 0. Let h = 759 + t. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t = -16. Suppose -2*i - 25 = -5*p, -3*p - 4*i + 18 - 3 = 0. Solve -5*w + 2*r = 1 + p, -12 = -3*w - t*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/24 - (-1650)\/9. Suppose -21*i = -297 + 3. Calculate the greatest common divisor of i and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25952 - 4564. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:00 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 6*h + 6. Determine n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 6*x**2 + 22*x - 27. Determine m(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 4*l**2 + l - 5. Let t be u(-5). Suppose 3*k = -0 + t. Let b = 11 - 11. Solve b = -4*s + k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let a(t) = -469*t**2 - 928*t. What is a(m(o))?\nAnswer: -469*o**4 - 928*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 1 + sqrt(45) + sqrt(45)*1 + 2.\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b - 2*h + 11190, -4*h = -2*b + 5570. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -81373*p. Let l(z) = 3*z**2 + 275*z. Give l(u(s)).\nAnswer: 19864695387*s**2 - 22377575*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182369 - 106652. Let k be b\/81 - 2\/(-9). Suppose -9*m + k = 2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 g when three letters picked without replacement from {m: 5, u: 4, g: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 449530 to the power of 1\/2, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5544230 - -0.2?\nAnswer: -5544229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 4, 7, 12, 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72049 or -71944?\nAnswer: -72049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/450 and -145\/76866?\nAnswer: 5764950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/5, 44 in ascending order.\nAnswer: 2\/5, 1\/2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2. Let j(b) = 9*b - 6*b - 6*b**2 - 3*b. Determine j(t(g)).\nAnswer: -96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -6*t + 0*t**2 + 0 + 0*t**3 + 7\/6*t**4. Let f(j) = -13*j**2. Calculate x(f(v)).\nAnswer: 2366*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -3, -5, 1.3, 0.01, 0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447563.6ns in milliseconds?\nAnswer: 0.4475636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a factor of 136851702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-12) + 76\/12. Let p(f) = -c*f + f - 3*f. Let d(v) = 0*v - 2*v + 0*v. Calculate d(p(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6268*s + 11406*s + 127661 = -6821*s - 1709464 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-13)\/q**(3\/17) assuming q is positive.\nAnswer: q**(-224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-6)\/4)*(20 - 18). Is 11 a factor of -3 - (-241 + -5 + m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28417, -29922, -31427, -32932?\n\"Answer: -1505*n - 26912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -981, -1755, -2503, -3219, -3897, -4531, -5115?\n\"Answer: z**3 + 7*z**2 - 802*z - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 3*f = 1, 0 = 4*d + 4*f - 20. Suppose -d*a - 9 = a. Let k be ((-40)\/(-6))\/((-1)\/a). Solve -c - k = -4*u - 5, -2*u + 35 = 5*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, l: 1, h: 8, i: 2, b: 1}. Give prob of sequence ia.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7026529?\nAnswer: 61, 127, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -277. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437344429089915 - -0.4.\nAnswer: 437344429089915.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 20*z + 1029. What is u(-43)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wewe when four letters picked without replacement from {e: 8, w: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 57995?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062846411 rounded to 7 decimal places?\nAnswer: -0.0006285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0069 - -0.4931. Sort -4, 0.3, z, -0.1 in descending order.\nAnswer: z, 0.3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**3\/3 + 2*m**2 - 4*m. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-63) - 10\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3\/6 - 31*s**2\/2 + 4*s + 4. What is the least common multiple of a(33) and 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358294883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 155, 174, 193?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1191 + -1189. Factor 4\/7*o**u + 2\/7 + 1\/7*o**3 + 5\/7*o.\nAnswer: (o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 10) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = l. Suppose l = 7*t - 11*t + 156. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v + 12*v - 26*v + 5 - 5.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3748*n - 3743*n + 598 = -7517*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*s = -422*s + 66. Sort s, -2, -10, 1 in descending order.\nAnswer: 1, -2, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9955722 and 420?\nAnswer: 99557220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1900) + -1 + sqrt(1900))**2 - (sqrt(76)\/sqrt(4) + -2)).\nAnswer: -30412 + 164*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 4, u: 8, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:56 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 5, i: 2, w: 8}. Give prob of sequence xiei.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25007 is divided by 443.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Let f = 58 + -53. What is the closest to v in -0.4, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -20*c - c**2 + 12*c + 8*c. Let f(z) = -20*z**2. What is r(f(t))?\nAnswer: -400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxc when three letters picked without replacement from xcccccccccccccc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5, 3\/2, -3, -59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 11*o + 0*o + 0*o + o - 5*o + 3*o + 0*o - 4*o + 2 + 2*o - 2 + (-1 + 1 - 2*o)*(2 + 2 - 5) + (o + o + 0*o)*(1 - 2 + 2) + 4*o - o - o + 4*o + o - 4*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 281543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2879, 2886, 2907, 2948, 3015, 3114, 3251, 3432?\n\"Answer: q**3 + q**2 - 3*q + 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4 + a?\nAnswer: be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**2 - 4480*w + 2992.\nAnswer: -4*(w + 374)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1129756, 1129751, 1129748, 1129747, 1129748, 1129751?\nAnswer: 1129756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 229\/92177400 and 191\/2550.\nAnswer: 92177400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let c be 12\/(-3) - (-10 - (-72)\/12 - 2). Let t(l) be the second derivative of -34*l + 0*l**c + 0 - 1\/6*l**3. Determine f(t(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1960\/37 smaller than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16\/17*y**5 + 0*y + 2\/17*y**3 + 0*y**2 - 14\/17*y**4 = 0. What is y?\nAnswer: -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:46 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/68 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*g + 23, 0*c + 3*c + 7 = -5*g. Let a be (-1)\/c - 42\/24. Put -1\/2, 2\/3, a in descending order.\nAnswer: 2\/3, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from hnnunnnnnhsnusunh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 2. What are the prime factors of q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0258 - -0.0742. Which is the nearest to 0.1? (a) -0.26 (b) 6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose -5*h - 3*f + 1 = -r*h, -h + 3*f = -7. Suppose -4*c + 2*y + 24806 = 0, 0 = h*y + 8 + 4. What is c rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from wfrwfqzrzrtwwrwqw?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 667*b + 11 + 8 + 8 - 35.\nAnswer: -667*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:51 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2884)\/(-309))\/((20\/(-4))\/(-5)*(-10)\/(-6)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 122965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 24902*f - 224120. What is n(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8884905.\nAnswer: 3, 5, 41, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*2*-5 + sqrt(140) + -1*-2*sqrt(140))\/((sqrt(140)\/(sqrt(7) + sqrt(7)*1) + sqrt(20) + sqrt(20))\/(sqrt(576)\/sqrt(9) - sqrt(4))).\nAnswer: -84*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 35 = -4*j, -j + 25 = 4*z. Suppose 2*n + 150 + 273 = j*s, 2*s - 186 = 5*n. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -16. Let l(k) = -3*k - 4. Let v be l(d). Let q = -6 + v. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let j(a) = -738*a - 97. Calculate j(u(y)).\nAnswer: -1476*y**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 45 = -5*w, 0 = 5*w - 3*v - 15 - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 162*g - 161. Determine c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24440 and 20.\nAnswer: 24440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5815775 (base 9) to base 10.\nAnswer: 3140438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -100. Calculate the highest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + -1) - (55 - 59).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, -13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 20. Let f be (-6)\/(-24)*x\/3. Which is the third biggest value? (a) 0 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21713*h**3 + 0 - 4 - 21734*h**3 - 2*h**2 as u*h + p*h**3 + l + j*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 2. Let u be 0 + -2 - (-1 - 3). Let v be a(u). What are the prime factors of v\/6*66\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 6*c - 19. Let l(u) = u**2 + 5*u + 22. What is -5*l(f) - 4*w(f)?\nAnswer: 3*f**2 - f - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y - 4*y. Suppose -n + 6*n - 10 = 0. Calculate the highest common factor of y and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 1\/2 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14387 and 33?\nAnswer: -474771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1202433 + 3?\nAnswer: -1202430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 44?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000210630428 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/((-4)\/16). Suppose -w + 3 = 4*j, -w + j + z*j = -10. Suppose 0*s + w = s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d + 3*d**2)*(-3*d**2 - 6*d + 6*d) + 35563*d**2 - 157*d**4 - 35563*d**2.\nAnswer: -166*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s + 1. Let n(q) = -7*q + 48. Let l(u) = -u + 1. Let w(y) = -5*l(y) + n(y). What is the remainder when h(-1) is divided by w(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(4\/6). Let y = 344 + -228. Let d = -116.08 + y. Which is the second smallest value? (a) d (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 + -0.2644. What is r rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 889978320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -44, -50, -58, -68, -80?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-21 - -13) + 0 + (5 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -7*q**2 + 17. Let o(y) = -y + 3. Let f(v) = v - 5. Let s(n) = -3*f(n) - 5*o(n). Calculate c(s(g)).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1.1682.\nAnswer: -5.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -0.1909.\nAnswer: 0.5091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*h = h + 33, 2*h + 12 = -n. Let z(q) = -3*q - 1. Is 11 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10*1\/(-20))\/(-1))\/(6\/(-44))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - (10 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 22*q = 24*c + 3, 4*c - 9 = 3*c - 34*c + 4*q - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-26)\/o**(1\/18))\/(((o**(10\/7)\/o)\/o)\/o*o\/((o*o**(1\/2))\/o)) assuming o is positive.\nAnswer: o**(-1574\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 p when three letters picked without replacement from beggbgnbbmbgbmembnbp.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128, -129, -130?\n\"Answer: -h - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let x = 8 - 0.5. Let k = x - 7. What is the closest to l in k, -4, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/4 + 13*j**3\/3 - 15*j**2\/2 - 12*j - 29. Let t be w(11). Is 65 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(187) + 3*sqrt(187))*-2)\/(5*sqrt(121)\/(sqrt(22)\/(2*sqrt(2)))).\nAnswer: 48*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021996505 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -616) + -11 + 16. Suppose -2*i - 4*b + 132 = -166, 4*i + 2*b = d. List the prime factors of i.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -567750 (base 9) to base 16.\nAnswer: -53166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 7*f - 5. Let p be q(0). Let a(h) = 139*h**2 - 33*h - 1. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(105\/(-125))*3. Let q(s) = s**2 + 20*s + 62. Does 17 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75288 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: 11000111111 (base 2) to base 3\nAnswer: 2012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330*0.3.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3822457*k**3 - 4707254 wrt k.\nAnswer: 11467371*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30684906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2122210*g**2*r**2 - 6*g + 83800*r**2 wrt g.\nAnswer: 4244420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(60)\/(sqrt(20)\/sqrt(4))) - (-4 + -3 + sqrt(3) + -2*sqrt(3))**2) + 4.\nAnswer: -48 - 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -716, -801, -920?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(405) - (sqrt(405) - sqrt(405)*1)) - sqrt(405)) + (1 + sqrt(405))*-6)**2 + -3 + (2 + (1 + (2*sqrt(405) - sqrt(405)))**2 + sqrt(405))*-3.\nAnswer: 1215*sqrt(5) + 57129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from xmmiihmgmhmhimhhxmx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 51 = 5*u - 3, 3*u - 30 = 3*w. Suppose 2*r + 3*l = 19, 3*r - 2*r - u = l. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:17 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -345151 (base 10) to base 14\nAnswer: -8dad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 - 17*p**3 - 11*p**3 + 39*p**3 wrt p?\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040 (base 6) to base 12.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94244, -379346, -854514, -1519748?\n\"Answer: -95033*n**2 - 3*n + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4425*o + 759 - 1352*o - 762.\nAnswer: -5777*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/386 and 75\/16.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 2451454.\nAnswer: 9805816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.1. Let w = -454.8 + 454.6. Sort w, j, -4 in ascending order.\nAnswer: -4, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) 0 (c) 1\/8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 496538803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/84)\/(12\/(-378)*-9)*-2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 532, 522, 506, 484, 456?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -155130 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3544?\nAnswer: 3\/1772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/(-3)*3\/(-30)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16114270 and 35\/380296772.\nAnswer: 1901483860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 10*l**2 - 15*l.\nAnswer: 5*l*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/(g*g**(-2\/11)))**32\/((g**(1\/4)*g*g*g)**25*(g\/g**(-1\/3))**(2\/9)) assuming g is positive.\nAnswer: g**(-487841\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/(21\/(-153)*(-348)\/406)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7*z**4\/24 + z**3\/2 + 1501*z**2 + 2. Let a(n) = 15*n - 7. What is 6*a(g) + 13*c(g)?\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 8*a + 5. Suppose 5*w + 2*q + 45 + 196 = 0, -4*w = -5*q + 173. Let k = w + 39. Calculate z(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 4. What is the remainder when 100 is divided by p(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*y - 812*y - 773*y + 2340*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -644 (base 7) to base 12.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10c + -2?\nAnswer: -10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223020 by 2478.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 2.5. Let m = x - -2. Let j = -0.7 - 0.3. Is j >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -0.5 (b) -0.3 (c) -30 (d) -5 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 4:26 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1046, -2098, -3160, -4232?\n\"Answer: -5*v**2 - 1037*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2199\/656 + -7\/82. Find the common denominator of p and (-69)\/(-10)*20\/96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = 2*d - 45. Solve -4*y - d = 21*n - 22*n, 3*y + 7 = 5*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 2.5142502143?\nAnswer: 2.7142502143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*n - 60170*k**3 + 3130*k**2 + 3*k - 4*n wrt k.\nAnswer: -6*n - 361020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 11 = -3*b, -3*b + 3*i = -25894 + 25906 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 210309452 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*p**2\/7 - 136*p\/7 + 16\/7.\nAnswer: (17*p - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((-1*sqrt(171))**2*4 - sqrt(171)).\nAnswer: -5472 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4)\/(1\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g. Let l(b) = 3813*b**2. Determine l(s(c)).\nAnswer: 95325*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -25 - 9 + 169*t - 8*t**2 - 6*t**2 + 16*t**2 - 6*t**2. What is the tens digit of f(41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*7 + -3 + 1. Let z(t) = 1 + 3 - t**2 - x*t + 13*t. Let w be z(7). What is the highest common factor of w and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -567406 at most -567405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 207*l - 1999. Let a be x(78). Solve d - s = -1, 110*d + 5*s = a*d + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 1563 in descending order.\nAnswer: 1563, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236016450 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 158451, 633651, 1425651, 2534451, 3960051, 5702451, 7761651?\n\"Answer: 158400*s**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:50 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274142, -274145, -274148, -274151, -274154, -274157?\nAnswer: -274160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1428*s**2 - 2*s**3 - s**3 - 75736 + 75738 + 2*s**3 + s**3 - 2*s**3 + (2*s - 2*s + s)*(-2 + s**2 + 2) to f + c*s**3 + x*s + n*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 215, 4.\nAnswer: 2, 4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 = -3*a, -3*a + 4*a = 3*x - 8. Let t be (-10)\/a + (-5)\/(-10). Let p(v) = -v**2 - 9*v - 11. Let w be p(-8). Put -5, t, w in descending order.\nAnswer: t, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25300 + -24919. Calculate the remainder when 459 is divided by k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -331*i**6\/60 + 61*i**3 + 13*i**2. What is the first derivative of y(g) wrt g?\nAnswer: -1986*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49206, 49578, 49950?\n\"Answer: 372*r + 48834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 15. What is the highest common divisor of 16 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145569 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhyf when four letters picked without replacement from {y: 2, c: 3, h: 5, a: 6, f: 1}.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 - 4*a - 3. Let v(c) = c**2 + 5*c + 4. Suppose 0 = -5*s - 16 - 39. Let q be 3*(2 + s\/3). Let p be v(q). Determine x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q - 4. Let w be u(-3). Let d = 50.84 - 51. Let h = d - 5.84. Is h at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(18\/(-15)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1060)\/5565*7\/(-6). Let i = 2\/163 + -503\/1141. Let j = 0.5 + -1. What is the nearest to i in j, r, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/11 (c) 1\/7 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14 - 11 - s + 6*s - 4*s. Let j be l(0). Let h = j + 44. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 658.4 + -638.4. Which is smaller: 0.7 or o?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {i: 2, u: 3, d: 2, f: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129262 or 129263?\nAnswer: 129263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 569, 1139, 1711, 2285, 2861, 3439?\n\"Answer: g**2 + 567*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (-18 - 14 - -25)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a**2 + a)*(a + 2*a - 4*a)*(-a + 7*a + 0*a).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182323263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/427 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*j - 2)*(1 + 3 - 2)*(-4 + 6 + 1).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, o: 6, u: 2}. What is prob of sequence ooos?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -19*q**2\/2 + 2. Suppose f + 31*v = 29*v + 33, -v + 119 = 3*f. Let a(k) = -38*k + 78*k - f*k. Calculate a(d(r)).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6249563384 to 4 decimal places.\nAnswer: -0.625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60621 to 2 decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00988391 to 5 dps.\nAnswer: 0.00988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = 0. Suppose 6*i - i = d. Factor -1\/2*w**5 + 0 - 1\/2*w**4 + 0*w**3 + 0*w + i*w**2.\nAnswer: -w**4*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 185*x - 7399. Calculate d(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -345011, 1 in increasing order.\nAnswer: -345011, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/120 + l**4\/12 - l**3\/3 + 9*l**2. Let z = -48 - -34. Let x be (-4)\/z + (-12)\/(-7). Give j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4.26, 3, 2, -0.1, 0.4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3029*h + 1468343. Give w(606).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -93500*-0.054\nAnswer: 5049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -759152573 or 1\/3?\nAnswer: -759152573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1184)\/888*((-2)\/(-1))\/(-4)*-15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 - 2)) + (2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, j: 2, k: 7}. Give prob of picking 2 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -600 + 976. Let r = 226 - f. Are -150 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1642, 1571, 1498, 1423, 1346, 1267, 1186?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 60*d**2 + 225*d - 270 = 0. What is d?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*c + 6014 = -9835 + 2693 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (418\/1463)\/((-94)\/14)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 13326291*u\/4 + 6663145\/4.\nAnswer: (u - 6663145)*(2*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmdmdmmmbdddbdwmwm. Give prob of sequence db.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/3360)\/(20\/(-1295))*4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.59 in -3, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469857990 a multiple of 14231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - u**4 + (3*u**2 - 2*u**2 + 2*u**2)*(u**2 - 3*u**2 + u**2) - 17*u + 17*u - 6*u**4 + 20*u**4 + 2*u**4 + 2*u**4.\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -102*n**3 - 10*n**2 - 37*n - 73. What is the hundreds digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1860907, 3721807, 5582707, 7443607?\nAnswer: 9304507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*h + 39479 - 9*h - 39526 in the form m*h + n and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11534?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2571*p + 1. Let h(v) = -2651*v. Give -2*h(a) + 3*m(a).\nAnswer: -2411*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25, 3, 5, 7 in increasing order.\nAnswer: -1, 3, 5, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14240435519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 3. Suppose d*x = 2*x. Let c be -1*1 - (-10)\/6. Is c bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-176) + -100*(24\/22)\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**2 + 224 - 383 + 159.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 14 (b) -3 (c) -1\/7 (d) -26\/5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 15*r**2 - 9*r + 36. Let t be m(6). Let g = t - 149. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*b - 268*b - 9 = -l, 14*l = b + 74 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 3 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 243, 1179, 2717, 4857, 7599?\n\"Answer: 301*a**2 + 33*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210051 (base 8) in base 4?\nAnswer: 101000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5128, 5088, 5048?\n\"Answer: -40*m + 5168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 5a8?\nAnswer: -5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*((-21)\/6 - -3). Let h(c) be the second derivative of c**4\/12 + c**3 + 5*c**2\/2 - 384*c + 8. Calculate h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (-10 + 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + r + 2 = -2, 0 = 4*x - 2*r. Which is the smallest value? (a) -1\/3 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(2187) - sqrt(2187))*-2 + -1)**2*-2.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 58*w + 16. Let o(x) = -39*x - 11. Let c(s) = -5*m(s) - 7*o(s). Let t be c(-1). Calculate the greatest common factor of t and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*u, -j - 8*u + 4*u + 17 = 0. Which is the nearest to -3\/4? (a) 0.3 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*d - 752 = 35*d - 96*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 0*k**2 - 7663*k**3 + 7669*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 79\/2*36\/(-30)*5. Let a = j + 404. Let p = 299 - a. Calculate the remainder when p is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2250 - 1953. Calculate the remainder when b is divided by 59.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-644))\/((-1)\/(-7))*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90*(-31)\/(-1705))\/(-3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53930 divided by -5393.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/20 - (-57)\/12. Suppose o*b - 136 = b. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52957983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 65*p**2 + 40*p + 80 - p**3 - 107*p**2 - 20. Calculate the remainder when l(-43) is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 8, o: 4}. Give prob of picking 2 h and 2 f.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/35 and 31\/2415?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*v + 2 = 123*v - 2*u, -2*v + 2*u = -20. What is the highest common divisor of v and 2802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = 3*n + 4*k, 3*k = n - 21. Suppose -3 = -2*l - n, -4*l = 5*d + 17. Let a(f) = -2*f**2 + f. Calculate a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 10:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.1 (b) -0.9 (c) 4 (d) -7 (e) 3\/362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174 in 0, 2834\/7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/((4158\/(-21))\/9)\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 7:53 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6185822.\nAnswer: 2, 991, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Let m = -0.00291 + 0.30291. Which is the nearest to -1\/4? (a) 14 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5036980 to the nearest integer?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -415 (base 7) to base 3\nAnswer: -21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1311502)\/(-8)*4\/3. Let o = v - 220579. Let t = 1973 + o. Calculate the common denominator of t and -79\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26893048081*p**2\/5 - 1311928*p\/5 + 16\/5.\nAnswer: (163991*p - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 106*f**3 - 1 + 1 - 770*f**3.\nAnswer: -664*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 4*f + 1. Let r be v(-3). Let d(h) = -3*h - 8. Let a be d(r). Let s be (1*-1)\/(-3 - -2). Solve -a = -2*x + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*9\/((-135)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:29 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16836 divided by 4?\nAnswer: 4209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -111*c**2 - 159*c + 2392. Calculate z(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/706307 and -34\/759.\nAnswer: 23308131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -101.6, -4.3, 0.44 in decreasing order.\nAnswer: 0.44, -4.3, -101.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*o**3 - 278*o**3 - 34*o**3 - 16*o**3.\nAnswer: -404*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925067659 a multiple of 1624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((55\/(1320\/(-48)))\/((-2)\/(-4)))\/((-56)\/(-12)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 56 = 13*b. Let x be 7 - (b + 1 - 13). Solve -1 = 4*k + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (317*l + 695*l + 2386*l + 2917*l)*(8 - 8 - 4*l) in the form s + t*l**2 + w*l and give t.\nAnswer: -25260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t + 1. Determine w(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10780, 21610, 32440, 43270?\nAnswer: 54100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 1.4. Let g = 0.4 + t. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 8 - 11 = 5*i, y = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r - 390 = -1050 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 260*u**2 + 10*u - 10. Suppose 0 = 5*y + y - 6. Is n(y) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-2 - h + 2) + (-1 - 2*h + 1)*(-2 - 1 + 1).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -584*o**3 + 229*o**2 wrt o?\nAnswer: -3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -438 + 787. Let k = o + -347. Which is the fourth smallest value? (a) k (b) -6 (c) -1\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/217 - (-250)\/(-14))*(261\/6)\/(-29).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -29*a + 4. Let t be m(0). Let g be (0 - 1 - 0)*-5. Solve 5*r - 3*r + 4 = 4*z, 0 = -t*z + g*r - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let b be 2\/(-7) + v\/14. Let z = -3 + b. Let q(m) = m + 5. What is q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 482, 477, 472, 467?\n\"Answer: -5*d + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3912428?\nAnswer: 2, 13, 75239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 11, 9, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blblbbbllbbbbbbbbbbb. Give prob of sequence ll.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 549870 and 18?\nAnswer: 1649610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2183, -2231, -2367, -2639, -3095, -3783?\n\"Answer: -8*v**3 + 4*v**2 - 4*v - 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -289.\nAnswer: 8959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 275*s + 0*s**3 + 553*s - 278*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**2 + t - 70. Let o be u(0). Let f = -59 + 8. Let p = f - o. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/6 - 3*n + 12. Let m(g) = g**2 + 19. Calculate m(k(f)).\nAnswer: f**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = 2*w - 3*w, 27 = -3*a - 5*w. Let m = 6 + a. Suppose -l - 2*l = -m*y - 4, -4*l = 4*y - 12. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 33, 75, 135, 213?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 4 - 10\/(-2). Let j = 9 + t. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203201133 - -221130?\nAnswer: -202320003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6322 and -75.4.\nAnswer: -47.66788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 200*o - 6. Let s(r) = r**2 - 201*r - 7. Give 5*s(g) - 6*u(g).\nAnswer: -g**2 + 195*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (0 - -1)) + -4 + 24.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 41 = 3*r - 139, 5*z + 150 = 3*r. Let j(s) = -2*s**2 - r*s + 55*s. Let w(f) = 12*f**2 + 1. Determine j(w(a)).\nAnswer: -288*a**4 - 48*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) -0.4 (c) -2\/7 (d) -8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2739 smaller than 4\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 3, -1, -66, 2, -3 in descending order.\nAnswer: 3, 2, -1, -3, -66, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116142354 - -3?\nAnswer: 116142360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2.01, -60, -0.4 in decreasing order.\nAnswer: -0.4, -4\/7, -2.01, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420844627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1749.\nAnswer: -2\/1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 26*n**2 - 7*n - 8. Let b(x) = 26*x**2 - 8*x - 9. Let r(s) = -6*b(s) + 7*v(s). Let d be r(2). Suppose 5*f - f = d. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4 - 10*t - 8. Find the first derivative of w(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.443120547 rounded to two dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 1. Let z(n) = -2*n**2 + 2*n**3 + 0 + 181*n - 175*n + 8. Suppose 2*p - 36 = -0*p. Suppose 0 = -5*h + 12 + p. Determine h*i(b) - z(b).\nAnswer: -2*b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (984\/1640)\/((2\/230)\/((-1)\/(-3)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -523 - -523.02. Which is the nearest to w? (a) 1 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3 - 0. Let o = 3 - x. Find the first derivative of 3*l - 1 + 5 - o wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k. Let t(u) = 6*u - 12*u + 2*u + 6*u. Let c = -49 + 35. Calculate c*t(w) + 3*l(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723171?\nAnswer: 17, 101363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 12 = 4*p + 8, -5*w = 2*p + 26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4\/2 + 51*f**3\/2 + 27*f**2 - 624*f - 1680 = 0.\nAnswer: -14, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 48. Let x(t) = -t + 2. Let n be x(6). Let o be (n\/(-10) + 0)*-10. Which is the closest to 0.1? (a) o (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:25 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1195*k - 1198*k + 9057. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 9 = -5*z. Suppose c - z = -48. What are the prime factors of 2\/(18\/c)*-6?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122 (base 3) to base 8.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 33. Suppose 12 = -4*h, -5*p + 66 = -0*p + 3*h. Calculate the lowest common multiple of p and s(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741.853t in milligrams?\nAnswer: 2741853000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q + 3*q - q**3 - 3*q**2 - 4 + 3 + 0. Let i = -124 - -119. What is the tens digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/30 and -31\/2267232.\nAnswer: 11336160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 1419, 2211, 3095, 4101, 5259?\nAnswer: 6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 + 4 + 3*h**2 - 3*h - 6 - 11. Let z be v(-7). Let j = z + -109. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -38*b**2 + 65*b - 11. Let l(v) = v**2 - 16*v + 2. Give -4*l(r) - y(r).\nAnswer: 34*r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22441, 179454, 605611, 1435480, 2803629, 4844626, 7693039, 11483436?\n\"Answer: 22428*h**3 + 4*h**2 + 5*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - (-7 + 6 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/21 and -38\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by (38 - 3) + 3 + -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5117*j**2 + j + 1868. Let g(c) = 108*c**2 + c. Let y(u) = -g(u) + s(u). What is the first derivative of y(d) wrt d?\nAnswer: -10450*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d + 2*d**4 - 26*d**2 + d**3 + 5*d**2 + 9*d**2 + 9*d**2 in the form r*d**4 + u*d**2 + i + m*d + w*d**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52991797?\nAnswer: 239, 221723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d - 561. Determine b(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 + 1345. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*3*(-224)\/(-336))\/((-8)\/112)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -38. Let m = h - 22. Sort -1, -1\/3, m in increasing order.\nAnswer: -1, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - (-37536)\/(-480) - (0 - (-121)\/(-5))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 813, 1828, 3249, 5076, 7309?\nAnswer: 9948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -20*u**2 + 11*u - 3. Let l(s) = 7*s**2 - 4*s + 1. Suppose 68 = 11*z - 7*z. Let n(x) = z*l(x) + 6*q(x). Factor n(g).\nAnswer: -(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:44 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a**2 + 0*a + 1\/16*a**4 - 1 + 1\/12*a**3. Factor x(h).\nAnswer: h**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 267?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + 11*r + 4. List the prime factors of l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72835, -82240, -91645, -101050, -110455?\nAnswer: -119860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 8529 - 8644 = -v, -35 = v - 5*y + 4*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 19. Let f be 64 - 2 - (-2 + -2). Let x = p + f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 957411 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 2*p - 7*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 457791 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88 - -1a?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.58285 rounded to one decimal place?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -107?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 5. Let m = x - -10. Let w = 48.3 + -49.3. Which is the third biggest value? (a) m (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 144. Suppose 0 = -7*q + 3*q + r. Solve 3*d + 18 = -3*n, -3*n - 2*n = -2*d + q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 3, w: 6, f: 4, c: 3}. Give prob of picking 1 w, 1 f, and 1 c.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*y = 2*r + 230*y + 25, 5*r - 2*y - 6 = -3*r + 8*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -380610324?\nAnswer: -380610324.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z + 20. Let y be g(0). Suppose 5*v - y = -5. What is the tens digit of (-1 + 0)*(v + -14 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l**3 + 73*l - 73*l)*(3*l - 2*l + l).\nAnswer: -38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 4*p - 224 = 10*s, -170 = -3*s + 2*p. Calculate the highest common divisor of 58 and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2 - 1 + 3*j + 4*j. Let o(q) = -8*q - 1. Suppose -2*t - 7*c + 4*c - 10 = 0, 0 = 5*c - 10. Let p = -14 - t. Give p*x(i) - 5*o(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - c + 2*h - 14, 2*h + 10 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 71180 to the nearest 1000.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 - 53817*w**4 - 914325*w**3 - 5431071*w**2 - 12635460*w - 8064900 = 0. What is w?\nAnswer: -17922, -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-18)*(-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**2 + 19*t**2 + 19*t**2 - 71*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = 11. Suppose -t*b + 61 = -51. Let y = b - 19. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*0.009.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709, -1412, -2111, -2806, -3497, -4184, -4867?\nAnswer: -5546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 146, 4, 9442 in decreasing order.\nAnswer: 9442, 146, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/180 + v**5\/60 + v**4\/6 - v**3\/2 + 4*v**2. Let p(r) be the first derivative of g(r). Factor p(j).\nAnswer: -2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 14256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*p**3*z**3 - 5*p**3*z**2 + 13*p**3*z - 456*p**2*z**3 - 2*p**2*z**2 - 2*p**2*z + 10*p*z wrt p.\nAnswer: 72*z**3 - 30*z**2 + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 + -6. Let w = -0.1 - o. Let k = 0.1 - -0.1. Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 - 8*g**2 - 2*g**2 + 7*g**2 + 42 + 40*g + 123 = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-30) + 1\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-4)\/4) + 1. Suppose 0*v + b - 11 = -2*v, 5*b = -v + i. Suppose a = -v*a + 98. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13*a**3 + 6*a + 3. Let o be w(-2). Suppose o = h - 4. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261*(-1602)\/(-10324)*3\/9*-2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -74, -105, -138, -173, -210, -249?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*i**3 - 11*i**2 wrt i.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + -2a9?\nAnswer: -31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -1604173?\nAnswer: 1604183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2470917 and 12.\nAnswer: -2470905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.96 to 1 dp.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/i**(-2\/15)*(i**1)**(14\/11) assuming i is positive.\nAnswer: i**(-1088\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -325987*c + 4 - 360717*c - 679964*c. Let w be 6\/2 - (0 + 0). Let d be z(w). Round d to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 2936509.\nAnswer: -2055556.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 2\/5, 1\/3 in increasing order.\nAnswer: -35, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237359 = -4*v - 4*h - 48615, -5*v = 3*h - 235936. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 - -6. What is the smallest value in 5, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h + 1)*(188 - 31 + 110)*(3 + 1 - 5).\nAnswer: -534*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54977*f**2 + 46*f - 20 wrt f?\nAnswer: 109954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 1 + v + 0*v - 68*v**3 + 71*v**3. What is k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123041 = -4109*n - 549*n - 49305 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329\/(-147)*1932\/(-92).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(-1\/11)\/y)))\/y)\/y**(3\/8)*(y**4\/y)\/y**(2\/99) assuming y is positive.\nAnswer: y**(37\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweawaeewwswwoe. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 23*a - 22. Let t(w) = w**2 - 8*w - 7. Let m(k) = 8*t(k) - 3*u(k). Let b(g) = 4*g**2 + 7*g - 8. Let s be b(-3). Determine m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.2 times -2\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16564 divided by 1726.\nAnswer: 8282\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -569 + 2847\/5. What is the nearest to p in 2\/3, 13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 2*z + z - 4*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 7 = 0. Let o be (-12)\/9*(2 - i). Is 3 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 763 and 230535?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 1. Suppose -4*h = -h + 9, -2*x + 2*h + 4 = 0. Let j be l(x). Find w, given that w**4 + w**j + w**2 - 3*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 70 - 69, 2*y = -2*k + 2. Solve 5*z + t - 12 = y, -2*t - 4 = -9*z + 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1202030.48329 + -13.51671. Let m = u - -1202044.6299902. Let n = m + -0.63. Round n to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2\/5 - 112*c = 0?\nAnswer: -140, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**9\/5292 + v**7\/735 - v**5\/210 + 8*v**3\/3 - 6. Let h(g) be the third derivative of y(g). Suppose h(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10*d - 6 = -5*d, -8 = 2*j + 3*d. Let p(q) = 1. Let t = -17 + 17. Let x(k) = -2 + k + t*k + 0*k + k. Calculate j*x(l) - 2*p(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 5738 and 5739 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-21)\/(-420))\/(3\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {v: 1, u: 6, y: 1, d: 4, j: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651127 is divided by 1042.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -20, 6, 62, 160?\n\"Answer: 2*f**3 - 3*f**2 + 3*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -26 - 142. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/141 + 3544\/6909. Let x = j + -813\/1568. Let o = 41\/96 - x. Which is the smallest value? (a) -8 (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597435?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 25*l + 3. Let h(s) = 2*s + 7. Let u be h(9). Let q be k(u). Solve 4*t - q = -7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*a = 435*a + 333*a + 2185. Let y(x) = 4 + 5*x + 2 - 1. Let o(q) = 6*q + 4. Calculate a*y(s) + 4*o(s).\nAnswer: -s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(44) - (sqrt(11) - (-2*sqrt(1100))**2)).\nAnswer: -7*sqrt(11) + 4403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118619280*z**3 + 18*z**2 - 47705*z + 26 wrt z.\nAnswer: -711715680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05483404 rounded to 4 dps?\nAnswer: 0.0548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36561 and -1588?\nAnswer: 38149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-6 - 4 + 4)*(-3*f**2 + 5*f**2 - 3*f**2)*(2*f - 2 + 2) in the form t + o*f**3 + a*f**2 + c*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -17. What is the units digit of i + (-2)\/((-8)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/443 (b) -7 (c) 3 (d) -0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/15905 + 1988089\/286290. Find the common denominator of h and 53\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242899.4 - -21.\nAnswer: -242878.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5663 = 878*o + 13820 + 1150 + 8341 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-577)\/(-63)) + (-4836)\/(-10881).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914959833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2\/5, -2\/7, -319, -5, -2\/9 in increasing order.\nAnswer: -319, -5, -2\/5, -2\/7, -2\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11330132 + -10?\nAnswer: -11330202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/7 - 1233\/(-21).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12921 times -0.03?\nAnswer: 387.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83.757 + -84. Let l = 1.243 + s. Suppose -3*f - 15 = 48. Which is the third biggest value? (a) f (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 40*n - 337. Give c(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {a: 2, r: 1, q: 1, d: 2, v: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*(8\/1)\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 1*(-1 - 3). Differentiate 0*i**4 - u*i**4 - 10*i**2 + 1 + 10*i**2 with respect to i.\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*u - 5*u - 91*u - 1680 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107942008.\nAnswer: 2, 1301, 106451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*q**3 - 349*q**2.\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0, 0.2, -18, -4, 3\/20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 18 - 10. Let z(r) = 246 + 5*r - 3*r - 248 - r. Let o(w) = -w + 2. Determine g*z(s) + 6*o(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -4. Suppose 35 = 3*o + u, 58 = 4*o - u + s. Calculate the remainder when 35 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -251*x**2 - 9*x - 63. Let b(c) = -63*c**2 - 2*c - 15. Determine -9*b(s) + 2*z(s).\nAnswer: 65*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-34) - ((-653253)\/(-8789))\/123?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 6. Let u be d(5). Let q(i) be the second derivative of i + 0 - 1\/6*i**u + 0*i**2 + 1\/3*i**3. What is the second derivative of q(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 5. Let y = w + -2. Suppose 0 = -4*j - 5*b + 6*b + 761, -2*j + y*b = -373. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1))**28)**2)**29 assuming k is positive.\nAnswer: k**(-1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j**2 + 2*j + 114*j**2 + j**2)*(-38 - 66 - 10) to the form y + n*j**2 + z*j and give z.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 3. Let t(r) = r**2 - 18*r + 4. Let l be t(o). Determine b, given that b**3 - b + 1\/3*b**2 + 1\/3*b**l - 2\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 + -131. Let z(g) = -4*g**2 + g - 1. Let c(v) = -v**2 - 1. Let h(q) = 2*c(q) - z(q). Give h(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6932596*h**3*n - h**2*n - 7*h**2 - 634*h*n + 2*h - 5*n wrt h?\nAnswer: 41595576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 2:53 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/26 in 2, -4, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -n + 312, 7*n - 1283 = 3*n + 5*y. Which is bigger: 1305\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-1 + (-27)\/12). Suppose 3*i + 2*w = -2*i + 21, w = -3*i + t. Let f = i + -6. Which is smaller: -2\/13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 4, -0.02, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 14*y**2 - y + 2. Let z = 481 + -495. Determine h(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/25 - 130\/(-25). List the prime factors of ((-5)\/(-3))\/(5\/720*f).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -4*r - 2, -r + 32 = 4*z. Let a = -2 + -3. Calculate the common denominator of -93\/4 and 3\/a*5\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6558)\/8)\/(1 - (-49)\/(-28)). Suppose -y = -5*l + 272. What are the prime factors of l?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + sqrt(190)*2 - sqrt(190)) + (5*-2*sqrt(190) - sqrt(190)))\/(sqrt(120)\/sqrt(300)*-3*-2).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/24 + (3\/1 - -1). Suppose -3*j + 4 - 15 = 5*n, 4*n + m = 0. Let d(z) = z**3 + z**2 - z. Let q(b) = b**3 - 4 + b - b**2 + 4. Calculate j*q(t) - 2*d(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:09 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k - 327. Let z be n(-22). Let j be (-7)\/(-14) - 45\/(-2). Suppose -5*v - z = -j. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36773, 73941, 111105, 148265?\nAnswer: 185421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28773594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 9) to base 12.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100011001100101101?\nAnswer: 100011001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 minus 0.06111?\nAnswer: 1.13889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*g + 3*r + 15, -5*g + r + 36 = 0. Let x be 1518\/24 - (-2)\/(-8). Calculate the greatest common factor of g and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -475*t**4 + 213*t**3 - 1666565*t.\nAnswer: -5700*t**2 + 1278*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 644 and 33166.\nAnswer: 66332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*w**2 - 73*w**2 + 435*w**2)*(0*w - w + 0 - 1) + 2*w**3 - 3*w**3 + 2*w**3.\nAnswer: -440*w**3 - 441*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -8. What is the greatest common factor of m and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let g(i) be the first derivative of -82\/3*i**3 + 253 + 0*i**2 + 0*i. Calculate h(g(b)).\nAnswer: 82*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, h: 1, g: 3, d: 9}. Give prob of sequence rddg.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13500000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 4. Let v(h) = -27*h - 15. Let k(b) = 15*c(b) - 4*v(b). Let m(q) = q. Let o = -340 - -344. Determine o*k(d) - 9*m(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298816 is divided by 2952?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10913760 divided by 583.\nAnswer: 18720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/91, 0.07789, -0.4 in increasing order.\nAnswer: -0.4, -2\/91, 0.07789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1641, 5556, 12067, 21168, 32853, 47116, 63951?\n\"Answer: -p**3 + 1304*p**2 + 10*p + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 14 + 14 = 0. Let k(m) = m**2 + 5*m + 4. Let n be k(z). Let v be 0 + 1 + (30 - 4). What is the highest common factor of n and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 666206046 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3843, -4, 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekkekeielle. Give prob of picking 1 k, 1 e, and 1 l.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 3*o**2 - 9 - 822*o + 838*o. What is the tens digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/((-1)\/2*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 172. Let z be i(-25). What is the closest to -0.1 in z, 0.46, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2*8*(-5)\/(-30))\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(175\/(-5))*0. Solve 2*i - 2*a = -c*a + 6, -5*a - 7 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i + 2 - 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-585)\/6)\/5*(-4)\/(-6). Do -12 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 1b0b0?\nAnswer: 1b0a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1348751 to the nearest ten thousand.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65764, -65747, -65732, -65719?\nAnswer: -65708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -2 (b) 5 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*k = -10*k + 482 + 288 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/3 + 15427144*i\/3 + 29749596499592\/3 = 0.\nAnswer: -3856786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 8 (b) 0 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (65032\/(-352))\/((-2)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/(p*p**(-2\/5))*p))\/p*p)**(-34))**(-15) assuming p is positive.\nAnswer: p**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:00 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11320268*i**3 + 11731743*i**2 wrt i.\nAnswer: 67921608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -201311202013?\nAnswer: 201311202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b (base 16) in base 5?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Is (28 + -3)\/(j\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w + 492. Let q = -168 + w. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 296*r + 520. Is v(13) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1599 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 + 3*u - 2. Let s be k(-6). Let c = 40 + s. Let h = c - 19. Which is smaller: -2\/19 or h?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -5)*-1*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005125 is divided by 1811.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {r: 8, w: 3, i: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycfs when four letters picked without replacement from cccccssffyc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 1145204?\nAnswer: -1145210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 29 - 28*n + 35 + n**2 + 12*n = 0. What is n?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -24. Let g(s) = s**2 + 5*s + 2. Let r be g(-5). Factor 55*w**r - 34*w**2 - p*w**2 - 5*w**3.\nAnswer: -5*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*p + 33 - 19*p - 33.\nAnswer: -100*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 4*l - 30.\nAnswer: 2*(l - 3)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2543*(-1 + 0)\/21. Let u = 121 + o. Let b = -0.5 - 0. Sort -0.2, u, b.\nAnswer: b, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:31 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:35 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87893 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12496 + -324843\/26. Let p = 22\/441 + 18479\/9702. Calculate the common denominator of p and d.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10366.5 + 10367. Which is the biggest value? (a) -0.048 (b) 0.18 (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 45. Let p(q) = -9*q - 46. Let h(k) = -5*j(k) + 6*p(k). Let f be h(-13). Let b = 89 - 94. What is the second smallest value in f, b, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*d + 5*d + 4*x, 0 = -5*d + 5*x. Let y = -11 - -13. What is the third derivative of 13*b**5 - d + 5 + b**5 - 24*b**y wrt b?\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 2*o**2 + 2*o + 12. Give g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*d + 133 = -2*j, j - 50 = -4*d. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 772*g**2 - 62*g + 189?\nAnswer: 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13282, 26610, 39970, 53356, 66762, 80182, 93610, 107040?\nAnswer: 120466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087 times -4?\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27*k**2 + 23*k - 2. Let u be z(-1). Let x(y) be the second derivative of 9*y**u + 1\/6*y**4 - 2*y**3 + 0 + 8*y. What is g in x(g) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 742 + -5579099\/7519. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364\/(-156) - (-123)\/(-36) - -9\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 1, p: 1, z: 6, c: 1}. What is prob of sequence cgg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/3 - i - 10. Determine q so that c(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -18. Suppose -x*r = -r - 4*p - 78, -2*r - 4*p + 62 = 0. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/7, -77\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6925 is divided by 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 42899, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47129*i**2 + 35347*i**2 - 31341*i**2.\nAnswer: 51135*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*r + 126*h - 474*r - 3 wrt r.\nAnswer: 2*h - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/20 and -71\/1472004.\nAnswer: 7360020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hoyonoonihhoninqoh.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 0.3, 0.147?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3650, 3623, 3578, 3515?\n\"Answer: -9*x**2 + 3659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/10417 - -4937364\/510433. Let z = 2253\/196 - j. Let y = -15\/14 + z. What is the second smallest value in 3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/15)*a)\/a*a*a**(-2\/5))\/(a**3\/a**(-5)) assuming a is positive.\nAnswer: a**(-113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 1, d: 1, c: 1, k: 1, j: 1}. What is prob of picking 1 j, 1 a, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2 and -1\/302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -67*m - 450. Calculate the remainder when 413 is divided by g(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2. Let j(p) = 349*p. Calculate f(j(q)).\nAnswer: 243602*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2541*b. Let t(w) = -w + 411. Determine j(t(x)).\nAnswer: 2541*x - 1044351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 834549, 834851, 835347, 836031, 836897, 837939, 839151?\n\"Answer: -d**3 + 103*d**2 + 834447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - 719. Determine i(19).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 24242122231?\nAnswer: -24242122224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92053 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2 - y - 1. Let h(p) = -100*p**3 + 10*p**2 + 10*p + 10. Give 10*g(j) + h(j).\nAnswer: -110*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 0.38. Let d = 1.6475 - -1.3525. Put -4, d, x, -0.8 in decreasing order.\nAnswer: d, x, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 = -52. Suppose -h - 4 = 0, g = b - 4*h + 16. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34195119558419207 + 34195119741449294.48999941. Let r = f - 183030086. Let w = r + -1.49. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {h: 8, x: 2, g: 2, v: 1, e: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 33. Let h = -7 - -10. Which is the nearest to -1? (a) -1\/9 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 28*l + 49. Determine d(24).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71951*d - 36021*d - 35982*d.\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 45558 + 49275 = 0. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408171.\nAnswer: 3, 136057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 213, 479, 851, 1329?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 690 + 454 = 0. Let l(g) = -9*g + 49. Let t be l(4). Calculate the highest common divisor of t and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 456*w**3 + 9572*w**2 - 21060*w + 184.\nAnswer: 4*(w - 2)*(w + 23)*(114*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*l - d, 0*d = -2*l + d - 14. Let n be 9*1 - l\/(-6). Calculate the common denominator of (-2)\/6*(-852)\/n and 7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, 1, 6905, 4, -3 in decreasing order.\nAnswer: 6905, 5, 4, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.747069 times 0.3?\nAnswer: -2.9241207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 14*l - 25*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 5 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 62352 = -7*r + 21*r. What are the prime factors of r?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 2*c - 4. Suppose 4*v + 20 = -0. Let s be z(v). What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 694 (b) -5 (c) -2\/15 (d) 1\/201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2575004 (base 9) to base 6\nAnswer: -50101051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 28 = -2*c. Let n = 4058 + -4059. Sort 1, n, c, 5.\nAnswer: c, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1547\/(-98)*(-218)\/1853.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 7*d + 5. Let g(r) = r**2 - 7*r - 4. Give -4*g(h) - 3*n(h).\nAnswer: -h**2 + 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64 - 3354816418.\nAnswer: -3354816418.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 52 = 3*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 13.5. Let o = 0.32 - 0.3. Let v = 0.38 + o. Which is the nearest to 0.1? (a) v (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -97611.\nAnswer: -97611.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4) + 1\/(-2). Let x be (8 - 9)*(-3 - j). Find the first derivative of 19*o - 19*o - 6 + x*o**3 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 954.989 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 6*k = 43, k + 16 = -9*k + 12*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:26 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8718186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34132413 - -15?\nAnswer: 34132432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, p: 1, w: 1, n: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l + 6. Calculate the remainder when m(-5) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*y - 38 = -123, 7*d + 2*y + 157 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 + 23*h**2. Let u(j) = 2*j**3 - 24*j**2 - 192*j - 512. Let o(v) = u(v) - 3*z(v). Factor o(y).\nAnswer: -(y + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 + -5 + (3 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 2570*l - 2549*l + 5119*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 9*g - 1. Let d(n) = 6*n**2 - 8*n - 2. Let i(t) = -6*d(t) + 5*v(t). What is i(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5 - 1495*f**4 + 35123*f**3 + 266251*f**2 + 900*f - 1323900 = 0.\nAnswer: -5, -3, 2, 30, 1471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*z - 8, 5*l + z - 2*z = 10. Let g(m) = m - 5. Let t be g(9). Calculate the greatest common factor of t and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -54*m**3 - 2*m**2 - 3*m - 1. What is the units digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20634 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**3*g**2 + 798*b**3*g*j**2 - b**2*g - 11002*b*g**2*j**2 + 2*b*g*j**2 + g*j**2 + 2*g wrt g.\nAnswer: -14*b**3 - 22004*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 674088 plus 0.03?\nAnswer: 674088.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 560976, 560964, 560952, 560940?\n\"Answer: -12*i + 560988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + l - 9, 18*o - 10*o + l - 12 = -39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + c**2 + 2*c + 1. Let w(l) = 6 - l**2 - 1 + 6 - l - 10. Let h be w(1). Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1236*c**2 + 8*c + 3. Is a(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dspz when four letters picked without replacement from {m: 6, z: 4, p: 3, d: 2, s: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 382939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 9:38 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**4*w + 2*c**2*w**2 - 2984*c**2 - 2*c*w + 4*c + 133713*w**2 wrt c.\nAnswer: -96*c**2*w + 4*w**2 - 5968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 14 = 8*q. Let t(p) = 3*p - 3. Let n(v) = 6*v - 5. Determine q*n(j) + 5*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/7 (b) 20 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 3:22 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29\/4? (a) 9051 (b) 1 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -223310 smaller than -223311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgajgfaggx. Give prob of picking 2 g and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1927*q - 7765*q - 20875*q.\nAnswer: -26713*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 8 = 5*r. Let v(x) = -17*x - r*x**2 + 12*x + 5*x. Let t(d) = -2*d**2. What is t(v(c))?\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 221 - 8*i**3 - 205.\nAnswer: -3*i**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 - 1584*y - 3152 = 0.\nAnswer: -394, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18036 + 34.96764. What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 254.7. Round r to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1694 and 15554.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169879 is divided by 56317.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 3*i - 465, 5*i = -5*j - 2425. What is the units digit of ((-2)\/(-6))\/((-10)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4 - -1) + 136 + -139\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 16*g**2 - 35*g + 39. Let j be v(-18). Solve 0*d = 3*n - 4*d - 17, 5*n - 3*d - j = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 3\/2, 35, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-606)\/404)\/(9\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 3*b, -a + b = -b - 16. Let s = -10 + 12. Let l be 1 - -1 - (s + 0). Solve l = -3*m - m + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 i when three letters picked without replacement from rjxrzxjjjxixrjrxjrx.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/33, 0.1, -0.4 in decreasing order.\nAnswer: 37\/33, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010101 - 1011101101001100010?\nAnswer: -1011101101101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05048 in 0.5, -2\/3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:29 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*z, 0 = -q + 2*z + 88 + 10. Suppose 3*l - 244 = -2*l + t, q = 2*l - 2*t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/(400\/(-160)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*i**2*o - 7*i**2*u**3 + 26*i*o*u**3 + i*o*u**2 - 2*i*u**3 wrt i.\nAnswer: 210*o - 14*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237 - 234. Let b = -73\/2 + 38. Sort v, -1\/5, b in decreasing order.\nAnswer: v, b, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320050777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -9. What is the second smallest value in j, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-1 + (4 - 69)). Let y = a + -79. Let m(h) = h**3 + 10*h**2 + 9*h - 6. What is m(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = m - 17. Let z(w) = 3*w**4 + 14*w**3 + 46*w**2 + 82*w + 48. Let f(i) = i**4 + i**3 - i**2 + i. Let d(g) = m*z(g) - 6*f(g). Factor d(x).\nAnswer: 3*(x + 2)**3*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let p(s) = 1400*s + 32. Calculate n(p(w)).\nAnswer: 1400*w + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 1 - 1)*(-2440 + 1098 + 1160) in the form z + x*o and give x.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8))**2 - (sqrt(242) + 1 + sqrt(242) + sqrt(242)).\nAnswer: -33*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 5*s**2 - 7*s + 6. Let l be x(6). Let n(g) = 2*g**2 + g + 1. Let p be n(-1). Suppose -p*c + 24 = -l*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13624*s**2 + 60905*s**2 + 19907*s**2.\nAnswer: 94436*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1476\/(-1230) - (-2)\/10)\/(135\/2 - -2).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87923*t**3 + 150363 wrt t.\nAnswer: 263769*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743521321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143738978 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 6. Calculate the least common multiple of (2\/6)\/((-1)\/r) and (1715 + -1713)\/(2\/3*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18962325 is divided by 391.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-234)\/455*-20.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*j**3 + 0*j + 16\/7*j**2 + 0 = 0. What is j?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + s**2 + 3*s - 1152. Let m(y) = y**2 - 2*y + 1. Let p(i) = -m(i) - w(i). List the prime factors of p(0).\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3944919, -3944916, -3944913, -3944910, -3944907?\nAnswer: -3944904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c + 31. Calculate m(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 180. Suppose -13*u - m = -82. Solve -2*r + 3*b + 22 = 0, 4*r = -2*b + u*b + 32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1203 - -4658. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*t + 11 - 253*t - 5 - 6.\nAnswer: -176*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*1 - (15 - 18). Suppose -115 = -13*g + m*g. List the prime factors of ((-4)\/(-6))\/(2\/g)*-12.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 2, a: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 1, t: 2, o: 4, e: 2}. What is prob of picking 4 o?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/11)*r**(6\/11))\/(r*r*r**(-11)*r*r**(16\/3)*r) assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/25 + 57\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h**2 + 4 + 6*h + 393*h**2 + 75*h**2 + 11*h - 14*h.\nAnswer: 508*h**2 + 3*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppw when four letters picked without replacement from wwwpwwwwwp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80062 - 46579*q + 23292*q + 23285*q.\nAnswer: -2*q - 80062","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*k - 216*k + 149 = -f, -5*k + 2*f = -70 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*(-3)\/(-9). Let q = 43.4 + -43. What is the second smallest value in -2, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152939261 and 77013?\nAnswer: 8557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 6)*(-2 + 1 + 2)*(-10*p + 15*p + 6*p).\nAnswer: -99*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173312 and 148224.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15071*i - 10790852. Give k(-716).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 9*l**2 + 9*l - 6. Let y be z(9). Let h(v) = 28*v**2 - 2*v. Let q be h(-1). What is the highest common divisor of q and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1459435545 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-399)\/(-70))*4\/(660\/(-27))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 40, 68, 114, 184, 284, 420, 598?\n\"Answer: b**3 + 9*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 165495*r - 25390962.\nAnswer: 3*(r - 153)*(r + 55318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 divided by -8?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30 - 40 + 119 + 19*m wrt m?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/5)\/30*8\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-40) - (-12)\/32)*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530625?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16374180, 16374203, 16374226, 16374249, 16374272?\n\"Answer: 23*s + 16374157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -137*u + 133*u + 30152, 2*u - 15104 = -f. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niie when four letters picked without replacement from iiiiieiiiiniii.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 34 - 158. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**4\/3 + d**3\/6 + 125*d. Find w such that b(w) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 1 = -2*w. Let j be (-5635)\/(-25) - 2\/5. Let r be (5\/(j\/(-132)))\/((-4)\/10). Is r smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79514 take away -15422041?\nAnswer: 15422040.20486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjtdyjtsssjodd. What is prob of sequence dyd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -40*x**2 + 5*x - 3. Let y(q) = -2*q**2 - 1. Let m(t) = -f(t) + 4*y(t). Let k = 7 + -3. Is m(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/97?\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwavapgfpppwwpv. What is prob of picking 1 a and 2 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1484 (b) 14\/29 (c) -2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + z + 2 = 0, -x + 2*z + 21 = 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -18*g**2. Let o(x) be the first derivative of 9*x**2\/2 - 205. Give l(o(c)).\nAnswer: -1458*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {h: 1, r: 1, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14250914 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*w**4 + 2333*w**3 - 3*w**2 - 1025010*w.\nAnswer: 108*w**2 + 13998*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iilllillllll. What is prob of sequence lill?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 4*c - 6. Let k be z(5). Suppose -2 = -y + 1. Let j = 10 - y. Calculate the greatest common factor of j and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*n - 3896 - 2335*n**3 + 3896 - 198*n.\nAnswer: -2335*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 2 - 2)*(-63351*h - 15564*h + 12722*h + 9774*h - 29390*h) as r + k*h + x*h**2 and give x.\nAnswer: 257427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5 + 1488*j**4\/5 + 1252*j**3\/5 - 255336*j**2\/5 - 20448*j = 0.\nAnswer: -71, -15, -2\/5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*b - 5*r + 3150025, -3*b = -2*r + 3150010. What is b rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/139595 - -17309882\/7119345. Let g = k + -30\/17. Let m = g + -8\/21. What is the closest to m in 0, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/10)\/((9\/(-3))\/(-24)). Let u(o) be the first derivative of 3*o + 3 + 0*o**2 - 1\/2*o**w + 0*o**3. What is the first derivative of u(z) wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-308)\/(-18))\/7 + -3)*(-120)\/(-1100)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 635423 + -2038513. Let i = j - -2813090. Round i to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 63*p + 10. Let s(o) = 30*o + 1. Let n(g) = r(g) - 2*s(g). Calculate n(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*n, 110*r - 102*r + n = -n - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 23 - 23 + 55*x to d*x + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -37, -92, -147?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8952ed (base 15) in base 14?\nAnswer: -c26509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1. Let l(w) = -10*w - 6*w + 2*w - 16*w - 29. Let u(d) = 2*k(d) + l(d). Does 16 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 3*q + 4*q)*(18 - 8*q - 18 + (3 + 0 - 1)*(1 - 2*q - 1)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 + 2)*(4 - 4 - u) - 25*u - 4*u + 67*u)*(5 - 2 - 2) to the form f*u + v and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -182*s + 572. What is w(8)?\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 1, 2\/31, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -38. Suppose f = 3*d + 4*u - 31, 3 + 1 = u. Suppose 0 = 2*n + 3*s + 2*s - 747, 3*n = d*s + 1158. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 7*k**2 - 17*k**2 + 3*k**2 + 3*k + 26*k**2 + 3*k.\nAnswer: 2*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let f = 297 + -247. Suppose 18*q - f - 382 = 0. What is the remainder when q is divided by c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11737*m**2 + 2*m*p**2 + p**2 - 16*p - 664 wrt m?\nAnswer: 23474*m + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 662, 1483, 2304?\nAnswer: 3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2004892110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19164\/(-8)*(-376)\/141.\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaaaacaca. Give prob of sequence aaca.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 90092 = -2*x, -89*x + 2*f - 90098 = -91*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:58 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130)*-3 + sqrt(130) + sqrt(130) - -2*sqrt(130)*2)\/(((2*sqrt(70) - sqrt(70))*-6)\/(sqrt(7) + (sqrt(14)\/(sqrt(2) + sqrt(2)*2) - sqrt(7)))).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, y: 1, t: 3, w: 4, n: 4}. Give prob of picking 2 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*279.338.\nAnswer: 139.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11.44, 1, -0.3, -10\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + -44 + (17 - -17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:13 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:37 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -9 + 2*v**3 - 1\/4*v**4 - v - 7\/2*v**2. What is j(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1867994448 take away -2?\nAnswer: -1867994446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35008833.777548 + -35008735. Let v = 57.777565 - p. Let g = -41 - v. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 46 = -0*y - 5*y, 0 = n + 2. Let i be y\/5 + (-4)\/(-10). Suppose i*z - 5 = -1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (sqrt(396) - (-4 + sqrt(396)*-1)) + -3 + 1 + sqrt(396) + -5 + 5*(sqrt(396) + -3).\nAnswer: -18 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 642 and 6206?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a6c77 (base 13) in base 7?\nAnswer: -30331143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29566.27915 + 29564. Let c = -4.721 + y. Let f = -7 - c. Round f to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 2\/11, -2\/5, -12\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4.5, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*i**2 - 198.\nAnswer: -154*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6496308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1463 = -5*k, -2*u = -4*u + 4*k + 764. Let b = u + -393. Sort b, 0.4, 1\/9, 2 in decreasing order.\nAnswer: 2, 0.4, 1\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.77 smaller than 30\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*f**2*w**2 - f - 15*w**2 wrt f?\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -498 divided by 4\nAnswer: -249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 20, 0 = -a + 4*u - 8. Let b be 346\/(-18) + a\/36. Let x = -39\/2 - b. Is x at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0)*12\/(-6). Suppose -3*q + 8*q + h*i - 100 = 0, 2*i - 38 = -2*q. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) 6 (d) 97 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 4*y + 6. Let m(l) = -20*l**2 + 19*l - 31. Let u(f) = 2*m(f) + 11*v(f). What are the prime factors of u(7)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2304 and 7232?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h = -43*h + 117. Let b be h\/(-6) - 35\/(-10). Solve -2*a + 9 = b*x - 2*x, 3*x - 9 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -71.5. Let a = l - 1.5. Do a and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 - -4. Let s = -0.3 + 0.6. Put -3, r, s in ascending order.\nAnswer: -3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 - -189. Let u = 148 - 150. What is the closest to 10 in -2\/3, i, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.01626 minutes in milliseconds?\nAnswer: 4680975.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by -6431.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 4*v, -5*y = -3*v - y + 32. Suppose 75 = v*o + 19. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 11*u + 1 - 10*u - 4 + 4 - u + 0*u - u - u + (-4*u + 6*u - 3*u)*(-3 + 7 - 2) in the form b + x*u and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 take away 1.57910185?\nAnswer: -3.17910185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 233353.53?\nAnswer: 233353.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*c*k*s**2 + 29*c*k + 672*c*s**2 + 21*c + 3*k*s**2 + 24*k - 1 wrt s.\nAnswer: -44*c*k*s + 1344*c*s + 6*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/60 + 11*i**5\/30 + 26*i**2. What is the third derivative of t(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + m**2 - 3*m**2)*(24*m**2 - 14*m**2 - 13*m**2)*(-14*m - 20*m + 8*m).\nAnswer: -468*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 387, 582, 777, 972, 1167?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d2e9 - 17?\nAnswer: 1d2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - 2*w**3 + 18*w**2 - 13*w - 31*w**2 + 14*w**2 as n*w**2 + p + r*w + q*w**3 + s*w**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = 3*v, 18*o - 23*o + 20 = -v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38213291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 198*u + 1551. Determine f(-57).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-8) - (-1 + -59). Suppose 32 = 3*b + c, 6*b = b + 4*c + h. Let d be -176*(-2 + (-3)\/(-2)). Calculate the greatest common divisor of b and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 16*s**2 - 12*s - 4. Let r be u(17). Suppose -2*v - 5*x + r - 3 = 0, 6 = -3*x. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 - -17 - 1. Suppose 2*v - 22 = z, -z - 13 = -5*v + k. Is 20 a factor of 4\/z + 1337\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/17442 and -59\/16658.\nAnswer: 145274418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 16*q**3 - 5 + 19*q**3 + 63 + 0.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.389 - -0.189. Is z at most -2\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 2 + (-2 + 2 - 1)*(2 + 0 - 1))*(-3*u + u + u)*(548*u**3 + 798*u**3 + 26*u**3).\nAnswer: -5488*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3\/2 - 707*v**2 + 10227*v\/2 - 4408 = 0.\nAnswer: 1, 19\/3, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 25918?\nAnswer: 25918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 873 - 853. Which is the fourth biggest value? (a) -0.1 (b) w (c) -1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -11*d. Suppose -p + 15 + 0 = d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 3.7. Which is the closest to -0.03? (a) 0.3 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 + 2. Suppose 2*s + 2*s = 0. Let o be t(s). Solve -1 = o*q + 2*q + f, 3*q + 18 = 5*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10)\/(3\/(-40)*4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 f, and 1 m when four letters picked without replacement from {q: 1, m: 10, s: 1, f: 2, h: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 54. Calculate s(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)\/((-3)\/(-9)). Suppose 4*v = -4*o + 8, 0 = n*o - 2*o - v - 10. Suppose 7*j - 4*j = 3*b - 6, o = 3*b - 4*j. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8096\/9*s**3 + 0*s + 0 + 178\/9*s**4 + 15488\/9*s**2 + 1\/9*s**5 = 0 for s.\nAnswer: -88, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*i + 14*i + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301635*u + 2835 = -301740*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 49 - 49 - 5*o**2. Let p(f) = -f**2. Determine p(q(z)).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2741919 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39240886 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:51 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/(d\/d**5*d))\/d)\/d*(d*d\/d**4)\/d)\/(d**(-2)*d*d\/d**(1\/6))*(d**(1\/4)*d*d\/(d*(d*d**(2\/13))\/d*d))**(-5\/7) assuming d is positive.\nAnswer: d**(1199\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 2\/3*k**3 - 3*k**2 - 2\/5*k**5 + 3\/2*k**4 + 1 + 0*k. Factor h(q).\nAnswer: -2*q*(q - 3)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877531803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3*h + 4. Let j be x(3). Let b = j - 13. What is the tens digit of (-94)\/(-6) + 6\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/21 and -64\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2940\/10584 + (-2)\/12)*5\/15\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 665698 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -79*n. Let w(x) = -x - 2. Calculate u(w(c)).\nAnswer: 79*c + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 + 14*p**2 + 9*p**2 in the form r*p + t*p**2 + m and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (0 + sqrt(80)))*3 - ((sqrt(80) - ((sqrt(80) + -4 - sqrt(80))*3 - sqrt(80)))**2 + sqrt(80)))*-3.\nAnswer: 588*sqrt(5) + 1392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/15)\/(1026\/(-7695))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.02 + -5. Let c = t + 1.98. Let f be (6\/(-15))\/((-4)\/5). What is the third biggest value in f, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 12 + -3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 0*o + 5*o + (-3 + 6*o + 3)*(0 + 4 - 2) - 3 + 3 + 4*o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 929414988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-18 - (-13 - -6)) - 21) + 1 + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -125100 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1592, 2.31, -12, -1\/10 in decreasing order.\nAnswer: 1592, 2.31, -1\/10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (3360\/(-50))\/14. Sort v, -1, -1.46, -1\/4, 5 in ascending order.\nAnswer: -1.46, -1, -1\/4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.27951 times 272?\nAnswer: -6332.02672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 63*f + 1099. Determine o(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/24 and 95\/1326.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.99 + -0.01. Which is the second smallest value? (a) y (b) 1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1790 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -65. Let w be 45 - (2\/2 + -1). Suppose 6*u - u = -3*o + w, -a = -2*o + u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n + 6. Let u(j) = -99*j - 55. Let p(o) = 55*c(o) + 6*u(o). Let a(i) = -i**2. Give a(p(s)).\nAnswer: -121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-204)\/(-340))\/(6\/(-340)))\/1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81181172?\nAnswer: 2, 89, 163, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43355175169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 + -2 + 17 + (0 - 43)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u**2 - 352*u + 1214. Calculate r(17).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 26820.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a98375 - -1?\nAnswer: a98376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*r - 43, -16*y + 20*y - 3*r - 128 = 0. Solve 0 = 22*h - 53 - y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2 + 9*s - 11. Let z be q(8). Let f = z + 712. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13572632*b*k + 2*b + 2315189 wrt k?\nAnswer: 13572632*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 19 - -23 - (-2 + -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 402?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -4, -1, -10\/31 in increasing order.\nAnswer: -4, -1, -10\/31, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -5*h**4\/12 - h**3\/6 - 16*h**2. Give o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlcl when four letters picked without replacement from wcllkc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, i: 11}. Give prob of sequence iii.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3723*h**3 - 2*h**2 + 1240*h wrt h?\nAnswer: 22338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295891140 and 237084.\nAnswer: 10308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 27. Suppose 9 = -2*o - c. What is the common denominator of 19 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -17*r**2 - 14. Let c(p) = -8*p + 9*p + 21 + 25*p**2 - p. Let a(z) = 5*c(z) + 7*w(z). What is the first derivative of a(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 3. Let o(y) = 2*y - 274. Determine -h(l) + o(l).\nAnswer: 3*l - 277","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41328577 to the nearest integer?\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/15*219\/2920\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a6bc + 569b?\nAnswer: -5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 362\/46 + (-15)\/(4 + 1). Which is greater: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284.7 - 273. Let x = -11.62 + f. Which is the closest to x? (a) 0.2 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/2)\/((-196)\/312865) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 3, 0.04, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-6)\/(-96)*16\/28*3?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1796\/36 + (-1)\/(-9). Suppose -3*u - 3*q - p = 2*q, 2*u = 4*q - 26. Put u, -3, 3 in descending order.\nAnswer: 3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 1. Let v(n) = -8*n - 106. Let l be v(-13). Determine x(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885745.88 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*m = 18. Suppose 0 = -c - 5*y + 11, -m*c = -y - 1. Let b = 1\/2 + c. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*r - r - 84 = 0, 0 = 4*q + 4*r - 336. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -38, -2, 5 in descending order.\nAnswer: 17, 5, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 304957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-342495)\/(-210) + 5\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvhq when four letters picked without replacement from {h: 11, q: 2, v: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155846017?\nAnswer: 277, 562621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r**2 - 12*r + 264. Let z(i) = i**2 + i - 22. Let v(l) = -w(l) - 12*z(l). Let c(h) = -131*h + 1 - 1. Determine v(c(y)).\nAnswer: -34322*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16380693 is divided by 147?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1510 (base 13) to base 15\nAnswer: d8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 - 2*x**2 + 2*x**2 - 338*x**3 + 11*x**2 + 2*x**2.\nAnswer: -338*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3268947 from -197474.\nAnswer: -197473.6731053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-80 + 84 - (1 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 2*s - 16. Suppose s*u - 3*r + 7*r + 56 = 0, 0 = u - 5*r + 2. Let j = u + 20. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1392)\/((-27144)\/(-117))*3\/(-102)*-1\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -13 + 7 - (-6 + 1) - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*x - 23*w + 19*w + 50, 0 = -2*x - 5*w + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3\/2, 2\/19 in increasing order.\nAnswer: -5, -1, 2\/19, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/11 - -1697\/187. Is 8 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 367\/257, -0.5, 1, 2\/5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**2)**(6\/31)*f**(-3)*f**0)\/((f*f\/(f**(4\/5)*f))\/f*f*f*f**(-2)*f*f*f)**29 assuming f is positive.\nAnswer: f**(-10384\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + x + x**2)*(-13*x - x - x)*(-779 + 480 - 983) in the form f*x**3 + u*x + t + z*x**2 and give f.\nAnswer: 19230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -17*s + 255. Let c be 2\/13 + 965\/65. Let d be g(c). Solve 5*v = -d*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 0)*1\/(-1). Suppose -18 = 4*f - 0*f - z*b, -3*f - 11 = -5*b. Let k(v) = -v - 5. Let p be k(f). Put 6\/7, p, -0.4 in descending order.\nAnswer: p, 6\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 17*u = -3*m - 11, -5*m = 3*u + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3012214*f - 3012209*f + 17, 3*f + 5*z = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2604*r**2 + 135*r - 34. Is q(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*t + 4166, -5*t + n + 4163 = -0*n. Let r be 4\/26 - 336\/t. Which is the closest to 0? (a) r (b) -2 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - 15\/12. Let w be 1\/(q\/3) + 2. Let o(x) = -8*x**2 - x. What is o(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*x - 28141*x**3 - 55109*x**3 - 18612*x**3 - 8236*x**3 + 45*x)*(4*x - 2*x - 3*x) to j + f*x**3 + w*x + v*x**2 + b*x**4 and give b.\nAnswer: 110098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/22 and 3\/46300.\nAnswer: 509300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -153125*n**7\/18 - 4269125*n**6\/72 + 8155*n**5\/4 - 2099*n**4\/72 + 2*n**3\/9 + 2*n**2 - n + 329. Suppose z(y) = 0. What is y?\nAnswer: -4, 1\/175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 757 + -436. Suppose 0 = g - 4*r - f + 64, 0 = 4*g - r - 953. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 1, j: 2, m: 1, p: 2, d: 1}. Give prob of picking 1 j, 1 m, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079863 rounded to six dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 431*d - 436*d = 37, -5*s = -2*d - 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 830 (base 9) to base 14\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -6\/5 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34c - -4?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3608 - -3611. Solve -4*l + z = -21, 2*l + 3*z = -t*l + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1632\/5*s**2 - 8064\/5*s - 104\/5*s**3 + 0 + 2\/5*s**4 = 0.\nAnswer: 0, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -20*n**3 - 140*n**2 + 420*n - 140. Let u(y) = -y**2 + 3*y - 1. Give -5*r(x) + 700*u(x).\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -11. Differentiate -3*o**4 - 3 - a + o**4 - o**4 wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 319 = 4*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 1, s: 8, t: 4, f: 2, c: 2}. Give prob of sequence re.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9579*u**4 - 12219.\nAnswer: 38316*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 72?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4537043 rounded to 2 decimal places?\nAnswer: 26.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-4)\/8*4). Let r(c) = c**3 - 4*c**2 + 2*c + 4. Let t be r(w). Solve -s + 1 - 3 = t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(4*sqrt(6)\/sqrt(3))*3)\/((sqrt(60)\/(sqrt(12)\/sqrt(2)) + sqrt(10))\/(1*1*sqrt(2))))**2.\nAnswer: 99\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 7 - 4 + 1. Let y(h) = -1. Suppose 16*q - 1 = 15*q. Let b(j) = q*c(j) - 10*y(j). Let n(p) = 2*p**2. Calculate n(b(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 918\/(-10)*(-22 - -17). Calculate the greatest common factor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14845*1 + (-105)\/(-15) + -9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5 - 888*c**4 + 4524*c**3 - 3632*c**2 = 0. Calculate c.\nAnswer: -227, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*186\/18*1. Does 18 divide 8\/(-14) - w*59\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*d - 2*d. Let q(i) = -i**2 + 12*i - 31. Let y be q(d). Let g be 3 + (-9)\/4 + 68\/16. What is the highest common divisor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 3*h - 3. Let s be (-7)\/21 + (-19)\/(-3). Let b be (-6)\/(s\/(-3))*-1. Let m(l) = 0*l**2 + 3*l**2 + 2*l + 2 - 4*l**2. Determine b*m(y) - 2*i(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-9)*(-72)\/28. Suppose 13*f = w*f + 3. What is the third derivative of -14*v**4 + f*v**2 + 8*v**4 + 6*v**4 + 4*v**6 wrt v?\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/(a\/a**3))))\/(a**(-1\/37)*a))**(-37) assuming a is positive.\nAnswer: a**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g - 5806 = 4319 - 129. Calculate the greatest common divisor of 1862 and g.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 4128?\nAnswer: 28896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, f: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.195219*-0.7.\nAnswer: 13.4366533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -33*q**2 + 179997891*q - 98180658 = 0.\nAnswer: 6\/11, 5454481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3 - d**2 + 1 - 4. Let t(l) be the third derivative of l**6\/360 + l**3\/6 - 2*l**2. Let n(p) be the first derivative of t(p). Calculate s(n(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 12:01 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34192\/737 + -510\/11. What is the nearest to a in 2\/15, -0.1, 2, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6*t, -24 = 3*u + 2*t. Let h(w) = -w**2 - 8*w + 6. Let l be h(u). What is the remainder when 43 is divided by l\/(-9)*33\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - 3\/5. Let l be (3 + n + -2)\/2. Let r(f) = 1 + l + 2*f - 3. Let h(z) = 5*z - 6. Calculate -4*h(u) + 11*r(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -110, 0.3, -4, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-46)\/q))**(-24\/11)\/((q*q**(-7\/3))\/q*q**(-19)))**(2\/111) assuming q is positive.\nAnswer: q**(-5504\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 545033342 divided by -1162118?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnzzznzzzzznnzzzz. What is prob of picking 4 z?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*w + 1 = -3, 0 = -3*u - w - 1. Let k(f) = 1 - 1 - f + 1 - f**2 + 1. What are the prime factors of k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - r - 84, -r = -2*r - 4. Let l(o) = -x*o**2 + 38*o**2 - 4*o - 3 - o**3 + 3*o. What is the units digit of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -1. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(-4)\/(-28)*-4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1410, 2 in decreasing order.\nAnswer: 1410, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f - 4. Suppose 4 = x + 1. Let c be h(x). Calculate the greatest common divisor of c and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22770 and 4554?\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f, 3 + 7 = 5*l - 5*f. Let h = l - -4. Suppose 0 = 4*v - h*v + 22. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 28 (b) -1 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -20\/9, 1\/3, 0.7, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 32*q = 108. Let o(l) = -33*l**2 - 4 + 7*l + 0 + 14 + 34*l**2. Give o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 + 163. Is -1*-6*(-3)\/l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15280, 30542, 45846, 61210, 76652?\nAnswer: 92190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.455 - 0.065. Let q = i - 12.39. Which is the closest to 2\/7? (a) -0.4 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 20, 1 = -2*m - 3*l - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10272 + 710?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 21. Let i = b - -14. Let s(d) = d - 6. Let w(k) = k - 1. Let j(p) = s(p) - 5*w(p). Give j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 1122, -5 in decreasing order.\nAnswer: 1122, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8932343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8496 - -8498. What is the nearest to k in -0.1, 0.05, -2.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 (base 16) in base 12?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.33807159 rounded to four decimal places?\nAnswer: 27.3381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1736 + -715. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26288708.\nAnswer: 2, 41, 157, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/4, -2.15 in increasing order.\nAnswer: -2.15, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3001 + 285092\/95. Is p greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310531722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 1630625*t**4 - 6522550*t**3 + 9783850*t**2 - 6522575*t + 1630645.\nAnswer: 5*(t - 1)**4*(t + 326129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -38?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11932 take away -0.3?\nAnswer: 11932.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 20*y + 47. Let v(r) = -2*r**3 + r**2 + 2*r + 3. Let g be v(-2). What are the prime factors of o(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50 + 46?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -557 + 396. Let f = -154 - n. Solve 4*v - 23 = -f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (65\/(-26))\/((-1)\/(-2)). Let l(u) be the second derivative of -u**3\/6 - u**2\/2 + u. Let s be l(y). Which is the biggest value? (a) -0.3 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 177*j**2 + 42*j + 126. What is the units digit of r(88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4882.7 - -29725.7. Let g = n + -24821.978. Let s = g + -21. Round s to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 280 = o. Suppose -s - s + 38 = 4*b, -4*s + 16 = 2*b. Calculate the greatest common divisor of b and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25509.21526 + 25509. Round g to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*b - 12, -4*b + 79 - 23 = 4*n. Let i be (-196)\/n + 8\/(-36). Let v = -13 - i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 121. What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30587 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 80*f**2 + 7*f + 10. Is n(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 112. Let c = -26 + j. What is v in 0 - 2\/3*v**3 - 2\/3*v - 4\/3*v**c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 14. Let u be (c - 2)*(-4)\/(-12). Let s(i) be the second derivative of i**3\/3 + i. Let d(p) = -p. What is u*d(l) - s(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/(-72*12\/(-336)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36213 at least 36215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.0314, 5, -0.6 in ascending order.\nAnswer: -2, -0.6, 0.0314, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:51 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -16454341?\nAnswer: -16454342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 57*s + 254 = 52*s, 4*s - 424 = -4*v. Calculate the smallest common multiple of v and 4942.\nAnswer: 39536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 4. Let v be (0 - 0)\/((-6)\/q). Suppose v = b - 3*f - 54, -51 = -2*b + 5*f + 61. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 20*n - 240. Let t be 3\/(3\/2) - -28. Calculate the greatest common divisor of t and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let z(l) = 3*l**2 + 3 - 3. Let v(g) be the third derivative of -7*g**5\/20 - 3*g**2. Let q(x) = -2*v(x) - 15*z(x). What is t(q(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/582 + 142\/2037. Let n = 2 - -1. What is the closest to 1 in 0, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 12*p - 17*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4907432 is divided by 46?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2144*p**2. Let k(g) = 3*g**2. Calculate q(k(c)).\nAnswer: -19296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 1\/3*d**3 - 3*d + 5\/3*d**2 + 7 + 1\/72*d**4. Find n, given that f(n) = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (507\/455)\/13*7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8751 + 9092. What is the lowest common multiple of 2 and i?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/7 (c) -7.76 (d) 0 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (sqrt(432) + -1)*5))**2*-1*-2.\nAnswer: -43200*sqrt(3) + 779400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 6*k**2 + 4*k + 1. Suppose 4*d + 5*w = -40, -2*w = -0*d - 4*d - 12. What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -226, -263, -282, -277, -242, -171, -58?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4340 = 62*r - 69*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 + 4.78. Suppose -h + 1 = 5. Let m be h\/24*(-9)\/(-3). What is the closest to m in q, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 2*k + 1. Let d = -23 + 2. Let b = 9 - d. Let g = b + -33. Calculate m(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/624 and 109\/900?\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -900 - 895 - 1678*o**2 - 898 + 2693 as z + d*o**2 + p*o and give d.\nAnswer: -1678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 3*l**4 - 6*l**4)*(l - 2*l + 2*l) + 767*l**5 - 615*l**5 + 1776*l**5.\nAnswer: 1926*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-6))\/(15\/(-90)). Solve w + u - 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/7)*t**(-4\/3)*t\/(t\/t**(-2))*t*(t\/t**(-1\/7))\/t*t*t*t*((t*t\/(t\/(t**(-6\/5)\/t)))\/((t**(-1)\/t)\/t))\/(t**(1\/6)*t**(2\/9)) assuming t is positive.\nAnswer: t**(1579\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -35*16*(-22)\/(-1760).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 112.7. What is the second smallest value in 2\/9, 17\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -958\/9 + 35455\/333. Let s = -3 + 2.9. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:59 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 61?\nAnswer: -16\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:54 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 + 4*k**2 + 17*k**2 + (-2 + 2 + 2*k)*(47 - 2*k - 47) + (0*k + 0*k - k)*(2 + 2*k - 2) - 19*k + 19*k - 12*k**2 to d*k**2 + r*k + y and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 divided by 2491?\nAnswer: -1250\/2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35009011*y**4 - 13*y**3 - 229734830 wrt y.\nAnswer: -140036044*y**3 - 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299\/2 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 678 + -669. What is the third smallest value in -0.5, b, -10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from {o: 3, u: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 146*h**2 - 5133*h + 49. What is m(-59)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5549516 is divided by 78?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h + 1. Let c(k) be the first derivative of -k**2\/2 - 25. What is -6*c(s) + w(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -15. Suppose a = -4*q - t + 16, -2*q + 2*t + 8 = t. What is the third derivative of -q*i**2 + 2*i**2 - i**5 - 5*i**5 - 3*i**2 wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuu when three letters picked without replacement from {z: 3, u: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -480, -613, -746?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1575 and 3500.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -2. Let w be ((-9)\/v - 4)\/(-1). Sort -3, -4, w.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (10 - 56\/5)\/((-7)\/(-20)). What is the nearest to 0.96 in -0.5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*k**2*q + 29130*k**2 + 4127*k*q - 179*k + q - 3 with respect to q.\nAnswer: -43*k**2 + 4127*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 136584160.\nAnswer: 136584160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**6\/180 - m**5\/15 - 7*m**4\/72 - 74*m. What is l in a(l) = 0?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 11*r**2 - 19*r - 18. Let g be b(-12). Let p = -57 + g. Suppose -y = 3*f - p, 3*y = -0*y. Solve -2*u - 1 = k, 2*u + f*k - 1 - 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-84)*(-6)\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 8 - 5*c + 0*c.\nAnswer: -7*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1487*c**4 + 237*c**2 - 2 wrt c.\nAnswer: -35688*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, a: 5}. What is prob of picking 2 w?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74254\/(-141658) + (-2)\/94?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -39 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/5 - 6*u**4\/5 - 14*u**3\/5 + 54*u**2\/5 - 36*u\/5 = 0.\nAnswer: -3, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 + 3*s**3)*(1386 - 2381 - 2962).\nAnswer: -11871*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:37 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 5*r + 2, 3*x - 3*r = 12. Let j be 2\/(0 + 2) + -1. Suppose x*u + j*d + 11 = -4*d, 3*d + 27 = 4*u. Solve 0*v + 3*v = u*w + 6, 3*v = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2064121 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127323?\nAnswer: 1127323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 2 + 3*i**2 - 5*i**2 + (-8*i + 5 - 5)*(2 + i - 2).\nAnswer: -7*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3305*r**2*x - 179*r*x + r - 1 wrt r?\nAnswer: -6610*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.155, 2, 5.3?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1448260 (base 9) to base 4.\nAnswer: 3003102321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 15*r - 1. Let y(o) = 34*o - 3. Let i(f) = 9*d(f) - 4*y(f). Suppose -n = -b + 3*b - 40, 0 = b + 4*n - 6. Let g be 150\/b - 2\/(-11). What is i(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - 2*s - 7. Let o be z(-5). Let q = o + -6. Is (-25 - q)*(-10)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -443*s**3 - 6*s**2 + 28*s + 181. Let c be f(21). Round c to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 141*s + 837. Let x be w(76). Let b = 2\/93 + 61\/1488. Is b not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1786*z + 2720*z + 2350*z - 287*z - 1376*z as k + j*z and give j.\nAnswer: 5193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a - 9. Suppose 1 = 5*g + 46. Let c be f(g). Let p = c - -335. List the prime factors of p.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-12))\/(-1)*-2)\/((-7)\/((-280)\/1590)).\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/7 - 2*k**4\/7 + 8*k**3\/7 + 8*k**2\/7 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0260098011 and -0.5.\nAnswer: -0.01300490055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 22 = -60. Let r = i + 0. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -97.74 from 334156.\nAnswer: 334253.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*(-258)\/645.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 2.2. Let a = j + 7. Let w = 0.7 + -0.2. What is the second smallest value in a, 2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-28)\/((c\/c**19)\/c) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 7*k**2 - 6*k + 2. Let r be o(-6). Suppose c = -r*c + 15. Suppose 6 = q - 15. Solve -1 = c*i - q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 57664*d**3 - 66623040*d**2 + 26134327296*d - 3433337031168 = 0. What is d?\nAnswer: 396, 27644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260 + 31. What are the prime factors of i?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 28*d + 18 - 11 - 84*d - 7. Let q(g) = 13*g**2. What is n(q(f))?\nAnswer: -728*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 less than 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77960446 < 77960447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*t = -24, -g = -3*g + 5*t - 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 - 4*h + 2. Let j(g) = -8*g**2 + 4*g - 1. What is 6*j(u) + 5*l(u)?\nAnswer: -3*u**2 + 4*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -214 (b) 1.3 (c) 0.5 (d) -0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 4136509?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 644 - 166. Find the third derivative of -1093*t**4 + n*t**2 - 15*t**2 + 1072*t**4 wrt t.\nAnswer: -504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3081 or 3082?\nAnswer: 3082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1\/1551?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244 + 210. Let s be 2*(45\/(-2) - 1). Let m = z - s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308775 = 5*w - 5*x, 3*w - 8*x + 11*x - 185241 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10 + 17 - 3210*r**2 + 4*r + 3209*r**2. Determine c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 5*(2 + sqrt(11))).\nAnswer: -25*sqrt(11) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85009, 84628, 84003, 83140, 82045, 80724?\n\"Answer: z**3 - 128*z**2 - 4*z + 85140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 14. Let z = 13 - v. Is z\/(-1)*(35 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(6\/(-135)) - -2. Let v = -33 + d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465537757 to the power of 1\/2, to the nearest integer?\nAnswer: 21576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 368400157 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, e: 14}. What is prob of sequence epee?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1 + 22 + -10. Suppose x*w + 30 = 23*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31913923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngv when three letters picked without replacement from {g: 6, n: 4, v: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iccviwbiigivvwc. Give prob of picking 1 g and 1 w.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*v + 2*v. Let a = -877 - -1347. Let o = a + -474. What is the fourth biggest value in o, 0.04, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.68 and -5.\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.362 - -0.094. Let l = -9276085 - -9276084.73200406. Let q = j - l. What is q rounded to seven decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1817.2 and -29.\nAnswer: 52698.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78390\/14070)\/((-6)\/28).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 310260*o - 179844.\nAnswer: 310260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -146*z**3 + 6*z**2 + 7*z - 74. Let u(t) = 49*t**3 - 2*t**2 - 2*t + 24. Let q(b) = 2*f(b) + 7*u(b). Find the third derivative of q(k) wrt k.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -299\/3 - -617\/6. Let b(n) = 11*n**2 - n + 1. Find the common denominator of v and b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142002 (base 6) in base 12?\nAnswer: -7902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 98*f**2 - 93*f + 426. Calculate w(-97).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67600 by -13520.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6 - 3*o**5\/5 - 3*o**4\/4 - 506*o**3\/3 - 2489. Find the third derivative of y(t) wrt t.\nAnswer: -360*t**2 - 72*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2444*s**4 - 2*s**2 + 2*s + 468 wrt s?\nAnswer: 29328*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r. Let z(l) = -79*l**2 + 20*l + 12. Let n(b) = 17143*b**2 - 4345*b - 2607. Let s(g) = -4*n(g) - 869*z(g). Determine q(s(i)).\nAnswer: -237*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.488 * -18.\nAnswer: -44.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v - 11*v + 28*v - 3. What is l(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 2. Let m(t) = -9*t**2 - 3*t - 5. Let x(k) = -f(k) + m(k). Calculate x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -r - 8. Let s be 4\/34 + 6144\/(-204). What is the remainder when r is divided by (-32)\/84*s - 6\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kmkeeekkkekuemkeckmm.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19558 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -20 - 16. Let i(q) = -15*q + p - q**2 - 15 + 0*q**2 + 5. Is i(-12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-34)\/8. Let p = 4 + -2. Suppose -2*s + 4*s = -2*x + 22, 0 = o*s + p*x - 42. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j**3 + 7 + 1\/24*j**4 - 1\/15*j**5 + 0*j**2 + 1\/36*j**6 + 0*j. Factor b(n).\nAnswer: n**3*(n - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from llvnnlnlnlnljvpl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -26. Let i(k) = k**3 - 6*k**2 + 7. Let s be i(u). What is the third derivative of -12*n**2 + s*n**4 - 18*n**2 + 14*n**2 + 12*n**4 wrt n?\nAnswer: 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -5 (c) -0.01 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 48\/36*3\/(-2). Suppose -b + 3*t + 687 = f*b, -2*b = t - 467. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(600) + 0 + sqrt(847) - (-4 + sqrt(112) + sqrt(56)\/(sqrt(8)*-5)).\nAnswer: 4 + 73*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3512 is divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 2, x: 1, i: 2, g: 1}. What is prob of picking 1 i and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818 by -101.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1150 and 23138736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 525.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h - 5 - h + 9*h + 2. Calculate the lowest common multiple of (5 + -2 - -2)*1 and m(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*b**2*j**3 - b**2 + 3*b*j**4 + 6*b*j - 2*j wrt j?\nAnswer: -108*b**2*j + 36*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (32 + (-44 - -25))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40727, -40723, -40717, -40709, -40699?\nAnswer: -40687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59214, 118431, 177648?\nAnswer: 236865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -21*p**4 - 174*p**3 + 372*p**2 + 120*p = 0.\nAnswer: -10, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2011*d**3\/3 - 157*d**2\/2 - 87*d - 8. What is the first derivative of r(q) wrt q?\nAnswer: -4022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88194*a**4 + 1005*a**3 + 2*a**2 - 436602043.\nAnswer: 352776*a**3 + 3015*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230 - 964 + 218)*(-t + 5*t + t).\nAnswer: -2580*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*-2 - ((-42966)\/63)\/(-62)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from metteeweeeemjeeeee. Give prob of sequence twj.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by 9?\nAnswer: -320\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/y**11)))\/y)\/(y*y\/y**(-2\/25)))\/(y**(-4))**(4\/29) assuming y is positive.\nAnswer: y**(-9083\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*r*z**3 - a*z**2 + 2*a + 54020*r*z**3 + 4*r*z**2 - 2*r*z - 225*r - 2*z**2 wrt z?\nAnswer: -24*a*r + 324120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f, 0*r = -r - 2*f + 4. Let o = -3 + r. Suppose o*i - b + 2 = 39, 0 = 3*b + 12. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 31 - 8*r + 2*r + 11*r. Let q be c(8). Suppose -b + y = -q, -2*b - y = -4*y - 101. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 256 + -201. Suppose 66 = 3*j - 69. Suppose -5*u + 5*n = -j, -6 - 2 = 2*n. Calculate the highest common factor of b and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555 * 0.3\nAnswer: 166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043032423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - w)*(-1 - 4 + 6)*(24*w**2 + 266*w - 266*w).\nAnswer: 96*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 22 = x, 2*n + 19 = -231*x + 232*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 40*z - 16516. Give h(110).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, 196, 707, 1650, 3169, 5408?\n\"Answer: 24*t**3 + 55*t - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u + 8. Determine h(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 7*h + 7*h + 2*h - 3 + 3 + (-5*h + 2*h + h)*(5 - 4 - 2).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttggtttrt. What is prob of sequence tgrg?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8212556 rounded to 2 dps?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8959860 divided by 21.\nAnswer: -426660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 15*m**2 - 20*m. Let f(k) = 3*k**3 + 8*k**2 - 25*k - 80. Let z be f(-3). Calculate q(z).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -84\/5, -2\/5, -83, -5?\nAnswer: -84\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 r when four letters picked without replacement from bikyzyizibrrrykiyz.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1029420 and 216030.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from hvhvhiihh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 23*g = 64. Calculate the greatest common divisor of 352 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 34*w = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9590\/3 + -3192. Sort x, 5, 0.6 in descending order.\nAnswer: 5, x, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - y + 0*y + 3 in the form k + q*y and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329233033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -34, -78, -142, -232, -354?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + 16 + -22 + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**30\/r**(8\/7) assuming r is positive.\nAnswer: r**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 1. Let o be c(4). Let k be (-5)\/(o\/6) - -12. Let p = 20 - k. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 + 3*s + 3. Determine h(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-60))\/((-6)\/36)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*l = 28 - 9, -9 = -3*l. Solve 3 = 2*x - o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 276 = 11*y - 10*y, 4*k = -3*y + 802. What is the least common multiple of y and 12?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8da4 - 2?\nAnswer: -8da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6375)\/374)\/25 - 2\/(-11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/5*(-28 - (-1365)\/49) + (-696)\/(-10)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542069 rounded to the nearest one thousand?\nAnswer: -1542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -195232 - 2*o**2 + 195232. Let s(b) be the first derivative of 0 - b**2 - 3 - 1. Determine s(q(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 5, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - 4023\/(-99))*55\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65466769?\nAnswer: 43, 1522483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 1\/120*d**6 + 14*d**2 + 0 + 23\/60*d**5 + 5\/6*d**4 - 1\/6*d**3 + 0*d. Is b(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4960 = -g, y - 286*g = -288*g + 2468. What is the remainder when y is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -736, -1509, -2282, -3055, -3828?\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 1 - 1 + 2*r + 2*r - 3*r + (-1 + r + 1)*(1 - 2 - 1) - 4*r + 3*r + 0*r - 3*r + 0*r + 2*r + (0*r + 0*r - 2*r)*(2 - 1 + 0) + 5406 - 5406 - 70*r.\nAnswer: -74*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893054\/11 + -1 - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/3 - 2)*-15. Suppose 2*x + 4 = 3*h - 14, 0 = -2*h + 3*x + 7. Suppose 4*d - h = -0*d. Solve z + 21 = d*z + r*b, 3*z = 2*b - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -117.231, 6, -4, -0.34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 11. Let x be l(-13). Calculate the highest common divisor of 42 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -4 + sqrt(17) + 0)**2*4.\nAnswer: -64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633986754.\nAnswer: 2, 67, 12193931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 > 447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 188778 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -216443, -432874, -649305, -865736, -1082167, -1298598?\n\"Answer: -216431*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 31. Calculate the smallest common multiple of o and 4\/14 + (-26)\/(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29460, -57888, -86316, -114744, -143172?\n\"Answer: -28428*d - 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 2768696*m.\nAnswer: -4*m*(m - 692174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -28. Let b be (-46)\/j + 6\/(-21). Solve -5*f = -b*m + 20, 1 = -2*f - 4*m - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 215624 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2. Let j be c(-3). Let x be (10\/4)\/(j\/(-2)). Suppose -5*v + 5 = -x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l - 1. Let u(k) = -6*k**2 - 7*k + 10. Let z(i) = 4*d(i) + u(i). Determine z(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 19. Let d be l(-6). Suppose -4*k + 3*v + 5 = -6, 0 = v + 1. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4976 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11002004?\nAnswer: 2, 13, 23, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -14820, 12, -4 in increasing order.\nAnswer: -14820, -152, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, -0.21, 0.7, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41447168 divided by -1414.\nAnswer: -29312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k\/(k\/((k\/(k\/k**0))\/k))*(k**1)**(-18\/5))**(-7\/4) assuming k is positive.\nAnswer: k**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -22, 121 in decreasing order.\nAnswer: 121, 15, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59698?\nAnswer: 2, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*d - 9 + 3, 3*s + 3*d - 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -67. Let f be (d\/24)\/(28\/15 - 2). Calculate the greatest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = -9*k - w, -11*k - 3*w + 214 - 68 = -4*w - 39 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132.7 + 142. Let l = n - -2.7. Which is bigger: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(-3)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-106)\/(-6) - 11). Solve 5*b + s = 2*t, -2*t + b = -t - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 1174803.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -378.62 - -395. Let i = y - 16. Let n = i - -0.02. Which is the smallest value? (a) -1 (b) -0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - a + 223 = 3*d, 3*a + 59 = d. Let q = -20 + d. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + -3 + (0 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.021 - 0.021. Let c = 6 - 4. Let r be c\/8 + (-57)\/132. Sort r, 1\/7, y in descending order.\nAnswer: y, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2576441 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/120 - 7*l**4\/48 - 6*l**2 - 2. Solve m(x) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*u = -987, 2*h = -u - u + 662. Let x = h + -145. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 7835053, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 402*l - 1560.\nAnswer: -3*(l + 4)*(l + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - 41*d**2 + 155*d - 1484. Give n(13).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -24922.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 31. Let t be (2\/p)\/(12\/96). What is the derivative of -t*b**2 + 14*b**2 - 2 + 3*b**2 + 4 wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -20, -57, -120, -215, -348?\n\"Answer: -k**3 - 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18675 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b + 36. Suppose 0 = 2*j + 5*t - 25, 5*t - 5 = -2*j + 4*t. Is d(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 113309149.\nAnswer: 11330914.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-88)*5*12\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (sqrt(931) + (sqrt(931) + sqrt(931) + -1)*2 + sqrt(931)).\nAnswer: -35*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 10*y - 3. Let u be ((-50)\/(-20))\/(1\/(-2)). Suppose -4*c = -3*j + 36, 3*j - 4*c = 2*j + 12. What is the remainder when z(u) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 179*o + 24. Suppose -5*p + 6*g - 4*g + 43 = 0, -3*p = -2*g - 29. Is s(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 2. Let j be -3 - ((-16)\/2 - 1). Let f(v) = -v**2 - 1. Let m(l) = j*f(l) - 3*i(l). Let n(a) = -a. Calculate m(n(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*208\/(-260)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 45 + 45 + 5*f**2. Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 32 = -2*n. Let p(q) = -q**2 - 23*q - 53. Calculate the remainder when p(-18) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -1, -0.4, 5360, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*q + 10 = 0, 0*x - 4*q = -2*x. Let v(f) = -f**4 + f + 1. Let c(g) = -4*g**4 + 2*g**3 + 2*g + 2. Let d(r) = x*v(r) - c(r). Factor d(k).\nAnswer: 2*k**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1676 - 1675.9. Suppose -5*p + 1 - 16 = 0. Let g be 20\/6 - (-1)\/p. Which is the nearest to g? (a) x (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*c**2 + 0*c - 1267*c**2 + 223*c**2 + 526*c**2 - 3*c.\nAnswer: 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1226 + 7483 = 369*k - 5790 + 239 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -47. Solve x = -3*l + 5*l + b, 4*l + 19 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/44 + (-5)\/55*-149. Solve 0 = x - 2*g + 7, 6*x = 4*x - 5*g + n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645355993?\nAnswer: 127, 691, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 - 1641*k**2\/2 + 8167*k - 19572 = 0 for k.\nAnswer: 4, 6, 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-1834.61.\nAnswer: 1100.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -33*m - 85 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538023 is divided by 549.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-10)\/(-3))\/(-2). Let n = 13 + c. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 15) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/12 + u**3\/3 + 3*u**2\/2 + 6*u. Let h be w(3). Let q = -0.8 + 0.4. Which is the nearest to h? (a) q (b) 2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11412 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, 2, -38, 75 in ascending order.\nAnswer: -38, -5, 0, 2, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178152 - -178270.9704. Let i = y - 119. Round i to three decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -22, -1\/6.\nAnswer: -22, -1\/6, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 866 + 3604?\nAnswer: 4571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 479.2?\nAnswer: 473.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**2 + 24*i + 149. Let m(l) = -4*l**2 - 12*l - 75. Let f(y) = 7*m(y) + 4*w(y). What is the derivative of f(x) wrt x?\nAnswer: 8*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -129. Let s = v + 56. Let w = -13.9 - -12.9. What is the nearest to -2 in s, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2679, 185, -2309, -4803, -7297, -9791?\n\"Answer: -2494*x + 5173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 2*z - 3, 6 = -3*s. Let p = 0.4 + -0.6. Let q = p + -0.8. Which is the closest to q? (a) z (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3449 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 57*m. Let v(t) = -t. Calculate c(v(f)).\nAnswer: 2*f**2 + 57*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 48*a**2 - 14*a - 8. Let v(g) = 3*g + 1. Give i(c) + 5*v(c).\nAnswer: 48*c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - 137. What is the remainder when 80\/(-14) + 6 - (-1886)\/14 is divided by h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2*d + 5*d + (5 - 2 - 4)*(-d + d + 2*d) + 6*d + 5*d - 6*d - 3*d + 0*d + 2*d in the form n*d + r and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25488 + 25493. Let q(r) be the third derivative of 0*r**3 + 0 + 1\/72*r**4 + 1\/180*r**b + 0*r + 38*r**2. Suppose q(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345 + -344.9424. Let k = g + 0.0884. Which is the closest to -1\/2? (a) -4 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -4*a + 4*g + 12, -g = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*q + 255 = 0, 0 = -3*q - 6 - 9. Let k = 320\/7 - s. Which is the nearest to k? (a) 1\/6 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 368 = -4*z. Let x = z + 86. Let y = -43 - x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 0*o**2 - 9*o**2 - o**2 + 0*o**2 + 2*o**2 + (-2*o + 4*o - 3*o)*(1 + 2*o - 1) - 5*o**2 + 3*o**2 + 4*o**2 + (-120 - 8*o + 120)*(-4*o + 0*o + 3*o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - -17. Suppose -4*u - o = 4*o - 170, -u - o + p = 0. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:56 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -173*a**4 - 2*a**2 + 4*a - 8. Let b(i) = 172*i**4 + 3*i**2 - 5*i + 8. Let z(x) = -2*b(x) - 3*h(x). Find the second derivative of z(f) wrt f.\nAnswer: 2100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - -841)*60\/14. What is v rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81795 is divided by 317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Suppose 0 = 3*j + 4*d - 3*d - x, 4*j - 3*d - 5 = 0. Let v(f) = -1 + 5*f - 3*f**2 + j*f**2 + 5. What is v(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 1608*j**2\/7 - 430944*j\/7 - 38497664\/7.\nAnswer: -2*(j + 268)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -20, -37, -60, -89, -124, -165?\n\"Answer: -3*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89508906 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*h = -2*x, -4*x - 3*h = 26. Let n be (-2 - (-3 + x)) + -3. Factor w + 4*w - n*w**2 - 7*w.\nAnswer: -2*w*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -95*n**2 - 8*n - 20. Let r(p) = 63*p**2 + 5*p + 13. Suppose 0 = -3*f - 8 - 7. Let c(x) = f*q(x) - 8*r(x). Find the first derivative of c(z) wrt z.\nAnswer: -58*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265817 and 5179333?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -276, -279, -286, -297, -312, -331?\n\"Answer: -2*i**2 + 3*i - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*j*l + 2*j*w**3 - 27*j*w**2 + 4*l*w**3 - 2*l*w**2 wrt l.\nAnswer: -58*j + 4*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 - 62. Calculate the remainder when 83 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*i - 515*i + 179*i - 120 + 178*i to o*i + n and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 29 = -21. Suppose -3*a - 6*y + 3*y = 0, -p*a - 3*y + 5 = 0. Suppose 1170 = 3*z - 6*g + 3*g, -a = -5*g. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**4\/7 + 64*h**3\/21 - 38*h**2\/7 - 136*h\/7 + 348. Determine g, given that j(g) = 0.\nAnswer: -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-16) - 22330\/(-3248). What is the closest to p in 3, -0.4, 0.056, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3646 + 10916 - 3625 + 22*z - 3645.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:00 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2273 and 45039495?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) + 44\/16. Let h(b) = b**3 + 3*b**2 - 3*b + 1. Let v(m) = 2*m**3 + 8*m**2 - 8*m + 2. Let z(r) = s*v(r) - 8*h(r). Differentiate z(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -y - 560, 2*r - 2*y + 66 - 298 = 0. Let d = 117 - r. What is the lowest common multiple of 4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -5*s + 1476. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 143256?\nAnswer: -10027.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4664, 9329, 13992, 18653, 23312, 27969?\nAnswer: 32624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42331680 and 2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Suppose -6*k + 2*k + s = -2, 2*k = p*s + 10. Let d be 6\/(-9) - (-1 - k). Sort d, -5, -0.2 in descending order.\nAnswer: d, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 23. Let f be (r\/6)\/(6\/1812). Suppose -5*s = 3*c - s - f, 4*c - 3*s = 218. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -33*i**2 + i. Let k(y) be the third derivative of 0*y**3 + 0 + 0*y**4 - 8*y - 1\/30*y**5 + 5*y**2. Give k(d(o)).\nAnswer: -2178*o**4 + 132*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 7:26 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 2*q**4 + 0*q**3)*(-3*q + 2*q + 3*q)*(0 + 3 + 1)*(-1 + 0 + 0).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20843633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 59 = -74 - 249 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s**3 + 189*s**3 + 253*s**3 + 712 with respect to s.\nAnswer: 1302*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (2 + 0). Suppose y*j - 6 = -j. Let h be 0\/(0\/(-8 + 5) - -3). Solve 8 = 2*f, -p - j*f + f + 25 = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 2*y**2 + 1. Let o be b(1). Suppose -o*t - 1 - 1 = -2*d, 5 = -t + 5*d. Let s(j) = 0*j - j + 2 + t. Determine s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11205178 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/5 + 21*t**4 - 39*t**3 - 21*t**2 + 198*t\/5 = 0 for t.\nAnswer: -1, 0, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/20*k**5 + 0 + k**2 + k + 0*k**3 + 0*k**4. List the prime factors of y(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 628*t**4 + 258*t**4 - t**3 + 312*t**4 as l*t**2 + a*t + i*t**3 + q + f*t**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113130 (base 4) to base 11.\nAnswer: -4228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321\/11 - -29. Let k = 10.2 + -11. What is the third biggest value in k, s, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5)*r)\/r**(-6))**(-2\/39)*((r\/r**2)\/((((r*r\/(r\/r**(-1)))\/r)\/r)\/r))**(1\/3) assuming r is positive.\nAnswer: r**(18\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*c - 124 = 378*c + 464*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/115368 and -97\/374.\nAnswer: 1961256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.06*-0.006.\nAnswer: 0.02436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 7*c**4\/3 + 10*c**3\/3 + 32*c. What is the second derivative of f(n) wrt n?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 731 divide 29320410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 943 + 113?\nAnswer: a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**3 - 11*h**2 - 15*h + 17. Let k(q) = 3*q**3 - 5*q**2 - 7*q + 8. What is 13*k(f) - 6*o(f)?\nAnswer: -3*f**3 + f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/170*(-72)\/(-459)*(-2)\/(-4)*-1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 - 64*f**2 + f + 260?\nAnswer: 24*f**2 - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -0. Let k be (-8)\/12*(0 - 3). Solve -q + v*o = -0*o + 5, o = q + k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/7 + 59309*l**4\/7 + 127631753*l**3 + 414479027899*l**2\/7 + 411799057620*l\/7 - 827171567100\/7 = 0.\nAnswer: -29415, -478, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(396) - (-1 + sqrt(11) + -2)*3) + (sqrt(88) + ((2*sqrt(88) - sqrt(88)) + sqrt(88) - sqrt(88))*1)\/(sqrt(8)*2*4)*-4)**2.\nAnswer: 32*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 56956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + 11 + -136 + 0 + 15 + -22?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(2\/((-24)\/9)). Suppose 0 = -2*j + q - h*q + 1, 3*j - 1 = -5*q. Suppose -4*y + j + 102 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6567511672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*p = 310*p + 128 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.2, 1\/4, -10639?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1 - -2) + -1. Suppose 0 = v + 6*v. Suppose -3*x + h*u - 3*u = -171, v = -3*x - 4*u + 169. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112021102 (base 3) to base 4.\nAnswer: -2202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**8\/112 - 3*r**7\/70 + 3*r**6\/40 - r**5\/20 - 14*r**2 - 14. Let n(a) be the second derivative of f(a). Factor n(l).\nAnswer: 3*l**2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 3*(-2)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 18*t - 3. Let u be q(9). Let a be -7 + u\/10 - 1\/(-5). Let c = -0.5 - -0.7. Is c <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsb when three letters picked without replacement from btsftttbwsb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**4\/t)\/t)\/(t\/t**25))**(-41) assuming t is positive.\nAnswer: t**(-1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879*q = 877*q. Suppose 3*w - 8*w + 2265 = q. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342 - 2*v**2 + 0*v**2 - v + 5*v**2 + 342 + 3*v**4 to m*v**3 + s + k*v**2 + w*v**4 + h*v and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-49) + 34952\/239267?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 379290 and 227574.\nAnswer: 1137870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/797 or -1?\nAnswer: -1\/797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziio when four letters picked without replacement from {e: 5, f: 2, o: 3, i: 1, z: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/(-4))\/(2\/(-4)). Let k = 44 - 40. Suppose -3*y + 7 = k*p + 4, -4*p + 5*y + 27 = 0. Solve 2*d = -p*j - s, -5*d + 3*j - 2 = -22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 j when three letters picked without replacement from {j: 3, a: 1, v: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 11. Let j be (2 - (1 - h)) + 17. Solve -5*o - j = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c9 (base 15) in base 12?\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*i - 262*i - 40 = 5*l, 3*i + 6 = 3*l. Let f(h) = -28*h - 143. What is f(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/9 - 326*b**2\/9 + 344*b\/3 + 664 = 0. What is b?\nAnswer: -166, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -3 + 3 + 2)*1. Let f(k) = 38*k**2 + 2*k + 1. Let t be f(b). Let z = -26 + t. What is the greatest common factor of 44 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1520, -1524, -1524, -1514, -1488, -1440?\n\"Answer: d**3 - 4*d**2 + d - 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 23 + 34 = -2*d, 3*d + 54 = -3*r. Let c = 23 + d. Solve t - 5*w = -2*t - 8, -12 = -t - c*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1866 or 1867?\nAnswer: 1867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-23 + 7 + (-13 - -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*q - 27, 12872*q + 21 = -5*c + 12871*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17741616.\nAnswer: 2, 3, 89, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218623 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10.02. Let n = 0.12 - d. What is the smallest value in 1, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) -4514 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1015 + -869. What is the greatest common factor of o and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11665288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -42*y - 12. Let r(s) = 5*s + 2. Let d(p) = -5*r(p) - w(p). Let f(z) = z. Give d(f(o)).\nAnswer: 17*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/289, 0.1, -0.231, 5.\nAnswer: -0.231, -2\/289, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -7 - (-5740)\/(-210). Suppose 0 = 2*l - 3*l - 34. Is r at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1458\/7, -18, 7\/2 in decreasing order.\nAnswer: 1458\/7, 7\/2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = 2*r - g, 2*g - 6 = 0. List the prime factors of r\/(5\/(-80))*(-2 - 9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 3. Let u be p(0). Suppose -i - 3 = -3*n, 0 = -6*n + u*n + 6. Solve -1 = -i*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v + 0*v - 5*v)*(0*v - 2*v + 4*v) + v**2 - 5*v**2 + 3*v**2 + 1 - 236562*v + 463*v**2 + 236562*v in the form u*v**2 + y*v + d and give u.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**15)\/u**(15\/7))**(-47))**(-26))**(-4\/15) assuming u is positive.\nAnswer: u**(552344\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 594321415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/79 != -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4 + 2*t - 5 + (t + 3*t - 2*t)*(-11 - 1 + 0) to o + y*t and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = t - 7 - 5, 4*t - 20 = -5*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(18\/7)*b)\/(b*((b*b**(12\/5)*b)\/b*b)\/b))**(-8\/3) assuming b is positive.\nAnswer: b**(464\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228171.\nAnswer: 3, 19, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412aa6 (base 13) to base 11.\nAnswer: 3645464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:18 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 113. Calculate the lowest common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*5\/30 + 91\/2. Let o = d + 25. Let i be (-5)\/(-5) + 54\/2. What is the greatest common divisor of i and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -14*i + 981. Let q = 125 - i. What is the least common multiple of q and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456*0.017521\nAnswer: -7.989576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + 1\/7. Let o = -47444 + 521881\/11. Which is the biggest value? (a) o (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-26)*(-13)\/((-1001)\/28). Let n = 179 - 178.8. Is w at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.31573 to two dps.\nAnswer: 10.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*(-9 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 897*d - 2095. What is the remainder when r(3) is divided by 62?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l)**(3\/4)*(l**(-13)*l*l)\/(l**(8\/9)\/l) assuming l is positive.\nAnswer: l**(-365\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 48*s + 52. Calculate k(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343533 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147265 to three dps.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let f = -28 - -30. Calculate the greatest common divisor of i and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*x = -21, 1514*x + 40 = 1510*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10\/9 (b) 0.5 (c) 6 (d) 3 (e) -2\/11 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 + 6513*g - 32564\/5.\nAnswer: -(g - 32564)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -870db (base 16) to base 7\nAnswer: -4462524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + m + 32 = 0, -25 = -4*c + m. Suppose 1890 = c*s + 7*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaacacaacrcaa. What is prob of picking 2 a and 1 r?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + -2. Let b = -8.87 - -4.94. Let i = 9.93 + b. What is the third smallest value in p, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.6 + -9.5. Let v = -33\/14 + 111\/56. Let k = -7\/24 + v. Which is the nearest to -2? (a) k (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2 + 2 + sqrt(117)\/(sqrt(9) + (sqrt(225) - sqrt(9))).\nAnswer: -9*sqrt(13)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 15 = 0, 3 = -3*f - z - 0. Suppose -1 = -f*g - g. What is the derivative of 3 - g - 4*l**4 + 8*l**4 wrt l?\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 131 = 4*i, -445*i + 444*i = -3*s - 10. Solve -51*z + i*z - 40 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -5\/4 (c) -9.4 (d) 0.2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-2) + -14 - (-189 + 3) is divided by 64?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 5, t: 7}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z)\/z**6)\/(z*(((z**3\/z*z*z)\/z*z*z)\/z)\/z*z*z*z*z**(2\/23)) assuming z is positive.\nAnswer: z**(-255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8 - -19)\/(-9) + 3903\/1440 and -39\/320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.4. Let a = 0.4 + s. Let o = 0.226 - 0.026. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 104\/6 - (-16)\/24. Let d be (-549)\/(-54) + (-3)\/i. Let u be ((-1)\/3)\/(d\/30). Is u at most as big as -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 3}. Give prob of sequence crc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -142*w + 2. Let q be i(-2). Let y = q + -125. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119333 is divided by 98.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/20 + 2*s**4\/3 + s**3\/2 - 3*s**2 - 2*s. Let w be k(8). Calculate the greatest common factor of 162 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (6 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 69, -6500, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 88*d**3\/3 + 171*d. Let q(s) = 27*s. Determine -33*q(v) + 5*y(v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/2*(0 - (-69)\/(-2))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 14*m - 32. Let f be j(16). Suppose -23 = 3*k + 5*a + 2, 2*a + 10 = f. Solve k*l - 6 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0158423 - 0.2.\nAnswer: -0.1841577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1534 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 13, 137, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 5) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-3))\/((-3)\/(-3)). Let a(c) = -c + 4. Let m be a(l). What is the second derivative of 19*g**4 + 17*g**m + 10*g**5 - 36*g**4 + 9*g wrt g?\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 30, 2 in ascending order.\nAnswer: -5, -4, 2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r**2 + 5. Let m(d) = 10*d**2 - 4. Let h(u) = -4*f(u) - 5*m(u). Let j(t) = t. Determine h(j(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*j - 7 = 2, 0 = -x + 3*j - 15. Calculate the remainder when (x\/4)\/(1*6\/(-1884)) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-4)*(-7)\/((-14)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16336231 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4311926412.\nAnswer: 2, 3, 359327201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -5\/7*z**7 + 4\/3*z**3 + 1 + 0*z**6 + 0*z**2 + 0*z**4 + 0*z + 0*z**5. What is the third derivative of p(l) wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-40))\/((-14)\/(-10))*-5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 2*b - 5. Let p be m(-6). Let i = 0 - p. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 - 5*x**4\/24 + 5*x**3\/3 + 3*x**2. What is the remainder when j(-5) is divided by (-1168)\/(-192) + (-3)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 4*u. Let l(d) = -15*d**2 - 12*d. Let y(b) = -2*l(b) + 7*z(b). Let s(p) = -4*p**2 + p**2 - 3*p + 5*p**2 - 6*p**2. Determine 4*s(i) - 3*y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -3 (c) 14 (d) 7 (e) 4 (f) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(7)*-6)\/sqrt(11).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826430, 826427, 826422, 826415?\nAnswer: 826406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1313 + 2333404?\nAnswer: 2340222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6*t - 198861, -m + 198856 = 2*m + t. What is the ten thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -10, -9?\n\"Answer: o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-2)\/((-4)\/(-26)). Let d(m) = m - 2. What is the units digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a)**(3\/38)\/((a**(5\/3)*a)\/(a*a**1)) assuming a is positive.\nAnswer: a**(-29\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (95\/(-25))\/((-2)\/10). Suppose -6*x + 12 = -2*x. Suppose 0 = -x*k + 5*d - 62, -2*d = -k - a - 3. Which is smaller: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1\/l**(1\/8))**(-9\/7))**(6\/29))**22 assuming l is positive.\nAnswer: l**(-297\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -1043742.\nAnswer: 73061.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 9, -0.059, -4, 4\/41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {x: 1, d: 3, j: 5, u: 1, h: 2, n: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 848 and 8688.\nAnswer: 460464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156a390 (base 12) to base 16.\nAnswer: 42b79c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-56)\/24)\/((-1)\/6). Let u(t) = t**3 - 13*t**2 - 10*t - 8. Calculate the lowest common multiple of u(m) and 14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654059791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**5\/120 - x**4\/6 - x**3 + 4. Let b(r) be the third derivative of a(r). Let m be b(-8). Is m at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2500530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*h**2 + 30\/11 + 16\/11*h.\nAnswer: 2*(h + 3)*(h + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t\/(t*t*t**4*t*t)))*t*t\/t**(2\/5)*(t\/(t\/((((t\/(t\/(t*t**0*t))*t)\/t*t)\/t)\/t)))**45 assuming t is positive.\nAnswer: t**(193\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 3. Let p(b) = b - 3. Let v be p(13). Let s(t) = 2*t - 10. What is the smallest common multiple of s(v) and g(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 9*c**2 - 3 + 0 - 2*c + 2*c**3 + 11*c. Let g be p(8). Let m(w) = -2*w - 11 + 0*w + g*w + 2*w. Let j(o) = 2*o - 5. Calculate -7*j(u) + 3*m(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62602 (base 9) to base 14.\nAnswer: -110ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*w + 45*w**3 - 28*w - 12*w**2 + 61*w + 8 - 8 as d*w**3 + f + r*w + y*w**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o*o*o\/(o**6\/o)*o)\/o*o*o*o*o*((o**(-2\/7)*o)\/o)\/o*o\/(((o**(2\/23)\/o)\/o*o*o)\/o)*o*o*o**(1\/9)*o assuming o is positive.\nAnswer: o**(9764\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 + 0 + 38025*z**4 - 8*z**6 + 2*z**5 - 38027*z**4 - 29*z**2 + 38*z**5 wrt z?\nAnswer: -960*z**3 + 2400*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 19, -17?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**0)\/d)\/d**1)\/(d**(-1))**(9\/7) assuming d is positive.\nAnswer: d**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 14178945 to the nearest one hundred thousand.\nAnswer: 14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/3*(2 + -1). Let h(w) = -w**3 - w**2 + 9*w - 12. Let a be h(-4). Suppose i*j + 56957925 + 10542075 = a. Round j to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 1, q: 4}. What is prob of sequence rkq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2472 and 126381.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1067 in 86\/9, -5, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90132 and 15836?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 3*g + 4, -12*q + 16*q = g + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*u - 4, 14*i - 2*u = 17*i - 16. Suppose 0 = -i*o + 13*o - 40. Suppose 4*p = -0 + 16. Calculate the greatest common divisor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/14 - (-1)\/2. Let p be (-1)\/(3*g\/(-3)). Let w(d) = d**2 + 7*d + 2. Let f be w(-7). Sort 3, f, p in descending order.\nAnswer: 3, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgfwrjf. Give prob of sequence rg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - 3*j**2 + 2*j**2)*(4916*j + 3285*j - 1520*j + 286*j - 1556*j) as m + v*j**3 + x*j**2 + u*j and give v.\nAnswer: -5411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u = -26*u - 4455. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 + -11 + (-4)\/(4\/(-3)) and 428?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212 - 127. Calculate the highest common divisor of h and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131675.3 + 536727.\nAnswer: 405051.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 1\/5, 1.72?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3858, 0, 4, 15.\nAnswer: -3858, -18, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y + 17. Let p(j) = -j + 8. Let c(i) = m(i) - 2*p(i). Let v(w) = -2*w. Determine v(c(t)).\nAnswer: 16*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 - 2*s - 5. Let k be r(-1). Sort -3, k, -9, 44 in decreasing order.\nAnswer: 44, k, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/784)\/(9\/147)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120201101000001 (base 3) to base 6.\nAnswer: 455010431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(864) + -2*sqrt(864) - 1*sqrt(216))\/(-4*sqrt(3)*2*-5).\nAnswer: -9*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01301 - -0.06829. What is the nearest to -0.1 in 2\/13, 0.2, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 + 2 = 2*x, 3*x + 3*k = 42. Is x\/2 + (137 - -2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107143 is divided by 53049?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13.1137+1\nAnswer: 14.1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -81647*d - 1388001. Give n(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (829\/829 - (-8)\/(32\/60)) + -147?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17451 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.356976 rounded to 3 dps?\nAnswer: 1.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -435 + 447. Solve 3*g - 6*g + o = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 692 + 0*j**2 + 14*j**3 - 258 - 2*j**2 - 15*j**3 - 289 + 2*j**4 in the form k + t*j**3 + w*j + s*j**2 + d*j**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 4. Let x be p(-4). Let z be 1\/(2 + 21\/(-11)). Let b(n) = -n**3 + 7*n**2 - 12*n + 3. Let h be b(4). Solve -z + h = -x*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q + 22. Let x be (-6)\/9 - q\/(-6). Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18003.46149ms?\nAnswer: 0.000029767628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 118 + 148. Let -y - 15\/4*n**3 - 39\/4*n**2 - 37\/4*n - 1\/4*n**4 = 0. What is n?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, -1 in increasing order.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3733 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 158030308?\nAnswer: 790151540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.4 + -26. What is the biggest value in w, -15, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 9. Let y(f) = 3*f + 8. Let a(u) = -4*i(u) - 5*y(u). Let p(c) = -6*c - 9. What is -5*a(z) + 2*p(z)?\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 5, 19, 39, 65?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 672766 or 672769?\nAnswer: 672766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2488 - 4706 = -3*v. List the prime factors of v.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13056591 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/10 + -1 + -2. Suppose 2*y - 20 + 8 = 0. Suppose 0 = -z + y*z. What is the nearest to v in z, 0.4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 247799619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 2*i. Let f(m) = m**3 + m**2 - 20*m - 7. Let z(r) = 6*d(r) - f(r). Determine z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let j = 1 - -1. Suppose 3*z - 27 = 5*g, -2*z = 4*g + j - 20. What is the smallest common multiple of t(-9) and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*f - 62*f + 1307 + 394 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -14341*t**4\/2 + 21507*t**3 - 21498*t**2 + 7157*t + 9\/2 = 0.\nAnswer: -9\/14341, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -89*x**2 + 10*x - 17. What is the tens digit of d(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 300706176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 6*b + 4. Let q be s(6). Solve -4 - 4 = -q*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1776480 by 6.\nAnswer: 296080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - (1 - (2 + 0))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*a + 4 = 0, -18 - 22 = -5*k - 5*a. Suppose -k*r + 1 = 11. What is the units digit of 3*(r + -1 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-33))**11\/(k**(2\/49)*k**(-12\/7)) assuming k is positive.\nAnswer: k**(-17705\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59836 and 58464?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 139*l**3 - l**2 + l - 6. Let t(o) = -o + 1. Let n(d) = -3*t(d) - y(d). Is n(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -76971, 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 37071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.403 decades in centuries?\nAnswer: 24.7403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 33. Let g = 12 + m. Solve 0 = g*r + 3*z + 12, 2*z = -2*r - 0 - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*h - 9 = -32, h = 2. Let l(v) be the first derivative of -v**2\/2 + 40*v - 2. Is 21 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**6\/2 - 13*l**4\/2 - 143*l**3\/3 + 554. What is the third derivative of i(b) wrt b?\nAnswer: 180*b**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/42 + 4*w**3\/21 - 32*w**2\/7 + 64*w\/3 - 859. Find l, given that a(l) = 0.\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {t: 1, o: 3, w: 2, a: 1, q: 3, r: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 370 + -668. Let r = a + 555. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515330, -2063188, -4642960, -8254652, -12898270?\nAnswer: -18573820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 22*r**2\/3 + 8*r = 0. What is r?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -206, -184, -20, 334, 926?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/716 - 435303\/3580. Let d = m - -122. Is -0.09 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxrxxxxxxxxxrx. Give prob of picking 3 x.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/40 + c**5\/15 + c**3\/3 - 41*c**2. What is the hundreds digit of j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + -3 - -9) + -31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5053 - 0.1393. Let g = j + 1.23. Let r = 2.7 - g. What is r rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*r**2 + 24\/13*r - 72\/13 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*v - 6*v. Let f = 10 + v. Is (f\/(-4))\/(2\/892) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 485.\nAnswer: 4\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 16999997.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from {j: 6, z: 2, l: 1, i: 2, p: 1}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 1. Let p(t) = 4*t + 4. Let y(g) = 4*p(g) + 5*r(g). What is y(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let r(g) be the first derivative of g**5\/30 - 3*g**2\/2 - 2. Let c(t) be the second derivative of r(t). Calculate y(c(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 greater than or equal to 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(10)\/sqrt(5))*-3 + ((sqrt(11) + -1)*-6 - -5*(1 + sqrt(11) + sqrt(11) - sqrt(11)))**2.\nAnswer: -25*sqrt(11) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.981358 to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37961927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, o: 16}. What is prob of picking 1 o and 1 t?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12404370 and 88?\nAnswer: 49617480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - 2*((sqrt(84) - sqrt(84)*-2) + sqrt(84))))\/(3*sqrt(147)))**2.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (960\/(-200))\/((-114)\/(-95)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43746 and 216?\nAnswer: 1574856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 66 - 1117432132*i**3 + 1117432135*i**3.\nAnswer: 3*i**3 - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32873 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) 2 (c) -3\/2 (d) 454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - 11308?\nAnswer: -11344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 30736 = -2*n, 10*n - 4*d = 12*n - 30718. List the prime factors of n.\nAnswer: 5, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 365 + -340. Solve 0 = 10*l - v - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**4\/3 - s**2. Suppose 3*c = -4*g + 16, -2*c + g = -g - 6. Let w(b) = -2*b + c*b - 6*b + 2*b. Give v(w(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196790645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 + o**2 - 16*o + 9. Let s(i) = -11*i**3 - i**2 + 28*i - 16. Calculate -5*n(d) - 3*s(d).\nAnswer: 8*d**3 - 2*d**2 - 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12813*a*t - 1771*a - t - 5 with respect to t.\nAnswer: -12813*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -218057?\nAnswer: -218062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/14)\/(m**3*m*m*m))**(-39))**24)**(-30) assuming m is positive.\nAnswer: m**(-1165320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + b**2 - b - 1. Let j be d(-1). Let s be 1 - j - (-2 + -5). Suppose 0*a + 12 = 5*c + a, 5*a - 20 = -5*c. Solve -4*t + c - s = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205124 is divided by 308.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 + 3*w - 16. Let j be y(4). Is -100 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846*j - 117608*j - 84282*j.\nAnswer: -201044*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 15)*(0*r - 14*r - 33*r) in the form d*r + i and give d.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2074494, -4148977, -6223448, -8297901, -10372330, -12446729?\n\"Answer: h**3 - 2074490*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437070326, -437070314, -437070300, -437070284, -437070266, -437070246?\nAnswer: -437070224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 264 = 5*h. Let d(y) = 3*y - 2. Let u be d(2). Suppose -u*v + 2*v = -22. Calculate the greatest common divisor of h and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 14*n - 16*n. Is (-18)\/10*(-12 - n) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3))**(5\/14)\/(b\/(b*b*b*b**(-3)*b))**(-1\/4) assuming b is positive.\nAnswer: b**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 5*z)*(3*z + 5*z - 6*z)*(5*z + z - 5*z)*(-5 + 5 + 2) + (-2 + 4 - 1)*(2*z**3 + 4*z - 4*z).\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 450*w**2 + 54*w. Let n(q) = -41*q**2 - 5*q. Let z(r) = 54*n(r) + 5*p(r). Let x(t) = 2*t**2. What is z(x(o))?\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2\/11 (c) -2\/265 (d) -4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/29 (b) 2 (c) 0.3 (d) 0.5 (e) 17.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*p + 3)*(1 + 0 - 3) + 1007 + 6371*p - 1007 in the form k + i*p and give i.\nAnswer: 6367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -365*a + 32443. Calculate n(83).\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqcqcqcccqpcc. What is prob of picking 1 q and 2 p?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m + 160 = 5*r, 3*r + 5*m = 96. What is the remainder when 62 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23330 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -62*b**7\/105 + 11*b**6\/120 - b**5\/20 - 10205*b**4\/24 + 9955*b**2. What is the second derivative of j(k) wrt k?\nAnswer: -1488*k**2 + 66*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q + 2. Let v(d) = 28*d - 6. Let h(g) = -11*i(g) - 4*v(g). Is h(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 + 2409. Is 43 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by 2584?\nAnswer: 97\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 8 = -4*p, -2*q + 17 = 5*p. Let h = -1.3 - -1. Let o = 4 + 1. Put q, o, h in descending order.\nAnswer: o, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*r - 19, 8 = 4*r - l - 16. Let c(d) = -d + d - d + 0. Let u(s) = 6*s + 1. Let k = -193640 - -193641. Determine k*u(b) + r*c(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003303 - -210?\nAnswer: 1010113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*m + 4*v, -6 + 1 = -5*v. Let c be ((-35)\/20)\/m*-1. Factor -4 + 2*o - c*o**2.\nAnswer: -(o - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/4322 and -31\/572.\nAnswer: 1236092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 1 + 0*s**2 + 2*s**3 - 3*s**3 + s**2. Let u = 106 - 103. Let g(x) = 6*x**3 + 3*x**2 - 3. Calculate u*a(t) - g(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 + 164.7. Let q = t - -10.3. Put q, 2, 0.2, -0.4 in increasing order.\nAnswer: -0.4, 0.2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:01 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191 + 1600 = 17*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + r + 14. Let w be k(-6). Let j = -55 + w. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 41. Determine r(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wffffbzfwfwwpfz. Give prob of sequence fb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 36. Differentiate 6 + 3*w - 31*w**2 + 83 + d*w**2 with respect to w.\nAnswer: -36*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -28 (c) -239875\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from fssfnsxnsxfff?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - 205. Let z = 162865 - 163110. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7*w + 10, -d + 12 = 4*w. Let b = -2 + d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -10.\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(285)\/sqrt(5))\/(sqrt(3) - 3*sqrt(12)\/sqrt(4))*1 + 1.\nAnswer: -sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23842\/(-58) + 58\/841. Is w at least -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from {m: 1, p: 3, q: 1, o: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -2, 299404 in descending order.\nAnswer: 299404, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(64))\/sqrt(4))\/(sqrt(8) + (sqrt(8) - (sqrt(160)\/sqrt(5) - sqrt(8)))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179895 + 179895 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4142 divided by -22761\nAnswer: -4142\/22761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l + 58*l - 17833 = 0. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184126, 184128, 184130, 184132, 184134, 184136?\nAnswer: 184138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 100. What is the lowest common multiple of 24 and c(20)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122022014211 + -1?\nAnswer: 122022014210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014129625 to four dps.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1592 + 1857. What is the remainder when s is divided by 131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.215 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(11\/3))\/(((g*g**13)\/g*g*g)\/g))\/(g\/(g\/((g\/(g*g**27\/g*g))\/g)))**(-1\/10) assuming g is positive.\nAnswer: g**(-292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + ((4*sqrt(190) - sqrt(190))*-6 - sqrt(190)))\/(-2*(sqrt(10) + sqrt(10)*-3)))**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -5*k**9\/504 - 19*k**5\/30 + k**2 - 13. Find the third derivative of c(x) wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9598169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (11 + -16) - -17 - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c - 161 - 19. Let i be (168\/c)\/(2 + (-48)\/20). What is the highest common factor of 147 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.112404*0.38\nAnswer: 0.04271352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-4))\/((-4)\/16). Let c(z) = -11*z + v*z - 18*z. Let a(q) = q. What is c(a(g))?\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u. Let j(n) = -n. Let k(h) = 6*j(h) + 2*q(h). Let z = -3 - -5. Let s(p) = 3*p**z - p**2 + 0*p**2 + 2*p**2. Give k(s(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146334?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*z - 8791, -418*u + 415*u + 4*z + 13190 = 0. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 13178175?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8036 (base 9) in base 7?\nAnswer: 23046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(-1*sqrt(175))**2 - ((sqrt(42) + -1*sqrt(2058) + sqrt(2058))\/(sqrt(6) + sqrt(6) + 3*(sqrt(18)\/sqrt(3) + sqrt(6))))**2)*-4.\nAnswer: -11193\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h**2 + h**2 + h**2. Let l(z) = 4 - 14*z - 4 - 18*z + 20*z. Give l(x(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*x + 38 = 28, -5*x - 10 = 5*h. Which is bigger: h or 1\/618?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*i**3 - 32*i + 256\/3 + 4*i**2.\nAnswer: -(i - 8)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/20 + 1\/10. Determine l so that 0 + j*l - 1\/3*l**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 3*v = -164, -1768 = 5*u + v - 1796 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11693, -23720, -36085, -48794, -61853, -75268?\nAnswer: -89045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 - 126. Let g = 6 + -4. Let p(c) = -6*c - 3*c - 3*c**g + 4*c**2 + 8. Give p(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 - 5)*(5*u - 4*u - 10*u) - 7 + u + 7 - 4*u + 3*u - u)*(-5 + 3 + 1).\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -22*y**2 - 10. Let r be 1 + -2 - (4 - 21). Let v(l) = -7*l**2 - 3. What is r*v(f) - 5*a(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -14\/83 (b) 3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1\/1203, -1\/2672 in increasing order.\nAnswer: -1\/2672, 1\/1203, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 36*y = 225 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -35*m. What is the units digit of c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 1, 2\/5, 3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -48 + (-24 - (0 - 17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -577, -214 in descending order.\nAnswer: -7, -214, -577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7444809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*k, 4*p - k - 2*k = 28. Calculate the remainder when 28 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 562 - 6*4\/(-8). Calculate the common denominator of 4\/3*y\/40 and -29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -3998.\nAnswer: -63\/3998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 6:35 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 21*w + 28*w + 59 - 3*w + 4*w**2 in the form j*w**2 + c*w + h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (250\/(-60))\/25 - 3290\/(-12). Let h = t + -268. Let i(c) = -8*c + 20. Let k(l) = -3*l + 7. Calculate h*i(b) - 17*k(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 9*j - 3\/2*j**3 + 0*j**2 + 1\/3*j**4 + 0. What is the second derivative of z(g) wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/24 - n**3\/2 - 6*n**2. Determine f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29600 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*y + 1155458 + 1990754, 4194980 = 4*y - 5*h. What is y rounded to the nearest one thousand?\nAnswer: 1049000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3 + 3 + 40*u - 2 - 43*u. Give p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 110 = 2*l, -2*l - 2*j = 3*j - 108. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 15*p + 760. What is the least common multiple of p and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 - 9*i - 11. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**6\/10 - 9*r**5\/4 + 13*r**4\/4 + 15*r**3\/2 - 21*r**2 + 686*r. Factor m(t).\nAnswer: 3*(t - 14)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2365*a - 1230*a - 1165*a. Let k(j) be the first derivative of -4*j**3\/3 + 1. Determine m(k(y)).\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2091975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*-1*sqrt(891).\nAnswer: 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/20 + 7*u**4\/6 + 7*u**3\/3 + 2*u**2 - 249*u. What is x(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298.13 - -300. Let f = 0.13 + r. What is the biggest value in 5, f, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 - 1 - 51*s**3 - 19*s**3 - 1.\nAnswer: -57*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*6\/2*28\/(-112).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -125*n**2 - 61*n + 503. Let r be l(11). Let y = -6999008051\/44 + 159053071. Let p = y - r. Calculate the common denominator of 29\/24 and p.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose k + 16 = -m*k. Let v be 15\/(-28) - 4\/k. Is v < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 + 31 + 24 - -10) + 118?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*q - 0*q + 42, 3*q = 0. Suppose 5*k = i + g - 4, 0 = -5*k + 15. Solve -s - 3*s + 2 = -2*r, -2*s - i*r - 17 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2649 + -10505\/4. What is the common denominator of d and -73\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 89.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.0047\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 127*y - 16129.\nAnswer: -(y + 254)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557301 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -16. Let b = 117 + k. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 524253.4671 to the nearest 10.\nAnswer: 524250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38202008*z - 10693195 wrt z.\nAnswer: -38202008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**2 - 5*r + 3. Let l(s) = -23*s**2 - 14*s + 8. Give -4*l(n) + 11*w(n).\nAnswer: 4*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9908285 and 19\/3877155.\nAnswer: 89174565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqmqaqqmmq. Give prob of picking 2 q.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 + 291*r + 7. Let w(t) = t**3 - 97*t - 2. Calculate 2*k(u) + 7*w(u).\nAnswer: u**3 - 97*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.671 - -0.671. What is the closest to -1.4 in 0.5, 0.1, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -2. Let x = 42 + -46. What is the remainder when (130\/a)\/(x\/6) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 24\/2464*1562.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 11, 44, 89?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 565\/20 + (-2)\/8. Let o = -15 + w. Solve -4*t = -4*a - o - 7, -14 = 2*a - 4*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5 + 187871*h**4 - 10*h**2 - 85*h.\nAnswer: -60*h**2 + 4508904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - q - 1. Let y(u) = -u**3 - 36*u**2 - 2*u - 2. Calculate -2*m(n) + y(n).\nAnswer: -n**3 - 32*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107744 and 134680.\nAnswer: 538720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72988563 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/3)*z**1*(z**(-1\/3))**(-1) assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/43 + -185\/301. Let u(g) = g**3 - 18*g**2 + 19*g - 36. Let j be u(17). Which is the closest to -1? (a) l (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/56)\/((-192)\/840)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 361816 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -18. Suppose -3*f + 59 + 667 = 0. What is the greatest common factor of m and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b\/(b**10\/b)*b))\/b)*b*b**(8\/3)*b\/b**(-1\/13)*b**(5\/6))**(2\/85) assuming b is positive.\nAnswer: b**(3\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563095 is divided by 1722.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 339\/(-3729) + (-342)\/110.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**3 - 4*d**2 - 15*d + 4. Let p(m) = 6*m**3 - 3*m**2 - 15*m + 3. Let l(k) = 4*p(k) - 3*t(k). Find the second derivative of l(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4025170 to the nearest integer?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/30)\/((-8)\/5)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107360 and 119200?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9658103, 9658141, 9658179, 9658217, 9658255?\n\"Answer: 38*i + 9658065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - z + 2, z + 2*z = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 826.5 - 826.24. Sort p, 4, 1, 2\/9 in decreasing order.\nAnswer: 4, 1, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -35\/4, -19, 293\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/200 + 3*r**5\/25 + 21*r**4\/40 - 49*r**3\/5 - 34*r**2 - 9. Factor l(n).\nAnswer: 3*(n - 2)*(n + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1. Suppose -3*i = -2*i - 7. Let k be (2 + -1)*i + 2. Let s(f) be the second derivative of f**3\/6 + 2*f**2 + 407*f. What is k*o(t) + 2*s(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -60794, 1, 2, -1, -123 in decreasing order.\nAnswer: 5, 2, 1, -1, -123, -60794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-1\/19)\/c*c)*c)\/c)\/c*c)\/(c*c\/(c**(-2\/33)\/c))*(c\/c**(-3\/7)*c)**(7\/4) assuming c is positive.\nAnswer: c**(5623\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, i: 3, z: 5, e: 1, o: 3, d: 1}. What is prob of picking 2 i, 1 z, and 1 e?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1680 and 5040?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19c + -ef?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - c - 2, 9*c + 22 = 2*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z - p - 16 = 0, 2*p = 5*z - 12. Let a(b) = 602*b + 30704. Let f be a(-51). Solve 5*k - 8 = -y, 5*k = -f*y + z*y - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 3342\/720) + (-2)\/(-3). Is x >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174837 is divided by 791?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 14309728.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1311 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 356 and 178890?\nAnswer: 357780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2952, 2953, 2954, 2955?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 55. Let o be (-10)\/(-35) + (1476\/q - -3). Round o to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-24)*j*j*j**24 assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 943396*u**2 + 5660264*u - 7546976.\nAnswer: 4*(u - 235843)*(u - 4)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2*z**7\/7 + 2*z**5\/5 + 163*z**3\/3 + 49. Find the third derivative of p(j) wrt j.\nAnswer: -240*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, -8*r - 183 = -3*w - 3*r. Suppose w = 10*m - 19. Suppose 0 = g + y - 8, -4*g - y = -19 + 2. Solve -f - m = -g*b + 6, 11 = -4*f - 3*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l**2 - 4*l. Let o(r) = r. Calculate o(f(v)).\nAnswer: 14*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x - 16. What is q(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.19 - 0.19. Let x = p - 10. Let z = -37\/45 + 3\/5. What is the second biggest value in -3\/4, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - (sqrt(75) - -1*sqrt(75))) + -1)**2 - 3*(sqrt(3) - (sqrt(48))**2)*-1) + 2.\nAnswer: -66 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30614211 (base 8) in base 11?\nAnswer: -3736330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -587? (a) 1 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*t + 140 + 127, 5*v + 555 = 4*t. Let c = 66 - 21. Calculate the highest common divisor of c and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/31629 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:45 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911628 divided by 477907?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 707 = 143. Let o be y\/27 - 2\/9. Suppose -4*m + 11 = -2*m - 3*r, -o*r - 21 = -4*m. Solve -m*a - 10 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 11*n - 4*n + 2*n**2 - 5 - 4 + 6. Suppose 2*y = -p, -4 = -4*y + 4. Calculate a(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2714967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.16219?\nAnswer: 0.016219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*z - 3 = 12, 32 = 5*f - 2*z. Suppose -f*x + 3 = -15. Suppose 26 = 3*h - 2*b, -x*h + 2*b + 22 = b. Let j(t) = -t**3 + 6*t**2 + t + 7. Give j(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571040551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 3*q + 1, 47 = -3*u - q. Which is greater: u or -71\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h - 384 = 0. Suppose -3*x = -0*x - 12. Suppose -2*r + m = x*m - h, 4*m + 8 = 0. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:24 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - -11011?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 44730 and 405 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a4 + -ca?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2288*u + 29706. What is x(-13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hihh when four letters picked without replacement from hiiihhhhihiihihhii?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1044*x + 1020. What is w(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 4*j**3 + 3 - 1 - 1 + 3*j**3 to the form n*j**2 + m + s*j + k*j**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let m(b) be the first derivative of b**2\/2 + 8*b - 3. Let g(d) = -3. Let p(h) = 8*g(h) + 3*m(h). Give s(p(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/153795 and -139\/210.\nAnswer: 2153130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 10*i - 162 = -183, 0 = -2*q + 2*i - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 3*a**3 + 2*a + 178*a**3 - 104*a**3 - 116*a**3 + (-2*a - a + 4*a)*(0 + 2*a**2 + 0).\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + -1)*6 + (2*sqrt(2))**2*4 + 3 + sqrt(8)\/sqrt(4).\nAnswer: 7*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-20) - (-11)\/4. Suppose -2*q = 0, q - 5 = -t - l*q. Solve u = -t - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13491, 13336, 13183, 13032, 12883, 12736?\nAnswer: 12591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 0, -3\/2, -184?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/60 + 5*f**4\/24 + 7*f**3\/6 + f**2\/2 + 2*f. Let d(o) be the first derivative of x(o). Let z = -13 - -8. Calculate d(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/101 - -290\/1111. Which is greater: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 41287452.\nAnswer: 1\/10321863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27139*t - 119 = 27122*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 25*i**2 + 103*i - 23. What is p(-4)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-350)*-7*10\/(-132).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-9)*(-495)\/110?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -3*l - 9, 3*o - 2*l = 11. What is the smallest value in 0.4, 0.075, o?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-15))\/(1\/105*3). Let a = n - -45. What is the tens digit of -3 - (-2)\/3*a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 - 2*o - 7. Let j be ((-1)\/(-2))\/((-3)\/(-24)). Suppose 0 = j*h - 0*h - 12. What is the lowest common multiple of h and v(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1304*i - 1288. What is the remainder when 38 is divided by v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 60 = -0*d - 2*u, 2*d - 2*u - 407 = -471 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 1 (c) -2\/3 (d) 5 (e) -2\/7 (f) 0 (g) -3997\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)\/r**(-9))\/(r**(-1))**(-12\/11) assuming r is positive.\nAnswer: r**(85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663.9566 nanoseconds in minutes?\nAnswer: 0.00000002773261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*i + 50808495 - 50808495.\nAnswer: 153*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 7. Let b be j(0). Suppose 3*r - 31 = -b. Suppose 8 = 2*a - 2*k, -3*k - r = 3*a - 2. Sort -3, a, 3 in ascending order.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o**3 + o. Suppose -4*i = 5*s + 1 - 7, 0 = -3*i - 4*s + 5. What is the units digit of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 489911?\nAnswer: 4409199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11011001100101 (base 2) to base 14\nAnswer: -5109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)\/j*j*j*j*j**10*j*j*((((j\/(j*j**(-4)))\/j)\/j*j)\/j)**(-37) assuming j is positive.\nAnswer: j**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 6*p**2 - 14*p + 15. Let d be y(2). Suppose 4*z + 43 + 45 = 2*b, -5*z = 3*b - 132. Let k = d + b. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240240 divided by -11\nAnswer: -21840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 59 = 3*r, -142523*j + 142524*j = 3*r - 26 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*w + 29, w + 34 = 3*j - 0*j. Suppose -350*u = -353*u + 111. What is the remainder when u is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:56 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 419, 464, 545, 674, 863, 1124, 1469?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -952, -957, -964, -979, -1008, -1057?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-16))\/1*(-378)\/(-23940)*-19.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -491, -600, -711, -824, -939, -1056, -1175?\n\"Answer: -p**2 - 106*p - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 9, -2*h + 3*j - 16 = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3 and -13\/1042?\nAnswer: 3126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - q - 2 + 8 + 4 - 2*q**2 as w*q**2 + c + i*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/2 - 3*l**2 - 4*l + 4. Let r(j) = -4*j**3 + j**2 - 12*j - 7. Let a(d) = 11*h(d) - 6*r(d). Find x such that a(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4728 - 3144. Is u a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 36456 + 9966. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2991 and 9573194?\nAnswer: 28719582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 50 and -3979.5?\nAnswer: 4029.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -97\/5, -2\/3, 0.5, 2\/5, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 15*y + 8. Let q be v(-7). Let w(g) = 2*g**3 - 2*g + 3. Let c be w(2). What is the greatest common factor of q and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - l + 3 - 1)*(5*l + 2*l - 2*l) to n + p*l + s*l**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 13102 - 6546 - 6550. Let d(s) = -2*s - 3. What is -5*d(m) - 3*q(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -ea5f7f?\nAnswer: ea5f7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 2 f when four letters picked without replacement from {b: 1, h: 1, m: 2, f: 2, a: 1, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/18*-11 + 1. Let v = -1 + 13. Let x = -7 + v. What is the biggest value in o, 4\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 600 - 148. Calculate the remainder when p is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2436 + -42.7564. Which is the closest to 1? (a) -0.2 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 6*v**2 - 14*v - 13. Let i(u) = -u**2 + 1. Let m(a) = -4*i(a) - x(a). Let k = 17 + -6. Is m(k) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 divided by -6463?\nAnswer: -277\/6463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p - 64. Let i be b(11). Solve -3*l + 6 = 2*d, -5*d - i*l + 2 + 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 14 (b) -5.9 (c) -2\/9 (d) 1\/3 (e) 21.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 603*z**2 - 18*z + 72. What is the tens digit of u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7 + 376*i**2 - 3*i + 0*i**3 + 2*i - 2*i**3 - 390*i**2 + 13*i. Determine o(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2606956?\nAnswer: 2, 11, 179, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -221020 (base 3) to base 8\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*d + 670*d + 10 = -5*i, -3*d - 9 = 2*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, m: 3, g: 1, a: 3}. What is prob of sequence mima?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179145929\/386166 - -5103\/11. Let u = v - -921539\/228189. What is the common denominator of -22\/5 and u?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 7, j: 6, l: 6}. What is prob of sequence vpvv?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -27. Suppose n*j = 3*l - 2371, -802 = -l - 0*j - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222394481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1081 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.230551 rounded to two decimal places?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 128*g**3 - 17 + 12.\nAnswer: 128*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 3*z**2 + z + z**2 + (0*z**2 + 3*z**2 - 2*z**2)*(4 - 4 + 3))*(-15*z - 9*z - 25*z)*(4 + 0 - 5).\nAnswer: 98*z**3 + 49*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let j(w) = -6651*w**2 - 2*w - 2. Calculate j(v(m)).\nAnswer: -26604*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 0)*(5 + i**2 - 5)*(-79*i - 76*i + 924 + 243*i - 84*i) to the form f*i**3 + h*i + m + q*i**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 777 = 881 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*m - 1188, -m = -7*h + 6*h + 590. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 4*c**4 - 2*c**4 - 2 + 2*c**3 as g + m*c + l*c**2 + i*c**3 + p*c**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53462, -84095, -114728, -145361?\nAnswer: -175994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75.4648 - -0.4948. What is d rounded to zero dps?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*w + 94, -4*m + 8 = -0*m. Let u(l) = w - 266*l - 49 + 26. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2513*d**5 + 23685*d - 15043*d - 12563*d wrt d?\nAnswer: -50260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) - (-86)\/4. Let f be -3 + 2 + 1 + 6. Let h = 12 + -8. Solve 7*d + f = b + h*d, 4*b + 3*d = -n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 39.587796 nanoseconds?\nAnswer: 0.00000000001099661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -365?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1814059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -247, -5, -7 in ascending order.\nAnswer: -247, -7, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - 125\/(-10). Suppose -h = 3*i - 24. Suppose 5*k + 98 = i*t, 4*t + 4*k - 76 - 4 = 0. Calculate the least common multiple of 8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436131 rounded to the nearest one thousand?\nAnswer: -436000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x - 26*x + 130 + 328 - 9*x. Let u be y(11). Suppose -5*w + 6 = -29. Is w greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 2*w + 8. Let o(z) = 4*z**2 - 3*z + 8. Let v(y) = -3*c(y) + 2*o(y). Differentiate v(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2158.8 - -2159. Which is the nearest to 0.1? (a) -0.13 (b) 0.5 (c) -2\/21 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine quarters of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/360 - 7*z**5\/120 - z**4\/4 + z**3\/3 + 2*z. Let b(i) be the second derivative of a(i). Let c be b(-6). Sort c, 4, 3.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50448?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 12*l + 4. Let r be (0\/((-15)\/3))\/l. Solve 4*h - h = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijh when three letters picked without replacement from {i: 4, w: 2, h: 2, j: 5}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 215*d - 15. Let c be b(-10). Let n = c - -5335. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 8. Let b be 52500\/y*(-2 - 274). What is b rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.059 - 0.06. What is k rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.652334 centuries in years?\nAnswer: 665.2334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13575*q - 206 wrt q?\nAnswer: -13575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 22 - (17 + 2 - (166 - 152))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1517?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 - 859\nAnswer: -858.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.114691 millennia?\nAnswer: 91.14691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 + 320*a**3 - 404*a**2 - 6480*a = 0. What is a?\nAnswer: -81, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*g + 582*g + 2 = 3*f, -32 = -9*f - g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 281*p**7\/21 + p**6\/30 + p**3\/3 + 204*p**2 + 2*p - 23. What is the second derivative of j(f) wrt f?\nAnswer: 11240*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**8\/2520 + r**5\/6 - 6*r**2. Let i(t) be the third derivative of n(t). Let w(c) = 3*c**2. What is i(w(u))?\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 13*v**2 - 3*v + 14. Suppose 2*s = 3*h + 17, 3*s - 5*h = -2*h + 30. Let u be r(s). Let w = u + 27. Solve 0 = 3*d + w*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2\/2 - 2*d + 4. Let q be k(-5). Suppose -1 + 4 = q*n. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 24*z - 237. Determine t(-13).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-18) - 1910\/(-45). What is the highest common factor of 12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442713 is divided by 420.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 725 - 716. Solve -21 - u = -6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 26*m - 28*m + 85002, 4*m + 2*z = 170028. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9 - (5\/(-10) + 98\/(-12)). Suppose 0 = -3*c + 4*c - 140. What is the greatest common factor of c and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-6) + 4\/(-6). Let v be ((-12)\/8)\/(1\/m). What is the derivative of -2*u**2 - u**2 - 1 + v*u**2 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4817 less than -0.95719276?\nAnswer: 4816.04280724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/2 + 303*i**2 - 1872*i = 0. What is i?\nAnswer: -208, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/184 + (-8)\/(-92). Let f = -11 + 10. Let d be (f - 27\/(-15)) + 0. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 8 = 5*v + 11, 0 = -3*x + 3*v + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 2, 27, 496 in ascending order.\nAnswer: -137, 2, 27, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 405.6315ug?\nAnswer: 0.0004056315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*5\/4 + (-4995)\/(-18). Calculate the highest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -170981? (a) 12 (b) -5 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i - 50. Give f(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-45))\/((-728)\/252)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuaa when four letters picked without replacement from aurureaeuaere.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v = -19*v + 25247 - 33590 for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 7) + -2 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8906*y + 3*d = -8911*y, 3*d = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*u - 51006 - 66562 = 0. Is 44 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142248 divided by -3?\nAnswer: -47416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2\/7 + 406876656*z\/7 - 13795717766478528\/7 = 0.\nAnswer: 67812776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w**3 + 273*w**2 + 33*w - 27. Calculate u(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/3 - 22*l**2 - 118*l\/3 + 62 = 0.\nAnswer: -31, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1161*q. Let b be o(-3). Let w = b + 59. Suppose w = 2*y + 1152. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63628 bigger than 63627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551 by 3265.\nAnswer: 551\/3265","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -176, -338, -500?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 5*g**5\/6 + 5*g**3\/2 + 27*g**2. Let b(o) = 7*o**2 + 2. Let r(f) = 15*b(f) - 2*z(f). Let q(s) = -2*s. What is r(q(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 18. What is n(6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 8 - 14*d + 8*d + 28*d - 8.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 8 + -9 + (2 - (-11 - -12))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1 + 13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 + 147 = 2*z + 4*i, 5*z = -3*i - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 + 5*q + 3. Suppose 51*x + 4 = 55*x - 4*s, -21 = 3*x + 5*s. Calculate c(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -8, x + 48 = -2*k + 3*x. Let m = k + 22. Suppose -8 = -o + m. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3228 and 11343999?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v - 1. Let q(p) = p. Let o(a) = i(a) + 6*q(a). Let y(w) = 25*w + 3. Let k(b) = 9*o(b) + 2*y(b). What is the units digit of k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 + 47*l - 3. Let y(o) = -2*o. Give y(b(f)).\nAnswer: 10*f**2 - 94*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:20 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k**3 + 2*k**3 - 4*k**3)*(-642 - 1089 - 26 - 784) in the form l + i*k + n*k**3 + d*k**2 and give n.\nAnswer: -12705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 139 + 249)*(6*b - 3*b + 0*b)*(-2*b - 3 + 3).\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*z = -73*z - 12, 9 = -2*g - 5*z. Let t be -3*((-16)\/12 - 0). Suppose -2*i - i = 2*u, u = -i. Solve i = -t*y + g*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u - 88. What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 - (8 + -4)) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2519, 2535, 2563, 2609, 2679?\nAnswer: 2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 13*t + 5*l + 7 = 0, -3*l = 5*t + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*k - k**3 + 0*k**3 - 267*k - 356*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 83. Let w(m) = 5*m**2. What is w(j(c))?\nAnswer: 5*c**2 + 830*c + 34445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose -2*a - 12 = -8*a. Solve -2\/9*i**n + 0*i**a + 0 + 0*i - 2\/9*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = k. Let v be k\/1*5\/5. Let j = -1 + 0.9. What is the second biggest value in j, v, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 - 278 = c. Let t(z) = -228*z + 360. Let r(h) = 57*h - 90. Let d(l) = c*r(l) - 5*t(l). Find the first derivative of d(g) wrt g.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + d + 0*d)*(4*d - 6*d + 4*d) - 305*d**2 - 113*d**2 - 699*d**2 in the form y + a*d**2 + u*d and give a.\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let h(q) = q. Let m(d) = -d + 16. Let r be m(17). What is r*g(a) - h(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppwwppppwppwwpppp. Give prob of picking 1 w and 2 p.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2*q - 85. Let u be m(-21). What is the units digit of ((-1)\/1 - 5) + u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 divided by 3.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1666331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -97, -1\/4, 0, -79355 in increasing order.\nAnswer: -79355, -97, -1\/4, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 679.000004414 + -679. Round q to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Suppose -m + 26 = g, c*m - 3*g - 64 = -2*g. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + f**2. Let c(b) be the third derivative of -b**6\/30 - b**5\/20 + b**4\/24 + 3*b**2. Let g(m) = -2*c(m) - 10*v(m). Factor g(s).\nAnswer: -2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - 5. Let i(g) = 3*g - 6. Let t(h) = -2*h + 3. Let l(r) = 4*i(r) + 7*t(r). Let j(m) = -3*k(m) + 5*l(m). Let w(o) = 2*o. Determine w(j(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -17*s**6\/10 - 7*s**4\/4 - 24*s. Find the third derivative of g(m) wrt m.\nAnswer: -1224*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 25336572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + 1 + (35 - 109) + 17\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyyd. Give prob of picking 1 d and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 2050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4 + 14*x**3 + 9094*x**2 - 36462*x - 45540 = 0. What is x?\nAnswer: -66, -1, 5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**2 + 5*z - 27. Determine i(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -351391 (base 12) in base 8?\nAnswer: -3200735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 74*c - 1275 - 323 = 0 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -25, -34, -65, -124, -217, -350, -529?\n\"Answer: -d**3 - 2*d**2 + 20*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(539)*2 + 3 + sqrt(539) - 4*-6*(2 + sqrt(539)))**2.\nAnswer: 19278*sqrt(11) + 395532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 64*v**2 - 224*v. Give w(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 9. Suppose 3*d = -10*d + 104. Calculate the remainder when d is divided by a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Suppose 9 + 7 = h + 5*p, -n*h - p + 20 = 0. Suppose 5*d - 12 = s, -2*s - d + 14 = -h. Solve -s = -4*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + 9 + 188\/6. Let t = 47 - f. What is the remainder when 65 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 1000?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -412239075 divided by -3?\nAnswer: 137413025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2875819.\nAnswer: 862745.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 + 22605*d**3 + 67794*d**2 + 45192*d = 0. What is d?\nAnswer: -7532, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196220.4 centuries to years.\nAnswer: 19622040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 - p - 1. Let z be (-1 - (-6)\/(-2))\/(-2). Determine s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/191664 and 5\/30712.\nAnswer: 66890736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -171. Let r = i + 71. Which is smaller: r or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v**2. Let n(y) = 1 + 7 - 8 - 2*y. Calculate s(n(z)).\nAnswer: -68*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 40880060.\nAnswer: 367920540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-3)\/(3\/(-1)). Suppose -9 = -b - v*b - 2*l, -15 = -5*b - 4*l. Suppose 2*s - 1 = b. What is the lowest common multiple of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16876 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*5*(-10)\/(-25). Let y be b*1*(-6)\/8. Suppose -150192 = y*v + 359808. What is v rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(2\/5))\/m))**(-1\/6)*(((m**7*m)\/m)\/m)**(-4\/5) assuming m is positive.\nAnswer: m**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*m + 83 - 30, -3*d + 119 = 4*m. Suppose 3*b + m = 2*s - 47, -63 = -2*s + b. Let r = -13 + s. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -5*(-3*(sqrt(112) + sqrt(112) + 0))**2 + 3).\nAnswer: 100765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*h + 88 = -d, -5*d + 180 = -5*h. Suppose a - 35 = d. Let y be (-2)\/(-20)*a\/30. What is the nearest to y in 0.5, -3\/4, -15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 878, 3671, 9304, 18725, 32882, 52723?\nAnswer: 79196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182079990 and 182079990.\nAnswer: 182079990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c**2 - c - 2. Let r be (6\/4)\/((-3)\/4). Let v = 0 - r. Let l be i(v). Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + 36\/8. Suppose 5*m - l*d - 35 = -0*m, m + 4*d + 17 = 0. Solve m*j - 3 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 284*v - 275*v. Let x(w) = w**4 - 5*w**3 - 2*w + 4. Let t(p) = -3*p**4 + 15*p**3 - p**2 + 5*p - 10. Let z(n) = v*t(n) + 17*x(n). Factor z(b).\nAnswer: -(b - 2)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 865902.9 weeks?\nAnswer: 8728301232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1937068, -3874140, -5811212, -7748284?\n\"Answer: -1937072*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17*2\/120 - 2\/8. Let t(c) be the second derivative of -y*c**5 + 1\/9*c**3 + 0*c**2 - 2*c + 0 + 0*c**4. Suppose t(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/1*(-2)\/4. Let f(i) = -i - 1 + i**2 - m*i + 8*i. What is the remainder when 31 is divided by f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/2075 != -1656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4209?\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 6165 and 6169 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2875 - 2872. Let s(a) be the third derivative of -1\/4*a**4 + 2*a**2 + 0*a + 0 + 3\/2*a**v + 1\/60*a**5. Suppose s(f) = 0. Calculate f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 103 = 401. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 14 = -4*i, 0*d = -d - 5*i + 27. Suppose d = h - 1. Calculate the lowest common multiple of 7 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -25*b + 15. Let l = -16 - -41. What is the greatest common divisor of l and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*k + 0*k**2 - 99*k - 17*k**2 + 288*k - 99*k.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-1 - (-22 + 7 + 8 + -6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 58872\/(-55)) + (-4)\/10.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l - 54. Let v = l - -76. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 562, 1255, 2076, 3025?\n\"Answer: 64*a**2 + 501*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1973*k**3 - 15*k**2 - 30*k - 5. What is the tens digit of s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = 27*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159509 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, d: 14}. Give prob of sequence dwwd.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -6871.\nAnswer: 7\/6871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1471*s**2 - 122515*s**2 - 193955*s**2.\nAnswer: -317941*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36594, 293662, 991420, 2350212, 4590382, 7932274, 12596232, 18802600?\n\"Answer: 36724*a**3 + a**2 - 3*a - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(4 - 4 - 2*c**2 + (0 - 2 + 3)*(0 - 2*c**2 + 0) - 9*c**2 + 4*c**2 - 4*c**2)*(2*c - 4*c + 0*c).\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*y**2 - 573*y**2 - 2*y + 1143*y**2 - 14*y**3 + 2*y.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 67. Suppose a - 302 - 1233 = c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 5. Let j be t(-5). Suppose j = -b - 4*o - 12, 3*b + 0*o - 3*o = 9. What is the nearest to 4 in -0.1, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14244 - -14239. Put 4, -2, -1, x, -17 in descending order.\nAnswer: 4, -1, -2, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/5, -1, 0.3, 16.28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -2\/11 (c) -110 (d) -2\/15 (e) 0.2 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -76. Let g = 195 - 168. Let j = t + g. Which is the second smallest value? (a) 3\/4 (b) j (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 801\/7 - 115. What is the nearest to -0.1 in s, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257117?\nAnswer: 7, 23, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 137324 = m, -207*f + 208*f = 5*m + 137328. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18246632 is divided by 1331?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 24 - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u + 4. Let f be r(0). Suppose -f*l + 5 = 3*q - 20, -5*q + 3 = -3*l. Let c = -8 - -41. What is the greatest common divisor of c and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2, 0 = k + 2*z + 3*z - 9. Let g(n) = 5*n**2 - n**3 + 7*n - 5*n + 2*n - 2. Calculate the remainder when g(k) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -72362?\nAnswer: 72365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29916115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -201 - 129 + 232 = 2*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(171) - 5*2*sqrt(171))**2 + 0.\nAnswer: -83106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -5*z**3\/6 + 35*z**2\/2 - 8*z. Let w be k(7). Let u be (0 - w)\/(-3 - 2*-2). Solve -5*b = -4*j, b - 21 + u = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116405280 divided by -13740?\nAnswer: 8472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glbbevegbjbv. What is prob of sequence lbg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 711*s**4 - 1431*s**3 + 717*s**2.\nAnswer: 3*s**2*(s - 1)**2*(s + 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -46 + 54 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.2 - -5. Let m = -23 + 26. Let v = m + s. Which is the second biggest value? (a) 0.5 (b) -1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 808 + -451. Suppose a = 13*n + 45. Solve o = -4*d - 0*o - n, -16 = 4*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7479 - 2865. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o + 18*o - 134 = -5*o + 405 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4246832, -4246826, -4246820, -4246814, -4246808?\nAnswer: -4246802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, -0.1, 0.72, -71?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40090, 40064, 40038, 40012?\n\"Answer: -26*c + 40116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 4) + -7*(-5 - -4). Find the first derivative of h*o + 44 + 139*o**3 - 3*o - 41 wrt o.\nAnswer: 417*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 8*k - 36 + 52 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(1 + sqrt(832))*-5*2 - ((sqrt(832) + 0)**2*4 + sqrt(832) + 0 + (sqrt(832)*2)**2)*3).\nAnswer: -19908 + 456*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36*(-38)\/(-152) - (-74)\/(-8))*0. Let r(a) = a + 6. Let i be r(-4). Solve 0 = 2*x + p + 5, l*x + i*x = p - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26894 (base 10) to base 7.\nAnswer: 141260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053 divided by 257.\nAnswer: 1053\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4284 and 5117?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0)\/m**(21\/5)*m*m**(-21)*m**(1\/8) assuming m is positive.\nAnswer: m**(-923\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - 0.35. What is the third smallest value in 0.5, -10\/7, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -24*v + 171. Let o be y(7). Solve -5*a - 30 = -5*l, -2*l - 10 = 3*a - o*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 0. Let l = -697 - -697. Which is the biggest value? (a) k (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -20. What is the first derivative of 5 + 44*o**3 - 50*o**3 - g wrt o?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/813 in -23, 0.18, 4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11269 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1086655 (base 11) to base 2\nAnswer: -111001111001111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 14. Let j be z(6). Suppose 4*q - j = 6. Suppose 0 = -q*k - 1 - 5. Let m(b) = b**2 + 4*b - 1. Calculate m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -594, -673, -804, -987, -1222, -1509, -1848?\n\"Answer: -26*z**2 - z - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -23, 1\/7, -2, 3, 0.06 in increasing order.\nAnswer: -23, -2, -0.13, 0.06, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 3*v - 1. Let z = -12 + -8. Let u be z\/((-4)\/3 + 4\/12). Suppose -7 = 5*r - 3*n - u, -n = r - 1. Determine s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16818 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 5938?\nAnswer: 47504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -534000 to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69559257 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - 24052?\nAnswer: -24073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*q + 25*q - 9*q + (0 + 0 - q)*(0 + 1 - 3) to a + u*q and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -1265, -2885, -5165, -8111, -11729?\nAnswer: -16025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*r - 15, 7*p + 5*r = 3*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -16*r + 3. Let x(s) = -1. Determine v(y) + 5*x(y).\nAnswer: -16*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255124.41 months to years.\nAnswer: 21260.3675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 2, f: 4, g: 7, k: 2}. What is prob of sequence gfo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4487 is divided by 198?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23712?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615374421.\nAnswer: 43, 1879, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8858 divided by 1?\nAnswer: 8858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610305733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 724318 and 6118.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round -619.74 to 0 dps.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (0 + 34 + (-12 - -10 - 11)) - -75?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 61852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 + 5*m + 1. Let p be l(-5). Let r be (1 + p)\/(10\/20). Solve 2*v + 18 = -6*s + r*s, 2*s + 22 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 9 - 7)*(1 - 4 + 2)*(2080 - 2080 + 24*u) to t + m*u and give m.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -77*a**3 - a**2 - 7*a + 9. Let m be v(1). Let h = -68 - m. What is the least common multiple of 4 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 414304\/19 + -21811. Which is greater: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -591.460647 to 2 dps.\nAnswer: -591.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1, 3, 913988, 2 in decreasing order.\nAnswer: 913988, 5, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2296 = 5*z - x, -1392 = -3*z + 3*x. Suppose -722 - z = -7*l. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Let n = w + -2. Suppose 5*k - 73 = n. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeemfwzffw. What is prob of picking 1 e, 1 m, 1 w, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5254149 and 40338.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -110338.\nAnswer: -5\/110338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74643817 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myyv when four letters picked without replacement from vvmyeyevyymvvveyvvvv.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 5 (b) 3 (c) 1 (d) 2217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 898, 900, 902, 904, 906?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11311, 22645, 34007, 45403, 56839?\nAnswer: 68321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 1 + 239. Let f = c - -23. Factor 28*i**3 + 19*i**2 + 30*i + f*i**2 + 4*i**4 + 50*i + 32.\nAnswer: 4*(i + 1)*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 5122 - 4536 = 129*u - 9347 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + (2 - 5) - (304 - 317).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 1. Let s be d(1). Suppose -m - 2*m + 6 = 0. Solve -q = -m*q + s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -311. Calculate the remainder when i is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -9.5. Let p = t + 10. Which is the smallest value? (a) -2\/7 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3 - 11 + 40*s.\nAnswer: 40*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 less than 33?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 11*s - 13. Suppose -102*l - 2*z = -107*l + 35, l - 14 = -z. What is r(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -973 - -3454. What are the prime factors of 10\/40 + p\/12?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 831 and 3?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/15)*l**(-1\/2))**(-21\/4))**(4\/5) assuming l is positive.\nAnswer: l**(133\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:10 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {n: 1, f: 1, w: 1, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 9598*n\/11 - 9620.\nAnswer: 2*(n - 4810)*(n + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53352581?\nAnswer: 31, 499, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/24 and (1\/(-4)*2)\/((-210)\/(-830)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 11*r - 281*r**2 + 280*r**2 - 5*r + (3*r - 2*r - 4*r)*(-r + 2*r + 0*r).\nAnswer: -4*r**2 + 6*r + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10659.\nAnswer: 3, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 320208*g - 6408322704 = 0. What is g?\nAnswer: -40026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/5 + 138*l**4\/5 + 782*l**3\/5 + 1662*l**2\/5 + 304*l + 504\/5 = 0. Calculate l.\nAnswer: -63, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/5))\/(l*l\/l**(-1)))\/(l\/(l*l**(-4\/7)*l)*l*(l\/((l**(2\/27)*l)\/l*l))\/l) assuming l is positive.\nAnswer: l**(-848\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 3*n + 0*n)*(-n + 0*n - n + (-2 + 0 + 1)*(-2*n + 3*n - 3*n) + 3*n + 4*n - 6*n) - 6 + 6 - 6*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 67, 5\/3, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 49784663?\nAnswer: 49784663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 19\/110 (c) 2 (d) -12 (e) 2\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**5\/140 + h**4\/84 - 10*h**3\/21 - h + 300. Determine g, given that x(g) = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30481266 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320 by -16.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 686 + -105645\/154. Calculate the common denominator of 95\/42 and z.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 87*l**2 - 3*l**2.\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20658 - -145706\/7. Let p = q - 4953\/28. What is the common denominator of 17\/324 and p?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 0.7?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-2))\/(16\/(6 + -14)). Let n(b) = 4*b**3 - 3*b**2 + 5*b. Is n(m) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6035, -6043, -6055, -6071, -6091, -6115?\nAnswer: -6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) + (-36)\/(-28). Let h(v) = 12*v**2 + 1. Let n be h(z). Let p = n + -9. Which is the nearest to -2? (a) p (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81 - b81a3?\nAnswer: -b8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6357*c - 6347*c + 60 = -2*u, u = -c - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12940*a - 1302. Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:08 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 5:36 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 3568*y + 149784\/7.\nAnswer: 2*(y - 12482)*(y - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + -14 + (-5 + 9 - -6 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l. Let f be (-1)\/((-1)\/((-10)\/(-1))). Let q(p) = 13*p - p**3 - f*p + p**2 - p**3 - 8*p. Calculate -q(c) - 5*s(c).\nAnswer: -3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1413*b*q**2*w**3 + 311*b*q**2*w + 9*b*q*w**3 + 2998*b*q*w + 53*q*w**3 + w**2 wrt w?\nAnswer: 8478*b*q**2 + 54*b*q + 318*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24624 = 48*s - 24*s. Is 74 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + 6924.3196465569.\nAnswer: 6923.2196465569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.311 - 22.\nAnswer: -22.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {d: 8, v: 3, r: 3, g: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4674\/8 - -2) + 7\/((-280)\/(-30)) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120020100220002 (base 3) in base 5?\nAnswer: -4033100144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 208 = -p. Calculate the lowest common multiple of 5 and p.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -0*o. Suppose o*j - 7*j = -60. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479.\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 39*c + 639. Calculate i(73).\nAnswer: -1843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 + 3 = 0. Calculate the smallest common multiple of (-4 + b)\/(15\/(-20)) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57971299.\nAnswer: 19, 131, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36364025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20570623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, o: 2, b: 4}. Give prob of sequence ow.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = -42*l + 47*l. Let k = l + -103. Suppose -k*a - g + 20 = -5*g, 2*a + g = 0. Solve -3*y - 5*z - 4 - a = 0, 5*y - z = 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1719036\/15)\/(3\/30). Suppose -216024 = -3*r - w. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907445?\nAnswer: 5, 19, 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -7, -5, 0.1, -1.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**(11\/3))**(-50) assuming s is positive.\nAnswer: s**(550\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.25 minus -581358321?\nAnswer: 581358314.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -795*r**3 - 8894047*r + 8894047*r + 1395 wrt r?\nAnswer: -2385*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1050129.5517 and -1692.\nAnswer: -1051821.5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 18*v**2 + 8*v - 9. Let i be w(-6). Is i*190\/105 - (-6)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/143 and -28\/1197911?\nAnswer: 1197911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -613*l**3*y**5 + 2*l**3 - 3*y**2 + 16 wrt y.\nAnswer: -36780*l**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9400012?\nAnswer: 2, 281, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(-15)\/(-10)*40. Let t = 182 - i. Round t to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 + -7 + 0 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 10000000100111?\nAnswer: 10000001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -480, -343, -206?\n\"Answer: 137*j - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in -0.2, -46, -5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((11*6\/1320)\/((32\/15)\/(-4)))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + 2*o**2)*(0*o - 6*o**2 + 0*o + (-2 + 3 - 2)*(o**2 + 3 - 3) + 183*o**2 + 204*o**2 - 127*o**2).\nAnswer: 506*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*z = 4*z - 71, z - 25 = -j. Solve 0 = -4*o - o - t + j, 0 = 3*o - 4*t - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**2 + 149 + m**3 - 21*m**2 + m**3 - 25*m**2 - 149.\nAnswer: 2*m**3 - 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 158a73 + 1a?\nAnswer: 158a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463 - 363. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 17*c - 14. Let v be z(-16). Suppose v*h - 6*h + 24 = 0. What is the common denominator of -97\/4 and ((-15)\/h)\/(6\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 12*v + 6. Let r be g(-12). Suppose 9*a - 15498 = r*a - 3*t, 0 = -3*a + 5*t + 15506. Is a 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 4:50 AM and 11:01 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(0*q**2 + 0*q**2 - q**2)*(-2 + 5 - 4) + (-q**3 - 4*q**3 + 4*q**3)*(0 + 0 - 3) + 19*q**3 - 6*q**3 + 3*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 2*c)*(c**3 - 2*c**4 - c**3) + (-5*c**3 - 4*c**2 + 4*c**2)*(12 - 12 + 8*c**2).\nAnswer: -44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578 = -0*g - 2*g. Let m = 1008 + -684. Let k = m - g. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*k + 12 = 0, -43*k - 11 = -m - 50*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((-12)\/10)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1)\/(-22))\/(11\/(-22))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3 - 0) + 1. Let g = -1 + l. Let v be -2 + 1 - 89997 - g. Round v to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14320.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -7\/533 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/60*-15 + -27.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 13. Let g = -12 + 18. Suppose 3*s = s - 4*f - g, 0 = s - 3*f - t. Let p(m) = -m**2 + 3. Give p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14370245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02016285511 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l**2 + 2. Let t be 6\/4 - (-4)\/8. Let m(i) = 23*i**2 - 8*i**2 - 14*i**t. What is z(m(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yre when three letters picked without replacement from {q: 1, r: 5, y: 2, e: 4, u: 2, s: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (-42 + 38 + (1 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15011216 divided by 38\nAnswer: -395032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 817, 819, 823, 829, 837, 847, 859?\n\"Answer: d**2 - d + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5479 = -4*w - f, -29*f + 25*f = -12. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -338, -779, -1410, -2237, -3266, -4503, -5954?\nAnswer: -7625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f + 1. Let d be 2\/6 - 1\/3. Let w be g(d). Let u(q) = 19*q**2 - 3*q + 2. What is the units digit of u(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -723 + 722. Let h = -3 + 4. Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/4 + 6388057*n\/4 - 3194029\/2 = 0.\nAnswer: -6388058, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 5917552*c\/7 - 4377177709088\/7.\nAnswer: -2*(c - 1479388)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 61476. Let d(k) = -4*k. Determine z(d(w)).\nAnswer: 8*w - 61476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/((-9)\/(-6))). Is d less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*m + 6*m. Let d = -12 - -17. Let b(y) = -y**2 + 4*y + 7. Let j be b(d). Is m less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-810)\/69*29118\/(-3165)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41602597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*f + 14*a - f + 1 wrt a?\nAnswer: 4*a*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*36\/(15\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 68*f**2 - 18*f + 9. Let k(o) = 34*o**2 - 9*o + 5. Calculate 9*k(h) - 5*l(h).\nAnswer: -34*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-3*b + 0*b + 4*b) - 4*b + 2*b - 3*b - 2*b + 5 - 5 + (0 + 1 + 0)*(-5*b + 4*b + 2*b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55617991 is divided by 167.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.67 - -23.83. Let v = z - 24. What is the second biggest value in v, 2\/7, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58 and 60.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -28*i - 61. Let k(c) = -7*c - 15. Suppose y + 35 = 33. Let t(z) = y*j(z) + 9*k(z). Differentiate t(m) wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/5 - 421758*d**2\/5 + 4446953088*d + 4447037440 = 0. Calculate d.\nAnswer: -1, 105440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.73234 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 10*n**2 - 10*n + 2. List the prime factors of o(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9.7 (b) -1\/5 (c) -16 (d) -4 (e) -1 (f) 35338\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4619 + 19*m + 6550 - 1937.\nAnswer: 19*m + 9232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/32)*b*b*b**(39\/2))**31 assuming b is positive.\nAnswer: b**(21359\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**44*g*g*g*g**41\/g)\/(g*g\/g**(-47)*g*g*g*g*g*g**(-1\/24)) assuming g is positive.\nAnswer: g**(817\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19822.\nAnswer: 2, 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 4*k + 2. Let b(d) = -3*d**2 - 2*d + 1. Let p be b(1). Let q be j(p). Calculate the highest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(9\/1*4\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3*24\/540.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2287, 4571, 6855?\n\"Answer: 2284*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 9*n - 4. Let z(m) = 6*m**2 + 21*m + 7. Let b(r) = 7*w(r) + 3*z(r). Let s(v) = 5*v**2. Calculate s(b(i)).\nAnswer: 45*i**4 + 210*i**2 + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 1) + 48 + -57 + -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r + r**2 + 9*r - 3*r + 21)*(-3 + 5 - 3).\nAnswer: -r**2 + 2*r - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200))**2*6 - (sqrt(363) - (sqrt(363) + 0 - sqrt(363)))*6.\nAnswer: -66*sqrt(3) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/25)\/(7\/30). Let w = -43\/21 - m. Sort w, -0.2, -0.4 in decreasing order.\nAnswer: -0.2, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2365*w**2 - w + 1. Let n be f(1). Suppose 0 = 4*y - 2*x - 151 + n, y = -x - 549. Is 23 a factor of ((-2)\/(-4))\/((-6)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1 - 0\/(-2)). Solve 3*z - 5*x = -i + 13, 5*z - 2*x + 7 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.7 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*o**3 - 52*o**3 + 13*o + 20*o + 123*o**3 to v*o + k + d*o**3 + u*o**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48708 and -0.544.\nAnswer: 26497.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3006, -12006, -27074, -48282, -75702?\nAnswer: -109406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 times -0.2?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - 14. Let s be y\/(3 + 130\/(-44)). Is 34 a factor of 3*(-2)\/(-24) + s\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 18 = 2*z, 94*z + 2 = 92*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/2040)\/((-2)\/75)*4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8))\/(36\/30). Let y = -1654 + 1657. Which is the third biggest value? (a) w (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/15 + (-15852)\/2610 + 6 and 151\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/13)\/((p*p\/p**(8\/5)*p*p)\/p)*(p**17*p)**15 assuming p is positive.\nAnswer: p**(17479\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049180?\nAnswer: 2, 5, 11, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92705 is divided by 217.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44493 - -35707. What is a rounded to the nearest 1000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3)\/(0 - 1). Suppose 2*m + o*m = 35. What is the highest common divisor of m and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655306637 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.113 + 174.113. Let x = -170 + q. Put -2\/11, 0.056, x in descending order.\nAnswer: x, 0.056, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1646, 3300, 4954, 6608?\nAnswer: 8262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/3 + 3357028*d**2\/3 - 6714065*d + 10071102 = 0?\nAnswer: -3357034, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3))**(-2\/17))**(-28\/3))**28 assuming d is positive.\nAnswer: d**(-1568\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 2 c when four letters picked without replacement from {k: 3, y: 12, c: 4, q: 1}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.719724*-0.3.\nAnswer: -0.2159172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 5*i + 4. Let q be j(-4). Which is the nearest to q? (a) -1\/6 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -29 in ascending order.\nAnswer: -29, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q - 3. Give d(-6).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -41*j + 6. Let o be z(-6). Let g be -3 + 1 + 510\/o. Let w = g - 110\/63. Find the common denominator of -69\/2 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126603602 divided by -1889606?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*((-102)\/(-12) - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07327 plus 2?\nAnswer: 1.92673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 15. Let o = 187\/9 - 62\/3. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-5\/3)*d)\/(d*(d*d\/(d*d**(1\/3)))\/d))**(-2))**(2\/19))**(-3\/20) assuming d is positive.\nAnswer: d**(-4\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388451 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/4, 247 in descending order.\nAnswer: 247, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -73461466.\nAnswer: -73461461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 980736 + 144\nAnswer: 980880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 355. What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11936 and 832?\nAnswer: 310336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -9. Let k(v) = -v**3 - 6*v**2 - v + 5. Calculate the least common multiple of k(x) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/60 + (-41)\/(-6). Let b(h) = h**2 - 7*h - 4. Determine b(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 371, 834, 1481, 2312, 3327?\nAnswer: 4526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -891 - -933. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 594.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 535828 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: Add together -0.2 and -0.036054519.\nAnswer: -0.236054519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let z be m(2). What is the remainder when 30 is divided by (1\/z)\/((-1)\/(-32))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = v - 5, 5*v - l + 0 - 5 = 0. Let t(g) = -g**2 + 3*g - 2. Let k be t(2). Suppose k*o - 2*o + 68 = v. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1288 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = -3*o, -o - 1 = 2*x - 5*x. Let c(t) = -2*t - 6. Let s be c(-5). Let a = s + x. Solve -3*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196704 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1250736207 to 3 decimal places.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/5496 and -35\/116?\nAnswer: 159384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-64)*4*1. Sort i, 1, 2.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186*f**3 + 68*f**2 wrt f.\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2909 + -2906. Let c(u) be the third derivative of u**6\/40 - u**5\/30 + 7*u**4\/24 - 5*u**3\/3 + u**2. What is the least common multiple of 10 and c(x)?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(133) - sqrt(133)) + sqrt(133))*-6 + (sqrt(133) + sqrt(133)*-3)*-6 + sqrt(133))\/(-1*sqrt(84)\/(-6*sqrt(972))).\nAnswer: 1026*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*s**3*v - 2*b**2*s**3 + b*s**3 + 188*s**3*v + 501 wrt v?\nAnswer: b**2*s**3 + 188*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 484704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 488 by -2.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let f be x(-14). Let c(k) = k - 9 + 11 + f. What are the prime factors of c(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.97 + 45.57. Round h to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (9 - 5)) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16102.7306 + 16107. Round f to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185*x**5 - 581*x**4 - 952211*x wrt x.\nAnswer: 3700*x**3 - 6972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/21)\/(-1) - 18732\/(-49). Suppose 5*p + y - k = 0, 0*p - 243 = -3*p + 4*y. What is the remainder when p is divided by ((-676)\/(-39))\/((-4)\/(-6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 times 12.2?\nAnswer: 2110.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = 4*g - 138, 2*w - 2*g - 92 = 0. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 113678416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {x: 1, v: 1, h: 1, j: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8*1\/(-30)*(-54)\/12\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/2 - 3*p**3\/2 - 8*p**2 + 34*p. Is w(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 28, 0.11, 1\/2, 2\/23, -36?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5555\/15 - (-2)\/(-3*2)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.53 and -15.\nAnswer: -172.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*y = 6*l - 15, -5*l = y - 18. Suppose 9*r - 300 = l*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j**3 - 3*j**2 - 16*j + 178. Let d(y) = 2*y**2 - 2*y - 5. Give 16*d(s) - 5*w(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose 13 = -l*n + 2*u - 1, 4*u - 20 = 2*n. Sort -3, n, -1 in increasing order.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*g + 1 - 220*g - 7 + 10 + 10 to the form q + j*g and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952 less than 0.15?\nAnswer: -1951.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, -665, -5, -153 in decreasing order.\nAnswer: 1, -2, -3, -5, -153, -665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -18?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2)\/18*-3. Let x be 1*s\/(1\/2). Let n be x\/(-4) - (-2)\/(-8). What is the closest to n in -0.3, -2\/13, 4\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 1. Let x = -2 + 3. Let o = x + 0. Let r(g) = 16*g - 11*g + 0*g + 5. Calculate o*r(l) + 6*z(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 611772, 1223542, 1835312, 2447082, 3058852?\n\"Answer: 611770*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*r**2 - 180*r**2 - 36*r**2 + 47*r**2 - 101*r**2 in the form h*r**2 + g + p*r and give h.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4 + 1 + 4*o + o**2 - 1 - o. Let u be c(-4). Let r(s) = 8*s - 2*s**2 - u*s. Let n(k) = k**2. Give r(n(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from egtmtmmmebettttbte.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1687*n + 14148 - 40384 = 42931 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/(-104) - (-704879)\/13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1.4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -50. Suppose h - 7 = z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-12)*(-68859)\/(-8744)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*v + 19660, 0 = 80*v - 75*v + 4*f - 19660. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**2\/2 - o - 9. Let a be l(2). Is a less than 9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -1*(-1 - -65). Let d be 3*2\/6 + 1. Suppose 0*j - t = -d*j. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 + 5*q + 1. Let s(t) = 33*t**2 + 21*t + 3. Let d(j) = 9*i(j) - 2*s(j). Is d(-2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 7*h - 15 = 0. Let m = 5 - 3. Let i = h - m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 569392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12*x = -550. Let n be (-90)\/x + 1\/5. What is u in -3\/7*u**4 + 0*u**n + 0 + 3\/7*u**3 + 0*u = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, 4, 373097?\nAnswer: 373097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**(-1\/4)\/l*l*l)\/l))\/l**(-1\/3))**(-11\/7))**(11\/4) assuming l is positive.\nAnswer: l**(-121\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/5, -1663, -4 in descending order.\nAnswer: -0.1, -2\/5, -4, -1663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8123 is divided by 3885.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 11. Let x be v(-11). Suppose -5*w - 24 = -m, 0 = -3*w - x*m - 4*m - 19. What is the third biggest value in -1, -2\/19, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 + 5*z + 7. Let c be (-5)\/(-2)*(12 - 14). Determine n(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0 + sqrt(567))*-4)**2 + (1 + sqrt(112))**2 + 3.\nAnswer: 8*sqrt(7) + 36404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1374332, 2748667, 4123004, 5497337, 6871660, 8245967, 9620252?\n\"Answer: -r**3 + 7*r**2 + 1374321*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1, 1175, 5 in decreasing order.\nAnswer: 1175, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k. Suppose -93*h + 86*h + 1393 = 0. Let z(g) = h*g**2 - 104*g**2 - 104*g**2. What is d(z(v))?\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -2*h**3\/3 - 11*h**2 + 32*h + 44. Let c be z(-12). Solve -c*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*j**4 + 67 - 67 - 2*j**4 + 0*j**2 + 0*j**2 + (1 - 1 - 1)*(3*j**4 - 7*j**4 + 3*j**4).\nAnswer: 87*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 600\/(-1650)*-1*99\/126\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 14. Put j, -1\/4, -0.4 in decreasing order.\nAnswer: j, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 16*q**2 - 2*q - 10. Calculate l(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00099888011 rounded to 6 dps?\nAnswer: 0.000999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005825041 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:36 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 161 + 129 = 0. Let c = 50 - h. Let n(s) = -s - 8. Let x be n(c). Which is smaller: x or 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 204560.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 5*b - 15 = -t, -b = 4*t. Which is smaller: -8\/31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*a**3 + 40*a**3 - 193*a**3 + (2*a + 0 + 0)*(0*a - a**2 + 0*a) + 2*a + a**3 - 2*a + 0*a**3 + 0*a**3 - 2*a**3 - 3*a**3 - 2 + 2.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262699, 1050856, 2364437, 4203430, 6567823, 9457604?\nAnswer: 12872761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -11 + 4 + (-4 - (-6 + 12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 1. What is f(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -8*t**2 + 44\/15*t**5 + 4\/3*t**4 + 0*t**3 + 3\/5*t**6 - 34\/15*t**7 + 7\/12*t**8 + 0 + 0*t. Suppose f(o) = 0. What is o?\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 46*s + 3. Let n be 1\/((-16)\/17 + 9\/9). Let c be x(n). Suppose -4*g = g - c. List the prime factors of g.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4367\/5 + -69437\/80. Calculate the common denominator of t and 59\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001151 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2616692 - -57644629\/22. Let a = t - 3519. Find the common denominator of -107\/12 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n\/n**5*n))\/n*n)**4*((n*(n\/(n\/(n\/(n*n**(-4)*n))*n))\/n)\/n)\/n*n**(-1\/14))**(23\/5) assuming n is positive.\nAnswer: n**(5129\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31890 = 1443*z - 380*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80\/11 + -82\/11. Let b = 0 + -3. What is the second biggest value in o, 1\/3, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 2*l**2 - 5*l**2)*(-217*l - 69*l - 51*l + 2*l - 3 + 3 + (3 - 2 + 0)*(-3 + l + 3)).\nAnswer: 668*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 0.3, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 61*z - 36. Let o be t(60). Which is greater: o or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1381 = -y, -539*y = -3*q - 543*y + 2054. Solve 9*c - q = -703 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 + 2.6. What is the nearest to -1 in x, -9, -2, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/2 in 4, -6, 3, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 948639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2786 is divided by 155?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -31*z + 1312. Let k be g(40). Calculate the highest common divisor of 840 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5703 - -5702.34885. Let a = q + 0.662. Round a to 4 decimal places.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121 from -895221250170.\nAnswer: -895221250049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 44009949*c. Let o(v) = 29*v**2. Calculate x(o(g)).\nAnswer: 1276288521*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*k + 20, -2*a + 2*k = 6*k - 10. Let t = a + 0. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 1808.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292229927 + -436977.\nAnswer: -292666904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 864.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.699 - -54.941. Let m = w - 0.64. Let f = m + -54.9999943. Round f to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 2. Let w be b\/(1 - 2\/(-3)). Let x = -4 - -4. Do w and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/13))*c*c)\/c*c*c**5)**(-13\/2) assuming c is positive.\nAnswer: c**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037119417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 6*t**2 + 8*t - 3. Suppose -7*z = -6*z - 35. What is the remainder when z is divided by f(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*s + 9*s - 5 + 1.\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1200200?\nAnswer: 1200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -37, -5, 59, 155, 283?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) - (sqrt(77) - 3*sqrt(77))))\/((sqrt(275) - sqrt(275)*-1) + sqrt(11)).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22089 + -22062. Let k(b) be the first derivative of -38 + 0*b**2 - r*b - 20\/3*b**3. Differentiate k(f) with respect to f.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 3*q**3 + 3 + 3*q**3 - 5*q**3 - 42*q + 28*q in the form h*q + f + w*q**3 + a*q**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103703393?\nAnswer: 2213, 46861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let o(i) = 2*i + i + i - 6. Let x(u) = 5*c(u) - o(u). Is 2 a factor of x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10083080 divided by 720220\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.98, -1\/3, -0.05, 0.5 in descending order.\nAnswer: 0.5, 0.1, -0.05, -1\/3, -0.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34013330 (base 5) to base 2.\nAnswer: 1001000101111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r - 4*r - 56 - 28420*r**2 + 28421*r**2. Let b be k(-15). Solve 5*l - b + 3 = -q, -q + l - 5 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 5*b + 3*b)*(-3 + 4 + 2 + (2 - 3 + 0)*(-4 + 0 + 5) + 1 + 4 - 2 + (2 - 1 + 0)*(2 - 3 - 1) + 0 + 1 - 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/((-3885)\/(-819))*(-3)\/((-36)\/20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295\/1784 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000092 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 3)\/((-1)\/4). Suppose 6*n = a*n + 10. Suppose -n*q - 5*s - 5 = 0, 5*s = -3*q + 4*q - 29. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (3 - -2) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 1854.\nAnswer: 148320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*l + 121*l + 30818 = 0. Calculate the remainder when l is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - -1) + (-47 - (-43 + 29 + -37)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3\/6 + 4*a**2 - 1076*a. Determine y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -282 - -110. Let k = g + 241. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 9*y - 23240 = 0. List the prime factors of y.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107854 + 242?\nAnswer: -107612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.6 - -7.1. Let u = 35\/6 + -6. Put -1, a, u in decreasing order.\nAnswer: a, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2177, -8012, -17829, -31622, -49385?\n\"Answer: j**3 - 1997*j**2 + 149*j - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -163246 (base 7) in base 3?\nAnswer: -1122102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/5)\/(450\/(-1500))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (819\/(-182))\/((-56)\/224).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 156, 544, 1304, 2562, 4444, 7076?\nAnswer: 10584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 30*o. Let g(d) = 2*d - 42. Determine g(q(x)).\nAnswer: 60*x - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 19*l - 35. Give s(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*k + 4*h + 2, -1 = 2*k - 3*h. Let q be 42\/24 + 1\/(-20)*k. Factor 4\/11 - 2*w**3 - 14\/11*w - 40\/11*w**q.\nAnswer: -2*(w + 1)**2*(11*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.81 + -0.8. Let z = -3.008 - -0.008. Let v = 3.3 + z. What is the nearest to 1 in 1, l, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:16 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004843 rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 67*r - 7 - 15 - 780*r - 41*r to b + m*r and give m.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 24*x**3 + 3*x + 4*x - 229*x**3.\nAnswer: -205*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109 - 23 + t + 14*t + 22 + 1667*t**2 wrt t?\nAnswer: 3334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxoxoooxxxoxooooto. Give prob of sequence xo.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1283, 2570, 3857, 5144?\n\"Answer: 1287*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-1 + -2 + 40. Let z be 3297\/n + (-1)\/5 + -3. Let p = -96 + z. Put p, -4, 0.4 in descending order.\nAnswer: 0.4, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65562349, 65562361, 65562387, 65562433, 65562505, 65562609, 65562751?\nAnswer: 65562937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9660554 and 3084401?\nAnswer: 12744955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561757237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daxkdvxsdsaskds. Give prob of sequence kvks.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwbeexrerbebrbwrebmb. What is prob of picking 1 x and 1 w?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7314 divided by -159.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 937352, 937353, 937354, 937355, 937356, 937357?\n\"Answer: h + 937351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = 33. Let o(k) = -6*k - 2 + c*k + k. What is o(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/45*(-6)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51915 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 7*p**2 + 8*p + 8. Let d(c) = 5*c - 2. Let o be d(2). Let s be u(o). Suppose 0 = i - 3*i + s. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*w**2 + 126*m**2 + 3*m*w**2 + 5*w**5 - w wrt w.\nAnswer: -2*m**2 + 6*m + 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*f**2 + 46*f**2 + f + 19 - 20 to c + z*f**2 + y*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1211*h**4 - 974*h.\nAnswer: 14532*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -60279 >= -49706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 522.39 times -0.147\nAnswer: -76.79133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 36, -b + 546*m - 544*m = 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/20 - d**4 - 13*d**3\/6 + d**2 - d. Let z(f) = -91*f - 15912. Let i be z(-175). Calculate c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*x**2 + 1735*a**3 - 2*a*x**2 - 19887*x**2 - 40*x wrt x.\nAnswer: 4*a**3 - 4*a - 39774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -486.23996 + 61.\nAnswer: -425.23996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-78)\/(-12) + -5)*-8. Suppose g*c - 84 = -i, 8*i - 21 = -c + 3*i. Which is bigger: 32 or c?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 323, 1426, 2531, 3638?\n\"Answer: q**2 + 1100*q - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Suppose 9*q - 4*q - 5*r - 40 = 0, 2*q + 9 = -3*r. Solve q = -2*i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - 4\/5. Let h = 4.9295023 + 0.0704977. What is the third biggest value in -0.5, u, h, -0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/(-80) - (-1736)\/992?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:48 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 493151621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from cccjccjcjgfccccjccj.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217838*n**4 + 167606 with respect to n.\nAnswer: -871352*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:17 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u. Let q = -119 + 121. Let z(b) = -6*b**2 + 7*b**2 + 4*b**q + 2*b**2. Give i(z(v)).\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 44 + 120 = -12*o, -3*m = -2*o - 9 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 + 90*s**2 + 126*s - 67. Let n(l) = 20*l**3 + 268*l**2 + 380*l - 202. Suppose 116*t = 120*t - 12. Let g(i) = t*n(i) - 10*w(i). Factor g(b).\nAnswer: -2*(b + 2)*(b + 8)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 616\/9 + -910\/9. Let m = a + 33. Let f = 2.9 + -0.9. What is the biggest value in m, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155\/1038 or -206?\nAnswer: 155\/1038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5001043 (base 6) to base 12\nAnswer: -b3183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n**2 + 362*n - 29. Calculate k(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135159861*u**4 + 4*u**2 + 203*u - 7404 wrt u?\nAnswer: 3243836664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 70 - 151)*(-1 + 5 - 2) - 1 - 2 + 1)*(2 - 2 - 2*k).\nAnswer: 916*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + k**3 + k**3)*(123 - 39 + 38 + 0 - 1 - 1 + (-2 + 3 + 1)*(3 + 0 - 2)).\nAnswer: -244*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2)*12\/(-18). Let c be (3 + z)*1\/(-2). Suppose 4*h - 94 - 18 = c. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -921, -2169, -3479, -4881, -6405?\nAnswer: -8081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-4 + 6))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2637)\/(-18)*(0 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*h**2 + 28*h**2 + 88*h**2 - 2*h wrt h.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let t = -5 + f. Suppose b - 5 = t, b = -l + 6*l + 5. Solve l = -3*h - 1 - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42696 and 28978?\nAnswer: 618622344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4311230 - 4?\nAnswer: -4311234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (14\/21)\/(12\/71370) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 26\/5. Let u = 67 + -66.5. Which is the fourth smallest value? (a) u (b) q (c) -0.7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9245\/(-645))\/((-8)\/6*95\/(-380))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -37. Which is the third biggest value? (a) -1 (b) 2\/11 (c) 0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74a1 (base 11) to base 8\nAnswer: -23270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3*(-6)\/2. Suppose -2*u + 18 = 4. Let o(f) = f**3 - 7*f**2 - f + 4. Let x be o(u). Put r, 2, x in descending order.\nAnswer: 2, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 - 2?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 0, 2\/35, 18?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/468 and -93\/1015696.\nAnswer: 118836432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 12*m - 9. Let g be d(9). Let x = 71 + g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15 - 2358\/(-90))*(11 + -1). Solve -8*w - n = -48 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -265, -1029, -2265, -3943, -6033, -8505, -11329, -14475?\n\"Answer: 5*f**3 - 266*f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 2*b + 5*j = 39, 4*b - 4*j - 12 = h*b. Let u = -8 + b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 1, 3*p - u = -6*u - 113. Let k be p\/(-27)*(-3)\/2. Let m(h) = -30*h + 4. List the prime factors of m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 32098\nAnswer: -2246.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -389 - -380. Let h = -45 - -20. Let f = h + 16. Is a less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903c8c (base 14) in base 8?\nAnswer: -22402664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 147*j + 6821. What is the tens digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9800 + 34860*v + 1428*v**3 + 6821*v**4 - 5907*v**2 - 6841*v**4 - 20561*v**2 = 0. What is v?\nAnswer: 2\/5, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 i when four letters picked without replacement from iiiriirr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(43\/2)*g**10\/(g\/(g**(1\/3)\/g)*g) assuming g is positive.\nAnswer: g**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 92002768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153513 is divided by 1485?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 126*w - 122*w - 15 = 11, -4*h + 1 = w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o. Let d(g) be the third derivative of 4*g**5\/15 - 46*g**2. Calculate d(a(z)).\nAnswer: 1024*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36915.597 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 4*o**2 - 3*o + (-4*o**2 + 2*o**2 + o**2)*(1 - 5 + 2) + (2*o + 11 - 3*o - 10)*(8*o - 2*o - o) to the form m + p*o**2 + l*o and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = 0, -762*q + 764*q + 2*f - 74 = 0. Calculate the lowest common multiple of 3234 and q.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.6 - 5.6. Let h = -1236.932 - -1237. What is the biggest value in h, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 5*v - 2. Let j be 1\/(2\/(-8)) - (-31 - -26). Let a(y) = y**2 + y. What is j*o(k) - 6*a(k)?\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 15*z - 37. Let m = 70 + -87. Let h be w(m). Which is the closest to h? (a) -4 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Suppose v*x - 12 = 6. Let i(u) = 2*u**3 - 9*u**2 + 9*u - 3. Is i(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.4. Let m = -0.06 - -2.06. Let c = 1 - 0.8. What is the nearest to r in m, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 3.0525?\nAnswer: 5.0525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -79, 4, -187, -5, 5, -4 in descending order.\nAnswer: 5, 4, -1, -4, -5, -79, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 0 - v - 4 + v**3 + 2*v**2 - 2*v. Let n be a(-3). Let t = n - -4. Solve t = -3*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r - 1\/24*r**4 + 0 + 125*r**2 - 1\/3*r**3. Let p(l) = -l**2. Give d(p(b)).\nAnswer: b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1362, -1346, -1330, -1314, -1298, -1282?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 2*x**4 - 3*x**4 - 2 + 5*x**3 - x + x**2 + 1 to the form w*x + z*x**4 + l + q*x**3 + h*x**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 63*u - 128. Solve u*c - 11 = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29355.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 11 = -4*t, 15 = 4*t - 0*d + 3*d. Let q = 1\/30 + -1\/5. Which is the nearest to t? (a) 0.6 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 18 + -35 - -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n - 1. Let s(p) = -p**2 + 4*p - 8. What is -s(j) + 2*t(j)?\nAnswer: -j**2 - 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1261800 + -1998691067\/1584. Find the common denominator of p and 59\/16.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + f + 2 - 14, 5*d - 3*f = -8. List the prime factors of 78\/d*(-10)\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 + 1260*w**2 - 208 + 2276*w**2.\nAnswer: 3536*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*w + 13*w**2 - 32*w)*(3 - 1 - 3) + ((5 - 4 + 0)*(-3*w**2 + 6*w**2 - w**2) - 3*w - 5*w**2 + 3*w)*(-1 + 3 - 3).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from pkssp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (75\/12)\/((-2)\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30330 and -16\/21231?\nAnswer: 212310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959 + 1267 = -25*s - 71*s - 10*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257\/1100070 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4 - 4)*(z**2 - z**2 - 6*z**3)*(3*z + 0 + 0) - 2*z**5 + 3*z**5 + 2*z**5.\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -243.4 + 2.4. Let p = 240.949248181443 + 0.050749788557. Let l = p + v. Round l to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*y = 28, h - 25 = 5*y - 18 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-5) - (17 + (-528)\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 87087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nur when three letters picked without replacement from nnrrrnururnurnnrnn.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (-1 - -5) - (56 + -86).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 + 34.984709508?\nAnswer: 40.484709508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.368 + 0.39. Let x = 3.022 - n. Let t be ((-10)\/24)\/(1\/3). Which is the second biggest value? (a) x (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -78, -172, -304, -474, -682?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17852, 17851, 17850?\n\"Answer: -c + 17853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -n - 13, 0 = -4*j + 6*j - 4*n - 30. Calculate the smallest common multiple of 9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 18 - 0. Let g be ((-12)\/9)\/(4\/q). Let k(p) = 3*p**2 - 2*p**2 - 4*p + p**2 - p**3 + g. What is k(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4113\/4, 2\/3, -43.48 in decreasing order.\nAnswer: 4113\/4, 2\/3, -43.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -539706075 + -2?\nAnswer: -539706077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 495507722 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 3*z = 14*u - 43, 63 = -u - 4*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3531 + 10589\/3. Let m(r) = r**3 + 5*r**2 - 6*r + 7. Let z be m(-6). Let u be 9 - (6\/(-2) + z). What is the closest to -0.1 in j, u, 8\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 4*k**3 + 6*k**3 + 18*k)*(4 - 1 - 5) to v + o*k**3 + q*k + d*k**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*t**3 + 964*t**2 - 964*t**2 - 176 + 176.\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/(-2 - (-4 + 1)) - -59 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 54*c - 42. Let g be k(19). Suppose t = -4*y + 5*t + g, 0 = -3*y - 5*t + 274. Calculate the least common multiple of y and 9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**2*t - 3*q**2 - 36*q*t - 4*t wrt q.\nAnswer: -6*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37821, 37915, 38009, 38103, 38197, 38291?\n\"Answer: 94*p + 37727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687608 is divided by 11272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*k + 5. Calculate the least common multiple of 5 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 5*c**4 + c**4 + (3 - 2*c**2 - 3)*(-c**2 + 3*c**2 + c**2).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 52, 159, 320, 535, 804?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.81 + -9. Let z = -0.11 + n. What is the nearest to 4 in z, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 991 (base 15) to base 12\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 6*w - 2*w)*(7 - 3 - 2)*(2*w + 2*w - 6*w)*(4 + 4*w - 4).\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25517032*c**5*t**2 + 2*c*t**2 - 31145*c*t - 3*c wrt c?\nAnswer: -510340640*c**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/78*126\/(-4) - 0. What are the prime factors of (-16740)\/y - (-6)\/14?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 at least 0.0920032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 9\/5*p**2 - 27*p + 11\/30*p**4 + 0 - 19\/15*p**3 - 1\/50*p**5. Factor i(a).\nAnswer: -2*(a - 9)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -120. Which is smaller: r or -42\/5?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7477.9 (b) 23 (c) 7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 15*q - 10*q - 85, -49 = -14*n + 15*n + 23*q for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -56, -2, -2\/15, -5487?\nAnswer: -5487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -33.104. Let a = -20859225.895999778 - -20859226. Let y = a + h. Round y to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + 125. Calculate the common denominator of (570\/k)\/(2\/(-4)) and 101\/434.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/7, -45796\/7, 0, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179751*b**3 - 103539*b**2?\nAnswer: -1078506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 8*w = -80 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 327280\/3461 less than 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiiiiiidddvmissdvdd. What is prob of sequence sidi?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -222118\nAnswer: -17\/111059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, -12, -39, -66, -93, -120?\n\"Answer: -27*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 17*u + 8. What is the remainder when f(11) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 35*r. Let w(c) be the second derivative of 7*c**3\/6 - 1040*c. Determine w(g(p)).\nAnswer: 245*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 0*i + i + (1 - 2 + 2)*(-2*i + 2*i + i))*(-i**3 + 2*i**3 + 0*i**3) to the form c*i**4 + h*i**3 + b*i**2 + l*i + q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47057113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-258)\/(-128))\/(6\/(-2)) and -45\/44.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/100 or -1?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 11088.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 6*n)*(n + n - n) + n**2 + 2*n**2 - 2*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4275)\/50)\/(-57))\/(4*(-12)\/2240).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -j + 12, -2*f - j + 0*j = -6. Let v be f\/(-36)*(10 + -13). Sort 0, -5, v in decreasing order.\nAnswer: v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 1. Let w be o(1). Suppose -w = 2*j - 11. Solve j*k = -12 - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 18*b - 35. What is t(-19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7*l**2 + (l - 2*l - l)*(-l - l + 4*l) - 5*l**2 + 3*l**2 + l**2)*(3*l + l - l).\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-14)*70\/15. Suppose 2*f = -3*n + 476, 5*f + l*n - 1177 = 3*n. Is 43 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:16 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7415?\nAnswer: 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 bigger than -2\/1861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-5)*(-120)\/(-9). Solve 0 = d - 6*d - 5*s, -3*d + s + b = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) - (sqrt(160) - -3*sqrt(160)))\/sqrt(8) - (sqrt(30)\/sqrt(2)*-4)\/sqrt(3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 640322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from wrwwwrzrw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.411.\nAnswer: 2.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -31.473?\nAnswer: -31.473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 416\/(-130) - 2\/(-10). Let z(o) = 3*o**3 + 4*o**2 - 4. What is z(t)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.58966 micrograms?\nAnswer: 0.00000000158966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:09 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 25*x - 53. Let q be z(2). Let t be ((-4)\/13)\/(q - -1). Let g = 0.9 - 1.3. Which is the nearest to 2? (a) t (b) 3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 8*b - 7. Let y(t) = t**3 + 6*t**2 + 3*t + 9. Let g be y(-6). Let p be f(g). Solve -p*h - 2 = 8, 0 = -4*s - 3*h - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from onmmonmn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -93 + 2?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cb45 (base 14) in base 15?\nAnswer: 232a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5756030 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12))\/(1\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/8 (b) -6 (c) -1 (d) -2\/3 (e) 0.2 (f) 1\/1157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 15. Let s be x(-4). Let j be -7*4\/s*9\/42. What is the second smallest value in 3, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = 115*h + 669 + 75 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let f(n) be the third derivative of n**6\/120 + n**5\/60 - n**4\/24 + n**3\/6 - 3*n**2. Determine f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001075795585 to 7 dps.\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/41 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/11 - 4802*i\/11 - 9612\/11 = 0.\nAnswer: -2, 2403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 11}. What is prob of picking 1 h and 1 a?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 248 - 250. Let q(a) = -a**2 - 2*a - 3. Let g(t) = 3*t**2 + 7*t + 10. Let c(o) = -2*g(o) - 7*q(o). Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 + -168. Let u(y) be the first derivative of -2*y**f + 7\/16*y**4 + y + 5\/12*y**3 + 2. Factor u(l).\nAnswer: (l - 1)*(l + 2)*(7*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1041999*x**4 - 8*x**3 + 49092*x**2 - 1077*x.\nAnswer: 25007976*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 7448912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 827059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -608 + 677. Calculate the remainder when y is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9*d - 7. What is b(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/35)\/(((-2295)\/(-2550))\/(36\/(-8)))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -73.32, -4\/3 in descending order.\nAnswer: 102, -4\/3, -73.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 2800.16140946.\nAnswer: -2799.66140946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from jececcddacce.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, 12, -0.078, 0.8, -2\/11 in decreasing order.\nAnswer: 12, 2, 0.8, 0.1, -0.078, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 4*s)*(-s - 5 + 5) - 10*s**2 - 7*s**2 + 5*s**2 + 3*s**2 - 2*s**2 + 0*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 + 81718?\nAnswer: 81788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12769856 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1317, -4902, -10763, -18906, -29337, -42062, -57087?\nAnswer: -74418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - 2*o - o)*(3 - 4 + 3) + 0*o - 4*o + 3*o)*(-8 + 19 - 12) + 4*o + o + 7*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3*u**2 - 10251368*s**3*u - s**3 - 2*s**2*u**2 - 3*s**2 + 1368524*u**2 - 2 wrt s.\nAnswer: -6*u**2 - 61508208*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*m + 77*m + 3*g + 18, 14 = -4*m + g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqjixqqii. Give prob of picking 2 y and 1 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a day in hours?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 4*y - 6. Determine a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 3*k + 2*k**3 + (-4*k - 3*k - 3*k)*(-k**2 - 3*k**2 + 6*k**2).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 682 - 9904. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 74.775?\nAnswer: 7.4775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k**2 - 7*k - 35. Let b = 1516 + -1523. Let g(q) = 9*q**2 + 5*q + 25. Let z(i) = b*g(i) - 5*t(i). Let w(j) = 11*j**2 + 3*j - 3*j. What is w(z(h))?\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45195168 to the nearest integer?\nAnswer: 6723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9))\/((-3)\/(-6)). Let m = 1 + 4. Which is the third biggest value? (a) m (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-9)*(-24)\/(-20). Put 0.2, 4, 0.1, b in ascending order.\nAnswer: 0.1, 0.2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1689 + -1049. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0 + 2 - 2 + 17*j. Let a(w) = -2*w + 6 - 6. Calculate a(u(x)).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*l + 55, -37*l + 35*l + 3*g + 15 = 0. Solve -l*f - 4 = -11*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 2 i when four letters picked without replacement from {k: 1, j: 2, i: 2, a: 1, t: 1, p: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*b**2 + 42*b**3 - 38*b**3 - 3903 + 1121*b - 9493 - 1125*b wrt b.\nAnswer: 12*b**2 + 28*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8764 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*m - m = 16, 0 = -3*p - 4*m + 16. Let k(c) = 9*c**2 - 7*c + 22. Let d be k(3). Solve -5*j - d + 62 = p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let c(g) = 13*g**2 - 6*g**2 - 3 + 4*g**2 + 17. What is c(q(l))?\nAnswer: 11*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226632878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 500*h**3 - 600*h**2 + 240*h - 28. Let s(r) = 1. Let l(b) = -4*s(b) + v(b). Factor l(j).\nAnswer: 4*(5*j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 6*c**2 + 3*c + 14. Let z be t(2). Which is greater: -39 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 64. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 4, b: 3, p: 2, q: 1}. What is prob of sequence bqp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(5\/((-987820)\/395112) + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -80*l**2 - l + 1. Let x be m(1). Let g = x - -238\/3. What is the third smallest value in -6, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - c198b2?\nAnswer: -c198b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-13 - (-6 - 4)). What is the closest to 4\/7 in g, -2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 + 8318*r**4 - 5*r**3 - 176151*r**2?\nAnswer: 60*r**2 + 199632*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) -432\/245 (d) 0.05 (e) -3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 9. Determine t(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 35204176?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:00 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 118*t - 18721. Give w(157).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 317 = -239. Suppose 0*b = b - q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-40)\/(-1290))\/(-1))\/((-2)\/(-73529)). Let f = 1140 + w. Is -1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 2*k. Let w be q(-3). Solve -3*j = -0 - w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9955 by 5.\nAnswer: -1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10 - (-2)\/(-90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -2*k + 19*o, 33*k - 29*k + o - 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 472.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((261\/43500)\/(12\/16))\/(3\/((-75)\/(-10))).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-22\/5))*q**9 assuming q is positive.\nAnswer: q**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/(-5700))\/((-14)\/(-133))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frbyfboobfobff. What is prob of sequence obyb?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 506506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -129?\nAnswer: 3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 42*t + 0*t - 35*t to a + n*t and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -763, -762, -761, -760, -759?\n\"Answer: h - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 56*x**2 - 61*x**2 - 13*x - 236 + 13*x. Let c(a) = a. Determine -2*c(b) - l(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let d be (2\/(-4))\/((-2)\/4). What is the biggest value in x, d, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13122.4684 rounded to zero dps?\nAnswer: 13122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = -2*c, -4*c - z + 1 = -12. Suppose 0 = c*w - 0 - 15. Suppose -1 = -m + w. Solve -4*f + 2*j = m, f + 3*j - 12 = -j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-444)\/168)\/37).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206857259429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 126, 282, 500, 780, 1122, 1526?\n\"Answer: 31*j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:50 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/265 and 31\/15?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105855983 or -1?\nAnswer: 105855983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f**2 - 3*f)*(f + f - 3*f - 1 - f + 1 + 4*f - f - 2*f + (-4*f - 3*f + 5*f)*(4 - 2 - 3) + 2*f + 3 - 3 - 2*f - 4*f - 3 + f).\nAnswer: 4*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.6 (b) 2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 - 11 = 0. Calculate the least common multiple of m and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 0.3, 5, -603, 1, 2\/17?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 34*w**2 + 118*w + 58. Let x be m(30). Let u(z) = -3*z. Let h(b) = -48*b. Determine x*h(j) + 33*u(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -32.4233?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 15*o - 102 - 7 + 3*o - 6*o + 4 + 1 - o - 1 + (2*o + 3*o - 3*o)*(0 + 2 + 0) - 3*o + 3*o + o)*(0*o - o + 2*o).\nAnswer: 16*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 276 = -b. Suppose s + 2*s - b = 0. Suppose -4*w + 5*h = -s, 3*h + 0 = -5*w + 1. Solve -w*v = 2*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7174 divided by -422\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)\/(z**23*z))\/(z**(1\/38)*z**26*z) assuming z is positive.\nAnswer: z**(-13725\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3298825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 7*n**2 + 3*n - 12. What is the thousands digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.5608 rounded to 1 dp?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, -17, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 - 88. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100174 (base 8) to base 15.\nAnswer: -112b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 16 = 9*u. Solve -3*t = -5*d + t + 15, 0 = u*t + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oitotpopoxopypp. Give prob of sequence oxy.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:29 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtoqreq. What is prob of picking 1 r, 1 t, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 696712?\nAnswer: 7663832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x + 1. Suppose f - 1 = -n, -3*n - f = f - x. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + (1 - 1 + 1)*(2 + 2 - 3) - 4 - 1 + 3 + 2 - 2 + 1 + 0 - 3 + 2)*(104*g**3 - 104*g**3 + 65*g**4 + (g**4 + g**4 - g**4)*(0 + 3 - 1)).\nAnswer: -201*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23527854 divided by 126.\nAnswer: 186729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 5*f + 5*f)*(4*f**4 + 2 - 2 - 2*f**3 - f**4 + 2*f**3 + (2 + 0 - 4)*(-f**3 + f**4 + f**3)) + (0*f**4 + 0*f**4 - 4*f**4)*(f + 0*f - 4*f).\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 24495000 to the nearest 100000.\nAnswer: 24500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749 and 308053?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*d - 30, -10 = -19*d + 18*d - 2*a. Suppose -x - q + 8 = q, q = 4. Solve x = 3*f - f + d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21*m**2 + 1. Suppose 3*t = -4*k + 5, 6 = -5*t + t + k. Let h be d(t). What is the tens digit of 150\/(-4)*h\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 12. Let w = 19 - 28. Let u = w + k. Calculate the least common multiple of u and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 757542 to the nearest one thousand.\nAnswer: 758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, w: 1, r: 1, o: 3, n: 1}. Give prob of picking 1 o and 1 u.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/30 - w\/10 - 8. Determine z so that g(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 360.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 14. Let b(m) = -3*m - 12. What are the prime factors of b(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -493, -712, -931, -1150, -1369?\nAnswer: -1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -16. Suppose -i + 0*i = -21. Suppose -9 + i = 4*h + 2*u, -3*h = -3*u - k. Solve -2*x - h = 3*b + 20, 10 = -4*x + 2*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.91 + 17.91. Which is the closest to -0.6? (a) z (b) 11 (c) -2\/9 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10 - 15 + 5*s**3.\nAnswer: 5*s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**5 + 4*d**5 + 0*d**5 - 4*d)*(0 - 4 + 3).\nAnswer: d**5 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -183, -66, 53, 174?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1206 by 5.\nAnswer: 1206\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 0 - 2 + 4 - 6. Let k be z(-9). Solve 11 = 3*j + k*b - 8, 0 = -2*b + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = i + n + 5, 0 = 2*i - 2*n - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -649*h + 1. Let p(l) = l. Calculate b(p(d)).\nAnswer: -649*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 15*i + 12 = 0. Let y(p) = -3*p + 6. Let n(f) = -4*f + 7. Calculate i*y(l) - 2*n(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(1\/9 + 964\/(-252))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263050691147509 minus 2?\nAnswer: 1263050691147507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7684*w. Let q(n) = -1075*n**2 - 4. What is q(j(t))?\nAnswer: -63472145200*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 46 = -2*q, -3*q = 15. Suppose 0 = 4*g + 5*p - p - 12, -5*g - 3*p + y = 0. Solve g = -4*t + 12, 0 = -5*u - 4*t + 1 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 46. Let n be (-24)\/l + 32497\/(-5). Round n to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122750 + -122751. Let r be 46\/(-22) + (-4)\/(-2). Which is the nearest to o? (a) -3\/5 (b) r (c) -4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4950)\/(-4455)*(-27)\/12.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4068.318 years in millennia?\nAnswer: 4.068318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 268923, 537837, 806751, 1075665, 1344579, 1613493?\n\"Answer: 268914*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -36. Let i = r - -3. What is the nearest to -12 in i, 2\/15, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1842 + 1867 = 4*r, 2*r = -4*j + 40 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.868407118 rounded to 2 decimal places?\nAnswer: 21.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 20 = -5*j, -j = -2*j + 4. Suppose i*p - p = -17. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -992721 divided by 6\nAnswer: -330907\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -14 (c) 2 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159531 - 159526. Let 16\/7*j**4 + 4\/7 + 26\/7*j + 32\/7*j**v - 94\/7*j**3 + 16\/7*j**2 = 0. What is j?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 7, 101, 5, -0.1 in decreasing order.\nAnswer: 101, 7, 5, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00148057 to 5 decimal places.\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 55. Let q = n - -11. Let r = 5.7 - 6. What is the smallest value in q, -1, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70.81247 litres?\nAnswer: 70812.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + 4.13. Which is the closest to -2\/9? (a) -5 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 3286\/10. Let o = u - -45. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -685 times -6.7\nAnswer: 4589.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 852*k**3 - 37485*k**2 - 132*k = 0.\nAnswer: -1\/284, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2452*z**6 - 563*z**2 + 2*z - 1 wrt z?\nAnswer: -294240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p. Let o(c) = -3*c**2 - 5*c - 3. Let x(u) = -3*o(u) - 15*r(u). What is the first derivative of x(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 9, -3.7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -355*x**5 + 10*x**4 + 7*x - 4. Let m(c) = -2*c**4 - c + 1. Let u(q) = -g(q) - 5*m(q). What is the second derivative of u(f) wrt f?\nAnswer: 7100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.349 + -0.149. Which is smaller: 69 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -18*a**2 + 651*a + 1. Give c(37).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63847.3g to tonnes.\nAnswer: 0.0638473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/222 and -58\/259.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*n**3 - 3280*n - 364646.\nAnswer: -141*n**2 - 3280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102203600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32276, 31035, 28964, 26063?\nAnswer: 22332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 8*x**2 - 4*x - 1. Let k be o(9). Is (-9663)\/(-33) + (2 - 80\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1544*i**2*z**2 - i**2*z - 175*i**2 + 3*i*z**2 - 2*i*z - 15969*i + 2*z**2 - 2*z wrt i.\nAnswer: -3088*z**2 - 2*z - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15c + 66a?\nAnswer: 50e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 518, -6, 2\/3, -3 in ascending order.\nAnswer: -6, -3, 2\/3, 2, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - 108.8. Let b = 104 + v. What is the smallest value in 0.5, b, 7\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/((-50)\/12))\/((-1110)\/100). Is l less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -64.7. Let i = -0.06 - -0.46. Suppose 0 = 4*k - 4*g - 12, -158 = -4*k - g - 191. What is the nearest to k in 0.06, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 3\/20*o**5 - 9\/64*o**6 + 0*o + 5\/112*o**7 - 1\/16*o**4 + 0*o**3 + 0 - o**2. Find c, given that s(c) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*y - 20*y - 14*y - 8*y**3 + 3*y**3 to j*y**3 + c*y**2 + v + t*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16 - 65\/20. Put 4\/9, 0.2, 4, r in increasing order.\nAnswer: r, 0.2, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 7*p**2 + 7*p - 7. Suppose 2*j = 4*j + 16. Let y be q(j). Let b(x) = -x - 7. Let f be b(-3). Sort f, 10, y, -1.\nAnswer: f, -1, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 348*x - 292*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48270584*r**2 + 36329218 wrt r.\nAnswer: -96541168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f + 18301 + 30*f**2 - 9150 - 9149 to t + o*f + j*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 40*w**4 + 2*w - 2 + w**3 - 7*w + (-2*w - w + 5*w)*(2 + w**3 - 2).\nAnswer: 42*w**4 + w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 4972. Let i = z + -734. Let x = -2025\/4 + i. Find the common denominator of x and 67\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56 + 65 - 97 + 4*s - 6*s + 0*s + 4*s + (-2*s + 1 - 1)*(-1 + 0 + 2) + 0 - s + 0 + s + 2 - 2 - 3*s + s + 0*s + 0 + 0 + 4*s + 1 - 2*s - 1 - 4*s + 0*s + 3*s.\nAnswer: -s + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqqooomqqoqoomo. Give prob of sequence qmq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + -56. Suppose n + 4*n = -10, l = c - n. Let d = c - 193. What is d rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 26 = -5*o - 3*f, 2*o + 4*f - 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16*m*m*m**7\/m*m*m*(m**(3\/2))**(-9\/4))**(-6\/23) assuming m is positive.\nAnswer: m**(-543\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295933?\nAnswer: 11, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/40 and -119\/324.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -85?\nAnswer: 61\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145375 + 145364.99998. Let p = 11.7 - 1.7. Let j = s + p. What is j rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848920 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2268, 2267, 2266, 2265, 2264, 2263?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12088*m + 4130*m - 18*m**2 + 3981*m + 3977*m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**9\/((u*u**(-5\/3))\/u**(-2\/11)))**(-15) assuming u is positive.\nAnswer: u**(2890\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 86 = -4*z - 0*z, z - o - 29 = 0. Let u(p) = p**3 - 2*p**2 - p + 2. Let l be u(2). Suppose l*r - 2*r + z = 0. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1130)\/8 - (-11)\/44. Let k = -137 - p. Calculate the remainder when 11 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2233937 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/72 and -35\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 4*g**2 + 3*g + 4. Let v be a(-2). Solve -4*s + 2 = -o, 4*s + 2 - v = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465 and 255.\nAnswer: 7905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/15)*(p*(((p*p*p**(-4\/21))\/p)\/p*p)\/p*p*p*p)\/p*p\/p**(3\/2)*p\/((p**7*p)\/p))**(-35) assuming p is positive.\nAnswer: p**(803\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 2*k**2 - 128*k - 13. Let l be m(-10). Calculate the greatest common factor of 5226 and l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 1947*t - 1949*t + 3, -2*w = 3*t + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482569?\nAnswer: 482569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2700511*v - 2*u - 27 = 2700506*v, 18 = -3*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.9, -1\/200, 0.1?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 9*b + 15. What are the prime factors of r(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54405 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002316 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 + 0.2. Let u = 1.6973 - -0.3022. Let s = m + u. Round s to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/17 (b) 622\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/18)\/((-2)\/48). Suppose p - w = -0*c + 2*c, 0 = 4*p - c - 18. Let z(o) = -o**3 + 5*o**2 - o + 1. What is z(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((9610\/(-20))\/31)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12.4 (b) -155 (c) 0.3 (d) 0.2 (e) 3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -71, 2 in descending order.\nAnswer: 2, 1, -2, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) 1 (d) 0.091 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -24 - (185 + -130)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 u when three letters picked without replacement from {s: 2, u: 1, k: 2, t: 2, z: 2, d: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 1. Let b(z) = 177*z**2 + 1. Calculate 2*b(o) - 2*q(o).\nAnswer: 356*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -132*f**3 + 196*f**2 + 395*f - 14. Give x(-2).\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 36 = -4*l + 50, 10 = 5*r. Calculate the highest common factor of l and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 + 1 - -7) + (277 - (53 - -87))\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61268950 less than 1?\nAnswer: 61268951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270888 by -135444.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 2*r**2 + 3*r - 4. Determine v(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - n**4 - 7 - 9 + 1 - n as v*n + p*n**4 + t + g*n**2 + u*n**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*w - 8074 = -2140*w + 41800 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737988 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*h + 84, 0*y - 4*h = -2*y + 26. Suppose -3*q = 4*f - y, 23 + 4 = f + 5*q. Let g be 3\/(6*(-2)\/(-8)). Solve m - 15 = 5*s - g*m, m - 6 = f*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 21. Suppose -4*g + 17 = 1. Suppose g*r = j - r - 14, r + 10 = 2*j. Calculate the greatest common factor of k and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 126. Suppose 5*m - 2*m = -3*q + 114, -5*q = 3*m - y. Let a(f) = 12*f**3 + f**2 - f. Let z be a(1). Calculate the highest common factor of z and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 423.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*x + p, p = -2*x + 16 - 6. Suppose 5*v = -5, -v = 2*d + 3*v + 4. Suppose -y + 3 = -d*y. Solve 5*s + 32 = -x*g, 5*g + y*s - 8*s = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*c - 11. What is the tens digit of 455\/(2 + c + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75444 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 12*q**2 + 320*q.\nAnswer: -2*q*(q - 16)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 + 163*s**3 + 3 + 0*s**2 + 3 + 11*s**2 + 3*s**2 wrt s.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446941559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59c48 - -2?\nAnswer: 59c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 612*l**2 - 1 + 620*l**2 - 1234*l**2 to m*l + h*l**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -741*g**2*r**3 + 740*g**2*r - 669*r**3 - 2*r**2 + 44*r + 1 wrt g?\nAnswer: -1482*g*r**3 + 1480*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-4)*62\/93. Suppose 3046 = 2*n + y*g, 3*g = -n - 0*n + 1523. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51988.\nAnswer: 2, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1769 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 25*t + 105851099 + 11975901 = 0. Round t to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n. Let x(k) = 4*k**2. Give p(x(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1577 (base 13) to base 16\nAnswer: -c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*q + 201 - 72 = 0, -3*q + 135 = 2*z. Calculate the highest common divisor of z and 858.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 63 = -15*k. Let i = k + -51. Which is smaller: i or 14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963065893 is divided by 1412.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 2*k**2 + 25*k - 53*k + 29*k in the form c*k + b*k**2 + d*k**3 + q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - y**2 - 2*y**3 - 20*y**4 + 0*y**3 - 3*y**2 + 39 + 23*y**4 - 43*y to v*y**3 + p*y + t*y**2 + q + m*y**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - sqrt(450)*2)\/((sqrt(10) - (-1*sqrt(1000) + sqrt(1000) - sqrt(10))) + sqrt(10)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 3. Let s be a(3). Suppose 4*y = 2*k - s - 14, -y = 5*k - 17. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 2*x**2 - 5*x + 6. Suppose 32 = 4*d - 0*d. Suppose s - d = -s. Is 9 a factor of u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 6*h - 6. Let c be s(-5). Let l be ((-1)\/(-3) - 0)*c. Suppose -2 = -2*x + z - 0*z, -5*x - l = 2*z. Let u(g) = -6*g. Calculate u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63902 or 64266?\nAnswer: 63902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 17 + 22 - 52 + 13.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/5936 and 13\/9787192.\nAnswer: 137020688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24.54 times -117\nAnswer: -2871.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + w - 6*w + (-3*w + 2*w + 2*w)*(4 - 7 - 6).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 + -123. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 23.6?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:09 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 4, k: 1, r: 1, u: 1}. Give prob of picking 1 r, 1 u, and 1 k.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let d be (-1)\/(12 + (-584)\/48). What is the nearest to n in -2, d, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12030000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*g**2*y**3 - 2*g**2*y + 190*g*y**2 wrt y.\nAnswer: -234*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1005 - 645. What is the common denominator of (-802)\/y + 13\/52 and -85\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*b + 65*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 321*l + 211. What are the prime factors of f(7)?\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 11*w - 15*w - 457, 2*m = 5*w + 899. Suppose 9*g + 14*g = m. What is the remainder when 220 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*z - 9, 0 = -0*b - b + 3*z + 16. Let o(n) = -3*n - 6. Let y be o(-10). Suppose -b = k - y. Calculate the greatest common divisor of k and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vom. Give prob of sequence vm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2, 3.3667, -3\/2?\nAnswer: 3.3667","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -43, 0.4, -5\/6, 6, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j = -26*j - 17*j - 6. Let s(x) = x**2 - 4*x - 1. Let d be s(4). Put d, 6, j, 5 in increasing order.\nAnswer: d, j, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3360, 3233, 3018, 2715, 2324?\n\"Answer: -44*s**2 + 5*s + 3399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 16 - 15*l**3 - 84 + l as k*l**2 + g + h*l**3 + t*l and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millimeter in micrometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 5, q: 1, y: 1, v: 4, z: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w\/(w**(-14\/3)*w))\/(w**0)**(-18) assuming w is positive.\nAnswer: w**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}